Answer:
(-3,2)
Step-by-step explanation:
PLEASE NEED ASAP!! Which graph shows the solution to the system of linear equations?
y = 4x − 1
16x − 4y = 16
Answer:
the third graph and for your second one you showed it has inf solutions
Step-by-step explanation:
i hope this helped you and i hope they are right
HELPPP!!!!! Spencer has 16 blue marbles and 8 white ones. If he wants to place them in identical groups without any marbles left over, what is the greatest number of groups Spencer can make?
please give an explanation so i can stop asking for help
Answer: 8
Step-by-step explanation:
One way to find the GCF (Greatest Common Factor) is to list the factors of each number and find the largest factor that they have in common.The factors of 16 are: 1, 2, 4, 8, 16
The factors of 8 are: 1, 2, 4, 8
The largest factor that 16 and 8 have in common is 8.
This means that the marbles can be divided into 8 identical groups, each containing 2 blue marbles and 1 white marble.
Therefore, the greatest number of groups Spencer can make is 8.
What is the simplified form of 3√7 - 5√7? A. -2√7 B. 2√7 C. -√14 D. 15√7
The shirts available in a clothing store are sizes S, M, and L. A total of 240 shirts are sold in a day. 20% of the shirts are of size S and 45% are size M. Find the number of shirts sold for each of the sizes.
Answer: L 38
Step-by-step explanation:
total 84
Answer: 48 small shirts
108 medium shirts
84 Large shirts
Step-by-step explanation:
20% of 240 = 48
45% pf 240 = 108
45 + 20 = 65, 100 - 65 = 35
35% of 240 = 84
And 48 + 108 + 84 = 240
(01.02 MC)
Which of the following correctly uses the absolute value to show the distance between −70 and 15? (5 points)
Select one:
a. |−70 − 15| = |−85| = −85 units
b. |−70 + 15| = |−55| = 55 units
c. |−70 − 15| = |−85| = 85 units
d. |−70 + 15| = |−55| = −55 units
PLEASE I HELP I WILL GIVE 15 POINTS!!!!!!!!!!!!!!!
Answer:
I think b and c is correct
Find all possible values of a such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1.
Answer:
\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0\)
Step-by-step explanation:
Given quadratic equation:
\(ax^2 + (2a + 2)x + a + 3 = 0\)
To find the possible values of "a" such that the given equation has two roots and the distance between them on the number line is greater than 1, use the quadratic formula.
\(\boxed{\begin{minipage}{4 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)
Comparing the coefficients:
\(a = a\)\(b = (2a + 2)\)\(c = (a + 3)\)Substitute the coefficients into the quadratic formula:
\(x=\dfrac{-(2a+2) \pm \sqrt{(2a+2)^2-4a(a + 3)}}{2a}\)
Simplify the discriminant (the part under the square root sign):
\(x=\dfrac{-(2a+2) \pm \sqrt{-4a+4}}{2a}\)
Factor out 4 from the discriminant:
\(x=\dfrac{-(2a+2) \pm \sqrt{4(-a+1)}}{2a}\)
\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(x=\dfrac{-(2a+2) \pm \sqrt{4}\sqrt{-a+1}}{2a}\)
Therefore:
\(x=\dfrac{-(2a+2) \pm 2\sqrt{-a+1}}{2a}\)
Factor out the common term 2:
\(x=\dfrac{-(a+1)\pm \sqrt{-a+1}}{a}\)
Therefore, the two solutions are:
\(x=\dfrac{-a-1+\sqrt{-a+1}}{a},\;\;x=-\dfrac{a+1+\sqrt{-a+1}}{a}\)
As both solutions have "a" as their denominator, a ≠ 0.
Note: When substituting a = 0 into the original equation, we are left with a linear equation, which only has one root. Therefore, this confirms that a ≠ 0.
Now we have found expressions for the two roots, we can set the distance between them to greater than 1:
\(\dfrac{-a-1+\sqrt{-a+1}}{a}-\left(-\dfrac{a+1+\sqrt{-a+1}}{a}\right) > \:1\)
\(\dfrac{-a-1+\sqrt{-a+1}}{a}+\dfrac{a+1+\sqrt{-a+1}}{a} > \:1\)
Simplify:
\(\begin{aligned}\dfrac{-a-1+\sqrt{-a+1}+a+1+\sqrt{-a+1}}{a}& > 1\\\\\dfrac{2\sqrt{-a+1}}{a}& > 1\\\\2\sqrt{-a+1}& > a\\\\(2\sqrt{-a+1})^2& > a^2\\\\4(-a+1)& > a^2\\\\-4a+4& > a^2\\\\a^2+4a-4& < 0\\\\(a+2)^2-8& < 0\\\\(a+2)^2& < 8\end{aligned}\)
\(\textsf{For\;\;$u^n < a$,\;\;if\;$n$\;is\;even\;then\;\;$-\sqrt[n]{a} < u < \sqrt[n]{a}|$:}\)
\(-\sqrt{8} < a+2 < \sqrt{8}\)
Therefore:
\(-\sqrt{8} -2 < a < \sqrt{8}-2\)
\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2\)
So the possible values of "a" such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1 are:
\(\large{\boxed{-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0}\)
Please help me out with this problem
Answer:
The value of y is \(-1.33...\)
Step-by-step explanation:
WKT, the given equation is \(\frac{-1}{2} =\frac{3}{8} y\)
Here, y is a variable.
Now, to solve the equation,
we need to multiply \(\frac{8}{3}\) on both sides of the given equation, in order to get the values of y.
That is, \(\frac{-1}{2}\) × \(\frac{8}{3} =\frac{8}{3}\) × \(\frac{3}{8} y\)
⇒\(-\frac{1}{2}\) × \(\frac{8}{3}= y\)
⇒\(-\frac{8}{6}=y\)
⇒\(y=-\frac{4}{3}\)
or \(y=-1.333\)
Therefore, the value of y is \(-1.33...\).
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Help please I’ll give brainliest
Answer:
"ALL of the beverages at The Zest Nest ARE LIKELY to contain 46 grams of sugar or less, but NONE of the beverages at Jim's Juice Join ARE LIKELY to contain LESS THAN 46 grams of sugar."
Answer:
A
Step-by-step explanation:
The figure shows three quadrilaterals on a coordinate grid
Which of the following statements is true about the three quadrilaterals?
Answer:
the statements Q and S are true.
Please help! Thank you!
Answer:
525
Step-by-step explanation:
If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525
please help asap so I can finish my work
the answer is 7.4
To find the mean, you add all of the numbers together and divide by the amount of numbers added.
1. 2. 3. 4.
ex: 3+6+7+10=26. there are four numbers before the equal sign.
So the mean is 26÷4 or 6.5
since there are 5 total numbers, and all of the numbers added equal 37, then divide by 5, which will equal 7.4
HELP ASAP PLEASEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Determine which equation is false based on the solution set.
S:{4}
one fourth times x plus 17 equals 18
5 = 4y − 11
−26 = 2(3p − 5)
3(b + 4) = 24
BTW this is FLVS
HELPPPPPPP
Answer:
Person above is correct
Step-by-step explanation:
-26 =2(3p-5
The solution is Option C.
The equation -26 = 2( 3p - 5 ) does not satisfy when p = 4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the solution set be S = { 4 }
a)
Let the equation be A
The value of A is
A = one fourth times x plus 17 equals 18
Substituting the values in the equation , we get
( 1/4 )x + 17 = 18
Now , when x = 4
( 1/4 )4 + 17 = 18
1 + 17 = 18
18 = 18
Therefore , the equation is true
b)
Let the equation be A
The value of A is
5 = 4y - 11
when y = 4
Substituting the values in the equation , we get
5 = 4 ( 4 ) - 11
5 = 16 - 11
5 = 5
Therefore , the equation is true
c)
Let the equation be A
The value of A is
-26 = 2( 3p - 5 )
when p = 4
Substituting the values in the equation , we get
-26 = 2 ( 3 (4) - 5 )
-26 = 2 ( 12 - 5 )
-26 = 2 ( 7 )
-26 ≠ 14
Therefore , the equation is false
d)
Let the equation be A
The value of A is
3 ( b + 4 ) = 24
when b = 4
Substituting the values in the equation , we get
3 ( 4 + 4 ) = 24
3 ( 8 ) = 24
24 = 24
Therefore , the equation is true
Hence , the equation -26 = 2( 3p - 5 ) is false
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The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
Elisa and Benjamin survey a random sample of 50 students at their school about which superpower they would most like to have. The table shows their data. a. Elisa claims that about 20% of the students at the school would choose mind reading as their superpower. Is this claim supported by the sample data? c. Benjamin claims that no students at the school would choose healing as a superpower. Is Benjamin's claim definitely correct? Why or why not?
Since 6 out of 50 students (or 12%) chose mind reading. This is lower than Elisa's claim of 20%, so her claim is not supported by the sample data.
How to known if the claim supported by the sample data?a. To determine whether Elisa's claim is supported by the sample data, we need to calculate the proportion of students in the sample who chose mind reading as their superpower. From the table, we can see that 6 out of 50 students (or 12%) chose mind reading. This is lower than Elisa's claim of 20%, so her claim is not supported by the sample data.
c. Benjamin's claim that no students at the school would choose healing as a superpower is not definitely correct. From the table, we can see that 4 out of 50 students (or 8%) chose healing as their superpower. While this is a relatively small proportion, it is not zero, so Benjamin's claim is not definitely correct.
However, we should be cautious in drawing conclusions about the larger population of all students at the school based on a small sample of only 50 students.
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There are four trees in the corners of a square backyard with 30-ft sides. What is the distance between tree A and tree P to the nearest tenth?
A.30.0 ft
B.42.4 ft
C.42.3 ft
D.30.3 ft
Answer:
Step-by-step explanation:
Find the lengths and slopes of the diagonals to name the parallelogram. Choose the most specific name. E (-2, -4), F(0, -1), G(-3. 1) H(-5, -2) Note: Be prepared to explain your answer to this type of question on the test using length and slope. a) Rectangle b) Triangle c) Rhombus d) Square ---------------------------------------------------------------------------------------------------------------------------- What would prove the parallelogram PWRS is a rhombus? P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2) a)Length of QR is 2.2 and slope of QR is -2 b) Slope of QR and PS is -2 and Slope of RS and QP is -1/2 c) Length of QS and PR is 4.2 d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2
Detailed explanation:
The diagonals of the parallelogram must be measured in order to ascertain its name. Let's figure out these numbers:
The slope of the EF is equal to (y2 - y1) / (x2 - x1) = (-1 - (-4)) / (0 - (-2)) = 3 / 2.
Diagonal GH: [(x2 - x1)2 + (y2 - y1)2] is the length of the GH.
= √[(-5 - (-3))² + (-2 - 1)²]
= √[(-2)² + (-3)²]
= √[4 + 9] = √13
Slope of GH is equal to (y2 - y1)/(x2 - x1) = (-2 - 1)/(-5 - (-3)) = -3 / -2 = 3 / 2
Let's examine the outcomes now:
The parallelogram is a rhombus if the lengths of both diagonals are equal (EF = GH) and the slopes of both diagonals are equal (slope of EF = slope of GH).
In our case, EF = GH = √13, and the slopes of EF and GH are both 3/2. Therefore, the parallelogram is a rhombus.
Therefore, the correct answer is c) Rhombus.
For the first question, the most specific name for the parallelogram defined by the coordinates E, F, G, and H is d) Square because the lengths of the sides and the diagonals are equal.
For the second question, the statement that would prove the parallelogram PWRS is a rhombus is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2, as it shows that all sides of the parallelogram are congruent.
To determine the most specific name for the parallelogram defined by the given coordinates, we need to analyze the properties of the shape based on the lengths and slopes of its diagonals.
Let's analyze each option:
a) Rectangle: In a rectangle, opposite sides are parallel and equal in length.
Diagonals are also congruent.
To determine if the parallelogram is a rectangle, we need to find the lengths of the diagonals.
Using the distance formula, we find that the length of EF is approximately 4.47 units, while the length of GH is approximately 4.24 units.
Since the diagonals are not congruent, the parallelogram is not a rectangle.
b) Triangle: A triangle is a three-sided polygon, which is not applicable to the given parallelogram.
c) Rhombus: In a rhombus, all sides are congruent.
The diagonals of a rhombus are perpendicular bisectors of each other. To determine if the parallelogram is a rhombus, we need to compare the slopes of the diagonals.
The slope of EF is -3/2, while the slope of GH is -3/2.
Since the slopes are equal, and the lengths of the sides are not given, we cannot determine if the parallelogram is a rhombus solely based on the given information.
d) Square: A square is a special type of rectangle and rhombus, where all sides are congruent and all angles are right angles.
Since we cannot determine if the parallelogram is a rhombus, we cannot conclude that it is a square.
In conclusion, based on the given information, we cannot determine the most specific name for the parallelogram defined by the coordinates.
For the second question, to prove that the parallelogram PWRS is a rhombus, we would need to show that the lengths of the sides are congruent and that the diagonals are perpendicular bisectors of each other.
However, based on the given options, we do not have the required information to prove that PWRS is a rhombus.
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Help me with this now before 1:05PM
I need help again lol
Answer:
i think i answered this already
Step-by-step explanation:
lol
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
2, 3, 5, 9, 17, 22, 31, 39
Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17
Answer:
Mean = 16
Step-by-step explanation:
MEAN can be find bg the sum of all score divided by the amount of the score.
Mean = total amount / number of amount
Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39
= 128
number of amount = 2, 3, 5, 9, 17, 22, 31, 39
= 8
Then we can calculate mean as
Mean = 128/8
Mean = 16
What expression represents the verbal phrase?
The sum of 6.2 times a number t, 2.6 times a number t, and 4.2 times a number t
____ t
The mathematical expression can be written as 6t, 2.6t, and 4.2t.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the sum of 6.2 times the number t, 2.6 times the number t, and 4.2 times the number t.
The expression will be written as:-
6t, 2.6t, and 4.2t.
Hence, It is possible to write a mathematical expression as 6t, 2.6t, and 4.2t.
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Answer:
Step-by-step explanation:
I don't know your answer someone pls answer
A triangular prism is shown below.
What is the surface area of the triangular prism?
A 580 square ft
B 640 square ft
C 840 square ft
D 960 square ft
Help Please
find the solution to this system of equations
Answer:
-8x + 4y = 24 ----> 2x - y = -6
-7x + 7y = 28 ----> -x + y = 4
-------------
x = -2, y = 2
A map is designed with a scale of 2 inch for every 10 miles. If the distance between two towns is 5 inches on the map, how far apart are they?
Answer: 25 miles
Step-by-step explanation:
Answer:
The answer is 25.
Step-by-step explanation:
Since the scale shows 10 miles for every 2 inches, you can easily figure out that it is 5 miles per inch.
Now, it says two towns are 5 inches apart. With the previous information, you can either multiply 5 inches by 5 miles per inch or think deeper.
Thinking deeper: If there is 4 inches, that is 20 miles. Adding another inch doesn’t add another ten. It adds half of ten and half of ten in 5. 20+5=25
a rabbit travels 3/4 miles in 7/8 of an hour. whats the rabbits unit rate?
Answer:
= 0.857143 miles per hour
Step-by-step explanation:
This the fractions 3/4 miles and 7/8 hours are equal to
0.75 miles and 0.875 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 0.875
0.75 miles ÷ 0.875
0.875 hours ÷ 0.875
=
0.857143 miles
1 hour
so the answer would be...
= 0.857143 miles per hour
Sheila buys some boxes of pens, with 20 pens in each box.
Which expression represents the total number of pens Sheila bought?
20 + p
20 ÷ p
20p
20−p
Answer:
C) 20p
Step-by-step explanation:
p represents the number of boxes Sheila bought.
there's 20 pens in each box.
ex: if Sheila bought 5 boxes of pens, that would equal to 100 pens.
20(5) = 100
what is the slope of (-1,-1) and (1,5)?? Please help me!!!
Answer:
Slope is 3.
Step-by-step explanation:
Slope is change in y to change in x:
\(\displaystyle{\text{slope} = \dfrac{\Delta y}{\Delta x}}\\\\\displaystyle{\text{slope} = \dfrac{y_2-y_1}{x_2-x_1}}\)
In mathematics, slope is generally declared as "m" variable.
Also, we are given two coordinate points. Let \(x_1\) be -1, \(x_2\) be 1, \(y_1\) be -1 and \(y_2\) be 5.
Therefore:
\(\displaystyle{m = \dfrac{5-\left(-1\right)}{1-\left(-1\right)}}\\\\\displaystyle{m=\dfrac{5+1}{1+1}}\\\\\displaystyle{m=\dfrac{6}{2}}\\\\\displaystyle{m=3}\)
Therefore, the slope is 3.
What is the unit rate for 822.6 km in 18 h?
Enter your answer, as a decimal, in the box.
[]
The correct answer is 45.7
Can someone Help me with this? I want to know HOW to do it so plz include explanation.
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
It is 3 throughout the line.
It is fraction 1 over 3 throughout the line.
The slope from point O to point A is fraction 1 over 3 time the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
Answer:
Step-by-step explanation:
Slope of the line \(\frac{1}{3}\) through out the line.
can someone help?///???