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3 years ago

5

You earn $8 per hour for babysitting plus $0.75 per mile that she has to drive . Write an equation to represent this situation a

nd define the variables

2 answers:

ZanzabumX [31]3 years ago

7 0

Answer:

z = 8x + .75y

Step-by-step explanation:

Two variables are needed to set this equation, the variable for babysitting, and the variable for the mile.

X = hour baby sitting

Y = mile driven

Z = total amount made

THUS,

z = 8x + .75y

Hoochie [10]3 years ago

3 0

Answer:

8x+$0.75x.

Step-by-step explanation:

8x is the hours you babysit and $0.75x the miles you drive.

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n200080 [17]

Answer:

See below

Step-by-step explanation:

<u>Zeroes</u>

$f(x)=2(x-1)(x+3)$

$0=2(x-1)(x+3)$

$0=(x-1)(x+3)$

$x=1$ and $x=-3$

$(1,0)$ and $(-3,0)$

<u>Axis of Symmetry</u>

$f(x)=2(x-1)(x+3)$

$y=2(x-1)(x+3)$

$y=2(x^2+2x-3)$

$y+2(4)=2(x^2+2x-3+4)$

$y+8=2(x^2+2x+1)$

$y+8=2(x+1)^2$

$y=2(x+1)^2-8$

$y=a(x-h)^2+k$

$x=h$

$x=-1$

<u>Vertex</u>

$y=a(x-h)^2+k$

$y=2(x+1)^2-8$

$(h,k)\rightarrow(-1,-8)$

<u>Y-intercept</u>

$f(x)=2(x-1)(x+3)$

$f(0)=2(0-1)(0+3)$

$f(0)=2(-1)(3)$

$f(0)=-6$

$y=-6$

$(0,-6)$

Please review the attached graph for a visual of these key features.

5 0

3 years ago

2) find the area of each. Leave your answer in terms of Pi. <br> 4) find the area of each.

Delvig [45]

Answer:

Area of circle= 81π

Area of triangle= 371.8 yards

Step-by-step explanation:

<em>2) Area of circle = πr²</em>

<em>Area of circle = π*(18/2)²</em>

Area of circle = 81π

Therefore, the area of circle is 81π.

<em>4) Area of triangle = 1/2*base*height</em>

<em>Area of triangle = 1/2*22*33.8</em>

Area of triangle = 371.8 yards

Therefore, the area of the triangle is 371.8 yards.

!!

3 0

4 years ago

!!!! PLEASEEE HELP ME, IDK WHAT TO DO PLEASE !!!!

Helga [31]

Answer:

The first question is A.

The second question is C.

The thid question is B., I think i'm not quit sure sorry

4 0

3 years ago

Write 257% as decimal

SCORPION-xisa [38]

Answer:

<u><em>please mark brainliest!</em></u>

Step-by-step explanation:

2.57

5 0

4 years ago

Read 2 more answers

Suppose 88% of all batteries from a supplier have acceptable voltages. A certain type of flashlight requires two D batteries, an

ira [324]

Answer:

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

Step-by-step explanation:

For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Flashlight works correctly if both its batteries have acceptable voltages:

Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:

$p = (0.88)^2 = 0.7744$

10 flashlights.

This means that $n = 10$

What is the probability that at least 9 of the flashlights function properly?

This is

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260$

$P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776$

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036$

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

6 0

3 years ago