5x + y = 17 and 3x- y = 7

Write a slope-intercept equation for a line passing through the point (5,-5) that is parallel to the line x = -2. Then write a s

Gnesinka [82]

Answer:

1. y=-2x+5

2. y=1/2x-7.5

Step-by-step explanation:

you plug in the cordinates for the y intercept and you already have the slope.

y=mx+b

m= slope which is -2

6 0

3 years ago

Amy mixed together 2.4 gal. of Brand A fruit drink and 5.6 gal. of apple juice. Find the percent of fruit juice in Brand A if th

stellarik [79]

Answer:

D

Step-by-step explanation:

The fruit punch has 2.4 gallons but x %

Apple juice has 5.6 gallons but 100 % or 1

The total mixture would then have 8 gallons and 82 %.

2.4+5.6=8

8×0.82 = 6.56

Then you would do 2.4x + 5.6(1) = 6.56

2.4x + 5.6 = 6.56

2.4x = 0.96

0.96/2.4 = 0.4 = 40%

Therefore, Brand A has 40% fruit juice

5 0

3 years ago

Please help, this will just take a minute of your time ❤︎ (literally)<br>(Discriminant Worksheet)

igomit [66]

Answer:

$\large\boxed{x=-\dfrac{7-\sqrt{97}}{4}\ \vee\ x=-\dfrac{7+\sqrt{97}}{4}}$

Step-by-step explanation:

$ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{We have:}\\\\-2x^2-7x+10=4\qquad\text{subtract 4 from both sides}\\\\-2x^2-7x+6=0$

$a=-2,\ b=-7,\ c=6\\\\\Delta=(-7)^2-4(-2)(6)=49+48=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x=\dfrac{-(-7)\pm\sqrt{97}}{2(-2)}=\dfrac{7\pm\sqrt{97}}{-4}=-\dfrac{7\pm\sqrt{97}}{4}$

6 0

3 years ago

The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5

miskamm [114]

Answer:

z=-3.25

$p_v =2*P(z$

Step-by-step explanation:

1) Data given and notation

$\bar X=5.24$ represent the mean production for the sample

$\sigma=0.32$ represent the sample standard deviation for the sample

$n=16$ sample size

$\mu_o =5.5$ represent the value that we want to test

$\alph=0.05a$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part a: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean production is different from 5.5 tons, the system of hypothesis would be:

Null hypothesis: $\mu =5.5$

Alternative hypothesis: $\mu \neq 5.5$

If we analyze the info given we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

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

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{5.24-5.5}{\frac{0.32}{\sqrt{16}}}=-3.25$

P-value

Since this is a two side test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the production its significant different compared to the desired percentage of SiO2 of 5.5 at 5% of signficance.

7 0

3 years ago

jessica will babysit children for $8 an hour. ciara will babysit for an appointment fee of $12 and $4 an hour. how many hours wo

SSSSS [86.1K]

Answer:

Answer are in bold below

Step-by-step explanation:

Question: 1

Jessica = $8

Ciara = $12 + 4 $16

Now we times both values.

16 x 8 = $128

8 x 16 = $128

They would both need to work 8 hours ft=or the same money.

Question 2:

$8 x 5 = $40

$16 x 5 =$80

Jessica will be less expensive.

5 0

3 years ago

Read 2 more answers

5x + y = 17 and 3x- y = 7 ​

5x + y = 17 and 3x- y = 7