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ki77a [65]
3 years ago
11

Solve the inequality graph and check the solution. 5>z-3

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

z < 8

Step-by-step explanation:

Add 3 to both sides

8 > z OR z < 8

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the area of a gymnasium floor is 264 square yard. the floor is 11 yards wide . how long is the floor?
Alekssandra [29.7K]
Area = Length x Width (A = L x W)

A = 264, W = 11, L = ?

Rewrite the equation to find L. In order to reverse multiplication, you must divide.

L = A / W

L = 264 / 11 = 24 yards
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determine the equation of the quadratic function gievn its roots, by using the algebraic method: {8, 3}
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Step-by-step explanation:

5 0
3 years ago
If f ( x ) f(x) is an exponential function where f ( − 3.5 ) = 25 f(−3.5)=25 and f ( 6 ) = 33 f(6)=33, then find the value of f
gavmur [86]

Given:

f(x) is an exponential function.

f(-3.5)=25, f(6)=33

To find:

The value of f(6.5).

Solution:

Let the exponential function is

f(x)=ab^x         ...(i)

Where, a is the initial value and b is the growth factor.

We have, f(-3.5)=25. So, put x=-3.5 and f(x)=25 in (i).

25=ab^{-3.5}         ...(ii)

We have, f(6)=33. So, put x=6 and f(x)=33 in (i).

33=ab^{6}         ...(iii)

On dividing (iii) by (ii), we get

\dfrac{33}{25}=\dfrac{ab^{6}}{ab^{-3.5}}

1.32=b^{9.5}

(1.32)^{\frac{1}{9.5}}=b

1.0296556=b

b\approx 1.03

Putting b=1.03 in (iii), we get

33=a(1.03)^{6}

33=a(1.194)

\dfrac{33}{1.194}=a

a\approx 27.63

Putting a=27.63 and b=1.03 in (i), we get

f(x)=27.63(1.03)^x

Therefore, the required exponential function is f(x)=27.63(1.03)^x.

4 0
3 years ago
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