hi! to find f(-3) on this graph, go to the x-value -3 and find the y-value there. when we look at -3 on the x-axis, we go down and see that there is a point at (-3,-2). therefore, f(-3)=-2.

3 0

3 years ago

During a blizzard it snowed 5 and 8/10in after a week the sun had melted 3 and 1/2 inches of snow how many inches of snow is lef

WITCHER [35]

$2\frac{3}{10}$ inches of snow is left

Solution:

Given that,

From given,

$Original\ amount\ of\ snow = 5\frac{8}{10}\ inches = \frac{10 \times 5 + 8}{10} = \frac{58}{10}\ inches$

$Sun\ melted = 3\frac{1}{2}\ inches = \frac{2 \times 3 + 1}{2} = \frac{7}{2}\ inches$

how many inches of snow is left

Snow left = original amount of snow - sun melted

$Snow\ left = \frac{58}{10} - \frac{7}{2}\\\\Snow\ left = \frac{58}{10} - \frac{7 \times 5}{2 \times 5}\\\\Snow\ left = \frac{58}{10} - \frac{35}{10}\\\\Snow\ left = \frac{58 - 35}{10}\\\\Snow\ left = \frac{23}{10}\\\\\In\ mixed\ fractions\\\\Snow\ left = 2\frac{3}{10}$

Thus $2\frac{3}{10}$ inches of snow is left

3 0

2 years ago

Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4

Gwar [14]

Answer:

y = 112

Step-by-step explanation:

If y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that y = 567 x = 9

k = 567/(9)²

k = 567/81

k = 7

now to get the value of y when x = 4

from the equation conneting x, y,

y = kx²

y = 7 × (4)²

y = 7 × 16

y = 112

6 0

2 years ago