Use factoring to solve the polynomial equationCheck by substitution or by using a graphing utility and identifying x-intercepts

The angle measure of the angle in the diagram is 62°.

From the question, we are to determine the angle measure of the angle shown in the diagram.

The angle shown is an acute angle.

An acute angle is an angle whose measure is less than 90°.

To determine the measure of the angle, we will read the angle from the side which the angle is closer to zero (0). We will read from 0 to the line that indicates the angle.

Reading the angle:

Reading the angle as explained above, the measure of the angle is 62°

Hence, the angle measure is 62°.

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Answer:

b

Step-by-step explanation:

.78 is terminating, which means it stops

Answer:

147

Step-by-step explanation:

if you divide 105 by 5, you get 21. Multiply 7 by 21 to get your answer.

Answer:

x=48/8=6

Step-by-step explanation:

simple form

8x-48=0

fractionized

8(x-6)=0

Hello!

the answer is 83/100!

Hopefully this helps ^^

Answer:

Step-by-step explanation:

Answer:x=-4

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

What was the numerical difference?

88722 - 65720 = 23002

Which number is the denominator for the % increase?

It must be 65720.

23002/ 65720  * 100 = 35%

So if we take 35% of 65720 and add it on  to 65720 what do we get.

35/100 * 65720 + 65720 = 88722 just as we should.

The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Answer:

8.75×4=$35.00

Step-by-step explanation:

sally=1 person so...

1+3=4

$35.00÷4=8.75

8.75×4=$35.00

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

The answer to this problem is B, C, and E.

Step-by-step explanation:

The true equations are B. 2x+4y=20 and C. x+6y=10

The point is given as (10,0)

This means that:

x = 10 and y = 0

Next, we test the options by substituting the above values.

So, we have:

A. 5x+2y = 15

5(10) + 2(0) = 15

50 = 15 ---- false

B. 2x+4y = 20

2(10) + 4(0) = 20

20 = 20 ---- true

C. x+6y=10

10 + 6(0) = 10

10 = 10 ---- true

D. 3x+3y=13

3(10) + 3(0) = 13

30 = 13 ---- false

E. 4x+2y=20

4(10) + 2(0) = 20

40 = 20 ---- false

F. 6x+y=50

6(10) + 0 = 50

60 = 50 ---- false

Hence, the true equations are B. 2x+4y=20 and C. x+6y=10

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Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Answer:

mean = 24

Step-by-step explanation:

the mean is calculated as

mean = \(\frac{sum}{count}\)

the sum of the data set is

sum = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

there is a count of 7 in the data set , then

mean = \(\frac{168}{7}\) = 24

Answer:6(3) - 2

18 - 2 = 16

Step-by-step explanation:

6(3) - 2

18 - 2 = 16

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

f(x) = 3x² + 2x

g(x) = 5x

Step 02:

functions:

f(x) * g(x) = (3x² + 2x) * (5x) = 15x³ + 10x²

The answer is:

15x³ + 10x²

Answer:

6.71

Step-by-step explanation:

If you want to put picture i would recommend using your phone to do it. :]

Answer: its 6.71

Step-by-step explanation:

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image

Answer:

it would be decreased by 15% lol

Step-by-step explanation:

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Based on the price he purchased the stock and the amount he sold them for, Jeff's annualized HPR on the investment is 2,395%.

First find the net profit:

= (1,000 x 9.26) - (1,000 x 1.89) - 10

= $7,360

The HPR is:

= 7,360 / (1,000 x 1.89)

= 389.4%

The annualized HPR is:

= (1 + 389.4%)² - 1

= 2,395%

Note: Taken to the power of 2 because there are two six-month periods in a year.

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Answer:

c

Step-by-step explanation:

1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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Answer: 20

Step-by-step explanation: see screenshot

Answer : It Is 20

Explanation : 5/1 * 4/1  = 20/1    And 20/1 Simplified = 20

◊ YusuCr ◊

Answer:

46-47 days

Step-by-step explanation:

Find how many calories per minute:

28/2=14

Find how many calories per day:

14*25= 350 calories per day

Find the total calories he needs to burn to lose 5 pounds:

3250*5= 16250

Divide how many calories he needs to burn by how many calories he burns a day:

16250/350= 46.4

46-47 days to lose 5 pounds of fat.

But honestly I don't know why he wants to lose 5 pounds he's already supper light XD

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500