Graph the line that passes through the points (0, -5) and (5, 1) and
determine the equation of the line.
y
10
9
00
7
6
5
4

-1/3x-4/3y=2

1/3x-2/3y=4

First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition

Adding the two equations together gets

-6/3y=6

Simplify

-2y=6

y=-3

Substitute back into original equation

1/3x-2/3(-3)=4

1/3x+2=4

1/3x=2

x=6

Answer

x=6, y=-3

Check answer

-1/3(6)-4/3(-3) =?= 2

                -2+4=2

                     2=2

Done!

Answer:

the square root of 55, or 7.42

Step-by-step explanation:

Use the Pythagorean Theorem, or  a²+b²=c², where a and b are the sides or "legs" of the triangle and c is the hypotenuse.

a is 3, b is x, and c is 9

If you plug that into the equation, you get 3²+x²=8²

We can make this 9+x=64 by squaring the 3 and 8.

Then we can subtract 9 from each side to get x=55.

Finally, take the square root of 55 to get √55 or 7.42.

I hope this helped!

Answer:  3 blocks

Step-by-step explanation:

18/6=3

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The pair having like terms is ' A '

It has both terms of x, I.e 20x and 0.8x

Answer:

3/4

Step-by-step explanation:

The smallest number that makes 9 is three the smallest number that makes 12 is 4 because it cant go below 3

Answer:

3/4

Step-by-step explanation:

Both numbers can be divided by three.

9 divided by 3 is 3 and since the 9 was the numerator the three becomes your new numerator.

12 divided by 3 is 4 and since 12 was the denominator the four becomes your new denominator.

Hope this helps! Good Luck!

Answer:

1

 [tex]B  =  7.07 \  cm[/tex]

2

[tex]A  =848.4 cm^2 [/tex]

3

[tex]A_T  = 948.37 \  cm^2 [/tex]

Step-by-step explanation:

From the question we are told that  

   The lateral edge of a square prism is  [tex]d = 30 \ cm = 0.3 \ m[/tex]

    The angle of inclination is  [tex]\theta = 70^o[/tex]

    The volume of the prism is  [tex]V = 1500\ cm^3[/tex]

Generally the base of the prism is mathematically represented as

     [tex]B  =  \sqrt{\frac{V}{ d} }[/tex]

=>   [tex]B  =  \sqrt{\frac{1500}{ 30} }[/tex]

=>   [tex]B  =  7.07 \  cm[/tex]

Generally the lateral  area of the prism is mathematically represented as

       [tex]A  = 4 *  B  *  d[/tex]

=>     [tex]A  = 4 *  7.07  *  30 [/tex]

=>     [tex]A  =848.4 cm^2 [/tex]

Generally the total area of the prism is mathematically represented as

     [tex]A_T  =  2 * B  + A[/tex]

=>   [tex]A_T  =  2 * (7.07)  + 848.4[/tex]

=>   [tex]A_T  = 948.37 \  cm^2 [/tex]

Answer:

a = 2 , b = - 7 , c = - 8

Step-by-step explanation:

expand and simplify the left side then compare the coefficients of like terms on both sides.

(2x + 3)(x - 5) + 7 ← expand factors using FOIL

= 2x² - 10x + 3x - 15 + 7 ← collect like terms

= 2x² - 7x - 8

compare to ax² + bx + c , then

a = 2, b = - 7 , c = - 8

Answer:

y = x - 10

Step-by-step explanation:

slope - intercept form: y = mx + b

y2 - y1         -4 - ( -8 )            4

---------   =   -------------   =   --------   =   1

x2 - x1           6 - 2               4

---------------------------------------------------------

y = mx + b

y = 1x + b

pick whichever point you want to use, for this I'll use (2, -8)

-8 = 1( 2) + b

-8 = 2 + b

-2   -2

-10 = b

y = 1x - 10 or y = x - 10

I hope this helps!

Answer:

8,000

Step-by-step explanation:

8 x 10 x 10 x 10

8 x 1,000

8,000

Hope that helps!

Answer: A) no solution

Step-by-step explanation:

1) 7x-3x+3=4x+6

2) 4x+3=4x+6

3) 3 is not equal to 6, so no solution

There is no solution of the given equation.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation is;

7x - 3 (x - 1) = 2(2x + 3)

Now, Solve the equation for x as;

7x - 3(x - 1) = 2(2x + 3)

7x - 3x + 3 = 4x + 6

4x + 3 = 4x + 6

Subtract 4x both side;

3 = 6

Clearly, 3 is not equal to 6.

So, There is no solution of the equation.

Learn more about the equation visit:

https://brainly.com/question/11722410

#SPJ5

Answer:

18

Step-by-step explanation:

To find volume you have to use the formula (length x width x height.)

So by looking at it you can see that it's 3 units long, 3 units in wide, and 2 units tall. Knowing that, you then plug in those numbers to the formula. That would be 3x3x2. Any calculator will work.

Step-by-step explanation:

I guess, she is checking how FAR she runs each day (and not how fast ...).

how many more miles did she run on Friday ?

we get this by calculating the difference between the 2 values. that is what subtraction is for.

7 2/8 - 3 3/4

as long as we have the numbers as combination of full and fraction numbers, we can subtract the full numbers right away.

7 2/8 - 3 3/4 = 4 2/8 - 3/4

now we convert both numbers to full fractions :

4 2/8 - 3/4 = (32 + 2)/8 - 3/4 = 34/8 - 3/4

and then we bring both fractions to the same denominator, in this case 1/8 :

34/8 - 3/4 = 34/8 - 3/4×2/2 = 34/8 - 6/8 = 28/8

now we can simplify

28/8 = 7/2 = 3 1/2

so, she ran 3 1/2 miles more in Friday than on Tuesday.

FYI

I just wanted to show you the full formal flow of such a calculation.

but we could have gotten the result quicker by recognizing that we can simplify the numbers already at the beginning :

7 2/8 - 3 3/4 = 7 1/4 - 3 3/4 = 4 1/4 - 3/4 = 3 2/4 = 3 1/2

Answer:

=268 cm²

Step-by-step explanation:

S=(4×10+4×5+5×10)×2×6×4=268cm²

The surface area of the composite figure = the surface area of the bottom cuboid + the flank area of the top Cuboid

Answer:

95. So basically it's the last option. :,)

Step - Step Explanation:

10² - 2* 8 + 11

100 - 2*8 + 11

100 - 16 + 11

84 + 11

= 95.

The couple will make a loss of $0.10 per share.

In order to determine the loss per share, the average total investment would be subtracted from the NAV. If the NAV is greater than the average total investment, the couple make a profit, if this is not the case, the couple would make a loss.

Average total investment = $8722 / 280 = $31.15

Loss = $31.05 - $31.15 = $-0.10

To learn more about profit, please check: https://brainly.com/question/1494270

Answer:

loss of $0.10 per share

Step-by-step explanation:

EDGE 2020

Answer: 224 ounces are in 14 pounds

Step-by-step explanation:

1 pound = 16 ounces

*14            *14

14 pounds = 224 ounces

Answer:

If you  look it up it should be there

Step-by-step explanation:

google :\

Answer:

Step-by-step explanation:

Perimeter of a square = 4 * Length of the square

Given

Length of a square = 4y + 7

Perimeter of the square = 4(4y+7)

Open the parenthesis

Perimeter of the square = 4(4y)+4(7)

Perimeter of the square = 16y + 28

Hence the perimeter of the square is 16y+28

let's take a peek at the equation above

[tex]x-3=-6\implies x = -3\qquad \impliedby \textit{a vertical line}[/tex]

Check the picture below, there's no slope-intercept form per se for a horizontal line, unless you'd want to give it a slope of 0 and write it as y = 0x - 4.

Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we  need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure [tex]y[/tex] is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have [tex]-\frac{1}{2} y[/tex] so we have to divide both sides by [tex]-\frac{1}{2}[/tex] to get [tex]y=-12x -20[/tex]

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or [tex]m[/tex] in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

Answer:

6

Step-by-step explanation:

Answer:

The answer is 6.

Step-by-step explanation:

5x6=30, and 8x6=48. Hope this helps!

Answer: C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

39.375 minutes

formula's:

distance = speed * time taken

time taken = distance/speed

speed = distance/time taken

here given:

solve for distance:

1st Street to the Boston Eatery distance is 26.25 miles, which is constant.

If speed changes to 40 mph.

To save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.

An emergency fund is a safety net used specifically to cover basic living expenses for at least 6 months in case future mishaps or unexpected expenses arise.

Financial experts generally recommend six months of basic living (fixed) expenses to put away in an emergency fund.

The amount to save in the emergency fund = $3,753.79 ($2,085.44 x 30% x 6)

50% of discretionary monies = $729.90 ($2,085.44 x 1 - 30%) x 50%

Months to save $3,753.79 saving $729.90 = 5 months ($3,753.79/$729.90)

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund.

How many months will it take to fully fund it, excluding interest accrual?

Thus, o save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.

Learn more about discretionary expenses and emergency funds at https://brainly.com/question/422550

Answer:

To calculate this, we first need to find the amount of discretionary money left after paying fixed expenses:

Discretionary money = Realized income - (Fixed expenses as a percentage of realized income)

Discretionary money = $2,085.44 - (30% x $2,085.44)

Discretionary money = $2,085.44 - $625.63

Discretionary money = $1,459.81

We want to put 50% of this toward the emergency fund each month, so:

Emergency fund contribution per month = 50% x $1,459.81

Emergency fund contribution per month = $729.91

To find out how many months it will take to fully fund the emergency fund, we divide the total amount needed by the monthly contribution:

Number of months = (Total amount needed) / (Emergency fund contribution per month)

Number of months = $18,292.65 / $729.91

Number of months = 25.06

Rounded up to the nearest whole month, it will take 26 months to fully fund the emergency fund.

Therefore, the answer is:

26 months

Answer:

final price $42,624

price decrease $5376

Step-by-step explanation:

multiply 11.2 percent by 48000 and then get the answer from that and subtract from total

Decrease:-

[tex]\\ \rm\Rrightarrow 0.112(48000)[/tex]

[tex]\\ \rm\Rrightarrow 5376\$[/tex]

New price:-

[tex]\\ \rm\Rrightarrow 48000-5376[/tex]

[tex]\\ \rm\Rrightarrow 42624\$[/tex]

Answer:

x = 45

(2x-10) = 80

x+10 = 55

Step-by-step explanation:

so, make an equation to find x:

x+2x-10+x+10 = 180

collect like terms

4x = 180 (divide both sides by 4)

x = 45

sub into the formulas:

x- 10 = 45+10 = 55

2 × 45 - 10 = 80

add them together to see if it is correct:

45 + 55 + 80 = 180

Answer:

Step-by-step explanation:

156 minutes

2 hours 36 minutes is how long it take Gwen!