All categories

2 years ago

If (-2, y) lies on the graph of y = 4x, then y = -16 1/16 16

Mathematics

2 answers:

emmasim [6.3K]2 years ago

7 0

Y = 4x
(-2,y).....x = -2

y = 4(-2)
y = -8

Korolek [52]2 years ago

6 0

Answer:

Step-by-step explanation:

(-2, y) lies on the graph of $y = 4^x$

It means for x=-2 we need to find the y =?

means we plug x=-2 in the given equation $y = 4 ^x$

so we get

$y = 4^ (-2)$

$y = \frac{1}{4^2}$

$y = \frac{1}{16}$

You might be interested in

Can you factor -2x + 6 to get -2(x - 3)

QveST [7]

Answer:

Yes

Step-by-step explanation:

Divide -2x + 6 by -2, then bring the -2 outside the bracket

6 0

3 years ago

A car travels 348 miles on 12 gallons of gas dominic used 8 gallons on a trip how far did the car travel

Cloud [144]

Answer:

We can start by figuring out how much he traveled per gallon. To do so all we need to do is divide the amount of miles he drove by the gallons it took him to drive that distance (348/12). This comes out to 29 miles. THerefore he drives 29 miles per gallon of gasoline.

Now to find how far he traveled with 8 gallons we need to multiply 29 times 8 (miles per gallon times how many gallons he used)

Your answer is 232

Step-by-step explanation:

4 0

3 years ago

The perimeter of a triangle is 50 feet. One side of the triangle is 4 times the second side. The third side is 14 feet longer th

shutvik [7]

Idk idk idfk idk idk 124

8 0

3 years ago

_____ terms are also expressions.

Lubov Fominskaja [6]

Answer:

Some.

Terms that include a number and a letter are expressions.

4 0

2 years ago

Read 2 more answers

In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban po

Sedbober [7]

Answer:

City @ 2017 = 8,920,800

Suburbs @ 2017 = 1, 897, 200

Step-by-step explanation:

Solution:

- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:

0.94*p_c + 0.04*p_s = p_c'

0.06*p_c + 0.96*p_s = p_s'

- Assuming 6% moved while remaining 94% remained settled at the time of migrations.

- The matrix representation is as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right]$

- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_k = x_k_+_1$

- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o = x_1$

- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o$

- Where,

$x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right]$

- The population in 2017 x_2 would be:

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}10,000,000\\800,000\end{array}\right] \\\\\\x_2 = \left[\begin{array}{c}8,920,800\\1,879,200\end{array}\right]$

5 0

3 years ago