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STatiana [176]
3 years ago
9

Solve the equation for x -x*2-10x+24=0

Mathematics
2 answers:
Advocard [28]3 years ago
7 0
The answer is x=-12 an x=2
Ivenika [448]3 years ago
5 0

Answer:

x=-12        x =2

Step-by-step explanation:

-x^2-10x+24=0

Divide by -1

x^2 +10x -24 = 0

Factor

What 2 terms multiply to -24 and add to 10

12 * -2 = -24

12 -2 = 10

(x+12) ( x-2) = 0

Using the zero product property

x+12 =0    x-2 =0

x=-12        x =2

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If you guys can't see it , it says Triangle JKL was translated 12 units vertically and then reflected over the y-axis to create
anyanavicka [17]

Answer:

6

Step-by-step explanation:

-Under point reflections, figures sizes and shapes remains unchanged.

-The dimensions of JL=L\prime J\prime=8:

#We therefore equate to solve for x:

JL=L\prime J\prime\\\\8=2X-4\\\\2X=12\\\\X=6

Hence, the measure of x is 6.

3 0
3 years ago
A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of
ozzi

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis and the alternative hypothesis can be computed as:

H_0 :\mu_1 -\mu_2 = 0   (i.e. there is no difference between the SAT score for students in both locations)

H_1 :\mu_1 -\mu_2 \geq0 (i.e. there is a difference between the SAT score for students in both locations)

The test statistics using the students' t-test  for the two-samples; we have:

t = \dfrac{\overline x_1 -\overline x_2}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }

t = \dfrac{580 -530}{\sqrt{\dfrac{105^2}{45}+\dfrac{114^2}{38} } }

t = \dfrac{50}{\sqrt{\dfrac{11025}{45}+\dfrac{12996}{38} } }

t = \dfrac{50}{\sqrt{245+342 } }

t = \dfrac{50}{\sqrt{587} }

t = \dfrac{50}{24.228}

t = 2.06

degree of freedom = (n_1 + n_2 ) -2

degree of freedom = (45+38) -2

degree of freedom = 81

Using the level of significance of 0.05

Since the test is two-tailed at the degree of freedom 81 and t = 2.06

The p-value  = 0.0426

Decision rule: To reject H_o  if the p-value is less than the significance level

Conclusion: We reject the H_o , thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.

5 0
3 years ago
what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
Ede4ka [16]
Y=9-x is slope-intercept form of that line, which means it has a slope of -1. Parallel lines have the same slope, so the slope of this new line will also be -1.

To find the line that goes through (5,1), we can use a blank equation y=mx+b. We know that m=-1, so we can use the given point to find b:

y=mx+b
Y=-x+b
1=-5+b
6=b

So the line would be y=-x+6.
7 0
3 years ago
A fair spinner has 9 equal sections: 4 red, 3 blue and 2 green.
Gennadij [26K]

Answer:

14/81

Step-by-step explanation:

The probability of getting a green is number of green sections ÷ total number of sections = 2/4+3+2 = 2/9

Probability of not getting a green is = 1 - probability of getting a green = 1 - 2/9 = 7/9

Now we calculate the probability of not getting 2 consecutive greens. I.e probability of getting a green the first time and not getting it the second time= (2/9 × 7/9) = 14/81

6 0
4 years ago
Which ratio forms a proportion with 2/9<br> 10/40<br> 12/63<br> 12/45<br> 14/63
Nostrana [21]

Answer:

14/63

Step-by-step explanation:

(2*7) / (9*7) = 14/63

5 0
4 years ago
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