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2 years ago

What is the factorization of 3x^2 – 8x + 5?

Mathematics

1 answer:

I am Lyosha [343]2 years ago

5 0

Answer:

Step-by-step explanation

Step 1: multiply the coefficient a and the constant c. Given that the general expression of a parabolic equation is ax^2+bx+c

3*5=15

Step 2: examine the coefficient b and try to find 2 numbers which you can multiply to get 15, add or subtract and get - 8

In this Case: - 3*-5=15 and - 3+(-5)= - 8

Step3:

You separate the equation in terms of the two factors you have found

3x^2-3x-5x+5=0

Step 4:Factorise

3x(x-1)-5(x-1)=0

(3x-5)(x-1)=0

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I need help with only B pls

Marina CMI [18]

Answer:

The population is increasing

Step-by-step explanation:

You can tell that function is increasing from the equation because the rate of change is $\frac{5}{4} = 1.25$

Since this value is greater than $1$ it indicates that the population is being increased.

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4 0

2 years ago

What is the given function rule f(x)=x^2-5x=1 is the output of f(-3)

Kaylis [27]

The answer ur looking for is 25

5 0

2 years ago

Read 2 more answers

Heidi's Accessories bought 50 necklaces for $10 each on account. The invoice included a 6% sales tax and payment terms of 2/10,

garri49 [273]

Answer:

The correct answer is B. Accounts payable for US$ 53.oo

Step-by-step explanation:

1. Let's recall what is the Journal entry when a company return part of the inventory previously purchased:

Debit

The amount Heidi's accessories owed to the supplier would have been sitting as a credit on the accounts payable account because the invoice has not been payed. In the case of this return, we should debit it because we should diminish the amount due.

Credit

The goods Heidi's accessories are returning and therefore, the asset of inventory decreases. The credit to purchase returns reduces the value of the total purchases. That's why options C and D are incorrect.

2. Now, let's calculate the amount of the return that Heidi's accessories made, this way:

Return = Number of necklaces * Price of each necklace + Sales taxes

Replacing with the real values, we have:

Return = 5 * 10 + (5 * 10) * 0.06

Return = 50 + (50) * 0.06

Return = 50 + 3 = 53

The correct answer is B. Accounts payable for US$ 53.oo

7 0

2 years ago

on a straight highway, the distance from loretta’s house to a park is 43 miles. her friend jamal lives along this same highway b

garik1379 [7]

The distance of Jamal's house to the park is 12 miles.

<h3>How to find the number in miles from Jamal's house to the park?</h3>

The distance from Loretta's house to a park is 43 miles.

Her friend Jamal lives along this same highway between Loretta's house and the park.

The distance from Loretta's house to Jamal's house is 31 miles.

The situations forms a straight line segment.

Therefore,

Loretta's house distance to the park = 43 miles

Lorretta's house distance to Jamal's house = 31 miles

Therefore,

distance of Jamal's' house to the park = 43 - 31

distance of Jamal's' house to the park = 12 miles

learn more on distance in miles here: brainly.com/question/13835201

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8 0

1 year ago

A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0

2 years ago