3. (a) Expand and simplify the following expression.
X(5x-2)-3(x^2-2x+7)

Answer:

0.50

Step-by-step explanation:

Round up £5.99 to £6 (this makes the question easier to solve), then do £6÷12=0.5 (50p)

Answer:

B. Inches

Step-by-step explanation:

Because it measures the length of something, Not the weight.

Answer:

C

Step-by-step explanation:

weight in the USA is usually measured in LBS (pounds)

Answer:

2/5

Step-by-step explanation:

also=4/10

4/10

=2/5

Here, Matt is bringing 0.4 of cake.

For the denominator:

We are taking 1 for [.] decimal and take 0 for 4.

So, its fraction becomes 4/10=2/5 [if we divide both denominator and lobe by 2].

Answer:

f(x) = 2(x-5)²-2

Step-by-step explanation:

The equation of a parabola in vertex form is y=a(x-h)²+k where (h,k) is the vertex and "a" represents how stretched or compressed the parabola is and what direction it travels.

Given a vertex of (5,-2) the equation so far is y=a(x-5)²-2

Since we want the parabola to pass through the point (3,6) we must find a value of "a" that satisfies this:

y=a(x-5)²-2

6=a(3-5)²-2

6=a(-2)²-2

6=4a-2

8=4a

2=a

This means that the quadratic function is f(x) = 2(x-5)²-2

Answer:

550 mins

Step-by-step explanation:

Answer:

Step-by-step explanation: can you zoom that picture in cant see it

Answer:

r≈3.39cm

Step-by-step explanation:

Using the formula

V=πr2h/3

r=3V

πh=3·72

π·6≈3.38514cm

Answer:

7238.23

Step-by-step explanation:

Answer:

8-x

Step-by-step explanation:

just like you are 20m tall last month and then 30 m tall this week

you grew 10 m additional

Answer:

Given inequality:

Solve in parts:

Combine into one:

or

Answer:

Percentage decrease is 93‰

Step-by-step explanation:

[tex]270 \div \frac{ {3}^{4} }{9} + 40 \times (15 - 5) \\ = 270 \div \frac{3 \times 3 \times 3 \times 3}{9} + 40 \times (10) \\ = 270 \div \frac{81}{9} + 40 \times 10 \\ = 270 \div 9 + 40 \times 10 \\ = 30 + 400 \\ = 430[/tex]

Answer:

x=-40,0

y=0,15

Step-by-step explanation:

intercepts are points where the graph cuts the axes

Answer:

(- 40, 0 ) and (0, 15 )

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses, then

x- intercept = (- 40, 0 )

The y- intercept is the pont on the y- axis where the line crosses, then

y- intercept = (0, 15 )

Answer:

p = 308

Step-by-step explanation:

Answer:

I would say 16/663 but I still have a suspicion it may be 20/663

Step-by-step explanation:

Answer:

20/633

Step-by-step explanation:

The probability of drawing an even card is the total number of even cards divided by the total number of cards. There are 5 even values (2,4,6,8,10) and 4 of each in the deck. That means there are 20 even cards in a deck of 52 cards. The probability is 20/52.

Next, the probability of drawing a Queen is calculated, but now there are only 51 cards total because you removed the first card. There are 4 Queens in a deck of 51 cards. The probability is 4/51.

Therefore, the probability of these two events is the product of the probability of each: (20/52)(4/51) = 20/663

Answer:

Multiply 17 by 100 / 12.5 to get the answer

Answer:

Step-by-step explanation:

Answer:

B) -1/2

Step-by-step explanation:

(2, 3) and (4, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2-3)/(4-2)

m= (-1)/2

m= -1/2

The Slope of the given line is -1/2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We take two points from the graph as (2, 3) and (4, 2).

Now, the slope of line is

= (3-2)/ (4-2)

= -1 / 2

= -0.5

Using Slope intercept form

y= mx+ b

y= -0.5x+ b

and, b = 4

so, the Equation of line is y= -0.5x+ 4.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

Answer: y=2x

Step-by-step explanation:

Answer:

The second choice has the largest rate of change by 3

Step-by-step explanation:

you find the slopes of all of them.

# 1 has a slope of 2

# 2.   [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]  = [tex]\frac{12 - 6}{3 - 1}[/tex] = [tex]\frac{6}{2}[/tex] = 3

# 3. has a slope of -5

# 4. [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex] = [tex]\frac{2.5 - 3}{1 - 0}[/tex] = [tex]\frac{-0.5}{1}[/tex]= -0.5

Answer:

B

Step-by-step explanation:

We will first look at the end behavior of the graph

Is it down then up which means that the degree is 3 and the coeficcent is positive

this leaves B or C

We then know that the x intercepts are (-2,0) (1,0) (3,0)

The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!

looking at the B we have

-2³-2*-2²-5(-2)+6

this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)

You can also factor it and find the zeroes that way, but it's just more work

Answer:

1 ) - 15

2 ) 21

3 ) 49

4 ) 39

5 ) 89

Step-by-step explanation:

1 )

( - 8 ) + ( - 7 )

= - 8 - 7

= - 15

2 )

( + 12 ) + ( + 9 )

= 12 + 9

= 21

3 )

( - 43 ) + ( - 6 )

= - 43 - 6

= - 49

4 )

( + 23 ) + ( + 16 )

= 23 + 16

= 39

5 )

( + 73 ) + ( + 16 )

= 73 + 16

= 89

Answer:

the answer is 484

Step-by-step explanation:

volume of the pyramid = (11×11×12) ÷3 =484

Answer:

the answer would be 385

Step-by-step explanation:

just listen to this because I did this last year.

11 by 11 is 121

11 by 12 is 132

you can multiply by two and get all 4 triangles done and the answer would be 385

Answer:

There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

Given

[tex]Pairs \to Dots[/tex]

[tex]1 \to 1[/tex]

[tex]2 \to 3[/tex]

[tex]3 \to 5[/tex]

[tex]4 \to 3[/tex]

[tex]5 \to 1[/tex]

Required

What does the 3 on 4 represents?

First, we plot the dot plot.

See attachment for plot

The dots represent the number of student

So 3 dots on 4 means that:

[tex]Students \to 3[/tex]

[tex]Pairs \to 4[/tex]

This implies that there are 3 students have exactly 4 pairs

Answer:

D) There are exactly 3 students with 4 pairs of shoes.

Step-by-step explanation:

It says number of pairs on the bottom which means how many and 1, 2, 3, 4, 5 are the pairs of shoes.

At the top it says Students' pairs of shoes which is the dots and that means how many students have that amount.

Hope I helped!!

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

Answer:

Length of rectangle parking lot = 94 m

Width of rectangle pool = 85 m

Step-by-step explanation:

Given:

Perimeter of rectangle = 300 m

Width of rectangle parking lot = 56 m

Find:

Length of rectangle parking lot

Area of rectangle pool = 8,245 m²

Length of rectangle pool = 97 m

Find:

Width of rectangle pool.

Computation:

1. Perimeter of rectangle = 2[l+b]

2[56 + l] = 300

56 + l = 150

Length of rectangle parking lot = 94 m

2. Area of rectangle = L x B

97 x Width of rectangle pool = 8,245

Width of rectangle pool = 85 m

Answer:

The length of the rectangle parking lot is 94 meters.

Rectangle pool width = 85 m

Step-by-step explanation:

i hope it helpss

Answer:

Divide the two

Step-by-step explanation: