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2 years ago

Y=-4x +9 Identify the rate of change

Mathematics

2 answers:

ioda2 years ago

4 0

Answer:

the rate of change is -4

Step-by-step explanation:

it's set up as y=mx+b

m is the rate of change

b is the y-intercept

m= -4

b=9

Liono4ka [1.6K]2 years ago

4 0

Answer:

f ( x ) = $x^{2}$ , [ 2 , 3 ]

− 4

Step-by-step explanation:

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Find the perimeter pf a rectangular parking lot that has a width of 3x+2 and a length of 5x-7.*

uranmaximum [27]

Answer:

Perimeter is 16x - 10

Step-by-step explanation:

${ \sf{perimeter = 2(length + width)}} \\ p = 2 \{(5x - 7) + (3x + 2) \} \\ p = 2(8x - 5) \\ p = 16x - 10$

8 0

3 years ago

A bank features a savings account that has an annual percentage rate of r=5.2% with interest compounded quarterly. Marcus deposi

Aloiza [94]

Answer:

Part A)

$P=\$8,500\\ r=0.052\\n=4$

Part B) $S(7)=\$12,203.47$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$S(t)=P(1+\frac{r}{n})^{nt}$

where

S is the Future Value

P is the Present Value

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part A)

in this problem we have

$P=\$8,500\\ r=5.2\%=5.2/100=0.052\\n=4$

Part B) How much money will Marcus have in the account in 7 years?

we have

$t=7\ years\\ P=\$8,500\\ r=0.052\\n=4$

substitute in the formula above

$S(7)=8,500(1+\frac{0.052}{4})^{4*7}$

$S(7)=8,500(1.013)^{28}$

$S(7)=\$12,203.47$

6 0

3 years ago

Kieth bought 165 crayons that came in packs of 15. There were 9 colors of crayons how many packs of crayons did Kieth buy?

Andrej [43]

Answer:

11 packs

Step-by-step explanation:

165/15 = 11

6 0

3 years ago

Read 2 more answers

A general contractor is constructing a building that requires a concrete foundation that is to be 35 feet by 12 feet and 3 inche

inessss [21]

First we need to calculate the volume which is Base*depth or length*width*depth
first we have to change all the units so they are the same, 3 inches in this case will equal 1/4feet
multiply all the numbers together
35ft*12ft*1/4foot= 105 cubic feet
however the problem says the cost per cubic *yards*
so take the 105 cubic feet and divide by 3 (3 feet to a yard)
105/3 = 35 cubic yards
the cost of 35 cubic yards of concrete =
35*125= $4375

3 0

3 years ago

Explain the rules for multiplication and division to convert units. How do you know when to multiply and when to divide to conve

Dima020 [189]

Well, units divide and multiply just like numbers. That's why Area is in units of distance squared (cm × cm = cm²) and volume is cubic distance (m × m × m = m³).

Likewise other mathematical operations can be performed on them, including division where they can cancel out of the equation.

For instance, a rate, speed, slope or conversion factor is usually one unit divided by another unit. Like so...

speed = 5 meters per second
$= \frac{5m}{1sec}$

If you are given a distance traveled, let's say 100 meters and asked to solve for time it takes to get there. You would divide by the speed so that meters cancel leaving only time.

** Of course to divide by a fraction is to flip and multiply so really you're just multiplying by it, making sure the same units are diagonal and cancel out like so:

$100 m * \frac{1sec}{5m} = 20 sec$

Hope this helps!

4 0

3 years ago