2. If Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school, how many combinations of fruit can he bring?

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

[tex]y = 2x + 5[/tex] --- equation

[tex]y = 5[/tex] --- y intercept

[tex]m = 2[/tex] --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

[tex](x_1,y_1) = (15,35)[/tex]

[tex](x_2,y_2) = (0,5)[/tex]

The slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-35}{0-15}[/tex]

[tex]m = \frac{-30}{-15}[/tex]

[tex]m = 2[/tex]

So, the line of best fit is:

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

Substitute known values:

[tex]y = 2(x - 0) + 5[/tex]

[tex]y = 2(x) + 5[/tex]

[tex]y = 2x + 5[/tex]

The y-intercept is when [tex]x=0[/tex]

So, we have:

[tex]y = 2*0 + 5[/tex]

[tex]y = 0 + 5[/tex]

[tex]y = 5[/tex]

Answer:

180°

Step-by-step explanation:

Well we know that AB is 90° and considering CB is the exact same I guess it's 90° too so 90+90=180°

Answer:

z=5

Step-by-step explanation:

answer is that thank

Answer: 20

Step-by-step explanation:

z = 5 ⇔ Given

5z - 5 ⇔ Expression

5 (5) - 5 ⇔ Substitution

25 - 5 ⇔ Multiplication

20 ⇔ Subtraction

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(x+5)(2x^2 +8)

Multiply (x+5) in both sides

(x+5)(2x^2) × (x+5)(8)

Answer is a

Answer:

100 ^2

10000

Step-by-step explanation:

100^100 / 100^98

We know that a^b / a^c = a^(b-c)

100 ^ (100-98)

100 ^2

10000

Answer:

100

Step-by-step explanation:

Answer:

from side a _2,4.5

from side b _-4

5,-2.

hope this will be helpful for you.

=========================================================

Explanation:

Find the prime factorization of 72 and 162

Here's a simplified version of each

We have these unique primes: 2, 3

Circle the terms that have the largest exponents for each of those unique primes. So you'll circle 2^3 and 3^4. Those items circled will multiply together to get the LCM.

This means 2^3*3^4 is the LCM (lowest common multiple).

2^3*3^4 turns into 648, but your teacher wants you to keep the LCM in prime factor form.

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

Now onto the HCF (highest common factor; aka GCF).

Looking at

We again see '2's and '3's as the unique primes. Both have at 1 copy of '2' between them. They also both have 3^2 between them. It might help to think of 3^4 as 3^2*3^2.

Those common factors you circled are then multiplied.

Overall, the HCF is 2*3^2 = 2*9 = 18

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

Side note: The HCF is useful to help reduce fractions, while the LCM is useful to help find the LCD (lowest common denominator) when adding or subtracting fractions of different denominators. There are other applications of each of these.

Answer:

LCM= 648

HCF= 18

Step-by-step explanation:

Answer:

0.657 I think this is the answer or it's 0.065 hehe

Answer:

d = 8t

Step-by-step explanation:

Answer:

100x-400

B

Step-by-step explanation:

Profit= Revenue - cost

so just subtract the two equations

(700x+100)-(600x+500)

100x-400 which is answer choice B

Answer:

Step-by-step explanation:

so subtract the cost function from the revenue function

700x + 100

-(600x + 500)

profit(x) = 100x -400

Answer:

128 cm^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 and h is the height

A =1/2( 10+22) * 8

A = 1/2 (32)8

  = 128

Answer:

A=128 cm²

Step-by-step explanation:

Hi there!

We are given a trapezoid and we want to find the area of it

The area of a trapezoid is given as [tex]\frac{a+b}{2}h[/tex], where a and b are the bases and h is the height

The bases are the parallel sides

They are the sides marked as 10 cm and 22 cm in this case

The height is the distance between the bases

In this case, it is the side marked as 8 cm

We know everything needed for the area, let's just label everything to avoid any confusion

a=10

b=22

h=8

Now substitute into the formula

A=[tex]\frac{a+b}{2}h[/tex]

A=[tex]\frac{10+22}{2}*8[/tex]

add the numbers on the numerator together

A=[tex]\frac{32}{2}*8[/tex]

Divide 32 by 2

A=16*8

multiply

A=128 cm²

Hope this helps!

Answer:

D

Step-by-step explanation:

Because the closed dot is connected to the one less than 1, we know that one of the equation is less than or equal to 1. So this eliminates A.

B makes no sense because it shows two equations for when x < 1. So this one can be ruled out immediately.

We also notice the shape of the functions, the one on the bottom looks like a cube, you can make out the beginning of the chair shape.  So the one that is less than or equal to 1 is the cubic function. Which eliminates C.

This leaves D and you can plug in values of x and y to confirm this is correct.

Answer:

Step-by-step explanation: First you look at the left side of the graph. You can tell by the shape that it is an x^3 function. also the filled in circle means inclusive. so we know that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less then or equal to is the last one, D. So the answer is D. You can look at the right side that it is open circle. So we know it is >. So we can see the bottom part of D has that as well

Answer:

Rs 1,650

Step-by-step explanation:

The given contribution are;

A contributes Rs 20,000, and B contributes Rs 30,000

The percentage of the profit A receives as manager = 25%

The amount of the profit divided in the ratio of their contribution = The remaining profit (75%)

The amount B gets = Rs1,350

The amount A gets = required

The ratio of their contribution at which the remaining profit is shared = 20,000:30,000 = 2:3

Where, out of 5 parts of 75% of the profits, B gets 3, while A gets 2

Let P represent the profit, we have;

B's share = 3/5× 0.75 × P = 1,350

∴ P = (5 × 1,350/3)/0.75 = 3,000

A gets 25% of the profits and 2/5 of the 75% remaining profit

∴ The amount A gets = 0.25×3000 + (2/5)×0.75×3000 = 1,650

Or simply put;

A gets the remainder of the profit which is Rs 3,000 - Rs 1,350 = Rs 1,650

Answer:

a) 1/2 x - 3/2

Step-by-step explanation:

y = 2x +3

y-3 = 2x

x = (y - 3 )/2

x= 1/2 - 3/2

Answer:

the first one 2/-1, hope it helps...

Answer:

no

Step-by-step explanation:

substitute the x- coordinate 5 into the equation and if the result is equal to the y- coordinate 0 then it is a solution

y = 5 + 5 = 10 ≠ 0

Then (5, 0 ) is not a solution to the equation

Answer:

1. 2x^2+6x=0 <--> 2x(x+3)=0

2.4x-x^2=0 <--> x(4-x)=0

3.14x-7x^2=0 <--> 7x(2-x)=0

4.24x-6x^2=0 <--> 6x(4-x)=0

Step-by-step explanation:

just try to expand the answer given for example when you look at no.1, 2x•x=2x^2 so look for the equation where there is a 2x^2 in it.

for finding the solution, for example when you look at no.1 again, you have 2x=0 so x=0/2=0 and you also have x+3=0 so x=-3

this applies to all the pther no.

Answer:

See picture below.

Step-by-step explanation:

I had to write a new option for one of the lines.

Step-by-step explanation:

here's the answer to your question

Answer:

Step-by-step explanation:

Answer:

A linear equation in the standard form is written as:

y = a*x +b

where a is the slope and b is the y-intercept.

If we know that the line passes through the points (a, b) and (c, d), then the slope can be written as:

a = (d - b)/(c - a)

So we know that our line passes through the points (8, -1) and (2, -5)

then the slope will be:

a = (-5 - (-1) )/(2 - 8) = (-4/-6)  = 2/3

Then our line is something like:

y = (2/3)*x + b

to find the value of b, we can use the fact that we know that our line passes through the point (2, -5)

this means that when x = 2, we must have y = -5

replacing these values in the equation we get:

-5 = (2/3)*2 + b

-5 = 4/3 + b

-5 - 4/3 = b

-15/3 - 4/3 = b

-19/3 = b

then the equation is:

y = (2/3)*x - 19/3

(in the question you wrote the point-slope form, but you can see that it does not work for the second point, so there may be a mistake there, as the slope is missing)

The actual equation in the point-slope form is:

y + 1 = (2/3)*(x - 8)

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

I Got It Right Instruction on edge

Answer:

c

Step-by-step explanation:

To find the midpoint the formulas

x=x1+x2/2 and y=y1+y2/2 are used

in this case x1 is 5,x2 is 5,y1 is 4 and y2 is -3

therefore

x=5+5/2.

=10/2

=5

y=4+(-3)/2

=1/2

The midpoint of a line segment divides the line into equal segments

The midpoint of the line segment is (5,1/2)

The endpoints of the line is given as:

(5,4) and (5,-3)

The midpoint of the line is calculated as:

(x,y) = 0.5(x1 + x2, y1 + y2)

So, we have:

(x,y) = 0.5(5 + 5, 4 - 3)

Evaluate the sum and difference

(x,y) = 0.5(10, 1)

Evaluate the product

(x,y) = (5, 1/2)

Hence, the midpoint of the line segment is (5,1/2)

Read more about midpoints at:

https://brainly.com/question/16828532

Answer:

One

Step-by-step explanation:

Set each equations equal to each other

[tex] {x}^{2} + 4 = 4x[/tex]

[tex] {x}^{2} - 4x + 4[/tex]

Find the discrimant.

[tex]{ - 4 {}^{2} - 4(1)(4) } = 0[/tex]

This means there is one real solution. Since the discramnt equal 0.

Answer:

There are 5 significant digits in 0.045325 and they are 4, 5, 3, 2, and 5.

Step-by-step explanation:

Significant digits rules:

In 0.045325, the two zeroes are leading zeroes and therefore do not count. The rest of the digits, (4, 5, 3, 2, and 5) are all non-zero and therefore count. Thus, there are 5 significant digits in 0.045325.

he would have 11 kites in total, hope this helps!

Answer:

B

Step-by-step explanation:

={(1x4)+(2x3)+(3x4)+(4x7)+(5x2)}÷20

={4+6+12+28+10}÷20

={10+40+10}÷20

={60}÷20

=3

5.8 Nickels

Step-by-step explanation:

Let x rep no of Nickels in Mike's cup

Then x - 0.2 = Number of quarters in Mike's cup

0.2x = Amount of money that mike has from the nickels

1 ( x - 0.2) = Amount of money that Mike has from the quarter

Then,

0.2x + 1 (x - 0.2) = 6

Expand the bracket

0.2x + x - 0.2x = 6

x = 6

Recall

x - 0.2 = 0

6 - 0.2 = 5.8

Therefore, Mike has 5.8 nickels for the quarter

Answer:

114 in^2

Step-by-step explanation:

umm find the area of all the shapes and add them up...