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2 years ago

If f(x)=x^2 - 3 and f(a)=46, what is the value of a? explain

1 answer:

8 0

You are trying to find what x to put into f(x) to get out 46. To do this, solve the following equation.
$x^{2} -3 = 46$
$x^2 = 49$
$x^2 = \sqrt{49}$
Therefore x = 7 or x = -7

-7, 7

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The points(1,r) and (5,-4) lie on a line with slope 5. find the missing coordinate r.

Arte-miy333 [17]

The value of r is -24

Step-by-step explanation:

Given points are:

(1,r) and (5,-4)

Let the points be:

(x1,y1) = (1,r)

(x2,y2) = (5,-4)

m = 5

The slope is given by:

$m = \frac{y_2-y_1}{x_2-x_1}\\5 = \frac{-4-r}{5-1}\\5 = \frac{-4-r}{4}\\5 * 4 = -4-r\\20 = -4-r\\20+4 = -4-r+4\\24 = -r\\r = -24$

Hence,

The value of r is -24

Keywords: Slope, coordinates

Learn more about slope at:

#LearnwithBrainly

5 0

2 years ago

What is the answer for 1.5+(-8.3)

ivanzaharov [21]

1.5+(-8.3)
=1.5-8.3
-6.8
The answer is -6.8

6 0

2 years ago

A deck contains these cards of the same size and shape.

alex41 [277]

Step-by-step explanation:

Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)

So,

1. Probability of getting blue card is 1/12

2. Probability of getting a red card is 2/12=1/6

hope it helps

3 0

2 years ago

A water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 1/4 full.

Aloiza [94]

Answer:

<em>The container can hold 280 liters of water.</em>

Step-by-step explanation:

<u>Proportions</u>

The water originally fills 1/8 of a container. Then 35 lt of water are poured into the container and now it's 1/4 full.

If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.

$\mathrm{Portion\ poured }=\frac{1}{4}-\frac{1}{8}=\frac{2}{8}-\frac{1}{8}=\frac{1}{8}$

If 35 liters of water is 1/8 of the tank, then it can hold 35*8 = 280 liters.

The container can hold 280 liters of water.

4 0

2 years ago

Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.

sladkih [1.3K]

The circumference of every circle is (pi) times (diameter).

The diameter is (2 x radius), so we can write

Circumference = (pi) x (2 x radius) .

The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:

(31.4 cm) = (3.14) x (2 x radius)

Divide each side by 3.14: (31.4 cm)/(3.14) = 2 x radius

Divide each side by 2 : (31.4 cm) / (2 x 3.14) = radius

5 cm = radius

8 0

2 years ago

Read 2 more answers