1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
skad [1K]
3 years ago
14

Will give brainliest

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

either 40 or 140

Step-by-step explanation:

You might be interested in
Select the correct answer.
sineoko [7]

Answer:

A

Step-by-step explanation:

The plus 7 at the end will shift the graph 7 units up. Replace y with f(x).

Then we have g(x) = f(x) + 7. Adding 7 to y = f(x) will increase the y value by 7.

7 0
3 years ago
Read 2 more answers
A long distance runner starts a race at 1 m/s. he increases his speed to 3 m/s during the middle of the race and slows down to 2
slavikrds [6]
The answer is 2000:720~2.778 m/s
6 0
3 years ago
Find dy/dx. if y = 8u - 6 and u = 3x - 8.
Dmitriy789 [7]

Use the chain rule:

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}

We have

y=8u-6\implies\dfrac{\mathrm dy}{\mathrm du}=8

u=3x-8\implies\dfrac{\mathrm du}{\mathrm dx}=3

so we get

\dfrac{\mathrm dy}{\mathrm dx}=8\cdot3=\boxed{24}

Alternatively, you can substitute <em>u</em> in the definition of <em>y</em> and differentiate with respect to <em>x</em> :

y=8u-6=8(3x-8)=24x-64\implies\dfrac{\mathrm dy}{\mathrm dx}=24

7 0
2 years ago
Match the parabolas represented by the equations with their foci.
Elenna [48]

Function 1 f(x)=- x^{2} +4x+8


First step: Finding when f(x) is minimum/maximum
The function has a negative value x^{2} hence the f(x) has a maximum value which happens when x=- \frac{b}{2a}=- \frac{4}{(2)(1)}=2. The foci of this parabola lies on x=2.

Second step: Find the value of y-coordinate by substituting x=2 into f(x) which give y=- (2)^{2} +4(2)+8=12

Third step: Find the distance of the foci from the y-coordinate
y=- x^{2} +4x+8 - Multiply all term by -1 to get a positive x^{2}
-y= x^{2} -4x-8 - then manipulate the constant of y to get a multiply of 4
4(- \frac{1}{4})y= x^{2} -4x-8
So the distance of focus is 0.25 to the south of y-coordinates of the maximum, which is 12- \frac{1}{4}=11.75

Hence the coordinate of the foci is (2, 11.75)

Function 2: f(x)= 2x^{2}+16x+18

The function has a positive x^{2} so it has a minimum

First step - x=- \frac{b}{2a}=- \frac{16}{(2)(2)}=-4
Second step - y=2(-4)^{2}+16(-4)+18=-14
Third step - Manipulating f(x) to leave x^{2} with constant of 1
y=2 x^{2} +16x+18 - Divide all terms by 2
\frac{1}{2}y= x^{2} +8x+9 - Manipulate the constant of y to get a multiply of 4
4( \frac{1}{8}y= x^{2} +8x+9

So the distance of focus from y-coordinate is \frac{1}{8} to the north of y=-14
Hence the coordinate of foci is (-4, -14+0.125) = (-4, -13.875)

Function 3: f(x)=-2 x^{2} +5x+14

First step: the function's maximum value happens when x=- \frac{b}{2a}=- \frac{5}{(-2)(2)}= \frac{5}{4}=1.25
Second step: y=-2(1.25)^{2}+5(1.25)+14=17.125
Third step: Manipulating f(x)
y=-2 x^{2} +5x+14 - Divide all terms by -2
-2y= x^{2} -2.5x-7 - Manipulate coefficient of y to get a multiply of 4
4(- \frac{1}{8})y= x^{2} -2.5x-7
So the distance of the foci from the y-coordinate is -\frac{1}{8} south to y-coordinate

Hence the coordinate of foci is (1.25, 17)

Function 4: following the steps above, the maximum value is when x=8.5 and y=79.25. The distance from y-coordinate is 0.25 to the south of y-coordinate, hence the coordinate of foci is (8.5, 79.25-0.25)=(8.5,79)

Function 5: the minimum value of the function is when x=-2.75 and y=-10.125. Manipulating coefficient of y, the distance of foci from y-coordinate is \frac{1}{8} to the north. Hence the coordinate of the foci is (-2.75, -10.125+0.125)=(-2.75, -10)

Function 6: The maximum value happens when x=1.5 and y=9.5. The distance of the foci from the y-coordinate is \frac{1}{8} to the south. Hence the coordinate of foci is (1.5, 9.5-0.125)=(1.5, 9.375)

8 0
2 years ago
At a certain company, 64.5% of the employees have engineering degrees. Express this percent as a decimal
Verdich [7]

At a certain company, 64.5% of the employees have engineering degrees.

To express the percentage as a decimal we need to remove the % symbol.

To remove % symbol we always divide by 100

When we divide by 100 we move the decimal point two places to the left.

64.5 =\frac{64.5}{100}  = 0.645

The decimal vale of 64.5% is 0.645

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the mass of an object that has a force of 100 Newtons and acceleration of 25 m/s2
    9·1 answer
  • What is the simplified form of x + 6/3 - x + 2/3
    11·2 answers
  • Similar triangles help!!
    8·1 answer
  • A study finds a positive correlation between the number of traffic lights on the most-used route between two destinations and th
    8·1 answer
  • Which polynomial is prime?
    15·1 answer
  • What's your real rate of return if your savings account pays 2.5% interest and
    9·2 answers
  • What is the solution to the division problem below? (You can use long division or synthetic division) X^3 + x^2 - 11x + 4/x + 4
    12·2 answers
  • How are you guys doing today and i need help big time:
    11·1 answer
  • Question 1
    13·1 answer
  • 4. Four years ago, Melody was one fourth as old as her sister was then, In six years, Melody will be half as old as het sister w
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!