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Musya8 [376]
3 years ago
7

Can someone help me please :)

Mathematics
2 answers:
Airida [17]3 years ago
8 0

Answer:

C) 3/2

Step-by-step explanation:

- 3x + 2y = 4 \\ 2y = 3x + 4 \\ y =  \frac{3}{2} x + 2 \\ y = mx + b \\ m =  \frac{3}{2}

I hope that is useful for you :)

nikklg [1K]3 years ago
6 0
C. 2/3

Is the correct answer
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What is the fully factored form of the expression 16x^2 - 49y^2
podryga [215]

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

6 0
3 years ago
A knife is three times the cost of a spoon. 9 spoons and 12 knifes cost ?82.80 workout the cost of 1 knife.
tankabanditka [31]

Let S = spoon

Let K = knife


1 knife is thee times the cost of a spoon, so it would be 3S

Now you have 9S + 12K = 82.80

We can replace the K with 3S:

9S +12(3S) = 82.80

Simplify the left side:

9S + 36S = 82.80

Add:

45S = 82.80

Divide both sides by 45"

S = 82.80 / 45

S = 1.84

One spoon cost $1.84


We know one knife cost 3 times as much, so multiply the cost of a spoon by 3:

Knife = 1.84 x 3 = $5.52

7 0
3 years ago
Read 2 more answers
what is the scale factor of triangle UVW to triangle XYZ where uvw has side Lengths 3,4,2, and XYZ has lengths 14,28,21
alekssr [168]

Answer: 7

Step-by-step explanation:

Given:  Triangle UVW map to triangle XYZ where Triangle UVWhas side Lengths 3,4,2, and triangle XYZ has lengths 14,28,21.

We know that the scale factor between two similar figures is the the ratio of the corresponding side of image to the original figure.

Let k be the scale factor.

Then,

k=\frac{21}{3}=\frac{14}{2}=\frac{28}{4}=7\\\\\Rightarrow\ k=7

Hence, the scale factor = 7

8 0
3 years ago
Ivan has a summer babysitting job that pays $15 per hour. He wants to know how many hours he has to babysit to afford a new bike
exis [7]

Answer: 20 hours

Step-by-step explanation:

Equation: 15x = 300

Isolate the variable.

Divide both sides by 15:   ¹⁵ˣ⁄₁₅ = ³⁰⁰⁄₁₅

x = 20

Ivan needs to work 20 hours in order to afford the bicycle.

8 0
3 years ago
Solve for x on the interval [0, 2pi]<br> Sinx = cosx + 1
lisov135 [29]

Answer:

π

Step-by-step explanation:

Solve for x on the interval [0, 2pi]

Given the equation

Sinx = cosx + 1

Square both sides of the equation

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms

1-1-cos²x-cos²x-2cos x  = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = arccos -1

x = 180 degrees

<em>Hence the value of x = π</em>

8 0
2 years ago
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