108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

Answer:

(0,0) and (7,10)

Step-by-step explanation:

recall that the slope - intercept  form of a linear equation can be given as

y = mx + b

where m = slope and b = y intercept

in our case, we are given that slope, m = 10/7, hence our equation becomes

y = (10/7) x + b

since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.

We pick b = 0, hence the equation simplifies to:

y = (10/7) x  ----- eq 1

we can see immediately that if x = 0, y must also = 0

proof if x = 0:

y = (10/7)(0) =0

since 0 is an integer, then (0,0) must be the first point.

we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:

y = (10/7) x 7

y = 10

hence (7,10) is the second point.

Answer:

Step-by-step explanation:

Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

X = x₁+x₂/2 and  Y = y₁+y₂/2

From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5

Substituting the given parameters into the formula, we can get the value of a and b as shown;

3 = b+1+2a/2

6 = 2a+b+1

2a+b = 5 ............... 1

Similarly, for the Y coordinate;

5 = a+2+3b+3/2

10 =  a+2+3b+3

a+3b = 10-2-3

a+3b = 5 ........ 2

Solving equation 1 and 2 simulatneously using elimination method

2a+b = 5 ............... 1 * 1

a+3b = 5 ........ 2 * 2

---------------------------------------------------------

2a+b = 5 ...........3

2a +6b = 10.......... 4

subtract 3 from 4

b - 6b = 5-10

-5b = -5

b = -5/-5

b = 1

substitute b =1 into equation 2 to get a;

a + 3b = 5

a + 3(1) = 5

a = 5-3

a = 2

From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2

Answer:

To determine the value of​ a, set up and solve a system of equations in two variables. The value of a is 2

Step-by-step explanation:

Answer:

2x + 8y + 2z

Step-by-step explanation:

Answer:

Just use the 2 to multiply the numbers in the bracket.

which is

2x+8y+2z.

Answer:

Answer is h(0)=1

Step-by-step explanation:

All you have to do is substitute x with 0 in the original equation.

Answer:

1,250

Step-by-step explanation:

5 to the 4 power is 50,and 5 to the 2 power is 25 and then Multiply them and that should be your answer

Answer:

You cant solve this question without knowing how many rows there are, and also without knowing how many seats there are per row.

Answer:

72 and 90 gcf

Step-by-step explanation:

Answer:

0.2x+1???

Step-by-step explanation:

2x/3x+1=-3

-3=2x/3x+1

-3 x 3x + 1

-9x + 1

2x/-9x+1

0.2x+1

Answer:

i think it might be D

Answer:

40%

Step-by-step explanation:

[tex]\frac{8}{20} X 100%[/tex][tex]=40%[/tex]%

Answer:

3 numbers

Step-by-step explanation:

Answer:

infinite rational numbers

Step-by-step explanation:

There are infinite rational numbers between 0 and 4. Now,single decimal value change like 2.34 and 2.35 can change the total value of a rational number. And there are infinite combinations of this decimal value between just two numbers.

Answer:

The confidence Interval = (0.329, 0.391)

Step-by-step explanation:

Formula for the Confidence Interval for proportion =

p ± z × √p(1 - p)/n

where

p = x/n

From the question

n = 900 people

x = 36% of 900 people

= 36/100 × 900

= 324

z = z score of 95% confidence Interval

z = 1.98

p = x/n

= 324/900

= 0.36

Confidence Interval = p ± z × √p(1 - p)/n

= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900

= 0.36 ± 1.96 ×√0.36 (0.64)/900

= 0.36 ± 1.96 × √0.000256

= 0.36 ± 1.96 × 0.016

= 0.36 ± 0.03136

Confidence Interval = 0.36 ± 0.03136

= 0.36 - 0.03136

= 0.32864

Approximately to 3 decimal places = 0.329

= 0.36 + 0.03136

= 0.39136

Approximately to 3 decimal places = 0.391

Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)

Answer:

B: 7.8m

Step-by-step explanation:

7.8m is 21cm more than 7.59m so it is close.

8.3 meters would be a bit too long for his lead.

Answer:

B) (2/3, 3 2/3)

Step-by-step explanation:

I think whoever write this problem thought the distance from A to C was 10.  It’s not.  It’s 10.77. (See below). But following what they did, the answer must be B) (2/3, 3 2/3)

First, find the distance from A to C.

4²+10²=c²

16+100=c²

116=c²

c=√116

10=10.77

The coordinates of point B on AC such that the ratio of AB to AC is 1:3 is (2/3, 3 2/3) option (B) is correct.

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

It is given that:

The line segment shown in the picture is in the ratio of AB to AC is 1:3

AB : AC = 1 : 3

m : n = 1 : 3

The coordinate of point A is (2, 7)

The coordinate of point C is (-2, -3)

Let the coordinate of the point B is (x, y)

m = 1

n = 2

x1 = 2

x2 = -2

y1 = 7

y2 = -3

x = (-2+4)/3

x = 2/3

y = (-3+14)/3

y =11/3

y = 3 2/3

B = (x, y) = (2/3, 3 2/3)

Thus, the coordinates of point B on AC such that the ratio of AB to AC is 1:3 is (2/3, 3 2/3) option (B) is correct.

The options are:

A. (1/3, 2 5/6)

B. (2/3, 3 2/3)

C. (-2/3, 1 1/6)

D. (-2/3, 1/3)

Learn more about the segment bisector here:

brainly.com/question/4137998

#SPJ2

Answer:

translate 3 units up

Answer:

[tex]f^{-1}(x)=\sqrt[5]{\frac{x+11}{6}}[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x^5-11[/tex]

To find the inverse of a function, switch f(x) and x, change f(x) to f⁻¹(x), and solve for f⁻¹(x). So:

[tex]f(x)=6x^5-11\\x=6(f^{-1}(x))^5-11[/tex]

Add 11 to both sides:

[tex]x+11=6(f^{-1}(x))^5[/tex]

Divide both sides by 6:

[tex]\frac{x+11}{6}=f^{-1}(x)^5[/tex]

Take the fifth root of each side:

[tex]f^{-1}(x)=\sqrt[5]{\frac{x+11}{6}}[/tex]

And we're done :)

Answer:

Step-by-step explanation:

[tex]f(x)=6x^5-11\\[/tex]

Let y equal the equation

[tex]y =6x^5-11\\y+11=6x^5\\\\Divide\:both\:sides\:of\:the\:equation\:by \: 6\\\frac{y+11}{6} = \frac{6x^5}{6} \\\\\frac{y+11}{6} = x^5\\ \\Quatric\:root\:both\:sides\\\sqrt[5]{\frac{y+11}{6} } = \sqrt[5]{x^5} \\\\\sqrt[5]{\frac{y+11}{6} } = x\\\\f^-^1(x) = \sqrt[5]{\frac{x+11}{6} }[/tex]

Answer:

42 degrees

Step-by-step explanation:

Use a number line.

-13 - 13 = 0.

Now, we are at the base, 0. Then, add 29.

13 + 29 + 42.

The answer is 42. Hope it helps!

Answer:

GHK and H

Step-by-step explanation:

Answer:

12.

Explanation:

Use the distance formula to determine the distance between two points.

Answer:

x=36

only 1 solution

Answer:

Step-by-step explanation:

(x²+4)²-11(x²+4)+24=0

put x²+4=y

y²-11y+24=0

y²-3y-8y+24=0

y(y-3)-8(y-3)=0

(y-3)(y-8)=0

y=3,8

so x²+4=3

x²=-1=i²

x=±i

or x²+4=8

x²=4

x=±2

Answer:

[tex]\displaystyle \lim_{x \to 3^-} f(x) = -1[/tex]

General Formulas and Concepts:

Calculus

Limits

Graphical Limits

Step-by-step explanation:

As we approach 3 from the left according to the graph (follow the left graphed line), we see that we approach -1.

∴  [tex]\displaystyle \lim_{x \to 3^-} f(x) = -1[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer:

-7

Step-by-step explanation:

i think it would be -7

Answer:

B= Bill's money

T= Ted's money

B+T=32

T+6=B

Step-by-step explanation:

If you rearrange the first equation you get:

B=32-T

You can then substitute the B in that equation with T+6:

T+6=32-T

combine like terms to get T:

2T+6=32

2T=26

T=13

Then plug in 13 for T in either of the first equations to get B:

13+6=B

19=B

Answer:

Bill has 19$

Step-by-step explanation:

Bill = b

Ted = t

b = t + 6$

b - t = 6$------equation 1

b + t = 32$------equation 2

(equation 1 - equation 2)

(b - b) + (-t - t) = 6 - 32

0 - 2t = -26

-2t = -26

t = -26/-2

t = -26/-2

t= 13$

(put t = 13$ in equation 1)

b - (13) = 6

b - 13 = 6

b = 6 + 13

b = 19$ (Bill = 19$)

Answer:

46 degree

Step-by-step explanation:

180-134=46

=>46 degrees

Answer:

m=-8

Step-by-step explanation:

im assuming the equation is: [tex]\frac{9}{8} m-\frac{1}{6} m=-4-\frac{11}{3}[/tex]

find common denominators i choose 24

9/8 = 27/24

1/6 = 4/24

11/3 = 88/24

4 = 96/24

now start solving:

(Note that because denominators are the same you can just ignore them and focus on the numerator)

simplify (27/24)m - (4/24)m to (23/24)m

simplify -(96/24) - (88/24) to -184/24

now you are left with 23/24 m = -184/24

get rid of denominators 23m=-184

Divide -184 by 23 to get m= -8

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the perpendicular line we must first find the slope of the original line

From the question the original line is

2x - 3y = 3

Write the equation in the general form above

That's

3y = 2x - 3

y = 2/3x - 1

Comparing with the general equation above

Slope = 2/3

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

Slope of perpendicular line = - 3/2

So the Equation of the line using point

( 1 , 2) and slope - 3/2 is

[tex]y -2 = - \frac{3}{2} ( x - 1) \\ 2y - 4 = - 3(x - 1) \\ 2y - 4 = - 3x + 3 \\ 3x + 2y - 4 - 3 = 0[/tex]

We have the final answer as

[tex]3x + 2y = 7[/tex]

Hope this helps you