The graph of a quadratic equation passes through
(4,0) and (7,0). Which quadratic
function has these intercepts?
y = x2 – 3x + 28
y = x2 - 11x – 28
y = x2 + 3x + 28
y = x2 – 11x + 28

Answer:

$14

Step-by-step explanation:

Let Joe have $x

Then Nate would have $(x-5)

They both have $(x + (x-5)  which is equal to $43

                           $(x + x -5) = $43

                           $2x - $5 = $43

                            $2x = $(43 - 5)

                           $2x = $38

Divide both sides by $2

                               x = 19 (Joe has $19)

:. Nate has $(19 - 5) = $14.

Nate have 24 dollars.

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Suppose that Jo has x dollars of amount, and

Nate has y dollars of the amount

Given that Jo had $5 more than Nate and together they had $43

x + 5 = y  ,

x + y = 43,

Substitute the value of y in the equation x + y = 43,

x + 5 + x = 43

2x = 43 - 5

2x = 38

Divide both sides by 2

x = 19

Now substitute the value of y = 19 in the equation x = y +5,

So, y = 19 + 5

y = 24

Hence, Nate have 24 dollars.

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Answer:

8x + 17

Step-by-step explanation:

4(2x- 1) + 3(2 + 5)

=4*2x - 4*1 + 3*7

=8x - 4 +21

=8x + 17

Answer:

{-3,-1,0,2}

Step-by-step explanation:

The range is the output values

The y values are

-3,-1,0,2

Answer:

29

Step-by-step explanation:

The right triangle is isosceles triangle so we have the left angle of it is:

180-64=116

116÷2=58

Then start to calculate the left triangle angles:

180-58 = 122

180-122 = 58

58÷2 = 29

Answer:

x = sqrt(95)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

7^2 + x^2 = 12^2

49 + x^2 =144

Subtract 49 from each side

x^2 = 144-49

x^2 = 95

Take the square root of each side

sqrt(x^2) = sqrt(95)

x = sqrt(95)

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

7^2 + x^2 = 12^2

49 + x^2 =144

Subtract 49 from each side

x^2 = 144-49

x^2 = 95

Take the square root of each side

sqrt(x^2) = sqrt(95)

x = sqrt(95)

[tex] \tt{ \verified} \: \: \: \red{ \checkmark}[/tex]

Answer:

Radius : 3 inches

Height : 2 inches

Step-by-step explanation:

[tex]π \times (radius {)}^{2} \times (height)[/tex]

[tex]π \times {3}^{2} \times 2[/tex]

[tex]π \times 9 \times 2[/tex]

[tex]9 \times π \times 2[/tex]

[tex]18\pi[/tex]

Answer:

D. Brenden Has more money in his account than Cooper does

Answer:

[tex]A=69.11\ m^2[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1m

Height of the cylinder, h = 10 m

We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :

[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]

Put all the values,

[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]

So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].

Answer:

n = 19/18

Step-by-step explanation:

Given:

11/6 = n + 7/9

Find n

11/6 = n + 7/9

Subtract 7/9 from both sides of the equation

11/6 - 7/9 = n + 7/9 - 7/9

11/6 - 7/9 = n

(99-42) / 54 = n

n = 57/54

n = 19/18

Answer:

19/18

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discriminant tells you where the graph of the parabola goes through the x-axis, if at all. If the discriminant is negative there are no real zeros and the parabola does not cross or touch the x-axis; if the discriminant is positive the parabola will go through the x axis in 2 places; if the discriminant is 0 the parabola will touch the x-axis in 1 place. Our discriminant is 0 since the parabola only touches the x-axis but does not go through.

Answer:

Options B, D and E

Step-by-step explanation:

From the picture attached,

AB and CE are the parallel lines and three lines AD, AC and BE are intersecting these parallel lines.

m∠A = m∠C = 90°

Therefore, AC is perpendicular to the lines AB, CD and CE.

Options B, D and E are the correct options.

Answer:

(-1,8)

Step-by-step explanation:

use formula

A(x,y) = A'(-y , -x)

coordinate point is

(-8,1)=(-1,8)

therefore the image of the (-8,1) after a reflection over the line y=-x is (-1,8)

Answer:

A'(-1,8)

Step-by-step explanation:

Initial point A(-8,1)

reflection about y=-x has the rule

x, y -> (-y, -x)

So

A(-8,1) -> A'(-1,8)

=======================================================

Explanation:

The 85 degree angle is smaller than the 90 degree angle (aka right angle). That must mean 5x-10 is smaller than 25

At the same time, 5x-10 must be larger than 0 to avoid having a 0 length or negative length.

So overall we can say 0 < 5x-10 < 25

-------------

Let's isolate x

0 < 5x-10 < 25

0+10 < 5x-10+10 < 25+10 ...... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 .... dividing all sides by 5

2 < x < 7

This says that x is between 2 and 7, but we cannot have x equal either endpoint.

Answer:

f(-2) = 3

Step-by-step explanation:

Have a nice day!

and please tell me if I am wrong.

Answer: 3

Step-by-step explanation:

If you carefully look at the table, when f(x) is -2, x is 3

Answer:

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times height \\ 16 {cm}^{2} = \frac{1}{2} \times 2x \times x \\ 16 {cm}^{2} = \frac{2 {x}^{2} }{2} \\ \\ 16 {cm}^{2} \times 2 = 2 {x}^{2} \\ 32 {cm}^{2} = 2 {x}^{2} \\ \frac{32 {cm}^{2} }{2} = {x}^{2} \\ 16 {cm}^{2} = {x}^{2} \\ \sqrt{16 {cm}^{2} } = \sqrt{ {x}^{2} } \\ 4cm = x \\ [/tex]

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.

Answer:

7.64 miles/week

Step-by-step explanation:

there are 5280 feet in a mile

and 10080 minutes in a week

so it's

4 * 10080 / 5280

the two big numbers where just gougled

Answer:

Step-by-step explanation:

Hoped that I helped you :)

Answer:

Step-by-step explanation:

Answer:

a) 9yd

b) 12ft

Step-by-step explanation:

a) find the square root

b) divide 48 by 4

Answer:

the answer is 38 minutes

Answer:

18

Step-by-step explanation:

Answer:

3.45×10^-6

Step-by-step explanation:

Crea el decimal usando los últimos 3 números: 3.45

Multiplica por 10 a la negativa potencia del número de ceros: 10^-6

Answer:

(0,0)

Step-by-step explanation:

a(-1 , 2) &  B(1, -2)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]

               [tex]= (\frac{-1 + 1}{2},\frac{2 - 2}{2})\\\\= (0,0)[/tex]

Answer:

y/x

Step-by-step explanation:

When we do y/x we can find the value of k. It gives us the constant of variation.

I took the test and I got 62

Answer: 62

Step-by-step explanation:10+10=20 15+13=28 20+14=34 34+28=62

Answer:

There is no relationship between the variables.

There is no pattern between the variables.

No reliable predictions are possible.

Step-by-step explanation:

this is the exact answer on edge 2021

Answer:

No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.

Step-by-step explanation:

its the sample response