Calculate the side lengths a and b to two decimal places.

Answer:

[tex] \huge \boxed{ \boxed{ \tt - 5 {x}^{2} + 27 x- 2}}[/tex]

Step-by-step explanation:

[tex] step - 1 : define[/tex]

A-5B=2x+3-5(x²-5x+1)

[tex]step - 2 : solve[/tex]

and

we are done

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

Answer:

The original price of the books were $9.

Step-by-step explanation:

%100 - %30 = %70

%70 = 0.7

$6.30 ÷ 0.7 = $9

Answer:

C

Step-by-step explanation:

just fill in the x

ex. y=0.5x+14

     y=0.5(5)+14

     y=2.5+14

     y=16.5

Answer:

7q-35

Step-by-step explanation:

Answer:

you can shorten it by putting 4 to the power of 5. (put a little 5 atop the 4.)

Step-by-step explanation:

like this

Answer:

Step-by-step explanation:

G

Answer:

A. 3.2

Step-by-step explanation:

Given

Circumference (c) = 19.8 in

Radius (r) = ?

We know

2πr = c

2 * 3.14 * r = 19.8

6.28 r = 19.8

r = 19.8 / 6.28

r = 3.2 in

Hope it helps :)❤

Answer: [tex]x^{2} +12x+20[/tex]

Step-by-step explanation:

h(x)= (x+10)(x+2)

^ It is this way because it is so the x value will equal -10 and -2.

Now, we just distribute it. if the question does not have any points it passes through described in the problem, then it is pretty self explanatory.

x^2 + 2x+ 10x+ 20

= [tex]x^{2} +12x+20[/tex]

Answer:

f(x) = A(x - 2)(x - 10),

where A is real and A= 20.

Step-by-step explanation:

if I'm wrong I am so very sorry

Answer:

16, 10, 0

You plug in the x into the function

Answer:

y = 18/5(11)

Step-by-step explanation:

If y varies directly as x, this is expressed as;

y∝x

y = kx

k is the constant of proportional constant

if y = 18 and x = 5

18 = 5k

k = 18/5

to get the expression that can be used to find the value of y when x is 11

y = kx

y = 18/5(11)

This gives the required expression

Answer:

Step-by-step explanation:

The jar contains 2 types of coins dimes and quarters

the total amount is equal to 36.25 dollars

the total number of coins is 250

let  number of dimes be x and quarters be y

let us put the equation

0.10x + 0.25y = 36.25

for our convinience convert all money to cents i.e. = 3625 cents

now the equations are

10x + 25y = 3625

x     +    y   = 250

we need to solve for y i.e. number of quaters

y = 250 - x

rewrite the equation substituting y in x place

10(250 - y) +25 y = 3625

2500 - 10y +25y = 3625

15y = 1125

y = 75

so the number of quarters = 75

cross checking :

number of dimes = 250 - 75 = 175

total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25

4468886443222234578889953

Answer:

a) 1/10

b) 110

Step-by-step explanation:

A) we start by getting the total number of rolls

That would be;

11 + 22 + 7 + 8 + 13 + 19 = 80

The frequency of getting a 4 is 8

The probability that the next roll will be a 4 is;

8/80 = 1/10

b) Firstly, we get the probability of getting a 2

We have this as:

22/80

So for 400 rolls, the number of 2’s will be;

22/80 * 400

= 22 * 5 = 110

Answer:

All of the positive integers that can divide evenly into 35 (they are the factors) are:

 1, 5, 7, 35

All others, like 2, 3, 13, ... create a remainder that is not 0.

Now, you may (or soon will be) learning about the prime factors of 35 (not 1, and only divisible by itself and 1).  They are:

    5, 7

Step-by-step explanation:

Answer: what the question

Step-by-step explanation:

Answer:

the answer is 2/6 im not sure but i hope its help

Answer:

2000

Step-by-step explanation:

S.I=P×rate / 100×time

30000×8 / 100×5/6

=2000

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

In totality, 12 tech employees are on leave

Thus,

[tex]\frac{20}{100} * X = 12[/tex]

On solving the above mathematical equation, we get -

[tex]X = \frac{12*100}{20} \\X = 60[/tex]

Hence, there are 60 tech workers altogether

Answer:

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

Answer:

Step-by-step explanation:

Less than 0.84

Step-by-step explanation:

   Convert all numbers to decimals

   85% --> 0.85

   0.88 --> 0.88

   21/25 --> 0.84

Since these are the top three, the rest of the competitors are less than 0.84.

Answer:

yes

Step-by-step explanation:

Answer:

a: 24 cm

b: 101 m

c: 1.46 mm

Step-by-step explanation:

Formula: d=2r

a: 12*2=24 cm

b: 50.5*2=101 m

c: 0.73*2=1.46 mm

Answer:

43 m. Perimeter is all the sides added together.

Answer:

81 / 64

Step-by-step explanation:

The ratio of the areas can be obtained thus :

Area of ∆ABC / Area of ∆PQR

Area of ∆ABC / Area of ∆PQR = AB² / PQ²

AB = 1.8 ; PQ = 1.6

AB² / PQ² = 1.8² / 1.6²

= 18² / 16²

= 324 / 256

= 81 / 64