The answer is below PLEASE HELP IM BEING TIMED I WILL MARK BRAINLIEST IF RIGHT

What are the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)

MissTica

Answer:

(-5 , 0) and (6 , 0)

Step-by-step explanation:

In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)

we need to solve for x the equation (x-6)(x+5) = 0

(x-6)(x+5) = 0

⇌

x - 6 = 0 or x + 5 = 0

⇌

x = 6 or x = -5

therefore

the coordinates are :

(-5 , 0) and (6 , 0)

__________________________

:)

3 0

3 years ago

locksmith larry charges $90 for a house cal plus $20 per hour. Locksmith Barry charges $50 for a house call plus $30 per house.

nadya68 [22]

Answer:

4 hours

Step-by-step explanation:

Equations :

Larry : y = 20x + 90

Barry : y = 30x + 50

Equate both to find the number of hours at which they both charge the same :

20x + 90 = 30x + 50
30x - 20x = 90 - 50
10x = 40
x = 4 hours

4 0

2 years ago

Bailey bought a lawnmower for $600. The value of the lawnmower depreciates 2% every year. What is the value of the lawnmower aft

givi [52]

Answer:

$542

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

$y=a(1-r)^x$

where

y is the value of the lawnmower

x is the time in years

a is the initial value

r is the rate of change

we have

$a=\$600\\r=2\%=2/100=0.02$

substitute

$y=600(1-0.02)^x$

$y=600(0.98)^x$

For x=5 years

$y=600(0.98)^5=\$542$

8 0

3 years ago

A publisher reports that 344% of their readers own a particular make of car. A marketing executive wants to test the claim that

inysia [295]

Answer:

No, there is not enough evidence at the 0.02 level to support the executive's claim.

Step-by-step explanation:

We are given that a publisher reports that 34% of their readers own a particular make of car. A random sample of 220 found that 30% of the readers owned a particular make of car.

And, a marketing executive wants to test the claim that the percentage is actually different from the reported percentage, i.e;

Null Hypothesis, $H_0$ : p = 0.34 {means that the percentage of readers who own a particular make of car is same as reported 34%}

Alternate Hypothesis, $H_1$ : p $\neq$ 0.34 {means that the percentage of readers who own a particular make of car is different from the reported 34%}

The test statistics we will use here is;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, p = actual % of readers who own a particular make of car = 0.34

$\hat p$ = percentage of readers who own a particular make of car in a

sample of 220 = 0.30

n = sample size = 220

So, Test statistics = $\frac{0.30 -0.34}{\sqrt{\frac{0.30(1- 0.30)}{220} } }$

= -1.30

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the actual percentage of readers who own a particular make of car is same as reported percentage and the executive's claim that it is different is not supported.

3 0

3 years ago

"if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01"

spayn [35]

Probability between z = 0 and z = 3.01 is given by

P(0<z<3.01) = P(z<3.01) - P(z<0)

Reading from the z-table, we have
P(z<0) = 0.5
P(z<3.01) = 0.9987

Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987

5 0

3 years ago