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The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

[tex]$f(x)=x^{2}+15[/tex] and [tex]f(x)=64[/tex]

To find the solutions when f(x) = 64.

Both are equations of f(x), so equate the given equations, we get

[tex]x^2+15=64[/tex]

Subtract 15 from both sides of the equation.

[tex]x^2+15-15=64-15[/tex]

[tex]x^2=49[/tex]

49 can be written as 7².

[tex]x^2=7^2[/tex]

Taking square root on both sides of the equation, we get

x = ±7

The solutions to f(x) = 64 is x = 7 and x = –7.

Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!

Step-by-step explanation: hope i helped please mark brainliest!

Answer:

(2, 1) is the point.

D. 2

Answer:

= 6 ( a + 3b)

Step-by-step explanation:

6a + 18b

The highest common factor of 6 and 18 = 6

Therefore,

6a + 18b = 6( 6a/6  + 18b/ 6 )

= 6 ( a + 3b)

I hope this was helpful, please rate as brainliest

Answer:

Step-by-step explanation:

Cost of paint brushes= Total cost - cost of paint

                                   = 71 - 50 = $21

No.ofpaint brushes =21/3.50 = 21*10/3.5*10

                                 = 210/35 = 6

Answer:

Natasha paid $6 per paintbrush

Step-by-step explanation:

we can make use of variables

p = paint

b = brushes

bought paintbrushes and paint for a total of $71. . The brushes cost $3.50 per brush and the paint cost $50

we can create an equation from the information

3.5b + 50p = 71

since 1 paint is bought

3.5 b + 50 (1) = 71

3.5b = 71 - 50

3.5b = 21

b = 21/3.5

b = 6

16/3. You can use a calculator and divide 96/18, then convert to a fraction by using the math button.

Answer:

16/3

Step-by-step explanation:

Divide the numerator and the denominator by 6

Answer:

98

Step-by-step explaination:

For this question, it is a direct variation. Hence, the equation would be formed accordingly, and the constant k would also be used.

z varies directly as x²

z= kx² where k is the constant

z = 8

x = 2

Putting the figures in the equation, we have

8=2²(k)

8= 4k

Dividing both sides by 4, we have

k = 8/4

k = 2

Solving for z now, we substitute k with 2. And x with 7

z=kx²

z = 2(7²)

z= 2(49)

z= 98

If it were indirect variation, the constant would have been 1/k. We also have other types of variation, Indirect variation, partial variation and joint variation.

Answer:

x = 2

Step-by-step explanation:

Step 1:  Set 3x - 2 equal to 5x - 6 to get x

3x - 2 = 5x - 6

Step 2:  Solve for x

3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x

4 / 2 = 2x / 2

2 = x

Answer:  x = 2

Answer:

2

Step-by-step explanation:

5x-6=3x-2

5x-3x=-2+6

2x=4

x=2

Answer:

by 2

Step-by-step explanation:

Answer: 2 seconds

Step-by-step explanation:

A computer company is testing a new booster to increase program load times. The box plots show the number of seconds it takes to load a program with and without the booster. Using these plots, how much did the median change?

Answer: x = -1

Calculation/Explanation:

11x-3 = x-13

11x-3 -x = x-13 -x

10x-3 = -13

10x-3 +3 = -13 +3

10x = -10

10x /10 = -10/10

x = -1

About 71.96% of the cylindrical water tank, with a radius of 5 feet and a height of 10 feet, is filled with water when it contains 565.2 cubic feet of water.

To determine what percent of the tank's volume is filled with water, we must first calculate the total volume of the cylindrical tank using the formula for the volume of a cylinder: V = (pi)r²h. Here, the radius r is 5 feet, and the height h is 10 feet.

The total volume V of the tank is:

V = (pi)(5 feet)²(10 feet) = 3.14159 times 25 times 10 = 785.398 cubic feet

Now, since the volume of water in the tank is given as 565.2 cubic feet, we can calculate the percent of the tank's volume that is filled with water by dividing the volume of water by the total volume of the tank and then multiplying by 100 to convert to a percentage. So the calculation becomes:

Percent filled = ([tex]\frac{565.2}{785.398}[/tex]) times 100

Percent filled approx 71.96%

Therefore, about 71.96% of the tank's volume is filled with water.

Answer:

27719

Step-by-step explanation:

The population after 14 years, to the nearest whole number is 27,719.

Given that,

The calculation is as follows:

[tex]= 14,000 \times (1.05)^14[/tex]

= 27,719

Learn more: brainly.com/question/16911495

Answer:

Step-by-step explanation:

Answer:

The graph below should help:

Answer:

The y -intercept is the point  (0, -4).

Step-by-step explanation:

The slope of the perpendicular line = -1/m

= -1/-1 = 1.

So it is y = x + b.

To find b we substitute the point (-3, -7):

-7 = -3 + b

b = -7 + 3 = -4.

The y -intercept is the point (0, -4).

Answer:

[tex]x=-1\\y=7[/tex]

Step-by-step explanation:

Given equations:

[tex]-8x+5y=43[/tex]    Equation:1

[tex]-8x+4y=36[/tex]     Equation:2

As the coefficients of 'x' are same which will eliminate the terms of 'x':

Subtracting Equation:2 From Equation:1

        [tex]-8x+5y-(-8x+4y)=43-36\\\\-8x+5y+8x-4y=7\\\\5y-4y=7\\\\y=7[/tex]

Putting value of 'y' in either equation:1 or 2

Putting y=7 in equation:2

   [tex]-8x+4y=36[/tex]

    [tex]-8x+4(7)=36\\\\-8x+28=36[/tex]

Subtracting '28' from both side:

     [tex]-8x+28-28=36-28\\\\-8x=8\\[/tex]

Changing the sides:

       [tex]8x=-8[/tex]

         [tex]x=\frac{-8}{8} \\\\x=-1[/tex]

The values are :        

                             [tex]x=-1\\y=7[/tex]

Answer:

(-5)

( 1 )

Step-by-step explanation:

the image is 1 units upper than object and 5 units behind the object therefore

x=-5

y=1

Answer:-228

Step-by-step explanation:

Step-by-step explanation:

pi×diamiter = circumference

pi÷circumference = diamiter

3.14159265358979 (pi) ÷ 16

Calculate the diameter of a cylindrical pipe with a circumference of 16cm using the formula C = πd. Hence the diameter of the pipe is approximately 5.09 cm.

The circumference of a cylindrical pipe is related to its diameter through the formula C = πd, where C is the circumference, π is Pi (approximately 3.14159), and d is the diameter. Given that the circumference is 16 cm, we can use the formula to solve for the diameter:

16 = πd

16 = 3.14159d

d = 16 / 3.14159 ≈ 5.09 cm

Therefore, the diameter of the pipe is approximately 5.09 cm.

Answer:

Stefan has 12 friends. He's very popular

Step-by-step explanation:

Answer:

The axis of symmetry is -9

Step-by-step explanation: The AOS will always be the x value of your vertex.

Answer:

The leading coefficient is -7

Step-by-step explanation:

The leading coefficient is the number in front of the highest power variable.  In this case, the highest variable is x^2 and in front of it is -7.  Therefore, the leading coefficient is -7

Answer:  The leading coefficient is -7

Answer:

½pi or 0.5pi units²

Step-by-step explanation:

Area : angle

9pi : 2pi

x : pi/9

9pi/2pi = x/(pi/9)

4.5 × pi/9 = x

x = ½pi or 0.5pi units²

The value of x is -3.

Step-by-step explanation:

⇒ 26° = 2x+32

⇒ 2x = 26-32

⇒ 2x = -6

⇒ x = -6/2

⇒ x = -3

Substitute x=-3 in ∠BOD = 2x+32

∠BOD = 2(-3)+32 = 26°

Answer:

d

Step-by-step explanation:

Answer:

i believe the answer is c

Step-by-step explanation:

Answer:

5b+5y

Step-by-step explanation:

Answer:

The player that placed the knight after the first person at the start of the game. There in his turn whatever role the knight played he both had opportunity to space each knight strategically and use the knight to protect whatever wins the game.

Step-by-step explanation:

Maths is 81/80 =1