If ST = 3x + 8, SU = 24 and
TU = 2x – 4, what does ST = ?

Answer:

[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

Answer:

0.063

Step-by-step explanation:

Answer:

Your answer is answer no 4 = 7/-8

Answer:

4.

Step-by-step explanation:

7/-8

-7/8 is between -1 and 0.

So, we can eliminate 1 and 3.

We can also get rid of 2 because -7/-8 = 7/8, which is positive.

We are left with 4.

Answer:

f(x) = [tex]-2^{x+1}-1[/tex]

Step-by-step explanation:

I. If you see (0, -3) point on the green line

II. Perform x = 0, if y = -3 means the statement is true

    = [tex]-2^{0+1} - 1[/tex]

    = [tex]-2^{1}[/tex] - 1

    = -2 - 1

  y = -3

Got more question or somethin to discuss? Leave comment below

Answer:

75+30=105....................

Answer:

what to do which lesson of ath

Answer:

s

RS = 24

Step-by-step explanation:

A bisector, in mathematics, is a two-dimensional line or line segment that divides another two-dimensional shape in half. In this case, as per the given drawing line (s) divides the line (RS) in half. This is indicated by the two small red lines on either side of the line (s) on the line (RS), signifying that the two segments are congruent. Thus, proving that line (s) bisects line (RS).

The length of line (RS) is is twice the length of line (RM), thus line (RS) is (24).

Answer:

One pound of jelly beans costs $3.75.

One pound of trail mix costs $1.75.

Step-by-step explanation:

Let [tex]x[/tex] be equal to one pound of jelly beans.

Let [tex]y[/tex] be equal to one pound of trail mix.

1) Form equations

We're given:

7 pounds of jelly beans + 9 pounds of trail mix = $42

⇒ [tex]7x+9y=42[/tex]

5 pounds of jelly beans + 3 pounds of trail mix = $24

⇒ [tex]5x+3y=24[/tex]

Now, we have our two equations:

[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]

2) Solve for x using elimination

[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]

Multiply the second equation by 3 to change 3y to 9y:

[tex]5x+3y=24\\3(5x+3y)=3(24)\\15x+9y=72[/tex]

Subtract the first equation from the second to eliminate y:

[tex]15x+9y=72\\- 7x+9y=42\\\rule{2.5cm}{0.4pt}\\8x=30[/tex]

Divide both sides by 8 to isolate x:

[tex]\displaystyle x=\frac{30}{8} \\\\x=3.75[/tex]

Therefore, one pound of jelly beans costs $3.75.

2) Solve for y using substitution

[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]

Now, we know that x=3.75. Plug this value into one of the equations and solve for y:

[tex]5x+3y=24\\5(3.75)+3y=24\\18.75+3y=24\\3y=24-18.75\\3y=5.25\\\\\displaystyley=\frac{5.25}{3} \\\\y=1.75[/tex]

Therefore, one pound of trail mix costs $1.75.

I hope this helps!

Step-by-step explanation:

1. the table on the left is a function, with the formula : y = x²

2. the table on the right is also a function, indicated by the values of the input are different each others

If the integral is

[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]

substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with

[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]

which in terms of x is

[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]

Answer:

1

Step-by-step explanation:

steps are in picture.Ignore hand writing

Answer:

83°

.......................

Answer:

83

Step-by-step explanation:

Answer:

y=x+7

y=7x+y

=7xy

Step-by-step explanation:

right answer is 7xy

Answer:

No

Step-by-step explanation:

Step-by-step explanation:

(fog)(x) = f[g(x)]

f(g(x))

f(x-2)

since f(x) = 1 / x

answer: 1/x-2

1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

Answer:

(-9/2,-1)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer:

90°

Step-by-step explanation:

diagonals of a kite intersect each other at 90°

:)

ANSWER :

third option 90 degrees

Step-by-step explanation:

the opossite adjasent angle is 1 that is 90 so angle 3 is opposite adjacent angle of angle 1

*The opposite adjacent angles will always be same

Answer:

74800 is the amount of $1700 at the rate of 5.5 for 8 yrs

This range contains 80 numbers (40 in 1-40, and another 40 in -39-0).

We have

S = 1 + 2 + 3 + … + 38 + 39 + 40

S = 40 + 39 + 38 + … + 3 + 2 + 1

==>   2S = (1 + 40) + (2 + 39) + … + (39 + 2) + (40 + 1)

==>   2S = 40 × 41

==>   S = 820

and

T = 0 + 1 + 2 + … + 37 + 38 + 39

T = 39 + 38 + 37 + … + 3 + 2 + 1

==>   2T = (0 + 39) + (1 + 38) + … + (38 + 2) + (39 + 0)

==>   2T = 40 × 39

==>   T = 780

The average of the numbers in this range is equal to the total divided by the amount of numbers in the range, so

average = (40 + 39 + … + 1 + 0 + (-1) + … + (-38) + (-39))/80

average = (S - T )/80

average = (820 - 780)/80

average = 40/80 = 1/2

[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]

The inverse of the function y = 9x -4 is obtained by a reflection in the line at ( y = x ). Hence Option D is correct.

Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point but is on the other side of the line. This transformation is known as a reflection over the line.

The inverse relation for y= 9x -4 will be calculated by putting the value of x equal to y or replacing x by y and y by x in the equation.

Hence Option D is correct.

To know more about the reflection of line follow

https://brainly.com/question/26642069

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9514 1404 393

Answer:

  292 yd²

Step-by-step explanation:

We can find the area of the remaining L shape by subtracting the area of the 21×22 rectangle at lower left from the 26×29 overall rectangle.

  shape area = (26 yd)(29 yd) -(21 yd)(22 yd) = 754 yd² -462 yd²

  shape area = 292 yd²

__

Additional comment

The area of a rectangle is the product of its length and width.

There are many ways the area of this shape can be calculated. The area can be divided into two rectangles, two trapezoids, three rectangles, and other ways.

If you cut up the given shape into smaller pieces, you will generally need to know the widths of the arms of the L. One of those is shown as 7 yd. The other is 26-21 = 5 yd.

Using the method we did, we only needed the dimensions shown on the figure.

Step-by-step explanation:

hopefully it makes sense and is visible

:)

Answer:

The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.