Teresa’s age is 5 years more than twice Ben’s age.
If Ben is x years old, the expression gives the sum of Ben’s and Teresa’s ages.
If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is years.

Answer:

50 million

Step-by-step explanation:

since they're moving at a constant rate, all you need to do is multiply 5 by 10 million

Answer:

3/5 and 3/4 im pretty sure

Step-by-step explanation:

you have to find the multiple that would make it equal the answer

Answer:

3 hours

Step-by-step explanation:

15 workers * 7 hours = 105 worker hours

105 worker hours / 35 workers = 3 hours  

Answer:

-1/2arctan(x) - 1/4ln|x + 1| + 1/4ln|x - 1| + C

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

f(0) = value of graph at x = 0   = -6

f(-4) =                              x = -4 =  6

f(1)   = -4

Step-by-step explanation:

361 is the answer.

hope it helps

The easiest way to determine whether the point is on the circle:

  ⇒ plugging the values into the equation

    ⇒ then see if the equation holds true

       ⇒ meaning that the point is on the line

         [tex](3-3)^2+(-7+2)^2=25\\(-5)^2=25\\25=25[/tex]<== true

         [tex](8-3)^2+(-2+2)^2=25\\5^2=25\\25=25[/tex]<== true

          [tex](3-3)^2+(-3+2)^2=25\\(-1)^2=25\\1=25[/tex]<== false

          [tex](3-3)^2+(3+2)^2=25\\5^2=25\\25=25[/tex]<== true

          [tex](-2-3)^2+(8+2)^2=25\\(-5)^2+10^2\\25+100=25\\125=25[/tex]<== false

Answer: (3,-7), (8,-2), (3,3)

Hope that helps!

Answer:

a plus b equals 9923

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

In triangle MLK

it is a equilateral triangle

Hence

ML=LK=MK=5

Now come to triangle MKJ

It is a isosceles triangle

Hence

MJ=Mk

MK=5

Hence

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

How do we write 8x-2y=10 in slope intercept form?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and Solution:-}}}}[/tex]

First subtract 8x on both sides:-

-2y=10-8x

or

-2y=-8x+10

Now divide by -2 on both sides:-

y=2x-5

This is our equation in slope intercept form.

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

Answer:

x= 1.5

y=5

Step-by-step explanation:

do equation 1 and 2 then,

subtract the equation

find the value of y by subtracting

and put the value of y in any equation and get the value of x

Step-by-step explanation:

4x+3y=21

4x+2y=16

If we add both the equation:

4x + 3y = 21

4x + 2y = 16

(-) (-) (-)

4x + 3y = 21

-4x - 2y= -16

=> 0+1y= 5

y=5

substituting Y in eq 1

4x+3y=21

4x+3(5)=21

4x+15=21

4x=21-15

4x=6

x=1.5

Answer:

The answer is 0

Step-by-step explanation:

5x3 is 15

Therefore it is concluded as:

15÷10x2-3 is 0

Step-by-step explanation:

x+ x+1+ x+2=126

3x+3=126

3x=126-3

3x=123

divide each side by 3

x=41

x+1=42

x+2=43

check your answer by adding the three integers:

41+42+43=126

Answer:

Step-by-step explanation:

let first integer= Y note : Y is an even number.

second integer= (Y+2)

third integer = (Y+4)

from the question,

Y+Y+2+Y+4= 126

3Y+6 = 126

3Y = 126-6

3Y = 120

dividingbothsides by (3)

3Y/3 = 120/3

Y= 40

therefore, the even integers are:

40

(Y+2)= 40+2= 42

(Y+4) =40+4= 44

"3 va después de 5 y entre 7 y 12" = "3 goes after 5, and between 7 and 12"

This eliminates A and D (3 is not between 7 and 12 in either choice).

"5 va antes de 12 y entre 7 y 3" = "5 goes after 12, and between 7 and 3"

This eliminates C (5 is not between 7 and 3).

So the correct sequence is B.

it would be negative because negetive overcomes positive.

Answer:

The outcome is a negative because when doing multiplication of negative times positive your answer will always be a negative. For an example, -4*9= -36 so it would be negative.

If m is parallel to n then value of x and y is X = 41° and Y = 41°.

An angle is formed when two straight lines or rays meet at a common endpoint.

Given that line m and n are parallel lines.

Parallel lines are those straight lines that are always the same distance apart from each other.

As y is vertically opposite to the angle 41° . So the value of y is also 41°  and angle x is equal to angle y because they are alternate angles. So the value of y is also  41°.

Therefore X = 41° and Y = 41°.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ5

Answer:

$115

Step-by-step explanation:

VAT = 15% of marked price

        = 0.15 * 100

        = $ 15

Price paid by the customer = 100 + 15

                                             = $ 115

Answer:

- 1/4x+1/3x=1

Step-by-step explanation:

Answer:

B. [tex]36\frac{3}{4}\ mph[/tex]

Step-by-step explanation:

The formula for average speed:

[tex]S_{average} = \frac{distance}{time}\\\\S = \frac{49\ miles}{1\frac{1}{3}\ hours}\\\\S = 36.75 = 36\frac{3}{4}\ mph[/tex]

Answer:

The solution would be x=1n(7/4)

Step-by-step explanation:

The decimal form would be 0.55961578

Answer:

= In (7/4)

Step-by-step explanation:

3+4+1=11

4+4=11

4+4=11

4+4=11

4+4=11

4+4−4=11−4

4=7

44=7

Answer:

18

Step-by-step explanation:

9 divided by 1/2 is the same as 9 multiplied by 2, which equals 18

Answer:

Step-by-step explanation:

so to go forward we input x and get out y,   to go backwards ( the inverse) we plug in y and get out x   ,  so just solve the equation for x

f(x) = 8x - 5

remember that f(x) = y

so,

y = 8x - 5

now solve for x

y+5 = 8x

(y+5) / 8 = x

then remember that we want to swap x and y ,

(x+5) / 8 = y

now y = [tex]f^{-1}[/tex](x),  it's kinda confusing.

 [tex]f^{-1}[/tex](x)= [tex]\frac{x+5}{8}[/tex]

Answer:

length 11 width 4

Step-by-step explanation:

perimeter:

11+11=22

4+4=8

22+8=30

area:

11*4=44

Answer:

[tex]\large{\boxed{\sf g(x) = \dfrac{1}{2} |x - 4| +7}}[/tex]

Explanation:

Absolute value of a graph formula:

Identify the vertex : (h, k) = (4, 7)

Take two points: (4, 7), (6, 8)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{8-7}{6-4} \ = \dfrac{1}{2}[/tex]

Putting them together :  [tex]\bf g(x) = \dfrac{1}{2} |x - 4| +7[/tex]

Answer:

[tex]g(x)=\dfrac{1}{2}|x-4|+7[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

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

Parent function:  [tex]f(x)=|x|[/tex]

(with vertex at the origin)

From inspection of the graph, the vertex of the transformed function is at (4, 7).  Therefore, there has been a translation of:

[tex]\implies f(x-4)+7=|x-4|+7[/tex]

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies a\:f(x-4)+7=a|x-4|+7[/tex]

The line goes through point (0, 9)

Substituting this point into the above equation to find [tex]a[/tex]:

[tex]\implies a|0-4|+7=9[/tex]

[tex]\implies 4a=2[/tex]

[tex]\implies a= \dfrac{1}{2}[/tex]

Therefore,

[tex]\implies g(x)=\dfrac{1}{2}|x-4|+7[/tex]

Answer: (-1,-4)

Step-by-step explanation:

move one unit left, and 4 units down. The vertex is the lowest or highest point on the graph (in this case the lowest)

Answer:

∠ ACB = 21°

Step-by-step explanation:

the inscribed angle ACB is half the central angle AOB , subtended by the same arc AB , then

∠ ACB = [tex]\frac{1}{2}[/tex] ∠ AOB = [tex]\frac{1}{2}[/tex] × 42° = 21°