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vagabundo [1.1K]
3 years ago
13

Factor x^2 + 4x - 21

Mathematics
2 answers:
babymother [125]3 years ago
5 0

Answer:

(x - 3)(x + 7)

Step-by-step explanation:

x^2 + 4x - 21

=> x^2 + 7x - 3x - 21

=> x(x + 7) -3(x + 7)

=> (x + 7)(x - 3)

ser-zykov [4K]3 years ago
3 0

Answer:

(x+7)(x-3)

Step-by-step explanation:

So we want to factor the expression:

x^2+4x-21

When factoring, we want to find two numbers that equals (a)(c) and add up to b. We can then substitute it for b.

So, we want two numbers that when multiplied equals (1)(-21)=-21 and adds up to 4.

We can use 7 and -3.

So:

x^2+4x-21\\=x^2-3x+7x-21

Factor out an x from the first two terms, and a 7 from the third and fourth terms:

=x(x+3)+7(x-3)

Grouping:

=(x+7)(x-3)

And we are done :)

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53° 78° x° find the value of x
Talja [164]

Answer:

I would say 49 is your answer

Step-by-step explanation:

53 plus 78 qould equal 131

subtract 131 from 180 and you get 49

add up all your numbers including x then they should all equal 180

4 0
3 years ago
How many solutions does the following system of equations have?
sleet_krkn [62]
There is only solutions to the systems of equations - y = x -2 & y = -x + 2. We can find this by looking at the slopes of each line, which is 1 and -1. They are not negative reciprocals or the same exact slope, which would give the system of equations no solutions. Since the lines are not exactly the same, the system does not have infinitely many solutions. A system of LINEAR equations cannot have two solutions, giving us an answer of only one solution. Hope this helps!
8 0
3 years ago
Read 2 more answers
PLS HELP THIS IS A TEST
Pie

Answer:

D: 7

Step-by-step explanation:

1.75 (7) + 4.50

12.25 + 4.50

= 16.75

16.75 < 20

8 0
3 years ago
Hello, happy Friday, I am just here with some geometry questions.
irga5000 [103]

Answer:

VW = 43.2

Step-by-step explanation:

First, we can see that VZ = 88 - 55 = 33.

Then by the Triangle Proportionality Theorem, we can write that:

\displaystyle \frac{55}{33}=\frac{72}{VW}

Simplify:

\displaystyle \frac{5}{3}=\frac{72}{VW}

Cross-multiply:

216=5VW

So:

\displaystyle V=\frac{216}{5}=43.2

3 0
2 years ago
NEED HELP! ASAP! 50 POINTS!
Lerok [7]

Answer:

y=13\text{ miles per gallon}

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}

Subtract and reduce:

y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}

And we're done!

6 0
3 years ago
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