Which first step for solving the given system using substitution results in an equation without fractions?

Answer:

k=1.96875

Step-by-step explanation:

126=2x32xk

126=64xk

126/64=k

1.96875=k

Answer:

Step-by-step explanation:

n = -14

(x^3)(x^−17) =

x^(3 - 17) =

x^-14

Answer:

to find the line you must find x and y

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}x&-6&0\\y&0&3\end{array}\right][/tex]

graph the line using slope and y intercept

slop:1/2

y-intercept:3

find the values of mx and b

[tex]m=\frac{1}{2}\\b=3[/tex]

find x intercept

[tex]0=\frac{x}{2}+3[/tex]

re wright the equasion

[tex]\frac{x}{2}+3=0[/tex]

subtract 3

[tex]\frac{x}{2} +3-3=0-3[/tex]

[tex]\frac{x}{2}=-3[/tex]

multiply by 2

[tex]*2\frac{x}{2}=-3*2[/tex]

x intercept = -6

now find y intercept

[tex]y=\frac{0}{2}+3[/tex]

divide by 2

[tex]y=0+3[/tex]

add 0 and 3

y=3

create a table of x and y [tex]\left[\begin{array}{ccc}x&-6&0\\y&0&3\end{array}\right][/tex]

graph the line using y-intercept and slope

so your answer is (-6,3)

Answer:

x < 1

Step by step explanation:

10 + 4x < 14

4x < 14 -10

4x < 4

x < 1

When you graph it on a number line, draw a line that extends from 1 towards the left side (since x is less that 1) and use unshaded circles.

Answer:

The solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]2x\:+\:2y\:+z\:=\:7[/tex]

[tex]-x-\:y\:+z\:=\:-5[/tex]

[tex]x+3y-4z=12[/tex]

solving the system of the equations by the elimination method

[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]-2x-2y+2z=-10[/tex]

[tex]+[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]3z=-3[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]2x+6y-8z=24[/tex]

[tex]-[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]4y-9z=17[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]

Rearranging the equations

[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]

solve [tex]3z=-3[/tex] for z:

[tex]z=-1[/tex]

[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]

solve  [tex]4y-9\left(-1\right)=17[/tex] for y:

[tex]4y-9\left(-1\right)=17[/tex]

[tex]4y+9=17[/tex]

[tex]4y=8[/tex]

[tex]y=2[/tex]

[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]

solve [tex]2x+2\cdot \:2-1=7[/tex] for x:

[tex]2x+2\cdot \:2-1=7[/tex]

[tex]2x+3=7[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Therefore, the solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

Answer:

you look at the numbers and add the other numbers.

Step-by-step explanation:

Answer:

1) The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is;

3·x + 6·y = 24

2) The equation in slope and intercept form is;

y = 4 - 0.5·x

Step-by-step explanation:

1) The given parameters are;

The amount of protein Tommy wants to eat for breakfast = 24 grams

The quantity of protein in a slice of bacon = 3 grams

The quantity of protein in an egg = 6 grams

Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat

The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is given as follows;

3·x + 6·y = 24

2) The equation in slope and intercept form is given by making y the subject of the above equation as follows;

3·x + 6·y = 24

6·y = 24 - 3·x

y = 24/6 -1/2·x

y = 4 - 0.5·x, which is in the slope and intercept form y = m·x + c

Where;

m = The slope = -0.5

c = The y-intercept = 4

Answer:

A ( SAS )

Step-by-step explanation:

Answer:

Area of ΔDEF is 2.25 times the area of ΔABC.

Step-by-step explanation:

Since, ΔDEF is the enlarged form of ΔABC,

Scale factor = [tex]\frac{\text{Side length of triangle ABC}}{\text{Corresponding side length of image triangle}}[/tex]

                    = [tex]\frac{15}{10}[/tex]

                    = 1.5

Since, ratio of the areas of image and preimage triangles = (Scale factor)²

[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}[/tex] = (Scale factor)²

[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}=(1.5)^2[/tex]

Area of image ΔDEF = 2.25(Area of ΔABC)

Therefore, area of ΔDEF is 2.25 times the area of ΔABC.

Answer:

3cm i think

Step-by-step explanation:

Answer:1222

Step-by-step explanation:

this is why this the answer

Answer:

1. -32

2. -46

Step-by-step explanation:

1. When muliplying a number with a postive number and a negative number the answer will be a negative number

2. When you have a negative number and when  you have a postive number and you are subtracting your answer has to be a negative answer

Answer:

cvgbnm,m

Step-by-step explanation:

bxxcvn vn

Answer:

it's B ==35

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A because u know its not 60 bc its already there and 35 would be to big also it cant be 155 bc that is way to big for that angle

Answers:

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

Explanation:

The largest exponent term is what will go first. Then the term with the second largest goes next, and so on. We count the exponents down. The exponents will count down in this case as 5, 3, 1, 0

Note: -9 = -9*1 = -9m^0 and -11m = -11m^1

So that's why standard form is [tex]\frac{3}{5}m^5 + 7m^3 - 11m-9[/tex]

We can write this as (3/5)m^5 + 7m^3 - 11m - 9

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

The leading term is the first term after getting everything in standard form. The coefficient of the leading term is the leading coefficient. So in this case, it would be 3/5.

The degree is the largest exponent. So the degree is 5. This is a quintic polynomial.

Answer: See explanation

Step-by-step explanation:

1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?

The time spent on each subject will be the remaining hours left divided by 7. This will be:

= 5 3/5 ÷ 7

= 28/5 ÷ 7

= 28/5 × 1/7

= 28/35 = 4/5 hours

Since 60 minutes make one hour

4/5 hours = 4/5 × 60 = 48 minutes

2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?

This will be:

= 6 3/4 ÷ 2 1/4

= 27/4 ÷ 9/4

= 27/4 × 4/9

= 3 boxes

3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each.

Joana ribbon = 12 1/4 meters

Joy's ribbon = 12 1/4 - 3 = 9 1/4 meters

We then add both length of ribbons and divide by 2. This will be:

= 12 1/4 + 9 1/4

= 21 1/2 meters

= 21 1/2 meters ÷ 2

= 43/2 ÷ 2

= 43/2 × 1/2

= 43/4

= 10 3/4 meters

Answer:

0.3495.

Step-by-step explanation:

............................

Answer:

B

Step-by-step explanation:

big line= divide

[tex]-2 1/4 to improper = -9/4\\/ -2/3[/tex]

so -9/4 / -2/3 or

B

Hope this helps :D

Answer:

B!

Step-by-step explanation:

if you calculate the original expression given you get [tex]3\frac{3}{8}[/tex] so i just went down the line calculating the rest of the equations and B was the one equivalent to the original expression! hope this helped.

Answer:

Step-by-step explanation:

Plug in the stated values for x

(a) 2(1)^4 + 3(1)^3 - (1)^3 + 2(1) - 3

   2 + 3  - 1 + 2 - 3 = 1 + 2 = 3

  f(1) = 3

(b) 2(-1)^4 + 3(-1)^3 - (-1)^2 + 2(-1) - 3

2 * 1 + 3(-1) - 1 + 2(-1) - 3

2 + -3 -1 -2 - 3 = 2 - 9 = -7

f(-1) = -7

(c) 2(0) + 3(0) - 0 + 0 - 3

0 - 3 = -3

f(0) = -3

d) 2(-1/2)^4 + 3(-1/2)^3 - 2(-1/2) - 3

1/8 - 3/8 - (-1/2)^2 - 2 * 1/2 - 3

16/4 - 1/4 - 1/4 = -16-1-1/4 = -18/4

f(-1/2) = -9/2

Answer:

The coordinates of Good after dilation will be (-1/3,1)

Step-by-step explanation:

Here, we want to get the coordinates of the point G after dilation

Mathematically, that would be having 1/3 multiply the coordinates of G

G’ = 1/3 (-1,3)

G’ = (-1/3 , 1)

Answer:

have:

[tex]\frac{sin}{1-cot}+\frac{cos}{1-tan}\\\\=\frac{sin}{1-\frac{cos}{sin} }+\frac{cos}{1-\frac{sin}{cos} }\\\\=\frac{sin^{2} }{sin-cos}+\frac{cos^{2} }{cos-sin} \\\\=\frac{sin^{2} }{sin-cos}-\frac{cos^{2} }{cos-sin}\\\\=\frac{sin^{2}-cos^{2} }{sin - cos}\\\\=\frac{(sin-cos)(sin+cos)}{sin-cos}\\\\=sin+cos[/tex]

Step-by-step explanation:

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = [tex]\frac{1}{2}[/tex] × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

∵ leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

∴ 12 = [tex]\frac{1}{2}[/tex] × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 =  [tex]\frac{1}{2}[/tex] × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

∴ x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

∴ leg1 = 2(2) = 4 inches

∴ leg2 = 3(2) = 6 inches

∵ hypotenuse = [tex]\sqrt{(leg1)^{2}+(leg2)^{2}}[/tex]

∴ hypotenuse = [tex]\sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}[/tex]

∵ The simplest form of [tex]\sqrt{52}[/tex] = 2[tex]\sqrt{13}[/tex]

∴ The length of the hypotenuse = 2[tex]\sqrt{13}[/tex] inches

Answer:

5.25 miles per hour

Answer:

5.25 mph

Step-by-step explanation:

Answer:

An equation with a slope of -3

Step-by-step explanation:

Parallel lines have their slopes equal

This means the line you should pick should have a slope of -3

In this case;

3x + y = 1 ----write it in slope-intercept form as;

y = -3x + 1 ------m , slope = -3

The equation to pick should have a slope of -3

Answer:

30 flyers

Step-by-step explanation:

A printer prints:

1 flyer = 2 1/2 seconds = 2.5 seconds

1 batch of flyers = 75 seconds

The number of flyers in a batch is:

2.5 seconds = 1 flyer

75 seconds = x

Cross Multiply

2.5 × x = 75 × 1

x = 75/2.5

x = 30 flyers.

Therefore, the number of flyers in a batch is 30 flyers

Answer:

Ooh this is hard bye b-sh

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

where are the options

Step-by-step explanation:

Answer:

it cost $8, it was a swimsuit and he bought it

Step-by-step explanation:

Answer:

Wht u need help on?

Step-by-step explanation: