Based only on the given information, it is guaranteed that Ac = bc

Answer:

y=mx+b

y=mx+b-b

y-b=mx

y-b/m = mx/m

y-b/m = x

Answer:

x = (y - b)/M.

Step-by-step explanation:

y = Mx + b

Mx = y - b

x = (y - b)/M.

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

Answer:cool

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

let the number be 'a'

-2(a - 19)= -8

open the brackets

-2a + 38 = -8

collect like terms

38 + 8 = 2a

46 = 2a

a = 23

Answer:

The point estimated is 0.260

Step-by-step explanation:

The computation is shown below:

Sample in which the people have diabetes = 52

Random sample = 200

Significance level = 5%

Based on this, the, estimation point is

= Sample in which the people have diabetes ÷ Random sample

= 52 ÷ 200

= 0.260

hence, the point estimated is 0.260

We simply applied the above formula

And, the same is to be considered

The Null Hypothesis is accepted because the value of z is 0.973 and this can be determined by performing the test of the Hypothesis.

Given :

Hypothesis are as follows:

Null hypothesis,  [tex]\rm H_0: p\leq 0.231[/tex]

Alternate hypothesis,  [tex]\rm H_a : p>0.231[/tex]

Now, performing the test of the hypothesis. The critical value z is given by:

[tex]z = \dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex]    ----- (1)

Now, the value of [tex]\hat {p}[/tex] is given by:

[tex]\hat{p}=\dfrac{52}{200} = 0.26[/tex]

Now, put the values of known terms in equation (1).

[tex]z = \dfrac{0.26-0.231}{\sqrt{\dfrac{0.231\times 0.769}{200}}}[/tex]

[tex]z = \dfrac{0.029}{0.0298}[/tex]

z = 0.973

Therefore, the null hypothesis is accepted.

For more information, refer to the link given below:

https://brainly.com/question/19613147

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15

Answer:

1/6

Step-by-step explanation:

there are 6 sides, and 3 is one of the 6 sides. thus, the answer is 1/6

Answer:

1/6

Step-by-step explanation: there are 6 incomes and 1 number 3 in a die

[tex]\tt Step-by-step~explanation:[/tex]

Slope = rise/run

[tex]\tt Steps:[/tex]

Rise: The line travels 5 units vertically (up) from the first point to the second.

Run: The line goes 6 units horizontally (left) from the first point to the second.

Slope = rise/run; Slope = 5/6

[tex]\Large\boxed{\tt The~slope~of~the~line~is:~\frac{5}{6}~units }[/tex]

Answer:

Slope = rise/run

Step-by-step explanation:

Answer: 31

Step-by-step explanation: long division

Answer:

g=4 h=6

Step-by-step explanation:

3g +h = 18 (Equation 1)

2g+3h=26 (Equation 2)

From equation 1

3g+ h =18

h= 18-3g (equation 3)

substitute equation 3 into equation 2

2g+3h= 26

2g+ 3(18-3g)= 26

2g+3×18+3(-3g)=26

2g+54-9g=26

9g-2g= 54-26

7g=28

7g÷7 = 28÷7

g= 4

substitute g into equation 1

3g+h=18

3(4)+ h= 18

12+h= 18

h=18-12

h= 6

Answer:

g = 4; h = g

Step-by-step explanation:

When solving an equation with two variables, the goal is to isolate at least one of the variables so that you can plug it in to the equation to get the other. There are multiple ways to solve this so I'll just be giving one.

3g + h = 18

2g + 3h = 26

In these two equations, I notice that if I multiply the first equation by 3, the two equations will have the same values of h, so I'd be able to isolate g:

9g + 3h = 54

2g + 3h = 26

Now, subtract the second equation from the first to isolate g:

9g + 3h = 54

-2g + 3h = 26

= 7g = 28

= g = 4

Now that we have solved for g, we can plug it into either of the equations and solve for h:

2(4) + 3h = 26

= 8 + 3h = 26

= 3h = 18

= h = 6

And in conclusion, g = 4 and h = 6.

Answer:

[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]

Step-by-step explanation:

[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]

A little algebra process later...

you got the answer

Hoped this helped ya

<3

Answer:

(x-1-3y) x (x-1+3y)

Step-by-step explanation:

x^2-2x+1-9y^2

Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2

(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y)  should be the answer :)

Answer:

andrew gets 15 dollars a hour

and andr

Answer:

y=-2x+3

Step-by-step explanation:

the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b

Pls mark as brainliest thank u.

Answer:

Step-by-step explanation:

See attachment

Answer:

In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.

Answer: 10 + 8

Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!

Answer:

4mm

Step-by-step explanation:

The ratio of the two congruent shapes are 2.5:1

15 : 6 = 2.5 : 1

15/6 = 2.5

5 : 2 = 2.5 : 1

5/2 = 2.5

Therefore, 10 : x = 2.5 : 1

10/x = 2.5

x = 4

Answer: 15, 2, 6, and 5

Step-by-step explanation: they are equal to the measurements listed

Answer:

b. diffusion and active transport

Step-by-step explanation:

these are two ways that substances, like nutrients, pass through cell membranes.

Answer:

b

Step-by-step explanation:

Answer:

elsa's interval width will be greater than that of frank

Step-by-step explanation:

first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.

now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.

from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.

Answer:

The average cost per​ tape is 10.

Step-by-step explanation:

The cost of manufacturing a particular videotape is :

C(x) = 9000+9x

Where

x is the number of tapes produced.

We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]

[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]

So, the average cost per​ tape is 10.

Answer:

THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL

Step-by-step explanation:

Answer:

2 plus 3

Step-by-step explanation:

Answer:

If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.

The two rates would be 3:60 and 2:40 and so on 1:20

Step-by-step explanation:

Good luck! Hope this helps! <3

Answer:

answer is 5

Step-by-step explanation:

f(5)= -5×5^2+26×5

= -125+130

= 5

Answer:

We reject H₀, we find that the  current level of mercury uptake in the Everglades has decrease

Step-by-step explanation:

We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)

Test Hypothesis:

Null hypothesis             H₀          μ   =  μ₀

Alternative hypothesis Hₐ          μ   <  μ₀

Sample size 25             then n < 30 we will use t-student table

Population mean : μ₀ = 15 ppm

sample mean :  μ  = 14,6 ppm

sample standard deviation:   s = 1 ppm

Sample size n :  25

degrees of freedom   df = n - 1         df = 24

We will develop the test for CI 90%  then  α = 10%      α = 0,1   α/2 = 0,05

For that values in t student table we find:

t(c) = 1,711    by symmetry t(c) = - 1,711

To compute ts

t(s) =  ( μ - μ₀ ) / s/√n

t(s) = 14,6 - 15 / 1 /√25

t(s) = - 0,4*5 / 1

t(s) = - 2

Comparing t(c)and t(s)

|t(s)| > |t(c) |      and t(s) < t(c)         -2 < -1,711

Therefore t(s) in in the rejection region, we reject H₀  

Answer:

Step-by-step explanation:

5.234

Answer:

If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.

If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:

(-3)^2-4*2*12

=9-96

=-87

Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.

Answer:

True

Step-by-step explanation:

If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.