complete the solution of the equation.find the value of y when x equals 20. -2x + 4y=-4

Answer:

infinite solution

Step-by-step explanation:

hello

we substitute b = 4a + 2 in the second expression

12a -3*(4a+2) = -6

<=> 12a -12a -6 = -6

<=> -6 = -6

which is always true

so there is infinite solution

hope this helps

Answer:

y = 2x - 5

Step-by-step explanation:

Step 1: Find slope m

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

m = -4/-2

m = 2

y = 2x + b

Step 2: Find b

-1 = 2(2) + b

-1 = 4 + b

b = -5

Step 3: Rewrite equation

y = 2x - 5

Answer:

Step-by-step explanation:

The rectangle's are is 24cm²

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

(a)The cost of ordering 3 Custom T-shirts is $39.

The cost of ordering 3 Fancy T-shirts is $75

(b)15 T-Shirts

Step-by-step explanation:

(a)Let n be the number of T-Shirts ordered

Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.

Cost, C=15+8n

Therefore, the cost of ordering 3 Custom T-shirts

= 15+8(3)

=15+24

=$39

Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered

Cost, C=60+5n

Therefore, the cost of ordering 3 Fancy T-shirts

= 60+5(3)

=60+15

=$75

(b)We are to determine the number, n at which the costs, C will be equal.

If C=60+5n and C=15+8n are equal, then:

60+5n=15+8n

8n-5n=60-15

3n=45

n=15

Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

Step-by-step explanation:

1, vertical- axis intercept is the water at the beginning

3, she should have included the y-intercept and x-intercept of the linear function

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

Answer:

  Eva used a side dimension instead of the height.

Step-by-step explanation:

The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.

Eva multiplied the base by the side height, not the actual height.

Step-by-step explanation:

The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.

Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)

Answer:

Below

Step-by-step explanation:

a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.

So the equation for the first one is y = -(1/3)x

To find what x equals when going through the point (x, 4), plug in 4 for y and solve

y = -(1/3)x

4 = -(1/3)x

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

-12 = x

So, when y = 4, x = -12

b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.

This makes the second equation y = -4x

Then plug 4 in for y again, instead using -4 as the slope

y = -4x

4 = -4x

4/-4 = -4x/-4

-1 = x

This shows that when y = 4, x = -1

Answer:

61.5

Step-by-step explanation:

-3 (t-8)+1.5

-3 (-12-8)+1.5

-3 (-20)+1.5

60+1.5= 61.5

The value of expression will be;

⇒ - 58.5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3 | t - 8 | + 1.5

And, The value of t = - 12

Now,

The expression is,

⇒ - 3 | t - 8 | + 1.5

Put t = - 12, we get;

⇒ - 3 | - 12 - 8 | + 1.5

⇒ - 3 | - 20 | + 1.5

⇒ - 3 × 20 + 1.5

⇒ - 60 + 1.5

⇒ - 58.5

Thus, The value of expression will be;

⇒ - 58.5

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Answer:

x = 3.9

Step-by-step explanation:

x/1.5 = 2.6

Multiply both sides by 1.5

x/1.5 × 1.5 = 2.6 × 1.5

x = 3.9

Answer:  3.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

This quadratic is of the form

[tex]y=-a(x-h)^2+k[/tex] where h and k are the coordinates of the vertex. Notice that inside the parenthesis it very specifically follows the format (x - h)². That means that if you have something like what we have here, ( x + 3)^2, it was originally (x - (-3))^2, and the value for h is -3. k is much simpler to determine. Our 2 at the end is a +2, so the k is 2. The vertex then is (-3, 2).

Answer:

frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces

Step-by-step explanation:

since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz

Answer:

A, C, E, G

Step-by-step explanation:

Answer:

y= -5

y= -2

y= 1

y= 4

Step-by-step explanation:

plug in the values of x into the equation

The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.

A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.

The given linear equation is

[tex]y = 3x - 2[/tex]

The given values of [tex]x = - 1, 0, 1, 2[/tex].

For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]

For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]

For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]

For [tex]x = 2, y = 3(2) - 2 = 4[/tex]

Therefore, the table will be:

   x        y

 - 1      - 5

   0     - 2

   1        1

   2       4

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Answer:

.50

Step-by-step explanation:

32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.

Answer:

50

Step-by-step explanation:

so first do 32 divided by 64 then round it to the nearest 100.

Answer:

The coordinates of point P along the segment AB is (-1, 6).

Step-by-step explanation:

It is known that ratio of AP to PB is:

[tex]\frac{AP}{PB} = \frac{2}{3}[/tex]

Or vectorially speaking:

[tex]\overrightarrow{AP} = \frac{2}{3}\overrightarrow{PB}[/tex]

The vector that represents the segment AB is:

[tex]\overrightarrow{AB} = \vec B -\vec A[/tex]

If [tex]\vec A = (-7,4)[/tex] and [tex]\vec B = (8,9)[/tex], then:

[tex]\overrightarrow{AB} = (8,9)-(-7,4)[/tex]

[tex]\overrightarrow {AB} = (8+7,9-4)[/tex]

[tex]\overrightarrow{AB} = (15,5)[/tex]

But [tex]\overrightarrow{AB} = \overrightarrow{AP} + \overrightarrow{PB}[/tex], then:

[tex]\overrightarrow{AB} = \frac{2}{3}\overrightarrow{PB} +\overrightarrow{PB}[/tex]

[tex]\overrightarrow{AB} = \frac{5}{3}\overrightarrow{PB}[/tex]

[tex]\overrightarrow{PB} = \frac{3}{5}\overrightarrow{AB}[/tex]

[tex]\overrightarrow{PB} = \frac{3}{5}(15,5)[/tex]

[tex]\overrightarrow{PB} = \left(9, 3\right)[/tex]

The location of [tex]\vec P[/tex] is derived of this formula:

[tex]\overrightarrow{PB} = \vec B - \vec P[/tex]

[tex]\vec P = \vec B - \overrightarrow{PB}[/tex]

If [tex]\vec B = (8,9)[/tex] and [tex]\overrightarrow{PB} = \left(9, 3\right)[/tex], then:

[tex]\vec P = (8,9) - (9,3)[/tex]

[tex]\vec P = (8-9,9-3)[/tex]

[tex]\vec P = (-1, 6)[/tex]

The coordinates of point P along the segment AB is (-1, 6).

Answer:

B

Step-by-step explanation:

(a) Complete the table by substituting the values of x into y = x² - 4x

x | - 1  0    1     2  3  4  5

y |   5  0 - 3  - 4 - 3  0 5

Considering ordered pairs from the table

(0, 0 )

The only graph that passes through the origin is graph B

Graph B also goes through all the given points in the table

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

Equation of the line using point ( -1 , 2) and slope 3/2 is

Hope this helps you

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

Let's check :

Answer:

5th year= 9800

Step-by-step explanation:

1st year=15800

2nd=14300

3rd=12800

4th=11300

5th=9800

Answer:

406

Step-by-step explanation:

Five consecutive positive integers = x, (x+1), (x+2), (x+3), (x+4)

x + (x+1) + (x+2) + (x+3) + (x+4) = 2020

5x + 10 = 2020

5x = 2020-10

5x = 2010

x = 2010÷5

x = 402

The largest of the number is = x+4

x+4 = 402 + 4 = 406

Answer:

Plan II

Step-by-step explanation:

A certain county has 1,000 farms.

Corn is grown on 100 of these farms but on none of the others.

Since corn is grown on only 100 of these farms, the population of interest is the 100 farms on which corn is grown.

Therefore, a better method for estimating the total farm acreage of corn for the county is Plan II.

a) Identify the 100 corn-growing farms.

b) Sample 20 corn-growing farms at random.

c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval.

d) Multiply both ends of the interval by 100 to get an interval estimate of the total.

Answer:

Step-by-step explanation:

Original price,

Fare for 12 passengers = Rs 540

Fare for 1 passenger = [tex] \frac{540}{12} = 45[/tex]

Increased price,

Fare for 1 passenger = 45 + 5 = Rs 50

Let fare for X passengers be 750

[tex]x \times 50 = 750[/tex]

[tex]x = \frac{750}{50} [/tex]

[tex]x = 15[/tex]

Hence, 15 passengers can travel for Rs 750.

Hope this helps...

Good luck on your assignment..

Answer:

80º and 100º

Step-by-step explanation:

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer:

C

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 19 and h = 16 , thus

A = 0.5 × 19 × 16 = 152 yd² → C

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation: