Solve the following literal equation for b.

cb + db = a

Answer:

Hello,

answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)

Step-by-step explanation:

A: delta=12²-4*2*18=0 not negative

B: delta= 5²+4*3*1=37 not negative

C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex

D: delta 16²-4*2*2=240 not negative

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.

sin(x) = 21/40

x = sin^-1(21/40)

x = 32 degrees

Hope this helps!

Answer:

16

Step-by-step explanation:

Her account balance on the sixth day is sixteen. This is because -54 +75 is 21 then you subtract 5 and get 16. (15 times 5 is 75)  

Answer:

16

Step-by-step explanation:

Starting balance: -54

Deposits +15

                +15

                 +15

                 +15

                +15

for a  total of +75

-54+75 = 21

Maintenance fee: - 5

21 - 5 = 16

Answer:

3

Step-by-step explanation:

since the diagonal are equal in length

6x-8=2x+4

4x=12

x=3

Answer:

64

Step-by-step explanation:

1=879=96889=

Step-by-step explanation:

here's the answer to your question

Answer:

x = 45. the option is C

Ihope its right

the s of a cube is 8 cause it's has 8 angles

Answer:

90°

Step-by-step explanation:

Rotation counterclockwise means the rotating an object over a fixed point in the opposite direction of our normal wall clock.

To get exact position of shoe B, shoe A would be rotated in about 90° in the opposite direction of a clock.

Thus, shoe A was rotated 90° about a fixed point to create shoe B.

Answer:

That is correct

Step-by-step explanation:

To get from a to 2a we multiply by 2, so we also need to multiply -5 by 2:

2(a)=2(-5)

2a=-10

Happy learning!

--Applepi101

Answer:

Step-by-step explanation:

Filling in the values we were given:

[tex]2(9)+5(-6(3)-4)[/tex] and we start inside the parenthesis first:

[tex]2(9)+5(-18-4)[/tex] and

[tex]2(9)+5(-22)[/tex] and by order of operations, we do multiplication or division, whichever we come to first:

18 - 110 = -92

Answer:

- 3 / 10

Step-by-step explanation:

- 9 / 10 - ( - 3 / 5 )

= - 9 / 10 + 3 / 5

= 3 / 5 - 9 / 10

= 6 / 10 - 9 / 10

= ( 6 - 9 ) / 10

= - 3 / 10

Answer:

A = 60 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h  where b1 and b2 are the lengths of the bases

The bottom base is 8+2+2 = 12

A = 1/2 ( 8 + 12) *6

A = 1/2( 20)6

A = 60 in ^2

Answer:

Step-by-step explanation:

1a) The function will shift 5 units to the right, 4 units down,

1b).The function will shift 3 units to the left, stretched in the y direction by a scale factor of 3, and shift up 2 units.

2a). The function will shift 2 units to the left, reflect over the x axis, and shift 2 units down.

2b) The function will stretched in the y direction by a scale factor of -2 and shift the function up 3 units.

9514 1404 393

Answer:

  1a. translation right 5, down 4

  1b. vertical stretch ×3, translation left 3, up 2

  2a. translation left 2, down 2

  2b. reflect in x, vertical stretch ×2, translation up 3

  3. f(x) = -4/(x+5)+4

  4. f(x) = 1/2√(3(x +3)) -4

Step-by-step explanation:

Transformations of functions can be decoded by considering the transformation ...

  g(x) = a·f((x-h)/b) +k

The transformations here are ...

Note that either 'a' or 'b' can be a fraction less than 1, which results in a transformation usually described as a compression (not a stretch). If either of these is negative, then a reflection over the x-axis (a<0) or y-axis (b<0) is also involved. The stretch (or compression) and/or reflection is applied before the translation the way this is written.

_____

1a. translation right 5, down 4

1b. vertical stretch by a factor of 3, translation left 3, up 2

__

2a. translation left 2, down 2

2b. reflected across the x-axis, vertically stretched by a factor of 2, translated up 3

__

3. a=4, b=-1, h=-5, k=4

f(x) = -4/(x+5)+4

__

4. a=1/2, b=1/3, h=-3, k=-4

f(x) = 1/2√(3(x +3)) -4

_____

The graphs in the attachments show the various functions. (It takes a little work to verify that the graph in the last attachment has the appropriate compressions, but it does.)

Answer:

[tex]7\frac{7}{12}[/tex]

Step-by-step explanation:

Answer:

x² - 4x - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(-3 + 4x² - 4x) + (-1 - 3x² - 4)

Step 2: Simplify

Answer:

x < 21

Step-by-step explanation:

x - 5 < 16

x < 21           Add 5 to both sides

Answer:

B. x < 21

Step-by-step explanation:

x - 5 < 16

  +5    +5

x      <  21

The answer would be B.

Answer:

XY = 12

Step-by-step explanation:

The midsegment XY is half the length of the base CE , that is

XY = [tex]\frac{1}{2}[/tex] × 24 = 12

Answer:

x= -9/2, y= -10

Step-by-step explanation:

you need find the x value in one equation and then subsitute it to the other equation, in this case, I would prefer finding it out of the first one.

Answer:

DE and B⁢C are parallel line segments.

Step-by-step explanation:

Edmentum-

Answer:

DE and BC are parallel line segments.

Step-by-step explanation:

Edmentum

Answer:

9x, 8x+12

Step-by-step explanation:

x(2x+7)-2x(x-1)

=> 9x

Answer:

inverse of f(x)= 4x is : x/4

Answer:

$12 less each month

Step-by-step explanation:

Find how much less James makes by solving for x in the equation:

12(80 - x) = 816

960 - 12x = 816

-12x = -144

x = 12

So, James makes $12 less each month than Matt does.

Answer:

$ 12

procedure

That is the procedure above

Answer:

x= 25 degree

I think this one is the answer

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

The mean height of the boys will be 1.73m.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given that:-

If the mean height of 15 girls is 1.65m, the sum of the girls’ heights is 15×1.65 = 24.75m.

If the mean height of 10 boys is x meters, the sum of the boys’ heights is 10x m. The sum of all 25 students’ heights is

25×1.682=42.05m.

The mean height of the boys.

24.75+10x=42.05,

x =(42.05-24.75)/10

x =1.73m,

Therefore the mean height of the boys will be 1.73m.

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9514 1404 393

Answer:

  4 days

Step-by-step explanation:

The total charges can be modeled by ...

  c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

  375 = 75d +75

  300 = 75d . . . . . . . subtract 75

  4 = d . . . . . . . . . . divide by 75

Chris rented the car for 4 days.

Answer:

4 DAYS!! THIS GETS ALL 3 MARKS!!!

Step-by-step explanation:

Chris rents a car for a total of £375. The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? You must show your working.

£375.00 - £150.00 = £225.00

£225.00 - £75.00 = £150.00

£150.00 - £75.00 = £75.00

£75.00 - £75.00 = £00.00

= Chris rented the car for 4 days

225.00 ÷ 75 = 3

3 days + 1 days = 4 days

he total charges can be modeled by ...

c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

375 = 75d +75

300 = 75d . . . . . . . subtract 75

4 = d . . . . . . . . . . divide by 75

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Answer:

[tex]\frac{3x}{4x} =\frac{3x+7}{5x-8}[/tex]

[tex]\frac{3}{4} =\frac{3x+7}{5x-8}\: (cross\: multiply)[/tex]

[tex]3(5x-8)=4(3x+7)[/tex]

[tex]15x-24=12x+28\\+24~~~~~~~~~~~~+24[/tex]

[tex]15x=12x+52\\-12x~~~~-12x\\-------\\3x=52[/tex]

[tex]\frac{3x}{3} =\frac{52}{3}[/tex]

[tex]x=52/3[/tex]

[tex]Answer:C[/tex]

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

Hope it helps...

Have a great day!!

Answer:

no solution

Step-by-step explanation:

Y=-2x + 5 equation 1

2x + y = -7 equation 2

2x + (-2x+5)=-7 substitute y value from equation 1 into equation 2

2x + -2x + 5 = -7

0 +5=-7

5=-7

no solution

Answer:

The absolute value equation is |x| =[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The standard form of absolute value equation is |x-a| =b

Where 'b' is distance from midpoint to one of the end point.

'a' is midpoint.

Here we need to write absolute value equation for the solution -[tex]\frac{1}{2}[/tex] to [tex]\frac{1}{2}[/tex]  .

The midpoint of -[tex]\frac{1}{2}[/tex]  to [tex]\frac{1}{2}[/tex]  is 0. Because [tex]\frac{\frac{-1}{2} +\frac{1}{2} }{2} =0[/tex]

The distance from 0 to [tex]\frac{1}{2}[/tex]  is [tex]\frac{1}{2}[/tex]

The absolute value equation is

|x-0 | =[tex]\frac{1}{2}[/tex]

We can simplify it as

|x| =[tex]\frac{1}{2}[/tex]

Answer:

-

Step-by-step explanation:

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