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3 years ago

Which whole-number values of x make the inequality 3x -2 < 12 true?

Mathematics

1 answer:

Rufina [12.5K]3 years ago

4 0

3x - 2 < 12
3x < 12 + 2
3x < 14
x < 14/3
x < 4 2/3......whole-number value = 4

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Y = x^2+ 7x - 5 can be written in the form y = (x + a)^2+b

BARSIC [14]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( $\frac{7}{2}$ )x + $\frac{49}{4}$ - $\frac{49}{4}$ - 5

y = (x + $\frac{7}{2}$ )² - $\frac{49}{4}$ - $\frac{20}{4}$

y = (x + $\frac{7}{2}$ )² - $\frac{69}{4}$

Hence

a = $\frac{7}{2}$ and b = - $\frac{69}{4}$

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Please hurry im in a timed test

Mnenie [13.5K]

Answer:

$x^2-7x+12$

Step-by-step explanation:

$(x-3)(x-4)=\\x \cdot x + x \cdot -4 +x \cdot -3 + -3 \cdot -4=\\x^2-4x-3x+12=\\x^2-7x+12$

Hope this helps!

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3 years ago

Shane decided to dig his garden.On the first fine day,he dug 1/3 of it.On the second day he dug only 1/4 of it before it started

jeka94

Answer:

I think 1/4

Step-by-step explanation:

So, you first should find a common denominator so you can add the fractions together.

So, 1/4 + 1/3 + 1/6 becomes 3/12+4/12+2/12.

Add that up, you get 9/12.

Simplify.

9/12 = 3/4

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3 years ago