Solve this system of equations using the multiplication method. Please show all work to receive credit. 5x - 2y = 30 2x + 4y = 24

Answer:

y=-8x+13

Step-by-step explanation:

you flip the m value

then you plug in the point (1,-5) to find b (y-intercept)

then you get 13.

The equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.

Slope of line is defined as the angle of line. It is denoted by m.

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Let the equation of line : y = mx + c

Given that, the line passing through the point (1,−5) and

The line perpendicular to y = 1/8x +2

To determine the slope of the perpendicular line,

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line that is perpendicular to the given line is

m×1/8 = -1

m = -8

Substitute the value of slope m in the first equation,

y = -8x + c

To determine  the equation of the line, substitute the found slope (-8) and the point (1,−5) into the point-slope form of a linear equation:

5 = -8(1) + c

-5 = -8 + c

c = -5 + 8

c = 3

So, the required equation of line : y = -8x + 3

Hence, the equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.

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Answer:

A approximation of 34 minutes and 30 seconds each day .

Step-by-step explanation:

First you would need to convert 4 hours to minutes , so 1 hour equals 60 minutes - 60 min = 1 hour, 60 min times 4 = 240 minutes in total. There are 7 days in total of the week, 240 minutes - 7 days of the week : 240 divided by 7 , equals a approaximation of 34 minutes and 30 seconds each day.

Answer:

D) 8 movies and 1 video game

Step-by-step explanation:

We are given that Lane has a gift card worth $300 for a local entertainment store.

Cost of 1 movie = $20

Cost of 1 video game = $50

In order to use the gift card, Lane must purchase at  least seven items

A) 01 movie and 6 video games

Cost of 1 movie = $20

Cost of 6 video game = [tex]50 \times 6 = 300[/tex]

Total cost = 300+20 = 320

Since Lane has a gift card worth $300 , So Lane could not purchase 01 movie and 6 video games using his gift card

B) 2 movies and 4 video games

We are given that she must purchase at  least seven items

So, She could not buy 2 movies and 4 video games

C)6 movies and 5 video games

Cost of 6 movie = [tex]20 \times 6 =120[/tex]

Cost of 5 video game = [tex]50 \times 5= 250[/tex]

Total cost = 250+120=370

Since Lane has a gift card worth $300 , So Lane could not purchase 06 movie and 5 video games using his gift card

D) 8 movies and 1 video game

Cost of 8 movie = [tex]20 \times 8 =160[/tex]

Cost of 1 video game = 50

Total cost = 160+50=210

So, she could purchase 8 movies and 1 video game

Answer:

the answer is 1/2

explanation:

the answer is 1/2 because 3 is in the middle of 1 through 6 so it would be 1/2

Answer:

Since you're asking how to find the value of x, you can use cosine, since the triangle is a right triangle.

Answer:

Only cosine include both hypotenuse and adjacent. We need both of them because those are 2 side that have numbers/letters.

So cos(28) = 11/x

Multiply by x

Then you'll get xcos(28) = 11

Do oposite cosine and you'll get

x = 11*opposite cos(28)

opposite cosine means cos^-1

thats approx. equal to 12.46 units

Answer:

1.

Step-by-step explanation: - (-3) should be a positive 3 when simplified. Whenever there is two negative sign in front of a number it is going to be positive.

The solution to the expression is A = 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the expression , we get

A = -2 + 5 - ( -3 )

On simplifying , we get

Step 1 :

A = -2 + 5 + 3

The - ( -3 ) becomes positive value and Amar made a mistake in Step 1

So , the value of A is

Step 2 :

A = -2 + 8

On simplifying the equation , we get

Step 3 :

A = 6

Therefore , the value of A is 6

Hence , the expression is A = 6

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Answer:

C 6 yd by 7 yb

Step-by-step explanation:

Answer: De ansa is A m African sista.

Step-by-step explanation:

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]

[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]

Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]

Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68

calculating the diference in interest between the two options we have

[tex]8411.58-8213.68= 197.9[/tex]= $197.9

Option A earns higher interest

Answer:3

Step-by-step explanation: 3(3)-4 =5

Area now is 5•5 equivalent to 25 :)

The value of x is 8.

Given that, the perimeter of a square is 3x-4 units, and the area of the square is 25 sq units, we need to find the value of x,

We know that the perimeter of the square = 4(sides)

Therefore,

4(sides) = 3x-4

sides = 3x-4 / 4

Now, the area = side²

= (3x-4 / 4)²

therefore,

(3x-4 / 4)² = 25

Taking the roots,

3x-4 / 4 = 5

3x-4 = 20

3x = 24

x = 8

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Answer:

the census

Step-by-step explanation:

this is when info about every member of population is collected

Answer:

2x+6

Step-by-step explanation:

Answer:

it is 3 bwooo thats the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 + ( - 4) = 3

If sign of two numbers is different, subtract and the result will take the sign of the bigger number.

Here the bigger number is 7 and the sign of 7 is positive. So result is 3

Answer:

50 feet

Step-by-step explanation:

[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]

Hope this helps!

Answer:

50

Because you just a

on the -20 is a abouloute number which its going to be a postive number so i add the 20 + 30

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3

===========================================================

Explanation:

For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.

The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.

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

Side notes:

Answer:

$21.90

Step-by-step explanation:

You say that in the question "the eighth book was $21.90". Please rephrase if that is not what you meant :)

Answer:

71 people per day for this qst

Answer:

the answer is actually A. 69.7

Step-by-step explanation:

i took the test a lot of times to get the answer

Answer:

It is a dilation. You know because when you see the shapes form left to right, the shape increases in size.

Answer:

linear pair postulate

Step-by-step explanation:

The linear pair postulate is the missing step.

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.

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Answer:

A. 1.0

B. 1.3

C. 2.2

D. 13.0

Answer:

B.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Malcolm's transformation:

First, the blue image is reflected about the line y=-5

Then it is rotated 180 degrees around the point (0,-5)

(you can have other options this is just one example)

Ursa's transformation:

The blue image is reflected about the y axis

(you can have other options this is just one example)

First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

First the blue image is translated

Then it is rotated 180° to get the red figure with coordinates (-x, -y)

Two transformation that is equivalent to a reflection

Hence, the two transformations are;

First the blue image with coordinates (x, -y) is translated to get (-x, -y)

Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.

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Answer:

the score that occurs most frequently

Statistics can not be determined from a box plot representing the scores on a math test is the score that occurs most frequently.

It displays the five-number summary of a set of data.

The five-number summary is

In a box plot, we draw a box from the first quartile to the third quartile.

A vertical line goes through the box at the median.

Therefore, the score that occurs most frequently is the correct answer.

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Answer:

Jason has 75 pencils.

Step-by-step explanation:

In order to get from 4 to 100, you must multiply by 25 (100/4 = 25). And in order to find the amount of pencils Jason has, you must have an equivalent ratio. So you have to also multiply 3 by 25, 3 * 25 = 75. Jason has 75 pencils.

Answer:

b goes 5 miles more than a, in 1 hour

Answer: 5 miles more than car A each hour

Step-by-step explanation: We have to look at each line carefully and the steepness as well as the numbers and we could clearly see that Car B thus travels 5 more miles than car A each hour!

Hope this helps <3

-Carrie

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Answer:

4x3 in exponential from is: (3) (3) (3) (3)

Step-by-step explanation:

As you can see, there are 4 groups of 3. It can also be the other way around.

3x4 = (4) (4) (4) There are 3 groups of 4

hope this helped :3

Answer:

4x3 in exponential form is 3*3*3*3

Step-by-step explanation:

Answer:

if the solution to the system is  1.5 and 2

Then the mistake was in line 2 the student should have subtracted the eqations instead of adding them.

Step-by-step explanation:

if y = 2

Then 8y -5y = 3y

4x -x = (4 = 1.5 x 2 2/3) =4   if x = 1.5

3y = 2 2/3 = 3   if y = 2

The ratio stays the same.

The student mistake was in line 2, the student forgot to multiply the

right side of the equation by 2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

2x + 5y = 13

-x + 4y = 13

The first steps are correct.

In second step the LHS and RHS both should be multiplied by 2.

So,

-2x + 8y = 26

But, the student only multiply 2 on the LHS side.

Hence, the student mistake was in line 2, the student forgot to multiply the right side of the equation by 2.

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Answer:

Both are equal in volume