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kondaur [170]
3 years ago
10

Solve for b: 6b+14 = -7-b

Mathematics
2 answers:
vladimir2022 [97]3 years ago
3 0

Answer:

b = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

\frac{7b}{7} = \frac{-21}{7}

b= -3

Lorico [155]3 years ago
3 0

Answer:

b=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

7b

7

=

−21

7

b=−3

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State the transformations on the graph of f(x) = ^ x that result in the graph of the given functions.
Alex_Xolod [135]
The answer is 9/10 because I did the test and that was the answer
4 0
2 years ago
Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)
finlep [7]
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

-----------------------

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

5 0
3 years ago
Danny's Bike Shop sells a certain model of racing bike for $550. The same bike can be bought at a competing shop for 7 percent l
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Answer:

$511.5

Step-by-step explanation:

Given: Selling price of bike at Danny´s shop is $550

           Bike is sold 7% less at competitor´s shop.

Lets find the discounted amount at Danny´s competitor shop.

∴ \frac{7}{100} \times 550 = \$ 38.5

Now, finding the cost of bike at Danny´s competitor.

Cost of bike at Danny´competitor= (\textrm{Price at dannys shop - discount provided by competitor})

Cost of bike at Danny´s competitor= 550-38.5= \$511.5

∴ Cost of bike at Danny´s competitor is $511.5.

6 0
3 years ago
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Bezzdna [24]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.
jekas [21]

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

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and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

7 0
3 years ago
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