13x - 6 = 8x + 19 solve for x

Answer:

y - int = 7

Step-by-step explanation:

y = -3/4x + 7

Answer:

i think the intercept is (0,7) im not sure, sorry if its not.

Step-by-step explanation:

The sum of the terms of the given sequence will be 648.

An arithmetic sequence or arithmetic progression is a sequence in which each term is created or obtained by adding or subtracting a common number to its preceding term or value.

The given sequence is representing an arithmetic sequence.

Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6

3 - (-3) = 3 + 3 = 6

Since last term of the sequence is 81.

By the explicit formula of an arithmetic sequence, we can find the number of terms of this sequence.

[tex]\rm T_n= a+(n-1)d\\\\[/tex]

Where a = first term of the sequence, d = common difference.

Substitute all the values in the formula

[tex]\rm T_n= a+(n-1)d\\\\ 81 = -9 + 6(n - 1)\\\\ 81+9 =6(n-1)\\\\90=6(n-1)\\\\ n-1=\dfrac{90}{6}\\\\n-1=15\\\\n = 15+1\\\\n=16[/tex]

Now we know the sum of an arithmetic sequence is represented by

[tex]\rm S_{16}=\dfrac{16}{2}[-9+(16-1)6]\\\\S_{16}=8 [-9+15\times 6]\\\\S_{16}=8 [-9+90}\\\\S_{16} = 8 \times 81\\\\S_{16}=648[/tex]

Hence, the sum of the terms of the given sequence will be 648.

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Answer:

The y axis is a vertical line

Step-by-step explanation:

Y axis is up

Step-by-step explanation:

A line can be translated over to form a line. Since the line has the same slope, the only thing different is y intercept. Since a Translation is a rigid transformation, they perseve distance. So this will be true for all lines.

Key Concept: The distance between two parallel lines and is the difference in y intercepts.

10. The y intercept is 7 and -2

So the distance is

[tex]7 - ( - 2) = 9[/tex]

or

[tex] - 2 - 7 = - 9[/tex]

Rember Distance is a scalar, so it is positve.

So we take absolute value of both answer

[tex] |9| = 9[/tex]

[tex] | - 9| = 9[/tex]

So the answer for 10 is 9.

11. The distance is 3 because |4-1|=3 or |1-4|=3 so the distance is 3.

12. The distance is 2

13.The distance is 8.

Answer:

A) SSS

Step-by-step explanation:

Two of the similarities are given to you. The last one will be the hypotenuse, which is congruent based on the reflexive property of congruence.

~

Answer:

9.42 years (= 113 months)

Step-by-step explanation:

Use the compound rate interest formula:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

[tex]\implies 7850=5000(1+\frac{0.048}{12})^{12t}[/tex]

[tex]\implies 7850=5000(1.004)^{12t}[/tex]

[tex]\implies \dfrac{7850}{5000}=(1.004)^{12t}[/tex]

[tex]\implies 1.57=(1.004)^{12t}[/tex]

Take natural logs:

[tex]\implies \ln1.57=\ln(1.004)^{12t}[/tex]

[tex]\implies \ln1.57=12t\ln(1.004)[/tex]

[tex]\implies t=\dfrac{\ln 1.57}{12 \ln1.004}[/tex]

[tex]\implies t=9.42\textsf{ years (nearest hundredth)}[/tex]

[tex]\implies t=113 \textsf{ months}[/tex]

Answer:

The number is 13

Step-by-step explanation:

To write the equation, we know that more than comes after

7 times a number

7n

more more than means add

7n+5

is means equals

7n+5 = 96

Subtract 5 from each side

7n+5-5 = 96-5

7n = 91

Divide each side by 7

7n/7 = 91/7

n =13

Answer:

$320

Step-by-step explanation:

If $38.40 is 12%, then 1% is 38.40 ÷ 12.

⇒ 1% = 38.40 ÷ 12 = $3.20

Simply multiply 3.2 by 100 to get 100%:

⇒ 3.2 x 100 = $320

Answer:

Step-by-step explanation:

[tex]Cos3A= Sin2A ........ (i)\\\\Cos3A= Cos (90-2A)\\\\3A= 90-2A\\\\5A= 90\\\\A= 18\\\\[/tex]

Now,

Putting the value of A to find the value,

[tex]From (i)\\Cos(3x18) = Sin (2x18)\\Cos54= Sin36\\0.5877= 0.5877 \\LHS=RHSProved .[/tex]

Answer:

Cos3A= Sin2A ........ (i)

Cos3A= Cos (90-2A)

3A= 90-2A

5A= 90

A= 18

from (i)

Cos(3×18) = Sin (2×18)

Cos54= Sin36

0.5877= 0.5877 proved .

Step-by-step explanation:

Step-by-step explanation:

the height from the right angle in a right-angled triangle is the square root of the product of the segments of the Hypotenuse the height is splitting it into.

so,

x = sqrt(7×9) = sqrt(63) = 3×sqrt(7)

Answer:

[tex]y= -\frac{1}{2}x+5[/tex]

Step-by-step explanation:

When lines are perpendicular to each other, the slopes are negative reciprocals.

The slope of line y=2x+11 is 2. The negative reciprocal of that is -1/2.

Next, plug in the x and y values so we can get b (y intercept).

[tex]3= -\frac{1}{2}(4)+b\\ 3=-2+b\\5=b[/tex]

Our equation is [tex]y= -\frac{1}{2}x +5[/tex]

Answer:

She completed 20% of her packet.

Step-by-step explanation:

30 of 150= 30/150

30 divided by 150 = 0.2

0.2 =20%

Hope this helps :)

Answer:

20%

Step-by-step explanation:

[tex]30\div150[/tex]

Calculate

[tex]\frac{30}{150}[/tex]

Cross out the common factor

[tex]\frac{1}{5}[/tex]

Multiply a number to both the numerator and the denominator

[tex]\frac{1}{5}\times\frac{20}{20}[/tex]

Write as a single fraction

[tex]\frac{20}{5\times20}[/tex]

Calculate the product or quotient

[tex]\frac{20}{100}[/tex]

Rewrite a fraction with denominator equals 100 to a percentage

20%

Answer:

A) No

Step-by-step explanation:

right triangles have 90 degree angles. this triangle does not have a 90 degree angle

Answer:

B

Step-by-step explanation:

(4 , 9) and (0, 5)

4 is x1, 9 is y1, 0 is x2, 5 is y2

formula:

slope = y2 - y1/ (underline is fraction line btw ;) )

             x2 - x1

5 - 9

0 - 4

So the answer is B

Answer:

(For the first two questions I do believe that you will need a protractor to calculate the angles.)

15) [tex]-(\frac{7\pi }{18} )\\[/tex] measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)

The first image attached shows where the angle should be located.

16) [tex]\frac{\pi }{3}[/tex] is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))

17) 350° is [tex]\frac{35\pi }{18}[/tex] or 6.11 (the answer depends on the format the professor wants.)

18) 240° is [tex]-(\frac{4\pi }{3})[/tex] radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)

Answer:

nonlinear increasing

Step-by-step explanation:

Answer for x should be 7

x = 7

Step-by-step explanation:

Hi there! if you don't understand any part make sure to ask me :D

Let's create one by one

Product of b and 256 means multiplication

Plus 17 means addition

Now combine to firm expression

Answer:

see attached diagram

Step-by-step explanation:

If the kite starts on the ground, then the beginning point of your graph will be (0, 0) since when time = 0, height of the kite = 0.

If it ascends slowly into the sky, then as time passes, its height increases.

So you will draw a straight line with a positive gradient from (0, 0).

As it ascends slowly, the gradient needs to be small.

If it flies at the same altitude (height) for about 10 minutes, this means that the height stays the same, so you will draw a horizontal line to show this.

The if it quickly drops to the ground, draw a line with a large, negative gradient to a point on the x-axis (as height = 0)

Answer:

i believe its a

Step-by-step explanation:

Collision is the type of insurance can be waived (refused) if a driver feels that his/her car is not worth insuring.

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury.

Collision insurance covers the cost of repairing or replacing a driver's car if it is damaged in an accident.

It is typically optional and not required by law.

If a driver feels that the value of their car is low and that the cost of collision insurance is not worth the potential benefit, they may choose to waive (refuse) this type of coverage.

Comprehensive insurance covers damage to a driver's car from causes other than an accident, such as theft, vandalism, or natural disasters. Liability insurance covers damages and injuries that a driver causes to others in an accident.

Uninsured motorist insurance covers damages and injuries to a driver if they are hit by an uninsured or underinsured driver.

Hence, collision is the type of insurance can be waived (refused) if a driver feels that his/her car is not worth insuring.

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Answer:

(3x+2)(3x−2)

Step-by-step explanation:

a^2−b^2=(a+b)(a−b)

where a=3x and b=2

(3x+2)(3x−2)

D.

[tex]22 - 8 \sqrt{5} [/tex]

Answer: 3.5 ft cubed.

Step-by-step explanation:

width*length*height Multiply all the numbers to find the volume.

It will be easier to change the fractions to decimals first.

The graph shifts 7 units right and 2 units down

Step-by-step explanation:

When p<0 it shifts to the left hence it has shifted 7 units to the right.

When q<0 it shifts down so hence it has shifted 2 units down

Answer:

0

Step-by-step explanation:

1. Distribute:  6x-12 - 6x+12

2. Combine like terms:  0

Answer:

0

Step-by-step explanation:

First you want to do distributive properties, so multiply 2 and -4 by 3. leaving you with 6x-12-6x+12. then we have to combine all the like terms. so you can either add 6x to the negative 6x or take away 6x from the positive 6x. Same with the 12's. so once you've combined all the like terms you should be left with 0. Thus, your answer would be 0.

Answer:

so

Step-by-step explanation:

it is 5 pounds your welcome

The bigger measurement is 5 lbs.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given two measurements.

75 ounces and 5 lbs.

We have the conversion formula,

1 lbs = 16 ounces

5 lbs = 5 × 16 = 80 ounces

80 ounces is greater than 75 ounces

5 lbs is greater than 75 ounces.

Hence the measurement which is bigger is 5 lbs.

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Answer:

Step-by-step explanation:

Area = s^2 =

New Area = (S- 6)(S+6) = S^2 -36, Choice (A)

Hope that helps!