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4 years ago

Please help solve the inequality

Mathematics

1 answer:

WITCHER [35]4 years ago

3 0

|-5x + 8| + 2 < 25 -> 5x +8 + 2 < 25 -> 5x + 10 < 25 ->(subtract 10) 5x < 15 ->(divide 5) x < 3
x < 3 = Final Answer

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Find the equation of the exponential function represented by the table below:

Elden [556K]

Answer:

The equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

Step-by-step explanation:

We know the equation of exponential function such as

$f(x) = ab^{x}$

Put x=0, and y=2 in the function

$2 = ab^{0}$

$2 = a$

Also x=1, and y=8 in the function

$8 = 2b^{1}$

$b=4$

Thus,

$f(x) = ab^{x}$

$= 2(4)^{x}$

Therefore, the equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

7 0

3 years ago

Simplify the expression.<br><br> (−5g5h6)2(g4h2)4

Colt1911 [192]

We have to simplify the expression here. The expression given,

$(-5g^5h^6)^2(g^4h^2)^4$

Now to find $(-5g^5h^6)^2$ we will use power of a product property. We have to distribute the power here. We will get,

$(-5g^5h^6)^2 = (-5)^2(g^5)^2(h^6)^2$

= $25(g^5)^2(h^6)^2$

Now we will use power of a power property. If given $(a^m)^n$ we will have to multtiply the powers and we will get $a^{mn}$ . So we will get here,

$25(g^5)^2(h^6)^2 = 25 g^{10} h^{12}$

Now the next part is $(g^4h^2)^4$

By using power of a power property we will get,

$(g^4)^4(h^2)^4 = g^{16}h^8$

Now we have to multiply them.

$(25g^{10}h^{12} )(g^{16}h^8)$

Now we have to use product of powers property. If we have same base them we will have to add the exponents there. The formula is $(a^m)(a^n) = a^{(m+n)}$ . So we will get here,

$25(g^{10} g^{16})(h^{12} h^{8})$

$25g^{(10+16)} h^{(12+8)}$

$25g^{26}h^{20}$

So we have got the required simplified answer here.

The simplified answer is $25g^{26}h^{20}$ .

4 0

3 years ago

Read 2 more answers

GIVING BRAINIEST IF CORRECT!!!!!

AfilCa [17]

Answer:

20%

Step-by-step explanation:

300 divide by 60. the answer is 20 percent

6 0

3 years ago

Read 2 more answers

Solve for w. 9 + 7w - 9 = 5w – 10 =

777dan777 [17]

Answer:

w = -5

Step-by-step explanation:

Hello there!

9+7w-9=5w-10

Add 9 and -9 since we can add those

7w=5w-10

Use subtraction Prop of Equality (combining/simplifying like terms)

2w = -10

Now isolate the w by dividing 2w by 2 and use the division prop of equality

w = -5

Hope this helps. Feel free to comment for further explanation.

8 0

3 years ago

Determine and prove what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact va

Rufina [12.5K]

Answer:

square; 60; 225.

Step-by-step explanation:

1) using the vectors rules to calculate the lengths of the sides AB; BC; CD and AD. When AB=BC=CD=AD it means, the shape is a square of rhombus.

2) using the vectors rules to calculate the lengths of the diagonales AC and BD. When AC=BD it means, the shape is a square.

3) The perimeter of the square ABCD is 15*4=60.

4) The area of the square ABCD is 15*15=225.

All the details are in the attached picture; answers are marked with colour.

5 0

3 years ago