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xxTIMURxx [149]
2 years ago
12

3-2(x+1)+(5x-4) in simplest form

Mathematics
2 answers:
timofeeve [1]2 years ago
8 0

Answer:

3(x - 3)

Step-by-step explanation:

3-2(x+1) + (5x-4)

(3 - 2x - 2) + (5x - 4) <-- you don't have to put parentheses, but it helps us see the problem better

1 - 2x + 5x - 4

3x - 3 --> 3(x - 3)

Schach [20]2 years ago
4 0

3( x - 1 )

Hope this helps.

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Any point on the parabola can be labeled (x,y), as shown. What are the distances from the point (x,y) to the focus of the parabo
lapo4ka [179]

Answer:

Step-by-step explanation:

Standard form of the equation:

y  = -\frac{1}{4} (x+3)^2+3

Directrix: y=4

Focus: (-3,2)

Points on the parabola (x,y):

(-5,2) (-3,3) (-1,2)

Distance from points to focus:

(-5,2) = (-3,2)

Answer choices:  (x+3)^2+(y−3)^2, (x−2)2+(y+3)2, (x+3)2+(y−2)2

(-5+3)^2+(2-3)^2=5

(-5-2)^2+(2+3)^2=74

(-5+3)^2+(2-2)^2=4

(-1,2)

4 0
3 years ago
A banana has 90 calories. This is 5 calories less than one seventh of calories in a banana spilt. How many calories in a banana
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Banana split has 7.857 calories
5 0
3 years ago
Read 2 more answers
A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this c
kirill115 [55]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By observing the given information, we have :-

H_0:\mu\leq4\\\\H_a:\mu>4

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

We assume that the time spend by students per day is normally distributed.

Given : Sample size :  n=121 , since n>30 so we use z-test.

Sample mean : \overline{x}=3.15

Standard deviation : \sigma=1.2

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{3.15-4}{\dfrac{1.2}{\sqrt{121}}}\\\\\Rightarrow\ z=-7.79166666667\approx-7.79

Critical value (one-tailed) corresponds to the given significance level :-

z_{\alpha}=z_{0.1}=1.2816

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.

4 0
3 years ago
A solid lies between planes perpendicular to the x-axis at x=0 and x=3. The cross-sections perpendicular to the axis on the inte
Hatshy [7]

Answer:

V = 9

Step-by-step explanation:

You can see it in the picture.

6 0
3 years ago
How to solve this equation equal to zero
hjlf
3x² -16x-12 =0

We can solve this equation using formula.

a=3, b=-16, c=-12

x= \frac{-b+/- \sqrt{b^{2} -4ac} }{2a} &#10;\\ \\ x= \frac{16+/- \sqrt{16^{2}+4*3*12} }{2*3} = \frac{16+/- \sqrt{400} }{6} = \frac{16+/-20}{6} &#10;\\ \\ x_{1}= \frac{16+20}{6} =6&#10;\\ \\x_{2}=  \frac{16-20}{6} =- \frac{4}{6} = -\frac{2}{3}
8 0
4 years ago
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