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viva [34]
2 years ago
12

1. What are the x and y-intercepts of y = -4x + 12?

Mathematics
1 answer:
marshall27 [118]2 years ago
7 0

Answer:

the y intercept is 12 and the x is 0.

Step-by-step explanation:

y = mx + b  is the form where mx is the slope and b is the y intercept.

A number is a y intercept when the x is 0.

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A grasshopper jumps straight up from the ground with an initial vertical velocity of 8 feet per second. After how many seconds w
vlabodo [156]

Answer:

Problem 1 : After 0.25 s

Problem 2 : The squirrel doesn't reach the ground before the nut

Step-by-step explanation:

Problem 1

This is a standard physics problem

The equation that defines the movement of the grasshopper given the initial velocity, and the acceleration is the following

Distance =  Do + Vo*t + 0.5*a*t^2

Where

Do is the initial distance.

(Do = 0, because the grasshopper is on the ground and we choose the reference system there)

Vo is the initial velocity = 8 feet/sec

a is the acceleration that is exerted on the body (in this case a = g = -9.8 m/s^2 = - 32.174 feet per second per second.)

t is the time

We substitute in the equation, and solve for t (time)

Distance =  Do + Vo*t + 0.5*a*t^2

(1 foot)=  (0)+ (8 feet/s)*t + 0.5*(-32.174 feet/s^2)*t^2

Solving this equation, we get that

t = 0.25 s

Problem 2

This problem is similar to the previous one

We apply the same formula

D =  Do + Vo*t + 0.5*a*t^2

But in this case, we are going in the opposite direction, and we have an initial distance.

Do = 27 feet

Vo is the initial velocity of the nut = -6 feet/s

D = 0  (Ground)

We substitute in the equation, and solve for t (time)

(0) =  (27) + (-6 feet/s)*t + 0.5*(-32 feet/s^2)*t^2

t = 1.125 s  <  2s

The nut reaches ground in 1.125 s, so the squirrel doesn't reach the ground before the nut

4 0
3 years ago
A box of golf balls costs $7.32. At that rate, how much will a box of 15 balls cost?
san4es73 [151]
Your question is vague. There is not enough information. How many balls are in the box? 15 boxes would cost 109.80 thought.
3 0
3 years ago
Find the slope of the following 2 points (2,-5), (9,3)
Rama09 [41]

Answer:

8/7

Step-by-step explanation:

(2,-5) (9,3)

3-(-5)=8 because you apply your keep change change

9-2=  7

so 8/7

4 0
3 years ago
Anser number 6 for me so i kan get a better grade
Arlecino [84]

Answer:

Rita is left with approximately \$ 4

Step-by-step explanation:

Given:

Price for trousers= \$ 19.39

Price for shirt = \$ 27.88

Price for headscarf = \$ 8.62

Total Money she Spent = Price for trousers + Price for shirt + Price for headscarf = \$ 19.39 + \$ 27.88+ \$ 8.62 = \$55.89

Total Money she had before = \$60

∴Total Money left = Total Money she had - Total Money she spent = \$60 - \$55.89 = \$4.11

Rounding to nearest whole number ≈ \$4

7 0
3 years ago
The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se
Rina8888 [55]

Answer:

<h2>3 and -8</h2>

Step-by-step explanation:

x,\ y-the\ numbers\\\\\text{The sum of four times a number and five times another number is -28:}\\\\4x+5y=-28\\\\\text{The sum of nine times the first number and two times the second number is 11:}\\\\9x+2y=11\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}4x+5y=-28&\text{multiply both sides by2}\\9x+2y=11&\text{multiply both sides by (-5)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}8x+10y=-56\\-45x-10y=-55\end{array}\right}\qquad\text{add both sides of the equation}

.\qquad-37x=-111\qquad\text{divide both sides by (-37)}\\.\qquad\qquad\boxed{x=3}\\\\\text{Put the value of x to the first equation:}\\\\4(3)+5y=-28\\12+5y=-28\qquad\text{subtrac 12 from both sides}\\5y=-40\qquad\text{divide both sides by 5}\\\boxed{y=-8}

3 0
2 years ago
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