you can rent time on computers at the local copy center for a $10 setup charge and an additional $2 for every 5 minutes. how much time can you rent for $25?
You can rent time on computers at the local copy center for 35 minutes with $25.
To find out how much time you can rent for $25 at the local copy center, follow these steps:
1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.
So, you can rent time on computers at the local copy center for 35 minutes with $25.
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True/False
1) The nullspace of a 3x4 matrix cannot consist of only the zero vector.
2) The nullspace of a 4x3 matrix cannot consist of only the zero vector.
3) The set of all vectors of the form 1
x
y
where x and y range over all real numbers, is a subspace of R^3.
4) 3) The set of all vectors of the form 0
x
y
where x and y range over all real numbers, is a subspace of R^3.
Null space is defined as the set of vectors 'x' in Rn that are solutions to the matrix equation A*x = 0. False: The set of all vectors of the form 1 x y where x and y range over all real numbers is a subspace of R3. True: The set of all vectors of the form 0 x y where x and y range over all real numbers is not a subspace of R3.
1) False Null space can consist of zero vector only. A null space is defined as the set of vectors 'x' in R^n that are solutions to the matrix equation A*x = 0.
2) True The number of columns can never be less than the number of rows of the matrix in order for a null space to exist, hence a 4x3 matrix may have the null space of only the zero vector.
3) True The set of all vectors of the form 1 x y where x and y range over all real numbers, is a subspace of R^3. This set contains zero vector because for x=0 and y=0, we get the vector as [0,0,0]. Hence it is a subspace of R^3.
4) False The set of all vectors of the form 0 x y where x and y range over all real numbers, is not a subspace of R^3 as it doesn't contain zero vector. To have a subspace of R^3, it should contain a zero vector.
So, the correct options are:1) False2) True3) True4) False
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(n^3+3n^2-15n+19)/(n-2) Synthetic Division
The quotient is n^2+5n-5 and the remainder is 9. The solution has been obtained by using the synthetic division.
What is synthetic division?
Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1."
We are given the expression as (n^3+3n^2-15n+19)
The expression is to be divided by (n-2)
So, by using the synthetic division, we get
2 | 1 3 -15 19
- 2 10 -10
1 5 -5 9
Quotient = n^2+5n-5
Remainder = 9
Hence, the quotient is n^2+5n-5 and the remainder is 9.
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(Score for Question 3: of 5 points)
3. Kiana needs to raise $600 to buy a new bike. Kiana has already saved $65.25. To earn the rest of the money,
Kiana is selling hair products for a salon. Each hair product costs $34.50 and she can keep half of the sales
for profit.
Before selling any hair products, Kiana wanted to determine exactly how many products she needed to sell to
meet her goal. She uses the equation 0.5(34.50x) = 600 to determine the number of products she needs to
sell. Using this equation, she determines that she needs to sell 35 hair products. Is Kiana correct?
If she is, please explain what (34.50x) represents. If she is incorrect, rewrite the equation to correctly
determine the number of hair products Kiana needs to sell to meet her goal and solve the equation. Show
your work.
Answer:
Answer:
Kiana's conclusion is incorrect. Kiana needs to sell 31 hair products
Step-by-step explanation:
The equation written doesn't factor in the $65.25 that she already had saved. The correct equation would be 0.5(34.50x) = 600 - 65.25. The answer to that would be 31 hair products needed to be sold.
Answer:I would say she is incorrect.
she needs to sell 31
Step-by-step explanation:
her formula gives us $603.75 for a total
She only needs to raise $534.75 ( 600-65.25)
she makes 17.25 (34.50/2)on each sale so 534.75/17.25 =31
0.5(34.50x)=534.75 using the way she wrote it but could be simplier cause we already know she gets 17.25 so 17.25x=534.75 x=31
The area of the surface of the swimming pool is 210 square feet. what is the length of the deep end?
The length of the deep end is 12 feet of the swimming pool.
Given: Area of the swimming pool is 210 square feet
Width of the pool = 10 feet
The length of the shallow end is 9 feet and the length of the deep end is d.
To find the value of d.
Let's solve the problem.
The area of the swimming pool is 210
The width is 10
The deep end length is d
The shallow end length is 9
The total length of the swimming pool = The length of the deep end + The length of the shallow end
=> d + 9
Therefore, the total length of the swimming pool is d + 9
The surface of the swimming pool is rectangular, so
The area of rectangle = width × length
Therefore,
area of swimming pool = width of the pool × length of the swimming pool
=> 210 = 10 × (9 + d)
or 10 × (9 + d) = 210
Dividing both sides by 10:
10 × (9 + d) / 10 = 210 / 10
9 + d = 21
Subtracting 9 on both sides:
9 + d - 9 = 21 - 9
d = 12
Therefore the length of the deep end is 12 feet
Hence the length of the deep end is 12 feet of the swimming pool.
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The length of the deep end of the swimming pool is 12 feet.
We are given that:
The Area of the swimming pool = 210 square feet
width of the swimming pool = 10 feet
Length of shallow end = 9 feet
Let the length of the deep end be d.
Total length of the swimming pool = length of deep end + length of shallow end = d + 9
Area of swimming pool = width × length
Substituting the values, we get that:
210 = 10 × (9 + d)
9 + d = 21
d = 12
Therefore the length of the deep end of the swimming pool is 12 feet.
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The sides of a triangular field are in the ratio of 5:6: 7. If its perimeter is 3600 m. find the area of that land
Answer:
Area = 587877.54 \(m^{2}\)
Step-by-step explanation:
Let the length of sides of the triangle be represented by a, b and c respectively.
a = \(\frac{5}{18}\) x 3600
= 1000
b = \(\frac{6}{18}\) x 3600
= 1200
c = \(\frac{7}{18}\) x 3600
= 1400
The length of the sides of the triangle are: 1000 m , 1200 m, 1400 m.
Perimeter = a + b + c
= 1000 + 1200 + 1400
= 3600
The area of the land can be determined by;
Area of a triangle = \(\sqrt{(s*(s-a)* (s-b)* (s-c))}\)
where: s is the semi-perimeter of the triangle and a, b and c are the length of sides respectively.
s = \(\frac{perimeter}{2}\)
= \(\frac{3600}{2}\)
s = 1800
Area = \(\sqrt{(1800(1800 - 1000)*(1800 - 1200)*(1800 - 1400))}\)
= \(\sqrt{(1800*800*600*400)}\)
= \(\sqrt{345600000000}\)
= 587877.54
Area = 587877.54 \(m^{2}\)
The area of the triangle is 587877.54 \(m^{2}\).
Use the figure to the right to find the value of PT. PT=3x+1 and TQ=5x−7 Image shows that all sections are equal and T is the midpoint
Answer:
13
Step-by-step explanation:
If T is the midpoint PT =TQ
PT = TQ
3x+1 =5x−7
Subtract 3x from each side
3x+1 -3x=5x-3x−7
1 = 2x-7
Add 7 to each side
1+7 = 2x-7+7
8 = 2x
Divide by 2
8/2 = 2x/2
4 =x
We want to find PT
PT=3x+1
= 3*4+1
= 12+1
= 13
two numbers are consecutive positive multiples of 3. three times the larger of the numbers is 7/10 of 5 times the smaller number. what are the numbers
Answer:
22/85
Step-by-step explanation:
Answer:
18 and 21
Step-by-step explanation:
One ounce is approximately 28.3 grams. Write a direct variation equation that relates x ounces to y grams.
The direct variation equation that relates x ounces to y grams is y = 28.3x, where y represents the number of grams and x represents the number of ounces.
In a direct variation, two variables are directly proportional to each other. In this case, we are relating ounces to grams. The given information states that one ounce is approximately 28.3 grams.
To write a direct variation equation, we can assign y as the number of grams and x as the number of ounces. Since the two variables are directly proportional, we can express the relationship as y = kx, where k is the constant of variation.
From the given information, we know that one ounce is approximately 28.3 grams. Therefore, the constant of variation is 28.3. Substituting this value into the equation, we get y = 28.3x.
This equation indicates that as the number of ounces (x) increases or decreases, the number of grams (y) will vary directly by a factor of 28.3. For example, if we have 2 ounces, we can find the number of grams by multiplying 2 by 28.3, resulting in 56.6 grams.
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5 Tony has 14 hundreds,
six tens, and 5 ones.
Gene has 1 thousand,
4 hundreds, 16 tens.
and 5 ones. Mrs. Lane
says their totals are
equivalent. Is she
correct? Prove it.
The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
14 hundreds, six tens, and 5 ones = 14(100) + 6(10) + 5(1) = 1465
1 thousand, 4 hundreds, 16 tens. and 5 ones = 1(1000) + 4(100) + 16(10) + 5(1) = 1565
The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.
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Answer:
Step-by-step explanation:
Gene has more, also, by the way, aren't you in my school? Do you know Ezekiel?
Aisha plays her guitar 60 minutes each day. She uses 25% of her practice time to practice chords. How many minutes does Aisha practice chords each day?
Answer:
15 minutes
because 25% of 60 can be written as 25% × 60.
= 25/100 × 60
= 15
Multiply (polynomials)
I WILL GIVE BRAINLIEST, NEED IT TODAY
Answer:
1. 12x² - 7x - 10
2. 10x² + 31x - 14
3. 3x² - xy - 9x + 4y - 12
4. 16y^4 - 1
5. 24x² - 21x - 3
6. -2m² - 2m + 12
7. 15d² - 31d - 12
8. 12x³ + 5x² - 2x
9. 6t² - 20t - 26
10. 48a² - 12b²
Step-by-step explanation:
1.
\((3x)(4x)+(3x)(-5)+(2)(4x)+(2)(-5)\) \(12x^2-15x+8x-10\) \(12x^2-7x-10\)2.
\((5x)(2x)+(-2)(2x)+(5x)(7)+(-2)(7)\) \(10x^2-4x+35x-14\) \(10x^2+31x-14\)3.
\((x)(3x) + (x)(-y) + (x)(3) + (-4)(3x) + (-4)(-y) + (-4)(3)\) \(3x^2-xy+3x-12x+4y-12\) \(3x^2-xy-9x+4y-12\)4.
\(((2y-1)(2y+1))(4y^2)+((2y-1)(2y+1))(1)\) \(16y^4-4y^2 + 4y^2 -1\) \(16y^4 - 1\)5.
\((3x)(8x)+(3x)(1)+(-3)(8x)+(-3)(1)\) \(24x^2+3x-24x-3\) \(24x^3-21x-3\)6.
\((-m)(2m)+(-m)(-4)+(-3)(2m)+(-3)(-4)\) \(-2m^2+4m-6m+12\)\(-2m^2-2m+12\)7.
\((5d)(3d)+(5d)(1)+(-12)(3d)+(-12)(1)\) \(15d^2 + 5d - 36d -12\) \(15d^2-31d -12\)8.
\((3x^2)(4x)+(3x^2)(-1)+(2x)(4x)+(2x)(-1)\) \(12x^3-3x^2+8x^2-2x\) \(12x^3+5x^2-2x\)9.
\((3t)(2t)+(3t)(2)+(-13)(2t)+(-13)(2)\) \(6t^2 + 6t - 26t -26\) \(6t^2-20t-26\)10.
\((4a)(12a)+(4a)(6b)+(-2b)(12a)+(-2b)(6b)\) \(48a^2+24ab-24ab-12b^2\)\(48a^2-12b^2\)Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)
LarCalc11 9.4.023. Use the Limit Comparison Test to determine the convergence or divergence of the series. S- n v n8 + 9 n = 1 n v n8 + 9 = L >O him 1 lim n >0 =230 O converges O diverges Need Help? Read It Watch It Talk to a Tutor Viewing Saved Work Revert to Last Response Submit Answer Practice Another Version
The series in question is given by S_n = √(n^8 + 9n). The ratio of the terms approaches a finite positive value. We want to determine whether this series converges or diverges using the Limit Comparison Test.
1. To apply the Limit Comparison Test, we choose a known convergent series with positive terms, let's call it b_n. In this case, we can choose b_n = √(n^8).
2. Now, we need to find the limit of the ratio of the terms of the two series as n approaches infinity. We calculate the limit:
lim n→∞ (√(n^8 + 9n) / √(n^8))
Simplifying the expression inside the limit, we have:
lim n→∞ (√(n^8 * (1 + 9/n)) / n^4)
3. Using properties of limits, we can rewrite the expression as:
lim n→∞ (√(n^8) * √(1 + 9/n) / n^4)
Simplifying further, we have: lim n→∞ (n^4 * √(1 + 9/n) / n^4)
4. The n^4 terms cancel out, leaving us with: lim n→∞ √(1 + 9/n)
As n approaches infinity, the term 9/n approaches zero, and we are left with: lim n→∞ √1 = 1
5. Since the limit is finite and positive (L = 1), and the series b_n = √(n^8) converges, we conclude that the original series S_n = √(n^8 + 9n) also converges.
6. In summary, using the Limit Comparison Test, we determined that the series S_n = √(n^8 + 9n) converges. The explanation above shows the step-by-step calculation of the limit, demonstrating that the ratio of the terms approaches a finite positive value.
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Find the area of this semi-circle with diameter, d = 49cm.
Give your answer rounded to 2 DP.
Is [1 -2 1] an eigenvector of [3 3 5 6 3 6 7 7 5]? If so, find the corresponding eigenvalue.
No, [1 -2 1] is not an eigenvector of [3 3 5; 6 3 6; 7 7 5].
To determine if [1 -2 1] is an eigenvector of [3 3 5; 6 3 6; 7 7 5], we need to check if the given matrix multiplied by the vector is equal to a scalar multiple of the vector.
Let's perform the calculation:
[3 3 5; 6 3 6; 7 7 5] * [1; -2; 1] = [3 + (-6) + 5; 6 + (-6) + 6; 7 + (-14) + 5] = [2; 6; -2].
Since the result is not equal to a scalar multiple of [1 -2 1], we can conclude that [1 -2 1] is not an eigenvector of [3 3 5; 6 3 6; 7 7 5].
There is no corresponding eigenvalue for [1 -2 1] in this case.
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Evaluate the expression 1/2x - 2/3y when x = 4 and y = -3
Answer:
-1
Step-by-step explanation:
Equation: 1/2x-2/3y
Swap out the x and y with the numbers.
1/2 x 4/1 -2/3 x -3
Solve.
2-3
-1
Answer:
You just substitute the values of x=4 and y=-3 into the given equation and then answer.
Step-by-step explanation:
\( \frac{1}{2} \times (4) - \frac{2}{3} \times ( - 3)\)
\( \frac{1}{2} \times \frac{4}{1} - \frac{2}{3} \times - \frac{3}{1} \)
\(2 - ( - 2)\)
\(4\)
so your answer is 4.
a disadvantage of stratified sampling is that it question 9 options: a) none of these choices indicates a disadvantage of stratified sampling. b) requires you to have some prior knowledge about the elements in the population before drawing the sample. c) usually requires samples that are larger in size than those required by simple random sampling. d) denies you the use of probability theory.
A disadvantage of stratified sampling is requires you to have some prior knowledge about the elements in the population before drawing the sample is a disadvantage of stratified sampling. The correct option is B.
Stratified sampling is a method of sampling in which the population is divided into homogeneous subgroups, called strata, based on some characteristics. This method is used to ensure that the sample is representative of the population and can reduce sampling error.
However, one disadvantage of stratified sampling is that it requires prior knowledge about the population, which may not always be available or accurate. Additionally, stratified sampling can be more complex and time-consuming than other sampling methods, such as simple random sampling.
So, the correct answer is B.
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(b) Suppose A,B⊆R are two nonempty, bounded subsets which satisfy A⊆B. Prove that inf (A)≥ inf(B). (c) Suppose A,B⊆R are two nonempty, bounded subsets, and assume that sup(A)
Given that A and B are nonempty, bounded subsets with A ⊆ B, we can conclude that the infimum of A, denoted as inf(A), will be greater than or equal to the infimum of B, denoted as inf(B).
The infimum of a set is the greatest lower bound, which means it is the smallest element that is greater than or equal to all the elements in the set. Since A is a subset of B, every element in A will also be an element of B. Therefore, any lower bound of B will also be a lower bound of A. This implies that the infimum of B, being the greatest lower bound of B, will also be a lower bound of A. Hence, inf(B) is less than or equal to inf(A).
Therefore, we can conclude that inf(A) ≥ inf(B).
If we assume that sup(A) < inf(B), then there exists an element x in the set A such that x > sup(A) and x < inf(B). Since sup(A) is an upper bound of A, it means that all elements in A are less than or equal to sup(A). However, x violates this condition as it is greater than sup(A), which contradicts the assumption.
Therefore, the assumption that sup(A) < inf(B) is false, and we can conclude that sup(A) ≥ inf(B).
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3y +7 =20
I will give brainliest
Answer:
4.3
Step-by-step explanation:
Answer:
y = 13/13
helpful??
Omg please I really need help ASAP please! (Giving brainliest)!
Answer:
x = 4
Step-by-step explanation:
-5w + 7 - w + 4 = -13
-5w - w + 7 + 4 = -13
-6x + 11 = -13
-6x = -13 - 11
-6x = -24
-6x/-6 = -24/-6
x = 4
hope this helps!
Answer:
Step-by-step explanation:
-6w=-24
w=4
A square shed has sides that are 8 feet long. What is the
sheo's perimeter?
Answer:
ok so if it's a square means all sides are equal so yo get perimeter you add all sides so 8 plus 8 plus 8 plus 8 equals 32 so 32
Side of square shed = 8
\(Perimeter \: of \: square\: = 4 \times a \\ = 4 \times 8 \: feet \\ = 32 \: feet\)- BRAINLIEST answerer
is the answer 40? I am kind of confused
Answer:
Yes
Step-by-step explanation:
29-18=11
c=11
18+2(11)=40
Answer:
30
Step-by-step explanation:
If A+B is 18, A and B should equal 9.
A+B+C=29, that should mean C=6.
A+B+2C=9+9+2(6)
9+9+2(6)=30
If f(x) =- 2x + 5, find f(4x)
Answer:
\(f(4x)=-8x+5\)
Step-by-step explanation:
We are given the function:
\(f(x)=-2x+5\)
And we want to find:
\(f(4x)\)
So, by substitution, we acquire:
\(f(4x)=-2(4x)+5\)
Multiply. So, our answer is:
\(f(4x)=-8x+5\)
When we subtract a velocity vector from another velocity vector, the result is:
A. an acceleration.
B. another velocity.
C. a scalar.
D. a displacement.
When we subtract a velocity vector from another velocity vector, the result is B. another velocity.
When we subtract a velocity vector from another velocity vector, we are essentially finding the difference between the two velocities. This difference is also a velocity vector, but in a different direction and with a different magnitude. Therefore, the answer is another velocity, option B.
It is important to note that acceleration is a change in velocity, not the result of subtracting one velocity from another. Scalar refers to a quantity with only magnitude, whereas velocity is a vector quantity with both magnitude and direction. Displacement refers to the change in position of an object and is not directly related to subtracting velocity vectors.
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Solve for X X=6 X=15 X=30 X=90
Answer:
x=30
Step-by-step explanation:
4x+2x=180
6x=180
x=30
The value of x will be 30 for the given supplementary angles.
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees. For example, angle 110° and angle 70° are supplementary angles because the sum of 110° and 70° is equal to 180°.
Given ∠EAF and ∠BAF are supplementary angles
Since sum of two supplementary angles = 180
Thus,
∠EAF + ∠BAF = 180
2x + 4x = 180
6x = 180
x = 30
therefore, the value of x will be 30 for the given supplementary angles.
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Pablo generates the function f (x) = three-halves (five-halves) superscript x minus 1 to determine the xth number in a sequence.
The equation represent to determine the \(x^n\) number in a sequence is this function f( x+1) = 5/2 f(x). This is the equation used to determine the xth number in a sequence.
Here, these values are given,
f(x) = 3/2 [5/2] x-1 [ After putting the values of f(x)}
So,here from this ,the equation will become ,
f(x+1) = 3/2 [ 5/2] x+1-1
f(x+1) = 3/2 [5/2] x
Here, 5/2 f(x)= 5/2×3/2 [5/2] x-1
5/2 f(x) = 3/2 [5/2] x-1+1
5/2 f(x) = 3/2 [5/2] x
So, f(x+1) =[ 5/2]f (x)
So, this will be the equation for this function .
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\(f(x) = (3/2)^(5/2)^(x - 1)\) this function can be used to calculate the xth number in the sequence for any given value of x.
f(x) is the function that will generate the xth number in the sequence.
The function is written as:
\(f(x) = (3/2)^(5/2)^(x - 1)\)
This can be read as:
Take 3/2 (three halves) to the power of 5/2 (five halves) to the power of x minus 1.
This will generate the xth number in the sequence.
The function f(x) is used to determine the xth number in a sequence. It is written as: f(x) = \((3/2)^(5/2)^(x - 1)\). This means that we take the number 3/2 (three halves) and raise it to the power of 5/2 (five halves) and then to the power of x minus 1. This will generate the xth number in the sequence, where x is the position in the sequence. For instance, if x is 5, then the fifth number in the sequence will be generated using the function f(x). Therefore, this function can be used to calculate the xth number in the sequence for any given value of x.
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plzzzzzzzzzzzz help will get brainlist
When a construction worker is on a platform 10 feet above the ground, we can describe her elevation as +10 feet.
A construction worker digs down to 30 feet below the platform. What is her elevation?
It is 30 feet BELOW the platform, so the number is -20 because the platform is 10 feet above ground level.
Her elevation is - 20 because she is 10 feet above ground level, which is 10, and she digs 30 feet down so 10 - 30 is -20.
Hope this helps. :)
Answer:
-20 feet
Step-by-step explanation:
Ok, if the construction worker is first at 10 feet above the ground. If the construction worker goes 30 feet below the platform, the equation can be this: 10 - 30 = e or elevation. Remember that it states that the construction worker digs 30 feet below the platform, and not below the ground. Because 10 - 30 is -20, we know that the construction worker's elevation is -20.
I hope this helps :)
What is 5 1/2 - 3 1/4=? Ty if you answer.
Answer:
2.25
Step-by-step explanation:
your welcome. oh and make it a improper fraction then subtract:)
Answer:
2 1/4
Step-by-step explanation:
or 3.25 in decimal form
Lin read for X minutes and Elena read for 5/8 more than that. Write an expression for the number of minutes elna read.only use decimals in your expression
Elena read X + 0.625 minutes.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
Lin read for X minutes and Elena read for 5/8 more than that.
That means,
the number of minutes Elena read,
= number of minutes Lin read + 5/8
= X + 5/8
= X + 0.625
Therefore, X + 0.625 is the required expression.
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is the following a function? why or why not
Answer:
No
Step-by-step explanation:
Functions can only have 1 range per domain (Only 1 Y output per X). Another method is by using the vertical line test, and in this case it fails because more than 2 points are on the same vertical line (x = 1 and x = 2)