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Anastasy [175]
3 years ago
6

Find the area of the shape shown below.

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:  31.5 square units

Explanation:

The area of the rectangle is length*width = 7*3 = 21 square units

The area of the triangle is 0.5*base*height = 0.5*7*3 = 10.5 square units

The combined area is 21+10.5 = 31.5 square units

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Suppose that you currently own a clothes dryer that costs $25 per month to operate A new efficient dryer costs $590 and has esti
MArishka [77]

Answer:

After 59 months the new dryer will pay for itself.

Step-by-step explanation:

Let the new clothes dryer takes 'x' months to pay for itself.

Then the operating cost of the new dryer will be = 15x

Since cost of the new dryer = $590

So, total cost of the dryer in x months = $(590 + 15x)

Now we know old dryer's operating cost is = $25 per month

So, operating cost for x months = 25x

By the time when new dryer's total cost becomes equal to the old dryer's operational cost, the new dryer will pay for itself.

Now we can get the value of x by equating the old dryer's operational cost and the new dryer's total cost.

25x = 590 + 15x

25x - 15x = 590

10x = 590

x = \frac{590}{10}

x = '59 months'

6 0
3 years ago
A bag contains five red marbles, fifteen black marbles, and ten white marbles. You pick one without looking. What is the probabi
aliya0001 [1]

Answer:

Step-by-step explanation:

5 red

15 black

10 white

altogether the is 30 marbles so that means it is 'out of'  30

and because the is 5 red it would be 5/30

and because the is 10 white it would be 10/30

that should be the answer but if you have to work the total all together then it would be 15/30

hope this helps :)

6 0
3 years ago
Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
sesenic [268]

Answer:

hello there...

you know BODMAS for sure

First brackets then of then divi then multi then add and then subtract

going by BODMAS

we need to first of all multiply of -6 and 3

hence ans is multiplying -6 and 3

( option 1 Is wrong by the equation u sent if the equation is correct then ans is which given bur by options I think equation is wrong becoz I don't see divide symbol)

7 0
3 years ago
f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0
3 years ago
3842532 nearest 1000
hichkok12 [17]
You're answer would be 3843000 because the number in the hundredths place is 5 so you would round up your answer
5 0
3 years ago
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