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ArbitrLikvidat [17]
3 years ago
11

F(3) if f(x) = 2x + 4

Mathematics
1 answer:
Sliva [168]3 years ago
6 0
It would be 10
You substitute “x”for “3” so the equation would be 2(3) + 4. Then you multiply 2 and 3, which is 6. Finally add the 4 to get 10.
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X y
Darina [25.2K]

Answer:

Part 1) The rate of change is \frac{17}{15}

Part 2) The initial value is 68

Part 3) The function rule to the linear model is y=\frac{17}{15}x+68

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{85-68}{15-0}

m=\frac{17}{15}

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is \frac{17}{15}

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

b=68

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

y=mx+b

we have

m=\frac{17}{15}

b=68

substitute

y=\frac{17}{15}x+68

8 0
3 years ago
Solve the following pair of simultaneous:<br><img src="https://tex.z-dn.net/?f=%205x%20%2B%202y%20%3D%20%20-%202%20%20%20%20%20%
Vladimir [108]

Answer:

x = -2 , y = 4

Step-by-step explanation:

given:

5x + 2y = -2                            <em>*4</em>

4x + 3y = 4                             <em>*5</em>

Solving simultaneously,

    20x + 8y = -8 ....eq 1

(-)  20x +15y = 20  ...eq 2

.............................................

-7y = -28

y = -28 / -7

y = 4

  • if y = 4

using equation 2,

20x +15(4) = 20

20x = -40

x = -2

8 0
2 years ago
Hw help ASAPPP<br> +10PTS
stich3 [128]

Answer:

y=mx+b

mx= 5 up, 1 to the right

b= where you start which is at 1

8 0
3 years ago
Please help and explain I'll give u 12pts
White raven [17]

-7x² + 70x - 175

= -7(x² - 10x + 25)

= -7(x - 5)²

= -7(x + -5)²

Answer: -5

7 0
2 years ago
Toni rides the Ferris wheel shown for 15 revolutions. A photo of a Ferris wheel has the diameter labeled fifty-six feet. Questio
NARA [144]

Answer:

a. 176 feet b. 2640 feet

Step-by-step explanation:

a. Since the diameter of the Ferris wheel is D = 56 feet, the distance Toni travels in one revolution is the circumference of the Ferris wheel, C = πD.

So C = 22/7 × 56 ft = 22 × 8 ft = 176 feet

b. The distance traveled in 15 revolutions is thus D' = 15 × distance of one revolution = 15 × 176 = 2640 feet

5 0
3 years ago
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