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natita [175]
3 years ago
14

What is the factored form of x2 − 4x − 5?

Mathematics
2 answers:
LekaFEV [45]3 years ago
6 0
Factors of -5 are -5 and 1 or 5 and -1

-5 + 1 = -4 so D is the correct answer.
Oksi-84 [34.3K]3 years ago
5 0

Answer:

(x - 5)(x + 1)

Step-by-step explanation:

To solve this, using knowledge of quadratic equations, the two numeral elements (the x intercepts) of the factors, would be a form of 1 and 5, as when they are multiplied by one another they will produce a 5 and when 1 is subtracted from 5 it gives a difference of 4. To get - 4, the 5 has to be negative. The results can be tested by multiplying out the two brackets.

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

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Simplify the expression.
Naddika [18.5K]

Answer:

3

Step-by-step explanation:

((7x-4)^2) - (7x-4)(7x-4) + 3

(7x-4)(7x-4) is 7x-4^2

So its (7x-4)^2 - (7x-4)^2 + 3

(7x-4)^2 cancel out.

Answer is 3

6 0
2 years ago
Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic ha
Anestetic [448]

Answer: $22.12

Step-by-step explanation:

I just did the compound interest formula which is

starting amount * (1. interst rate) ^ number of years

example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;

100 * (1.10) ^20 = 672.74$

but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;

I know the answer is right because I asked my teacher and it's correct.

REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$

5 0
3 years ago
Assume the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons.
Rama09 [41]

The rate of change is 16.8 million tons per year

<em><u>Solution:</u></em>

Given that, the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons

<em><u>The average rate of change is given by formula:</u></em>

\text{ Average rate of change } = \frac{\text{ change in value }}{\text{ number of years }}

Value in 1950 = 12 million tons

Value in 1955 = 96 million tons

Change in value = value in 1955 - value in 1950

Change in value = 96 million - 12 million = 84 million tons

Number of years = 1950 to 1955 = 5 years

<em><u>Substitute the given values in formula,</u></em>

<em><u></u></em>\text{ Average rate of change } = \frac{84 \text{ million tons}}{5} = 16.8 \text{ million tons}<em><u></u></em>

Thus rate of change is 16.8 million tons per year

5 0
3 years ago
Parallel to y=−3/4x, through (4, -1)
kolbaska11 [484]

Answer:

y=-\frac{3}{4}x+2

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= -\frac{3}{4}

Parallel lines have the same slope. Thus, the slope of the line would also be -\frac{3}{4}.

y=-\frac{3}{4}x +c

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

-1=-\frac{3}{4} (4)+c

-1= -3 +c

<em>Add 3 to both sides:</em>

c= -1 +3

c= 2

Thus, the equation of the line is \bf{y=-\frac{3}{4}x+2.

Additional:

Do check out the following for a similar question on slope-intercept form!

  • brainly.com/question/25549430
7 0
2 years ago
A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $1.00 per movie. Another stor
Zepler [3.9K]
7.50 +1x =2.50x

x= movies
x=5
8 0
3 years ago
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