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3 years ago

The rational number 5 3/7 is equal to is equal to

Mathematics

1 answer:

Andrei [34K]3 years ago

7 0

Answer:

38/7 is = to 5 3/7

Step-by-step explanation:

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When 3x^2-12x-7 is written in the form of a (x-h)^2+k, what is the value of a,h, and k?

slavikrds [6]

A=2,h=5,k=0 and the vertex,which is (h,k) is vertex (-5,0)

3 0

3 years ago

QUICKLY PLEASE HELP!!!!!!!!!!!!!!

marishachu [46]

D you only need that much

8 0

3 years ago

Read 2 more answers

Rosa's test scores are 78, 92, 88, and 89. What must she score on her next test to have an average of 90? A) 95 B) 97 C) 99 D) 1

Morgarella [4.7K]

Answer: D

Step-by-step explanation:

Let x represent the score on her next test

$\frac{78 + 92 + 88 + 89 + x}{5} = 90$

$(5)\frac{78 + 92 + 88 + 89 + x}{5} = (5)90$

78 + 92 + 88 + 89 + x = 5(90)

347 + x = 450

-347 -347

x = 103

3 0

3 years ago

Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

3 years ago

I need help please and thank you

Anit [1.1K]

Answer:

Step-by-step explanation:

The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.

Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.

Solving that equation will give you b=-7

That means the y-intercept is -7.

The equation would then be y=4x-7

6 0

3 years ago