Lauren is given a 12% pay rise. Her new salary is £24,080
What was Laurenʼs salary before the pay rise?

Answer:

Step-by-step explanation:

x²-bx-22=0

put x=4

4²-4b-22=0

16-4b-22=0

-4b-6=0

2b+3=0

b=-3/2

x²-3/2x-22=0

2x²-3x-44=0

2x²-11x+8x-44=0

x(2x-11)-4(2x-11)=0

(2x-11)(x-4)

roots are 11/2,4

The required value of the b  is -3/2, and another root of the given equation is  -11/2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x² - bx - 22 = 0

As we know 4 is the root of the equation,
put 4 in the given expression,
(4)² -b(4) -22 = 0
16 -4b -22 = 0
b = -3/2

x² + 3/2x - 22 = 0
(x - 4)(x + 3/2) = 0

root are,
x = 4 and -11/2

Thus, the required value of the b  is -3/2, and another root of the given equation is  -11/2.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

got u

Step-by-step explanation:

Answer:

1/3.75

Step-by-step explanation:

Let:

Volume of sphere P = x

Volume Sphere Q = x + 150/100x

Volume of Q = x + 1.5x = 2.5x

Volume of R is 50% more than Q

Volume of R = (100 + 50)% of 2.5x

Volume of R = 150/100 * 2.5x

Volume of R = 1.5 * 2.5x = 3.75x

Volume of sphere P as a fraction of sphere R ;

Volume of P / volume of R

x / 3.75x

= 1/3.75

Answer:Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form(2,-2)

Equation Form:x=2 y=-2

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{4}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = [tex]\frac{5-2}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = [tex]\frac{3}{4}[/tex] x + 2 ← equation of line

Answer:

2(x^7+x^5y^2+x^3y^4+y^3x^4+y^5x^2+y^7) under (x^2+xy+y^2)(x^2-xy+y^2)(x^4+x^2y^2+y^4)

Step-by-step explanation:

9514 1404 393

Answer:

  4.7124 mi

Step-by-step explanation:

  (3.3 mi/h) · (1.428 h) = 4.7124 mi

Each team member ran 4.7124 miles yesterday.

Answer:

11

Step-by-step explanation:

Answer:

4.5 hope this helps if see well there

Answer:

i think im to late sorry

Step-by-step explanation:

Answer:

x = 15.6

Step-by-step explanation:

use the pythagorean theorem:

a² + b² = c²

a = 9

b = x

c = 18

(9)² + x² = (18)²

81 + x² = 324                    subtract 81 from both sides

x² = 243                            take the square root of both sides

x = √243

x = 15.6

Answer:

x = 55

Step-by-step explanation:

Here, we want to get the value of x

From the diagram , we can see that we have a right- triangle

and thus,

x + 35 = 90

x = 90-35

x = 55

Answer:

Yes you would

Step-by-step explanation:

Answer:

B = 285°

Step-by-step explanation:

What you would actually do is subtract 75° from 360° since the arrow indicates it's looking for the outside measure of the angle. Drawing a circle around would be 360° all the way around.

360° - 75° = 285°

Thus, 285° is the answer for B.

Answer:

Radius is 3.5 cm

Diameter is 7 cm

Step-by-step explanation:

Radius is half the diameter

They give you the diameter at 7 cm

Then you have to half that to get 3.5 cm as the radius

Answer:

The answers are the diameter is 7 because whatever the line across is it's the diameter and the radios is half of what the diameter is so whatever is half of 7 is your radios.

Step-by-step explanation:

Diameter: 7

Radios: 3.5 or 3 1/2

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

Answer:

D

Step-by-step explanation:1x1x1=1

Answer:

Find each measure.

1. 

SOLUTION:  

The trapezoid ABCD is an isosceles trapezoid. So,

each pair of base angles is congruent. Therefore,

ANSWER:  

101

2. WT, if ZX = 20 and TY = 15

SOLUTION:  

The trapezoid WXYZ is an isosceles trapezoid. So, the

diagonals are congruent. Therefore, WY = ZX.

WT + TY = ZX

WT + 15 = 20

WT = 5

ANSWER:  

5

COORDINATE GEOMETRY Quadrilateral

ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),

and D(5, –1).

3. Verify that ABCD is a trapezoid.

SOLUTION:  

First graph the points on a coordinate grid and draw

the trapezoid.

Use the slope formula to find the slope of the sides of

the trapezoid.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

ANSWER:  

ABCD is a trapezoid.

4. Determine whether ABCD is an isosceles trapezoid.

Explain.

SOLUTION:  

Refer to the graph of the trapezoid.

Use the slope formula to find the slope of the sides of

the quadrilateral.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

Use the Distance Formula to find the lengths of the

legs of the trapezoid.

The lengths of the legs are equal. Therefore, ABCD

is an isosceles trapezoid.

ANSWER:  

isosceles;

5. GRIDDED REPSONSE In the figure, is the

midsegment of trapezoid TWRV. Determine the value

of x.

SOLUTION:  

By the Trapezoid Midsegment Theorem, the

midsegment of a trapezoid is parallel to each base

and its measure is one half the sum of the lengths of

the bases.

 are the bases and   is the 

midsegment. So,

Solve for x.

16 = 14.8 + x

1.2 = x

ANSWER:  

1.2

CCSS SENSE-MAKING  If ABCD is a kite, find

each measure.

6. AB

SOLUTION

Answer:

m = 1

Step-by-step explanation:

Answer:

31,000 and 6

Step-by-step explanation:

The product of 0.031 and 1,000,000 is 31,000, because the decimal point in 0.031 moves  6 places to the right.

Hope it helps :)

Please mark my answer as the brainliest

Answer:

0.00000003-6

Im doing a chalenge

Please like I need to win

Answer:

3.7

Round 5 up

Answer:

as decimal is approximately: 3.69231

Step-by-step explanation:

Answer:

60 for chocolate pretzels and 1.50 for strawberry for the total cost will be 2.10$

Step-by-step explanation:

Answer:

the total would be 1.50

Step-by-step explanation:

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

x - 0.2x = 14

0.8x = 14

x = 14/0.8

x = $17.5

1) 2/5 x 3 =?

Since we cannot possibly cancel the denominators, let us multiply 2 and 3.

Answer will become, 6/5.

2) 2/3x3 =?

We can cut 3 and 3.

Answer will become, 2.

3) 2/5 x 3=?

This is a repeated question and the answer remains the same as the 1st question's answer, 6/5.

4) 3/2 x 3=?

We cannot cancel the denominators, let us multiply 2 and 3.

Answer is, 9/2.

Answer:

1

Step-by-step explanation:

Hopefully this is right!

Answer:

0

Step-by-step explanation:

I think.......

Answer:

24

Step-by-step explanation:

Have a blessed day! :)

Answer:

i have done the solution calculate yourself

Answer:

it is a

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Slope: 3

y-intercept: (0,1)