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2 years ago

Solve for the smallest value of $x$ such that $24x^2 + 17x - 20 = 0.$ Express your answer as a simplified common fraction.

1 answer:

4 0

X=5/8 or x=-4/3
here is the work if needed...
24x^2+17x-20=0
Step one: Factor left side of equation.
(8x-5)(3x-4)=0
Step two: Set factor equal to 0.
8x-5=0 or 3x-4=0
x=5/8 or x=-4/3

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A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we

IRINA_888 [86]

Answer:

$52$ roses and $117$ sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is $4:9$ , we can represent how many there are of each as $4x$ and $9x$ , respectively. We know that there are $65$ more sunflowers than roses, so we can set up the following equation to solve for $x$ :

$4x+65=9x$

Solving for $x$ , we get:

$4x+65=9x$

$4x+65-4x=9x-4x$ (Subtract $4x$ from both sides of the equation to isolate $x$ )

$65=5x$ (Simplify)

$5x=65$ (Symmetric Property of Equality)

$\frac{5x}{5}=\frac{65}{5}$ (Divide both sides of the equation by $5$ to get rid of $x$ 's coefficient)

$x=13$ (Simplify)

Therefore, since $x=13$ , we know that there are $4x=4*13=52$ roses and $9x=9*13=117$ sunflowers. Hope this helps!

4 0

3 years ago

5.<br> The area of a circle is 40 mm²,<br> determine the circumference.

Naily [24]

Answer: the formula to find circumference is C=2times pie which is 3.14 times the radius. Radius is half of the diameter which in this case I believe would be 20 times that by 3.14 and get 62.8 then times that by two which gives you the answer of 125.6

Step-by-step explanation: correct me if I’m wrong

5 0

1 year ago

How can you find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret t

liberstina [14]

The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)

<h3>Conditional Probability</h3>

This is the probability that an event has happened given another event. If the two events are A and B, hence;

The conditional probability of A given B is expressed as:

P(A | B) = P(AnB)/P(B)

This given the fractions representing the conditional probability

Learn more on conditional probability here: brainly.com/question/10739997

#SPJ1

8 0

2 years ago

Find the quotient.

posledela

Answer :

$B. 16 {a}^{2}c$

step-by-step explanation :

$48 {a}^{3}b{c}^{2} \div 3abc$

This can be rewritten as:

$\frac{ 48 {a}^{3}b {c}^{2} }{3abc}$

Now,

$\frac{48}{3}=16$

The law of indices states that:

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

It implies that, when dividing two expressions with the same bases, repeat one of the bases and subtract the exponents.

Therefore,

$\frac{ {a}^{3} }{a}= {a}^{3 - 1} = {a}^{2}$

$\frac{b}{b} = {b}^{1 - 1} = {b}^{0} = 1$

Note: Any non-zero number exponent zero is 1

Also

$\frac{ {c}^{2} }{c} = {c}^{2 - 1} = {c}^{1} = c$

Hence:

$\frac{ 48 {a}^{3}b {c}^{2} }{3abc} = 16 {a}^{2}c$

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3 years ago

You buy a new video game for $59.99 The sales tax is 8%. What is the total cost for the game including sales tax?

jeka94

64.79 is your answer. i got the sales tax calculator. Hope his helps

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2 years ago

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