MATHEMATICS HIGH SCHOOL

Given the functions f (x) = x^2 + 4 and g (x) = 3x+ 8 what is a solution for the equation ? x^2 + 4 = 3x + 8 A. 0 B. 1 C. 2 D. 4

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4=3x+8

Step 1: Subtract 3x+8 from both sides.

x2+4−(3x+8)=3x+8−(3x+8)

x2−3x−4=0

Step 2: Factor left side of equation.

(x+1)(x−4)=0

Step 3: Set factors equal to 0.

x+1=0 or x−4=0

x=−1 or x=4

Answer:

x=−1 or x=4

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What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 4/3x + 4

Step-by-step explanation:

y = mx + b is the formula for finding the slope intercept form equation

m = slope

b = y intercept

If you look at points (-3, 0) and (0, 4), you can calculate the slope

You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)

Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4

Now, lets create your equation...

y = 4/3x + 4

For non-zero denominators, simplify: $(3a^3-75a)/(a(a+5)(a+5))$

Answers

$(3a^3-75a)/(a(a+5)(a+5))=(3a(a^2-25) )/(a(a+5)(a+5))=(3a(a - 5)(a+5) )/(a(a+5)(a+5)) =(3 (a - 5) )/( (a+5) )$

Few math questions TIME IS RUNNING OUT!! PLEASE HELP!!!!PLEASE LOOK AT ALL THE PHOTOS TO SEE ALL THE QUESTIONS.

Answers

10 knots

third choice

first choice

1.

Answer C.

2.

Answer D.

3.

Answer B.

How many zero pairs must be added to the functionf(x) = x2 – 10x – 4 in order to begin writing the function in vertex form?

A.4
B.10
C.21
D.25

Answers

f(x) = x² - 10x - 4
f(x) + 4 = x² - 10x

- 10x / 2 = - 5x

- 5² = 25

f(x) + 4 + 25 = (x² - 10x + 25)
f(x) + 29 = (x-5)²
f(x) = (x-5)² - 29

D. 25

solve for y.try factoring first,if factoring is not possible or difficult use quadratic formula,(y2 2isabovey -10y+23=0)

Answers

$y^2-10y+23=0\n y^2-10y+25-2=0\n (y-5)^2=2\n |y-5|=\sqrt2\n y-5=\sqrt 2 \vee y-5=-\sqrt2\n y=5+\sqrt2 \vee y=5-\sqrt2$

Emily's school is 4 miles away from her home. She goes by car to school and back. The car consumes 3 gallons of fuel during the 5 days Emily takes the car to school and back. How many miles can Emily travel per gallon of fuel? Round to the nearest tenth.

Answers

distance per day = 8 miles
3/1 = (8 X 5)/x
3x = 40
x=40/3
x = 13,3 miles

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