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BartSMP [9]
2 years ago
9

Solve 2x-3< 2please answer it fast ​

Mathematics
1 answer:
murzikaleks [220]2 years ago
4 0

Answer:

x<5/2

Step-by-step explanation:

We have

2x−3<2

Add 3 to both sides.

2x−3 +3 <2 +3

which makes

2x<5

Divide both sides by 2.

2x/2 < 5/2

x<5/2

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Write an equation that represents a graphed linear function
Mars2501 [29]
F(x) = C , hope this helped !
7 0
3 years ago
What is the vertex of g(x) = –3x2 + 18x + 2?
blsea [12.9K]

Answer:

(3,29)

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is x=\frac{-b}{2a}

We have the function g(x)=-3x^2+18x+2

From this function, we can find that

a=-3\\b=18\\c=2

We can plug in our know values into the formula to get

x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3

Then we can plug in our x-value to find the y-value of the vertex

g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29

This means that the vertex would be (3,29)

6 0
3 years ago
Recall the equation for a circle with center ( h , k ) (h,k) and radius r r. At what point in the first quadrant does the line w
garri49 [273]
Equation of this circle is
x^2 + (y - 2)^2 = 36
y = 2.5x + 2

Substitute for y in the equation of the circle:-

x^2 + (2.5x + 2 - 2)^2 = 36

x^2 + 6.25x^2 = 36

x^2 = 36 / 7.25  

x = +/-   6  /  2.693  =  +/- 2.228

when x = 2.228 y = 2.5(2.228) + 2 =  7.57    to nearest hundredth

when x = -2.228 y = 2.5(-2.228) + 2 =   -3.57

So they intersect at 2 points but the intersect in the first quadrant is at (2.23, 7,57)        to nearest hundredth.
7 0
3 years ago
Find the unit rate??
Marrrta [24]

Answer:

wasdwa

Step-by-step explanation:

sdwasdwasd

4 0
3 years ago
Read 2 more answers
In a​ study, researchers wanted to measure the effect of alcohol on the hippocampal​ region, the portion of the brain responsibl
ziro4ka [17]

Answer:

The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³

Step-by-step explanation:

Let x= the hippocampus volumes in the alcoholic adolescents

We'll conduct a hypothesis test at the 0.01 significance level with

Null hypothesis: x = 9.02 cm³

Alternate hypothesis: x < 9.02 cm³

A sample of 13 alcoholic adolescents gives the parameters

size=N= 13

mean=M= 8.12 cm³

standard deviation= s= 0.8 cm³

According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:

t=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • M is the sample mean (8.12)
  • s is the standard deviation of the sample (0.8)
  • N is the sample size (13)

If we put these numbers in the formula:

t=\frac{9.02-8.12}{\frac{0.8}{\sqrt{13} } } =4.056

One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.

Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.

5 0
2 years ago
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