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3 years ago

For which of the inequalities below is v = 4 a solution? A v + 5 ≥ 9 B v + 5 > 9 C v + 5 < 8 D v + 5 ≤ 8

Mathematics

1 answer:

Setler79 [48]3 years ago

5 0

B. 9-5=4. That's it.

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PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

3 years ago

A machine can pack 80 cans in 5 minutes. Choose all of the values that show the ratio of cans to minutes.

Drupady [299]

Answer:

16 cans per minute

Step-by-step explanation:

Its simple 80 divided by 5 is 16 so ever minute 16 cans are packed.

4 0

3 years ago

Help pls Will give brainliest (when i can)

myrzilka [38]

Twelve thousand, three hundred twenty- seven dollars and ninety seventh thousandths.
12,000.000+ 300.000+20.000+7.000+.0+.07.+.009

5 0

3 years ago

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Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container

Alecsey [184]

Answer:

2 5/12 cups

Step-by-step explanation:

Map pours 3 2/3 cup of orange juice into measuring cup from a large container then he poured 1 1/4 cups back into the container

The amount of juice remaining in the measuring cup is calculated as:

3 2/3 - 1 1/4

= 3 - 1 + ( 2/3 - 1/4)

LCD = Lowest Common Denominator is 12

= 2 + (4 × 2 - 3 × 1/12)

= 2 + (8 - 3/12)

= 2 + 5/12

= 2 5/12 cups

Hence, the amount of juice remaining in the measuring cup = 2 5/12 cups of juice

7 0

3 years ago

Martha has 3 cards but she wants more.if she makes 5 cards an hour, how many cards will she have after 6 hours?

Paraphin [41]

Answer:

33 cards

Step-by-step explanation:

3 cards already. 5 in 1 hour = 5 x 6 hours = 30 cards + 3 cards

33 cards

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3 years ago

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