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butalik [34]
3 years ago
9

For the function f(x)=5x2−5x, evaluate and simplify.

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

9514 1404 393

Answer:

  10x -5 +5h

Step-by-step explanation:

Use the function definition with the given arguments.

  \dfrac{f(x+h)-f(x)}{h}=\dfrac{(5(x+h)^2-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{(5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{5x^2+10hx+5h^2-5x-5h-5x^2+5x}{h}=\dfrac{10hx-5h+5h^2}{h}\\\\=\boxed{10x-5+5h}

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Factor each completely. <br><br>10a² - 9a + 2 <br><br>​
Sophie [7]

Answer:

a= \frac{2}{5} or \frac{1}{2}

Step-by-step explanation:

Equate the equation to zero

10a^{2}-9a+2=0

10a^{2}-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2  OR  2a=1

a= \frac{2}{5}   OR a= \frac{1}{2}

a=\frac{2}{5} or \frac{1}{2}

3 0
3 years ago
Use the table of systolic blood pressures (in mm Hg) in each arm
e-lub [12.9K]

Answer:

The 90% confidence interval would be given by (63.330;81.070)

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let put some notation

x=left arm , y = right arm

x: 175 169 182 146 144

y: 102 101 94 79 79

Since the Confidence is 0.90 or 90%, the value of a = 0.1 and a/2= 0.05we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that ta/2= 2.13

3 0
2 years ago
Chai made $238 for 17 hours at this rate how much would he make in 9 hours
lara [203]
It would be 126. He would make 126 dollars.
3 0
3 years ago
Read 2 more answers
To make a salad dressing you mix vinegar and olive oil in the ratio 2:5 how much olive oil is needed with 20 ml of vinegar
eduard

Answer:

Step-by-step explanation:

Set this up as a proportion with the ratios being

\frac{vinegar}{oil}  If there is a 2:5 ratio of vinegar to oil, that ratio looks like this:

\frac{v}{o}:\frac{2}{5} and if we are looking for how much oil, x, is needed for 20 ml of vinegar, then that ratio completes the proportion:

\frac{v}{o}:\frac{2}{5}=\frac{20}{x} and cross multiply.

2x = 100 so

x = 50 ml of oil

3 0
3 years ago
Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. y = 4x + x
DochEvi [55]

Answer:

y = 4x + x is a linear equation

Step-by-step explanation:

A linear equation has the general equation as below;

{ \bf{y = mx + k}}

k is a constant.

• For y = 4x + x

  • y = 5x

m is 5 and k is 0

{ \underline{ \mathfrak{ \green{Good \: grace}}   \:  \:⚜ \:  \:  { \blue{ \mathfrak{Good \: God}}}}}

4 0
2 years ago
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