All categories

3 years ago

PLEASE HELP 2. If f(x) = 3x2 – 7x + 2, then f(- 1) = ? (A) 18 B. 12 C.-2 D.-8.

Mathematics

1 answer:

makvit [3.9K]3 years ago

6 0

Answer: B. 12

Step-by-step explanation:

f(x) = 3x2 – 7x + 2

f(- 1) = ?

f(-1)=3(-1)^2-7(-1)+2

=3(1)+7+2

=3+7+2

=12

You might be interested in

23) Jill has a hot tub that holds 1,260 gallons of water. She needs to drain the hot tub, so that it can be moved to a new locat

IrinaK [193]

3x-x+2=4 use this equation to solve it

4 0

3 years ago

There are 14 apples in a basket. 6 of these apples are green. the rest of them are red.

kobusy [5.1K]

8:14 is ratio to red to all apples
8:6 is the ratio to green apples

5 0

2 years ago

(−5)3x7(yz)4 / (3)2x2y8z2

g100num [7]

Answer:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}$

In order to simplify this, we have to use the law of indices.

1. $(ab)^m=a^mb^m$

So, $(yz)^4=y^4z^4$

Substitute this value in the above expression. This gives,

$=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)$

Now, we use another law of indices.

2. $\frac{a^m}{a^n}=a^{m-n}$

So, $\frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2$

Substitute these values in the above expression. This gives,

$=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}$

Finally, we further simplify it using the law $a^{-m}=\frac{1}{a^m}$

So, $y^{-4}=\frac{1}{y^4}$

Therefore, the given expression is simplified as:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

5 0

3 years ago

Which graph shows the solution to the following inequality. -5c+2<27

bogdanovich [222]

Answer:

c > -5

Step-by-step explanation:

-5c + 2 < 27

- 2 - 2 Subtract 2 from both sides

-5c < 25 Divide both sides by -5 and flip the sign

c > -5

I graphed the inequality on the graph below.

If this answer is correct, please make me Brainliest!

8 0

3 years ago

What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?

Sergeu [11.5K]

Answer:

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0

3 years ago