Write the slope-intercept form of the equation of the line through the given points. through: (3, -4) and (-4, 4)

Answers

Answer 1

Answer: first, you need your slope. this can be found by the slope formula: m = (y2 - y1)/(x2 - x1)

(3, -4) and (-4, 4)
(x1, y1) and (x2, y2)

m = (4 - -4)/(-4 - 3)
m = (8)/(-7)
so your slope is -8/7

now, to find a line through the given points, the only piece of information you're missing is your y-intercept. you just have to pick one point and plug it into slope-intercept form: y = mx + b, then solve for b

(-4) = (-8/7)(3) + b
-4 = -24/7 + b
-4/7 = b

so plug all of it into y = mx + b:

y = (-8/7)x - 4/7

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Solve for x: 3|2x − 2| + 6 = 18. x = 3, x = −3
x = 3, x = −1
x = 1, x = −1
x = −3, x = 1

Answers

Answer:

Option 2 - x = 3, x = −1

Step-by-step explanation:

Given : Expression $3|2x-2|+6= 18$

To find : Solve the expression ?

Solution :

The expression gives an absolute function which means $|a|=-a,a$

Expression $3|2x-2|+6= 18$

1) Taking $3(2x-2)+6= 18$

Solving,

$6x-6+6= 18$

$6x= 18$

$x=(18)/(6)$

$x=3$

2) Taking $3(-(2x-2))+6= 18$

Solving,

$3(-2x+2)+6= 18$

$-6x+6+6= 18$

$-6x+12=18$

$-6x=6$

$x=-(6)/(6)$

$x=-1$

Therefore, The solution of $3|2x-2|+6= 18$ is x=3,-1.

So, Option 2 is correct.

The answer is x=3, x= -1

Can x-2 ever be less than 0? Why or why not?

Answers

Of course it can. It always is if 'x' is less than 2.

Yes, it can.

See inequality:

x-2 < 0
x < 2

So, any value of x smaller than 2 become x- 2 a negative result.

PLSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPP!!!!GUARaNTEE REWARDAmanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Amanda? Use your z table.

Answers

To solve this question, you¨ll need to use a table of the standardized Normal distribution, or you could use a graphing calculator. The answer will be the cumulative property which will be a number with decimals. However, this represents the students who had a lower score then her, You´ll need to subtract this from 1 in order to get the opposite number, which will be the kids who scored higher. Be sure to multiply the result by 100 to get a percentage. Your answer should be 0.806 hope this helped!

Miller School has 2 boys for every 3 girls in the fifth grade. There are 120 students in the fifth grade. How many girls are there? How many boys are there?

Answers

$b-boys\ng-girls\n\n(b)/(g)=(2)/(3)\to b=(2)/(3)g\n\nb+g=120\to(2)/(3)g+g=120\n\n(2)/(3)g+(3)/(3)g=120\n\n(5)/(3)g=120\ \ \ \ \ /\cdot(3)/(5)\n\ng=72\n\nb=(2)/(3)\cdot72=2\cdot24=48\n\nAnswer:48\ boys\ and\ 72\ girls.$

Write 0.27 as a fraction

Answers

The answer is: 27/100

If f(x) = x2 and g(x) = 3x + 1, then g(f(2))= ?

Answers

Answer:

Step-by-step explanation:

f(2) = 2² = 4

g(4) = 3(4) + 1 which is 13

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