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3 years ago

Use the graph to answer F(-3)=

Mathematics

2 answers:

Virty [35]3 years ago

7 0

Answer:

f(-3) = 1

Step-by-step explanation:

The only point with an x-coordinate of -3 has a y-coordinate of 1. That is the value of the function f(x) for x=-3.

f(-3) = 1

Lynna [10]3 years ago

7 0

There is only one point on -3.
So the answer is
f(-3)=1

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Find the surface area of the pyramid

Anestetic [448]

Area of base + (area of triangle surface) = surface area of a pyramid
3 * 3 + (3 * 6 ÷ 2 * 4) = 45
The surface area of the pyramid is 45² yd.

4 0

4 years ago

(50 points) please help! no links, brainliest, extra points.

monitta

Answer:

The answer is B. The correct median of the data set is C, 15.

Step-by-step explanation:

To do a quick recap:

Mode is the average value that is found by adding up all the values and dividing them by the number of values you used.

Median is the number found in the very middle, so Darcy is correct about what a median is.

Mode is the number that appears most.

Notice that the numbers are not arranged in numerical order from least to greatest. She just took the number that she saw in the middle, without considering where it would stand if the numbers were ranked from least to most.

Here's a ranking of all the numbers from least to greatest:

8, 9, 9, 12, 13, 14, 15, 15, 16, 16, 16, 17, 21

From this ranking, we can see that there are a total of 13 numbers. Therefore, the 7th number is the median, which means that the median is 15.

6 0

3 years ago

Mr. Johnson buys 5 bottles of lemonade for the school picnic. He buys four 28

DochEvi [55]

(4x28)+64
112+64
176
Rounded to the nearest ten it would be 180

7 0

3 years ago

Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.

Len [333]

Answer:

7. C. 6

8. H. √34

9. A. (1, 3.5)

10. J. 10

Step-by-step explanation:

7. AB = 2y, BC = 6y, AC = 48

AB + BC = AC (segment addition theorem)

Substitute the above values into the equation

2y + 6y = 48

Solve for y

8y = 48

Divide both sides by 8

8y/8 = 48/8

y = 6

8. Distance between P(2, 8) and Q(5, 3):

$PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$P(2, 8) = (x_1, y_1)$

$Q(5, 3) = (x_2, y_2)$

$PQ = \sqrt{(5 - 2)^2 + (3 - 8)^2}$

$PQ = \sqrt{(3)^2 + (-5)^2}$

$PQ = \sqrt{9 + 25}$

$PQ = \sqrt{34}$

9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $L(8, 5) = (x_1, y_1)$

$B(-6, 2) = (x_2, y_2)$

Thus:

$M(\frac{8 + (-6)}{2}, \frac{5 + 2}{2})$

$M(\frac{2}{2}, \frac{7}{2})$

$M(1, 3.5)$

10. M = -10, N = -20

Distance between M and N, MN = |-20 - (-10)|

= |-20 + 10| = |-10|

MN = 10

5 0

3 years ago

What are the solutions to the following system?<br> -2 x² + y = -5<br> y=-3x²+5

Arturiano [62]

Answer:

$x=\pm\sqrt{2}$

Step-by-step explanation:

This system of equations is convenient, because the second equation already expresses y in terms of x. Now, you can substitute that in.

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

Multiplying both sides by -1 and bringing the 5 over:

$2x^2+3x^2-10=0$

Combining like terms and factoring out 5:

$5(x^2-2)=0$

Factoring:

$5(x-\sqrt{2})(x+\sqrt{2})=0$

Solutions: $x=\pm\sqrt{2}$

Hope this helps!

3 0

4 years ago