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vfiekz [6]
2 years ago
8

6) An expression is given.

Mathematics
1 answer:
tekilochka [14]2 years ago
7 0

Expressions are mathematical statements without the equation sign

The possible integer values of q, r, and z are 3, -4 and -1

<h3>How to determine the values of the integers</h3>

The expressions are given as:

x^2 + zx - 12

(x + q)(x + r)

Both expressions are equal.

So, we have:

x^2 + zx - 12 = (x + q)(x + r)

Expand

x^2 + zx - 12 = x^2 + (q + r)x + rq

By comparison, we have:

q + r = z

rq = -12

Assume that q = 3.

So, we have:

3r = -12

Divide by 3

r = -4

Recall that:

q + r = z

So, we have:

z = 3 -4

z = -1

Hence, the possible integer values of q, r, and z are 3, -4 and -1

Read more about expressions at:

brainly.com/question/4344214

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The angle between the planes is the same as the angle between their normal vectors, which are

<em>n</em><em>₁</em> = ⟨1, 1, 1⟩

<em>n</em><em>₂</em> = ⟨4, 3, 1⟩

The angle <em>θ</em> between the vectors is such that

⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(<em>θ</em>)

Solve for cos(<em>θ</em>) :

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Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip a
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Kevin is going to be able to have enough money for the concert the fastest

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Step-by-step explanation:

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Let's call x to the number of weeks Philip needs to reach $225.

52.5*x + 45 = 225

52.5*x = 225 - 45

x = 180/52.5

x = 3.43

He needs at least 4 weeks

<u>Kevin</u>

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Let's call y to the number of weeks Kevin needs to reach $225.

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3 years ago
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time
hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

0.05x + 0.1y + 0.25z = 3.65

Dimes: 3 times greater than nickels:

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Value of x:

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0.05x + 0.1(3x) + 0.25(2x+1) = 3.65

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0.85x = 3.4

x = \frac{3.4}{0.85}

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y and z:

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There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

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