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Ymorist [56]
3 years ago
7

I need help on this problem!!! please help!!! ​

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0
(0.1x-22)+(0.3x-54)=90

First combine like terms

0.4x - 76 = 90

Now add 76 on both sides

0.4x = 166

Divide by 0.4 on each side to isolate x

X= 415
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Which of these tables could represents quadratic function?
myrzilka [38]

When values of a quadratic function are listed in a table with x-values having a constant difference, the y-vlaues will have a constant (non-zero) second-difference.

Here, we can list first and second differences for the values in the given tables to identify the quadratic function.

Table 1.

  • 1st differences: 3, 3, 3, 3
  • 2nd differences: 0, 0, 0, 0 . . . . this is a linear function

Table 2.

  • 1st differences: -6, -2, 2, 6
  • 2nd differences: 4, 4, 4 . . . . this is a quadratic function

Table 3.

  • 1st differences: 5, -8, -3, -3
  • 2nd differences: -13, 5, 0 . . . . can be described by a 4th degree polynomial

Table 4.

  • 1st differences: 3, 0, -3, -3
  • 2nd differences: -3, -3, 0 . . . . can be described by a 4th degree polynomial

___

The appropriate choice is Table 2.

4 0
3 years ago
A pump moves 360 gallons in 1 hour. How many gallons can be moved in 1 minute?
bulgar [2K]
Answer: 6
Explanation: there is 60 mins in an hour so divide 360 by 60 and you will receive the answer of 6 gallons per min
4 0
2 years ago
Read 2 more answers
Which table has a constant of proportionality between y and x of 1/5? (from khan academy)
katovenus [111]

Answer:

C

Step-by-step explanation:

Solve for each choice until you get the answer 1/5.

A.

2 - 4/5

10/5 - 4/5 = 6/5; this is not 1/5

B

8 - 8/5

40/5 - 8/5 = 32/5; this is not 1/5

C

3 - 16/5

15/5 - 16/5 = -1/5

5 - 26/5

25/5 - 26/5 = -1/5

7 - 36/5

35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5

6 0
3 years ago
A circle whose area is 4 has a radius of x find the area of a circle whose radius is 3x
____ [38]
The first one is 1.12867 because you need to set it up like this.
4=3.14(x)squared
4/3.14=x(squared)
x=1.12867

The second one is done simply by multiplying it out.
A=3.14(3x)squared
A=3.14(9x[squared])
A=28.26x[squared]        -The squared is referring to the x.
7 0
3 years ago
Read 2 more answers
[need math help] Study buddies part #2
rosijanka [135]

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

\displaystyle \text{Displacement}=\int_a^bv(t)\, dt

Where <em>v(t)</em> is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt

To calculate the integral, we can split it off at <em>t</em> = 11, <em>t</em> = 16, and <em>t</em> = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}

However, notice that the second figure is below the <em>x</em>-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt

In other words, all of our values are now positive. We will utilize the same strategy:

\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

\displaystyle \text{Distance} =5.6+1.5+2.4=9.5

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

6 0
3 years ago
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