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3 years ago

Please Help! Will Give A Brainliest!!

Mathematics

1 answer:

Ray Of Light [21]3 years ago

6 0

A) because when they are equal it means that their y has the same value, which means their intersection point.

B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2
y1 = 4^-(-2) = 4^2 = 16
y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2 => so x=-2 isn't our answer
-------------------------------------------------------
x = -1
  y1 = 4^-(-1) = 4^1 = 4
y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2   =>   so our answer will be x = -1
-------------------------------------------------------
x = 0
  y1 = 4^-(0) = 4^0 = 1
y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2 => so x=0 isn't our answer
--------------------------------------------------------------
x = 1
  y1 = 4^-(1) = 4^(-1) = 1/4
y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2 => so x=1 isn't our answer
--------------------------------------------------------------
x = 2
  y1 = 4^-(2) = 4^(-2) = 1/16
y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2 => so x=2 isn't our answer

Which means that our final answer is: x=-1

C) You should draw both graphics, and their intersection point (x) will be the answer.

I hope it helped.

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Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile dr

vazorg [7]

Answer:

An equation for each situation, in terms of x

A = 35 + 3x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

Step-by-step explanation:

Let A represent the amount Company A would charge if Piper drives x miles

Let B represent the amount Company B would charge if Piper drives x miles.

Company A charges an initial fee of $35 for the rental plus $3 per mile driven.

A= $35 + $3 × x

A = 35 + 3x

Company B charges an initial fee of $80 for the rental plus $2 per mile driven.

B = $80 + $2 × x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B.

= A < B

35 + 3x < 80 + 2x

3x - 2x < 80 - 35

x < 45 miles

That is: any number of miles driven below 45 miles makes Company A cheaper than Company B

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

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3 years ago

The thickness of a plastic film (in mils) on a substrate material is thought to be influenced by the temperature at which the co

statuscvo [17]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if rising the process temperature reduces the thickness of the plastic film that coats a substrate material To do so, two samples of substrates are coated at different temperatures:

Sample 1

X₁: Thickness of the plastic film after the substrate is coated at 125F

n₁=11

X[bar]₁= 101.28

S₁= 5.08

Sample 2

X₂: Thickness of the plastic film after the substrate is coated at 150F

n₂= 13

X[bar]₂= 101.70

S₂= 20.15

Does the data support this claim? Use the P-value approach and assume that the two population standard deviations are not equal.

Now if the higher the heat, the thinner the thickness of the plastic coating, then the average thickness of the coating done at 150F should be less than the average thickness of the coating done at 125F, symbolically: μ₂ < μ₁

Then the hypotheses are:

H₀: μ₂ ≥ μ₁

H₁: μ₂ < μ₁

α:0.05 (there is no α level stated so I've chosen the most common one)

Assuming that both variables have a normal distribution since the population standard deviations are not equal, the statistic to use is the Welch's t-test:

$t= \frac{(X[bar]_2-X[bar]_1)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} } } ~~t_w$

$t_{H_0}= \frac{(101.7-101.28)-0}{\sqrt{\frac{(20.15)^2}{13} +\frac{(5.08)^2}{11} } } = 0.072$

This test is one-tailed to the left, meaning that you'll reject the null hypothesis at small values of t. The p-value is also one-tailed and has the same direction as the test. To calculate it you have to first calculate the degrees of freedom of the Welch's t:

$Df_w= \frac{(\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} )^2}{\frac{(\frac{S^2_1}{n_1})^2 }{n_1-1}+\frac{(\frac{S^2_2}{n_2} )^2}{n_2-1} }$

$Df_w= \frac{(\frac{5.08^2}{11} +\frac{20.15^2}{13} )^2}{\frac{(\frac{5.08^2}{11})^2 }{10} +\frac{(\frac{20.15^2}{13} )^2}{12} } = 13.78$

The distribution is a Student's t with 13 degrees of freedom, then you can calculate the p-value as:

P(t₁₃≤0.072)= 0.4718

Using the p-value approach, the decision rule is:

If the p-value ≤ α, the decision is to reject the null hypothesis.

If the p-value > α, the decision is to not reject the null hypothesis.

The p-value is greater than the significance level, so the decision is to nor reject the null hypothesis.

Using a significance level of 5%, there is no significant evidence to support the claim that the average thickness pf the plastic coat processed at 150F is less than the average thickness pf the plastic coat processed at 125F.

I hope you have a SUPER day!

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3 years ago

You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which

Liono4ka [1.6K]

step 1

Subtract 14 from 50

50-14=36

$p+14\leq50$

If you solve for p

$p\leq36$

the answer is the second option

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11 months ago

Question 7 of 10

klemol [59]

I think the answer is C. 45 units

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2 years ago

The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?

Y_Kistochka [10]

The answer is: [B]: " x + 3y + 10 = 0 " .
______________________________________________________
Explanation:
______________________________________________________
Note the equation for a line; in 'slope-intercept form': "y = mx + b" ;

in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
"m" = the slope of the line; and is the co-efficient of "x" ;
b = the "y-intercept"; (or the "y-coordinate of the point of the "y-intercept").
______________________________________________________
So, given the information in this very question/problem:
______________________________________________________
slope = m = (-1/3) ;
b = y-intercept = (10/3) ;
______________________________________________________
And we can write the equation of the line; in "slope-intercept form"; that is:
______________________________________________________
" y = mx + b " ; as:
______________________________________________________

" y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form"; or "standard format"; which is:
________________________________________
"Ax + By + C = 0 " ;
________________________________________
So; given:
____________________________________
" y = (-1/3)x + (10/3) " ;
____________________________________
We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

→ 3* { y = (-1/3)x + (10/3) } ;

→ 3y = -1x + 10 ;

↔ -1x + 10 = 3y ;

Subtract "(3y)" from each side of the equation:
____________________________________
-1x + 10 − 3y = 3y − 3y ;

to get:

-1x + 10 − 3y = 0 ;

↔ -1x − 3y − 10 = 0 ;

→ This is not one of the "3 (THREE) answer choices given" ;

→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:

-1 * {-1x − 3y − 10 = 0} ;

to get:
______________________________________________________
→ " x + 3y + 10 = 0 " ; which is: "Answer choice: [B] ."
______________________________________________________
Note that is equation is in the "standard format" ;
→ " Ax + By + C = 0 " .
______________________________________________________

6 0

3 years ago

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