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lakkis [162]
2 years ago
9

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. A 2-column table wi

th 2 rows. The labels for the columns and rows are blank. First column entries are 4 x squared, M Subscript 2 Baseline. Second column entries are M Subscript 1 Baseline, negative 5. Which terms should Paul write in squares M1 and M2? 5x and −4x –5x and 4x –2x and 10x 2x and −10x
Mathematics
1 answer:
Troyanec [42]2 years ago
8 0

Answer:

  5x  and  -4x

Step-by-step explanation:

Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...

  5x  and  -4x

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Each cone of the hourglass has a height of 15 millimeters. The total height of the sand within the top portion of the hourglass
BARSIC [14]
Calculate the volume of sand, the cone will be completely filled and the cylinder will have sand up to the 30 mm level.

Volume of sand will = the volume of the cone:
= 1/3 * pi * (6 mm)^2 * 15
= 1/3 * pi * 36 * 15 =180 pi cubic mm

the cylinder will have a volume of sand equal to:
= pi * (6 mm)^2 * 30 mm
= pi * 36 sq mm * 30 mm 
= 1080 pi cubic mm

The total sand is the sum:
= 1080 pi cubic mm +180 pi cubic mm
= 1260 pi cubic mm. <span>
</span>
5 0
2 years ago
Read 2 more answers
1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
EleoNora [17]

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than henry.

Step-by-step explanation:

The difference in height can be found using subtraction.

Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.

n = Porter's height

m = Henry's height

Difference in height is thus:

n-m

Answer: Porter is n-m inches taller than Henry.

To find out how many times taller Porter is than Henry, we can use division.

An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.

If we divide Porter's height by Henry's height...

\frac{200}{100}=2

..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.

Using our values, n and m, we'll divide n by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than henry.

3 0
2 years ago
The square of a number decreased by 3 times the number 28 find all possible values for the number
stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

a^2 - 3a = 28

a^2 - 3a - 28 = 0

Let us solve the above quadratic equation

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

5 0
2 years ago
Calculate the loss on selling 50 shares of stock originally bought as 13 3/4 and sold at 12
kaheart [24]
First we multiply 50 and 13 and 3/4 
13 and 3/4 could also = 13.75 
sooo lets multiply 
50 x 13.75 = 687.50
so $687.50 was spent on the stock 
now lets fund out how much they sold them for 
we multiply 12 and 50 
50 x 12 = 600
now we need to find out the loss by subtracting 
$687.50 - $600 =$ 87.50
so that means this company lost $87.50 :(
hope this helps :)
and don't forget 2 
MARK ME BRAINLIEST! :D
5 0
2 years ago
Read 2 more answers
During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = -16
jolli1 [7]
To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.
h = -16t^2 + 56t
h = -16t^2 + 156t - 248
-16t^2 + 56t = -16t^2 + 156t - 248
You can cancel out the -16t^2's to get
56t = 156t - 248
=> 0 = 100t - 248
=> 248 = 100t
=> 2.48 = t
Using this time value, plug into either equation to find the height.
h = 16(2.48)^2 + 56(2.48)
Final answer:
h = 40.4736
Hope I helped :)
6 0
2 years ago
Read 2 more answers
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