5
Find the equation of the straight line that goes through the point
(4, 3) and is perpendicular to the line y = 2x+11, Give the answer
in the form y= mx + C.

Answer:

x^3 - 21x^2 + 144x - 324

Step-by-step explanation:

f(x) = x^2 - 15x + 54

g(x) = x - 6

To find f(x) x g(x), you just substitute the values of f(x) and multiply it with g(x).

(x^2-15x+54)(x-6) = x^3 - 15x^2 + 54x - 6x^2 + 90x - 324

                            = x^3 - 21x^2 + 144x - 324

Your welcome, and comment if you have any questions! :D

Answer:

0.94

Step-by-step explanation:

Formula; P(AUB) = P(A) + P(B) - P(AB).

P(A) = 0.7

P(B) = 0.8

P(AB) = 0.56

=  0.7 + 0.8 - 0.56

=  0.94

Hence, P(A U B) = 0.94

[RevyBreeze]

Answer:

P(A ∪ B) = 0.94

Step-by-step explanation:

P(A) = 0.7

P(B) = 0.8

P (A ∩ B) = 0.56

P(A ∪ B) = P(A) + P(B) - (A ∩ B)

⇒ P(A ∪ B) = 0.7 + 0.8 - 0.56

⇒ P(A ∪ B) = 0.94

Answer:

let s = number of buttons on a shirt

let j = number of buttons on a jacket

Create 2 equations from the given information:

Equation 1:  36s + 42j = 842

Equation 2:  6s + 7j = 137

If we multiply equation 2 by 6 we get:

⇒ 36s + 42j = 822

Comparing this with equation 1, we can see that the number of shirts and jackets is now the same BUT the number of buttons is different

Therefore, her hypotheses is incorrect and we cannot solve to determine the number of buttons on a shirt and/or jacket.

Answer:

Amount of sunlight, amount of water, amount of fertilizer, etc

Step-by-step explanation:

Many factors could be the independent variable. It could be amount of sunlight, amount of water, amount of fertilizer, etc. Dependent variables respond to the independent variables, which are the ones you change.

[tex]\\ \rm\hookrightarrow \dfrac{BC}{AB}=\dfrac{CE}{ET}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{4}{7}=\dfrac{8}{x}[/tex]

[tex]\\ \rm\hookrightarrow 4x=56[/tex]

[tex]\\ \rm\hookrightarrow ET=x=14[/tex]

Answer:

12x²+7x-10

Step-by-step explanation:

(3x-2)(4x+5)

=12x²-8x+15x=10

=12x²+7x-10

S = length * width = (3x-2)(4x+5)

Answer:

d 12x2 + 7x – 10

edg got a 100 % on test

Step-by-step explanation:

Answer:

the awnser is d bc it passes through the line

Answer:

22v^2 + 5v - 4

Step-by-step explanation:

5v^2 + 9v - 11 + v - 7 + 17v^2 -5v +14

22v^2 + 5v - 4

Answer:

[tex] = - 3[/tex]

I have brainlest

I have follow me

I have heart and 5 star

Answer:

every two seconds it does one full swing,meaning after 30 seconds. it will do 15 full swings.

Step-by-step explanation:

Answer:

Graph A.

Step-by-step explanation:

I graphed it out and my graph is below this text.

Have a great day! :D

Answer:

5

Step-by-step explanation:

Given:

9/12 = .75

__________________________________________________________

13 9/12 ÷ 2 9/12 = 13.75 ÷ 2.75

13.75 ÷ 2.75 = 5

Hope this helps!!

~Silver

6

To solve this problem, you need to divide the total number of students going on the field trips with the number of students in each group.

44/7

= 6 R 2

Since, I assume there can only be groups of 7, the answer is 6.

Answer:

[tex]\sf 1\frac{1}{6}[/tex]

solving steps:

[tex]\sf given: x = 9, \ y = \frac{5}{6}[/tex]

solve:

[tex]\sf \frac{2}{3} (x-6)-y[/tex]

[tex]\sf \frac{2}{3} (9-6)-\frac{5}{6}[/tex]

[tex]\sf \frac{2}{3} (3)-\frac{5}{6}[/tex]

[tex]\sf 2 - \frac{5}{6}[/tex]

[tex]\sf \frac{12}{6} -\frac{5}{6}[/tex]

[tex]\sf \frac{12-5}{6}[/tex]

[tex]\sf \frac{7}{6}[/tex]

[tex]\sf 1\frac{1}{6}[/tex]

Answer:

7/6

Step-by-step explanation:

x = 9,  y = 5/6

2/3(x - 6) - y

2/3(9 - 6) - 5/6

2 - 5/6

12/6 - 5/6

= 7/6

Answer:

No, Maddie is not correct. The points (4, 5) and (10, 8) do not represent equivalent ratios. The ratio 4 to 5 is not the same as the ratio 10 to 8

Step-by-step explanation:

Step-by-step explanation:

come on !

how do you create a line ?

you mark 2 points, take a ruler and draw a line through both points (and extend the line beyond the points as far as the chart goes).

how do you find points ?

you think about a nice value for x (really, any value on the x-axis of the chart is OK) and then calculate y.

you mark the point at this x, y coordinates.

you know, the x-axis is the horizontal coordinate line, and the y-axis is the vertical coordinate line.

so, I would pick x =0. that gives us y = 0 + 0.5 = 0.5.

and maybe x = 2. that gives us y = 2 + 0.5 = 2.5

so, you have (0, 0.5) and (2, 2.5) as points.

and then simply do as described above.

ANSWER:: x<-1 or you could also write it as x >/ 2

hope that helps.

Answer:

See below

Step-by-step explanation:

5) y = x + 7

6) y = -x + 1

This is a right triangle.  If the triangle were laid down, on an end, a right angle would be visible.

We are given that the width of of a rectangular painting is 83 cm and it's area is 7719 cm² and we are asked to find it's length , as we know that the area of a rectangular shape is given by L×B. Where L is the length of the rectangular shape and B is the width/Breadth .Now , applying the same concept in our question we have ;

[tex]{:\implies \quad \sf L\times 83=7719}[/tex]

[tex]{:\implies \quad \sf L=\dfrac{7719}{83}}[/tex]

[tex]{:\implies \quad \sf L=93}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Length=93\:\: cm}}}[/tex]

Answer:

Average speed = 80km

Step-by-step explanation:

[tex]AS = \frac{480km}{6} \\ AS = 80km[/tex]

as means average speed

Sipho travelled 480km in 6 hours -> In an hour, Sipho travelled 1/6 of the distance.

So, in an hour, Sipho travelled : 480 x 1/6 = 80km

In an hour, he travelled 80km -> his average speed is 80km/h

Answer:

(-1.25,-0.25).

Step-by-step explanation:

The length of the rectangle is 2.5 units. To find the point that is 2.5 units from (1.25,1), count 2.5 units to the left of the point. The x-coordinate will change and the y-coordinate will remain the same. This point is (-1.25,1).

The width of the rectangle is 1.25 units. To find the point that is 1.25 units from (1.25,1), count 1.25 units down from the point. The y-coordinate will change and the x-coordinate will remain the same. This point is (1.25,-0.25).

For a standard normal distribution, the approximate value of P(z≤0.42) is 66%.

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

In order to calculate the value of the P(z≤0.42), we need to check the value of 0.42 in the z-table, As the Z-table is already given and in the table, the value of z is 0.6628, therefore,

[tex]P(z\leq 0.42)\\\\=0.6628 \approx 66\\\\= 66\%[/tex]

Hence, For a standard normal distribution, the approximate value of P(z≤0.42) is 66%.

Learn more about Standard normal distribution:

https://brainly.com/question/25447725

Answer:

86% is correct

Step-by-step explanation:

Answer:kiran is 2 and Nabin is 4

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

using a calculator, you can do 5200/130000 and get 0.04

:)

Answer:

4%

Step-by-step explanation:

Given:

Present population = 130,000

Future population = 135,200

Find:

Increase in percent

Computation:

Increase in population = Future population - Present population

Increase in population = 135,200 - 130,000

Increase in population = 5,200

Increase in percent = [Increase in population / Present population]100

Increase in percent = [5,200/130,000] 100

Increase in percent = 4%

Answer:

I think it's 2/9 goodluck:)!!

Answer:d

Step-by-step explanation: it’s the same but reversed,on on the addition problem. Making it the same question