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2 years ago

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

Mathematics

2 answers:

Nezavi [6.7K]2 years ago

4 0

Answer:

q = 5 startroot 5 endroot

q = Negative 5 startroot 5 endroot

Step-by-step explanation:

q² - 125 = 0

q² = 125

q = +/- sqrt(125)

q = +/- 5sqrt(5)

AlladinOne [14]2 years ago

3 0

Answer:

$5\sqrt{5}$ and $-5\sqrt{5}$

Step-by-step explanation:

We want to find roots of the function: $f(q)=q^2-125$ . The roots are the numbers that make the function f(q) = 0. So set the expression equal to 0:

$q^2-125=0$

Add 125 to both sides:

$q^2=125$

Square root both sides:

$q=$ +/- $\sqrt{125}$ = +/- $\sqrt{5^2*5}$ = +/- $5\sqrt{5}$

So, the answers are $5\sqrt{5}$ and $-5\sqrt{5}$ . (Sorry, I can't tell what the answer choices are)

Hope this helps!

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During his last 5 jobs, an electrician used the following amounts of cable:

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The total amount of cable used is 47.4m

Explanation:

Given:

Amounts of cable used that has to be rounded off to 1 decimal place:

12.995 m ≈ 13.0 m

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10.08 m ≈ 10.1 m

6.95 m ≈ 7.0 m

9.75 m ≈ 9.8 m

Total amount of cable used = 13m + 7.5m + 10.1m + 7m + 9.8m

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2 years ago

Which monomial is a perfect cube? I I A 1x3 B 3x3 C 6x3 D 9x3

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Answer:

option D 9x³

Step-by-step explanation:

the monomial 9x³ comes from (3x)³, which gives, 3×3×3×x×x×x= 9x³

9 is 3 times 3 and x³ is 3 times x. So here, 9x³ is a perfect cube

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2 years ago

f1(x) = ex, f2(x) = e−x, f3(x) = sinh(x) g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the int

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Answer:

(C1, C2, C3) = (K, K, -2K)

For K in the interval (-∞, ∞)

Step-by-step explanation:

Given

f1(x) = e^x

f2(x) = e^(-x)

f3(x) = sinh(x)

g(x) = 0

We want to solve for C1, C2 and C3, such that

C1f1(x) + C2f2(x) + C3f3(x) = g(x)

That is

C1e^x + C2e^(-x) + C3sinh(x) = 0

The hyperbolic sine of x, sinh(x), can be written in its exponential form as

sinh(x) = (1/2)(e^x + e^(-x))

So, we can rewrite

C1e^x + C2e^(-x) + C3sinh(x) = 0

C1e^x + C2e^(-x) + C3(1/2)(e^x + e^(-x)) = 0

So we have

(C1 + (1/2)C3)e^x + (C2 + (1/2)C3)e^(-x) = 0

We know that

e^x ≠ 0, and e^(-x) ≠ 0

So we must have

(C1 + (1/2)C3) = 0...........................(1)

and

(C2 + (1/2)C3) = 0..........................(2)

From (1)

2C1 + C3 = 0

=> C3 = -2C1.................................(3)

From (2)

2C2 + C3 = 0

=> C3 = -2C2................................(4)

Comparing (3) and (4)

2C1 = 2C2

=> C2 = C1

Let C1 = C2 = K

C3 = -2K

(C1, C2, C3) = (K, K, -2K)

For K in the interval (-∞, ∞)

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2 years ago

Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first pe

muminat

Answer:

15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, we have that:

Event A: Both Napoleon and Pedro catch the bus, so P(A) = 0.25.

Event B: Making to their first period class on time.

However, the probability that they make it to their first period class on time, given that they catch the bus is 0.61.

This means that $P(B|A) = 0.61$

What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$0.61 = \frac{P(A \cap B)}{0.25}$

$P(A \cap B) = 0.61*0.25$

$P(A \cap B) = 0.1525$

15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time

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2 years ago

The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu

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Answer:

Option A 50-page photo album holds 400 photographs.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

step 1

Find the value of k

For the point (3,24)

x=3,y=24

k=y/x

k=24/3=8

The equation is equal to

y=8x

step 2

Verify each statement

case A) 50-page photo album holds 400 photographs.

For x=50

substitute in the equation

y=8(50)=400 -----> is correct

case B) 80-page photo album holds 560 photographs.

For x=80

substitute in the equation

y=8(80)=640 -----> is not correct

case C) 100-page photo album holds 8,000 photographs.

For x=100

substitute in the equation

y=8(100)=800 -----> is not correct

case D) 900-page photo album holds 8,400 photographs.

For x=900

substitute in the equation

y=8(900)=7,200 -----> is not correct

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2 years ago

Read 2 more answers