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2 years ago

Use the substitution method to solve the system of equations. Choose the

Mathematics

2 answers:

creativ13 [48]2 years ago

7 0

The answer is c !!!!!!!!!!!!!!!!!

BigorU [14]2 years ago

3 0

Answer:

C. (4,28)

Step-by-step explanation:

When y = 8x - 4 ; x = 4

when u substitute x in the equation

the value of y = 28

y = (8 x 4) - 4

= 32 - 4

= <u>2</u><u>8</u><u>.</u>

As coordinates it would be (x,y) = <u>( 4,28 )</u>

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Match each unit rate on the left with an equivalent phrase on the right. Some

Stella [2.4K]

Answer:

C, E, D

Step-by-step explanation:

A "unit rate" is a rate that has 1 unit in the denominator. Here, the rates are all given in terms of the number of apples in 1 basket. (The 1 basket is the 1 unit.)

<h3>Application</h3>

When rates are given with some number of units other than 1 in the denominator, divide the numerator by the denominator to find the unit rate.

Here, the unit rates are all more than one apple in each basket, so the number of apples must be a multiple of the number of baskets. Phrases "A" and "B" both have more baskets than apples, so will not be used.

C: (304 apples)/(8 baskets) = (304/8) apples/basket = 38 apples/basket

D: (294 apples)/(7 baskets) = (294/7) apples/basket = 42 apples/basket

E: (405 apples)/(9 baskets) = (405/9) apples/basket = 45 apples/basket

<h3>Matching</h3>

(38 apples)/(1 basket) = C: 38 apples/basket

(45 apples)/(1 basket) = E: 45 apples/basket

(42 apples)/(1 basket) = D: 42 apples/basket

5 0

1 year ago

A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit how many 1/4 unit cubes do

Julli [10]

Answer:

192 cubes

Step-by-step explanation:

So all we need to do is:

1) Find the area of 1 cube.

2) Divide the large prism volume with this.

SO 1)

the volume of cube = Length * width * height = (1/4)^3 = 1/64

SO 2)

the volume of prism / the volume of cube = 3/(1/64) = 192

Answer: 192 cubes

7 0

3 years ago

Describe the nature of the roots for this equation

vitfil [10]

First, fint the roots of the equation $2x^2+5x-7=0.$

$D=5^2-4\cdot 2\cdot (-7)=25+56=81,\\\sqrt{D}=\sqrt{81}=9,\\ \\x_1=\dfrac{-5-9}{2\cdot 2}=-\dfrac{14}{4}=-3.5,\\ \\x_2=\dfrac{-5+9}{2\cdot 2}=\dfrac{4}{4}=1.$

2. You can see that this equation has two different real roots. Note that you can make this statement without finding roots, only knowing the value of discriminant: since D=81>0, then the equation has two different real roots.

5 0

3 years ago

Does x=3/y show direct variation

Nat2105 [25]

No it does not. when solved you should get y=3/x, meaning it shows inverse variation.

5 0

3 years ago

2) Multiply<br> (6x+3)(3x2+8x+5)<br> Help, please shore me how to do this!

Brrunno [24]

Answer:

Result :

3 • (2x + 1) • (x + 1) • (3x + 5)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP1

Equation at the end of step 1

(6x + 3) • ((3x2 + 8x) + 5)

STEP2

STEP3

Pulling out like terms

3.1 Pull out like factors :

6x + 3 = 3 • (2x + 1)

Trying to factor by splitting the middle term

3.2 Factoring 3x2 + 8x + 5

The first term is, 3x2 its coefficient is 3 .

The middle term is, +8x its coefficient is 8 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .

-15 + -1 = -16

-5 + -3 = -8

-3 + -5 = -8

-1 + -15 = -16

1 + 15 = 16

3 + 5 = 8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5

3x2 + 3x + 5x + 5

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x+1)

Add up the last 2 terms, pulling out common factors :

5 • (x+1)

Step-5 : Add up the four terms of step 4 :

(3x+5) • (x+1)

Which is the desired factorization

sorry if its too much...

7 0

3 years ago