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Fynjy0 [20]
3 years ago
7

If f(x)=3x+1 then f(a+h)-f(a)

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0
F(x) = 3x+1
put x = a+h
f(a+h)  = 3(a+h) + 1
f(a+h) = 3a + 3h + 1
put x = a
f(a) = 3a + 1
f(a+h)-f(a) = 3a + 3h + 1 -(3a+1)
f(a+h)-f(a) = 3a +3h + 1 - 3a -1
f(a+h)-f(a) = 3h
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Which conic's equation has 2 squares with the same signs and different leading coefficients?
Romashka [77]

We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.

We will see that it is the equation of the ellipse.

Now let's see why that is the correct answer.

The general conic equation is of the form:

A*(x - a)^2 + B*(x - b)^2 = R^2

Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.

For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.

If we write:

A = 1/C

B = 1/K

(both are positive, because "it has two squares with the same signs").

Then we get the equation:

\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2

We get the equation we wanted.

The same sign in both square parts and different leading coefficients.

The above equation is the general equation of an ellipse.

If you want to learn more, you can read:

brainly.com/question/10311514

7 0
2 years ago
Each leg of a 45-45-90 triangle measures 14 cm what is the length of the hypotenuse
PtichkaEL [24]

Answer:

14 square roots of 2 is correct

Step-by-step explanation:

5 0
3 years ago
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At an electronic store, an air conditioner marked at 280$ was on sale at $259 what was the percentage of discount for the air co
Whitepunk [10]

Answer:

7.5%

Step-by-step explanation:

280 - 259 = 21

21 / 280 = 0.075 = 7.5%

6 0
2 years ago
Based only on the information given in the diagram which congruence theorem or postulates would be given as reason why HEL=PME
Eduardwww [97]

I would mark answers:

HL, HA, ASA.

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3 years ago
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Kenny wants to learn how to serve overhand in volleyball. When he practiced yesterday, he made 7 serves over the net for every 2
Yakvenalex [24]

Answer: 28

Step-by-step explanation:

Given

Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is

\Rightarrow \text{success rate}=\dfrac{7}{2+7}\times 100=\dfrac{700}{9}\%

for 36 serves, applying the same success rate, it is

\Rightarrow \text{success rate}=\dfrac{700}{9}\times\dfrac{1}{100}\times 36=28

Serves that did not make over the net is 36-28=8

Thus, Kenny will make 28 serves that make over the net

8 0
3 years ago
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