Please help (look at picture)

If the difference of two numbers is 7 and their product is 60, what are they?

user100 [1]

X - y = 7.....x = y + 7
x * y = 60

y(y + 7) = 60
y^2 + 7y = 60
y^2 + 7y - 60 = 0
(y + 12)(y - 5) = 0

y + 12 = 0
y = -12....not this one because it is negative

y - 5 = 0
y = 5 <===

x - y = 7
x - 5 = 7
x = 7 + 5
x = 12 <==

so ur 2 numbers are 12 and 5

4 0

3 years ago

R^2+8r=-7<br>solve the equation with the quadratic formula showing work

Yuliya22 [10]

Answer:

Step-by-step explanation:

r²+8r=−7

Step 1: Subtract -7 from both sides.

r²+8r−(−7)=−7−(−7)

r²+8r+7=0

Step 2: Use quadratic formula with a=1, b=8, c=7.

r= $r=\frac{-b+or-\sqrt{-4ac} }{2a}$

$r=\frac{-8+or-\sqrt{(8})^2-4(1)(7) }{2(1)}$

7 0

3 years ago

Check all the statement(s) that are true about the polynomial function graphed.

slava [35]

The true statements are:

2 - we can tell this by looking at the far right of the graph, as the slope is going downwards, therefore the leading coefficient must be negative

3 - this is a cubic, meaning its degree is 3

6 - by looking at the graph, we can see that there are 3 points where it cuts the x axis, hence 3 real zeros

7 - even multiplicity is where the curve "bounces off" the x axis and does not cross it. This curve have no zeros with even multiplicity

Hope this helped!

7 0

3 years ago

Read 2 more answers

Write the slope-intercept form of the linear equation that has a slope of 3

Goshia [24]

Answer:

y = 3x - 1

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

8 0

3 years ago

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, the statistic is given by

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0

3 years ago