The line perpendicular to y=-3x+4 that passes through the point (-3,-7)

Answer:

y = [tex]\frac{3x -6}{5}[/tex]

Step-by-step explanation:

3x - 5y = 6 ( subtract 3x from both sides )

- 5y = - 3x + 6 ( multiply through by - 1 )

5y = 3x - 6 ( divide both sides by 5 )

y = [tex]\frac{3x-6}{5}[/tex]

Answer:

Step-by-step explanation:

Find the amount of increase:

Find the percent value of the increase over the initial price:

Answer:

AC= 3.2

Step-by-step explanation:

two trianglesare similar

so AC : BC = DF : EF

AC : 4 = 3:2.4

4×3.2 = AC×4

12.8=4×AC >>>> (÷4) both sides

3.2= AC

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

12x+36>4x−8

Step 2: Subtract 4x from both sides.

12x+36−4x>4x−8−4x

8x+36>−8

Step 3: Subtract 36 from both sides.

8x+36−36>−8−36

8x>−44

Step 4: Divide both sides by 8.

8x/8 > -44/8

Therefore your answer will now equal  [tex]x > \frac{-11}{2}[/tex]

[tex]{ \boxed{ \pink{ \sf{x > - \frac{11}{2}}}}}[/tex]

Step-by-step explanation:

The given inequality is, [tex]{ \green{ \sf{12(x + 3) > 4x - 8}}}[/tex]

[tex]{ \star}[/tex]Step 1: Simplify both the sides of inequality.

[tex]{ \green{ \sf{12x + 36 > 4x - 8}}}[/tex]

[tex]{ \star}[/tex]Step 2: Now Subtract 4x from both sides.

[tex]{ \purple{ \sf{12x+36−4x> { \cancel{4x}−8{ \cancel{−4x}}}}}}[/tex]

[tex]{ \purple{ \sf{8x+36>−8}}}[/tex]

[tex]{ \star}[/tex]Step 3: Subtract 36 from both sides.

[tex]{ \blue{ \sf{8x+{ \cancel{36}{ \cancel{−36}}}>−8−36}}}[/tex]

[tex]{ \blue{ \sf{8x>−44}}}[/tex]

[tex]{ \star}[/tex]Step 4: Divide both sides by 8.

[tex]{ \orange{ \sf{ \frac{ \cancel8}{ \cancel8} x > - \frac{ \cancel{44^{ \blue{ \tt{11}}}} }{ \cancel8_{ \blue{ \tt{2}}} }}}} [/tex]

[tex]{ \boxed{ \red{ \sf{x > - \frac{11}{2}}}}} [/tex]

Answer:

a. 11

Step-by-step explanation:

What is the mode of the following numbers?

12, 11, 14, 10, 8, 13, 11, 9

a. 11

b. 10

C. 14

d. 8

the mode is 11 because it is the most frequent number in the list.

Two yellow marbles are added to the bag to make the probability of choosing a yellow marble 1/3 .

There is a bag containing five green marbles, three red marbles, and four blue marbles and four yellow marbles.

The probability that a given event will happen is expressed as a number between 0 and 1 where 0 means there is no chance of the event occurring and 1 means that the outcome is certain.

There are a total of 16 marbles in the bag (5 + 3+ 4+4 = 16). This means that the probability of drawing a marble of a particular color is the number of marbles of that color divided by the total number of marbles in the bag.

Let ‘x’ number of additional yellow marbles be added to the bag.

Then, the required probability will be

(4 + x )/ (16+x ) = 1/3

=> 3(4+x) =16 +x

=> 12+3x = 16+x

=> 2x =4

=> x= 2

Hence, the required number of marbles is 2.

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Given the credit card options:

• Chase Sapphire Reserve

• Wells Fargo Propel Card

• American Express Blue Cash Everyday

• Citi Double Cash Card

• Chase Freedom

• Chase Amazon Prime Rewards Card

• Bank of America Cash Rewards Visa

• American Express Platinum

Then, there are 8 options.

If you want to apply for 3 credit cards and the order does not matter, you can use combination to see how many options you have.

The formula for combination of r elements out n elements is:

In this question:

n = 8

r = 3

Answer: 56 ways.

Answer:

the answer is 2 and one fourth

Step-by-step explanation:

because the 3s cancel out

Answer:

B C and D

Step-by-step explanation:

Answer:

2π=6.2831853071795864769252867

20 shares purchased at $30, means that the initial inversion is 20 times 30 = $600

they are sold for $710, so the difference is 710 - 600 = 110

the commision is 6, so the final gain is 110 -6 =104

profit divided by the inversion:

104/600 = 0.1733

the answer is 17.33 %

The coordinates of the rotated triangle will be (2, - 2) , (3, -8) , (7, 0)

Function translation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape.

Given is a triangle coordinate on x - y plane.

The rule (x, y) → (- x, - y) represents the rotation of a figure by 180 °.

Now, initially the coordinates of the triangle are -

(-2, 2) , (-3, 8) , (-7, 0)

After transforming the graph by the rotation of 180°, the new coordinates will be -

(2, - 2) , (3, -8) , (7, 0)

Plot the coordinates on the graph and you will get the rotated image.

Therefore, the coordinates of the rotated triangle will be (2, - 2) , (3, -8) , (7, 0).

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The percent of the people surveyed were completely satisfied with the car is 55%.

Number of people completely satisfied = 1155

Number of people somewhat satisfied = 755

Number of people not satisfied = 190

Total number of people = 1155 + 755 + 190 = 2100

Therefore, the percent of the people surveyed were completely satisfied with the car will be:

= Number of people completely satisfied / Total number of people × 100

= 1155 / 2100 × 100

= 55%

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Working 32 hours a week will fetch you $818

From the question, the given parameters are:

Number of hours = 160

Earnings in a month = $4090

Start by calculating the unit rate

This is calculated using the following unit rate formula

So, we have

Unit rate = Earnings in a month/Number of hours

Substitute the known values in the above equation

So, we have

Unit rate =  4090/160

Evaluate the quotient

Unit rate =  25.5625

For 32 hours, the total earnings is

Total = Unit rate x Number of houts

So, we have

Total = 25.5625 x 32

Evaluate

Total = 818

Hence, you will earn $818 weekly

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The sum of  -1  and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.

First we will convert the mixed fractions into improper fractions.

-1 and 3/4 = -7/4

2 and 1/2 = 5/2

Sum of -1 and 3/4 and 2 and 1/2 = -7/4 + 5/2 = -7/4 + 10/4 = 3/4

Difference between  2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4

As both the values equal to 3/4 , we can say that the sum of  -1  and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.

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Answer:

y = 0.5x^2 + 1.5x − 5

Step-by-step explanation:

See attached graph

We have the expression:

Adding the parts with x and the parts without x we have:

Wich gives us:

Wich is a polinomial of first degree.

Answer:

25 bricks

Step-by-step explanation:

Calculate the volume of one brick:

Volume = (11')(8")(5") = 440 in^3

Divide the volume of a one brick into the volume of concrete that will be used:

(11000 in^3 concrete)/(440 in^3 concrete/brick) = 25 bricks

Answer:

D

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 8 = 8π

Answer: C=2pir or diameter(pi)

Step-by-step explanation:

The diameter of a circle stretches from one side to the other, the Radius (r) goes from the center to the side meaning it is twice the diameter.

To solve this just half the diameter and insert it into the first equation or just plug it in for diameter.

The answer is

D. 8pi

This is an example of a geometric distribution with success probability p=0.102

The expected number of rolls is 10.

This is an example of a geometric distribution with success probability p=0.102 The expected value of the random variable of a geometric distribution is 1/p=1/0.102=9.80

Therefore, the expected number of rolls is 10.

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Explanation

We are asked to determine if the question is a continuous or discrete data set

The discrete data set is a data set that can be counted

Continuous data set are data that can be measured

For the given question, the answer will be option A

Answer:

You would do 9 x 3 first.

Step-by-step explanation:

PEMDAS. There is subtraction and multiplication, and multiplication is before subtraction.

P- Parenthesis

E- Exponent

M- Multiplication

D- Division

A- Addition

S- Subtraction

 Hope this helps!!! 〜(￣▽￣〜)

Explanation

Step 1

the sum of the internal angles in a triangle equals 180, then

for triangle CDE

Step 2

as we can see, in poitn c, we have a 180 degrees angle(ACD)

so

I hope this helps you

2x+32+x = 17

Combine 2x and X to get 3x.

3x+32 = 17

Subtract 32 on both sides.

3x = 17−32

Remains 32 of 17 to obtain −15.

3x = −15

Divide both sides by 3.

x = -15/3

Divide −15 by 3 to get −5.

x = −5

The value of x after solving the given equation 2x + 32 + x = 17, is x = -5, which is the last option.

Given an equation:

2x + 32 + x = 17

It is required to find the value of x after solving or simplifying the equation.

In order to get the value of x, the equation has to be solved in such a way that the terms with the variable have to be placed on one side and the constant terms on the other side.

Consider:

2x + 32 + x = 17

Add x and 2x since they are like terms in variables.

3x + 32 = 17

Subtract 32 from both sides of the equation.

3x = 17 - 32

3x = -15

Divide both sides of the equation by 3.

x = -5

Hence, the value of x is -5.

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Answer:1:40

Step-by-step explanation:

the answer should be 1:40

Answer: y = 15

Step-by-step explanation:

Combine multiplied terms into a single fraction

-6 = -2y/5

Then, multiply both sides by 5 to get:

-30 = -2y

Last, you divide both sides by -2 to get:

15 = y or y = 15

Hope this helps!

Draw of a modelled object

Answer:

The equation in slope-intercept form is:

[tex]y=\frac{1}{3}x+3[/tex]

So the second option is the correct one.

Step-by-step explanation:

Step 1: Identify the gradient

The perpendicular line's equation is given as:

[tex]y=-3x+4[/tex]

This equation is in the form of:

[tex]y=mx+b[/tex]

Upon comparing the [tex]x[/tex] components of both equations, we get[tex]-3x=mx\\\text{Remove the}~ x~ \text{from both sides:}\\-3=m\\m=-3[/tex]

So, the gradient of this 'reference' equation is -3.

The equation we need to find is perpendicular to this 'reference' equation.

So, its gradient should be the negative reciprocal of the gradient of the 'reference' equation.

The negative reciprocal of -3 is:

[tex]-\frac{1}{(-3)}\\=\frac{1}{3}[/tex]

So, the gradient of our equation is [tex]\frac{1}{3}[/tex].

Step 2: Create the equation:

The equation crosses the x-axis at -9, which means its y-coordinate is 0 (at x-axis, y=0) ,so its coordinate is [tex](-9,0)[/tex].

The formula for an equation is:

[tex]y-y_{1}=m(x-x_{1})[/tex]

The coordinate [tex](x_{1},y_{1})[/tex] is [tex](-9,0)[/tex], and the gradient ([tex]m[/tex]) is [tex]\frac{1}{3}[/tex].

Substitute the values into the equation:

[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{3}(x-(-9))\\\\\text{Simplify}\\y=\frac{1}{3}(x+9)[/tex]

[tex]\text{Simplify further}\\y=\frac{1}{3}x+3[/tex]

Since, the slope-intercept form is:

[tex]y=mx+b[/tex]

We already have our equation in the slope-intercept form.