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malfutka [58]
3 years ago
7

50 POINTS

Mathematics
2 answers:
madam [21]3 years ago
7 0

Answer:

19) x=\frac{7}{2}

20) h(x+3)=4x+14

Step-by-step explanation:

19)

We have the function:

t(x)=7-2x

And we want to find x such that t(x)=0.

So, substitute 0 for t(x):

0=7-2x

Solve for x. Subtract 7 from both sides:

-7=-2x

Divide both sides by -2:

\frac{7}{2}=x

Flip:

x=\frac{7}{2}

20)

We have:

h(x)=4x+2

To find h(x+3), substitute (x+3) for x. This yields:

h(x+3)=4(x+3)+2

Multiply:

h(x+3)=4x+12+2

Add:

h(x+3)=4x+14

And we're done!

MatroZZZ [7]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

(x) = 7 - 2x

Let t(x) =0

0 = 7-2x

Subtract 7 from each side

-7 = -2x

Divide by -2

-7/-2 =-2x/-2

7/2 =x

h(x) = 4x + 2

Replace x with x+3

h(x+3) = 4(x+3) + 2

Distribute

            = 4x+12 +2

            =4x+14

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At the beginning of a 10-hour experiment,a substance has an initial temperature of 19.7 degrees C. The substance is cooled at a
Olin [163]

Answer:

-6.3

Step-by-step explanation:

2.6 * 10 (10 hours and 2.6 degrees) = 26

19.7 - 26 = -6.3



3 0
3 years ago
Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).
Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

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

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 

8 0
3 years ago
How many solutions does the equation have?
Salsk061 [2.6K]

Answer: there is only one solution

Step-by-step explanation:

Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation

The 4x's will cross out on the right

4x - 4x = 0x = 0

On the left:

2x - 4x = -2x

Now the equation looks like:

-2x + 3 = 2

Continue to combine like terms by subtracting 3 on both sides of the equation

On the left:

3 - 3 = 0

On the right:

2 - 3 = -1

Equation:

-2x = -1

Isolate x by performing the opposite operation of dividing -2 on both sides of the equation

On the left:

-2x ÷ -2 = 1

On the right:

-1 ÷ -2 = 1/2

x= 1/2

4 0
3 years ago
Read 2 more answers
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Effectus [21]

<em><u>Answer:</u></em>

The answer is 70 degrees.

<em><u>Step-by-step explanation:</u></em>

1. All the angles in a circle add up to 360, and the red square thing in the TVU angle means it's a 90 degree angle.

2. Add 150 plus 50 plus 90 = 290

3. 360 degrees (total) - 290 degrees = 70 degrees! :)

3 0
3 years ago
Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours. if tyra typically works 45 h
Debora [2.8K]
She works for 40 hours, and then 5 hours.
So, for these first 40 hours, Tyra earns $21.40 per hour. We can find how much she earns in 40 hours:

21.40 x 40 = 856.
So, in the first 40 hours, she makes $856.

Now, for any number of hours Tayra works more that 40 hours, she will earn $32.10 each hour.

She works 5 hours over 40 hours, since it is 45 hours in total.
Hence, Tayra will earn $32.10 every hour for the 5 hours:

5 x 32.10 = 160.5.
Therefore, she will earn $160.50 for the 5 hours.

Now we have both of the earning amounts that make up how much she makes in the 45 hours. We can add them together

40 hours + 5 hours = 45 hours.
Substitute the amounts in the hours.

856 + 160.5 = 1016.5.

Thus, the answer is that Tyra will warn $1,016.50 in the total 45 hours.
Ergo, the correct answer is C.

Hope this helps, let me know if you need anything else! :)
7 0
3 years ago
Read 2 more answers
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