HELP ASAPUse the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x + 4).
P
p +
2.
-2.
9
-6
6
4
3
-1
1
-3
4
A. 2 and -6
B. -3 and 4
C. -2 and 6
D. 3 and -4

The answer is....................................................

Answer:

√13

Step-by-step explanation:

if you try Pythagorean's theorem for each one, you should get that √13 doesn't work.

Answer:

13

Step-by-step explanation:

Answer:

32 ounces

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 16 x 2 = 32 ounces

Answer:

A) -10 + (-10)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

Answer:

[tex]g(x) = 4(x - 2)^2 -9[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 4x^2 - 16x + 7[/tex]

Required

Complete the square

Rewrite so that [tex]x^2[/tex] has 1 coefficient

[tex]g(x) = 4(x^2 - 4x) + 7[/tex]

Take half of the coefficient of x

[tex]\frac{4}{2} = 2[/tex]

Square the result

[tex](\frac{4}{2})^2 = 2^2[/tex]

[tex](\frac{4}{2})^2 = 4[/tex]

Add and subtract the result in the bracket

[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]

Expand the bracket to remove -4

[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]

[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]

Expand the bracket

[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]

Factorize

[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]

Factor out x - 2

[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]

Express as square

[tex]g(x) = 4(x - 2)^2 -9[/tex]

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

Explanation:

The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.

The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.

We can say:

second term = (first term) + (common difference)

second term = [tex]a_1 + d[/tex]

second term = 21 + (-3)

second term = 18

Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.

The arithmetic sequence would be: 21, 18, 15, 12, 9, ...

The first three terms are 21, 18, and 15.

Answer:

big spoon

Step-by-step explanation:

The Big spoon liquid volume is best measured in milliliters.

Given that;

The objects are,

''Bathtub, Milk carton, big spoon or small fish tank''.

We have to find the best objects liquid volume to measured in milliliters.

How to find the appropriate unit for measurement?

Normally we use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.

The volume of Bathtub, Milk carton, and small fish tank is more than the volume of big spoon.

And, The volume of liquid in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison Big spoon.

Volume of liquid in a big spoon is measured suitably if we use milliliter. It is because the big spoon contains liquid with volume few milliliters or few hundred milliliters.

Hence, We use milliliters for measuring liquid in big spoon.

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Answer:

x = 2.52

feel free to hit the crown

Answer:

2.52

Step-by-step explanation:

30.16 - 17.56 = 12.6

12.6 / 5 = 2.52

To verify if you plug it in, 30.16 = 17.56 + 5(2.52)

I hope it helped :)

Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.

Answer:

BD is a diameter

Step-by-step explanation:

Given:

Width of the canvas = 49 inches

The height of the canvas is 3 inches less than the width.

To find:

The area of the canvas.

Solution:

It is given that,

Width of the canvas = 49 inches

The height of the canvas is 3 inches less than the width

So, the height of the canvas is:

[tex]h=49-3[/tex]

[tex]h=46[/tex]

We know that the shape of the canvas is a rectangle and the area of the rectangle is:

[tex]A=length\times width[/tex]

The two dimensions of the canvas are  46 inches and 49 inches. So, the area of the canvas is:

[tex]A=46\times 49[/tex]

[tex]A=2254[/tex]

Therefore, the area of the canvas is 2254 square inches.

Answer:

120cm^3

Step-by-step explanation:

With the radius of 6, multiply 6 by itself to square it.

36

Then multiply that by the height of 10

360

Lastly divide by 3

120cm

Answer:

120

Step-by-step explanation:

Answer:

x=5.886 , x=1.614

Step-by-step explanation:

Given data

2w^2 - 15w + 19 = 0

a= 2

b= -15

c= 19

The expression for the Quadratic Formula is

x=(-b±√(b²-4ac))/(2a)

substitute

x=(-(-15)±√((-15)²-4*2*19))/(2*2)

x=(15±√225-152))/(4)

x=(15±√73))/(4)

x=(15±8.544))/(4)

x=(15+8.544))/(4) , x=(15-8.544))/(4)

x=23.544/4 , x=6.456/4

x=5.886 , x=1.614

csc theta = 29/30

Step-by-step explanation:

sec theta = hypotenuse/adjacent = 29/21

where hypotenuse = 29 and adjacent = 21

We can use these values and Pythagorean theorem to find the value of the opposite side:

(opposite)^2 = (hypotenuse)^2 - (adjacent)^2

= (29)^2 - (21)^2

= 400

or

opposite = 20

Therefore,

csc theta = hypotenuse/opposite = 29/20

Answer:

C

Step-by-step explanation:

Answer:

is C

Step-by-step explanation:

A pex i took the test

give brainlist if feeling nice

Answer:

Step-by-step explanation:

use the slope formula

Answer:

1) 3/2  2) 1  3)-5/3  4) 5/4  5) -5/9  6) 4/5  7) 8/5  8) 1/4  9) 1/2  10) 2/3  11) 0  12) -1/3  13) 1  14) -1

Step-by-step explanation:

Answer:

what you need help with? there is no picture or question

Step-by-step explanation:

Answer:

Solution given:

area of semi circle h=½πr²=½×π×5²=39.27in²

area of rectangle EFHI=l×b=6×3=18in²

area of rectangle CDFG=l×b=17×2=34in²

Total area: 39.27+18+34=91.27 square inches

Answer:

The area of the factory is about 3000 m more than the area of the stadium

Step-by-step explanation:

The area of the factory can be said to be 3000m² more than the area of the stadium.

The area of the factory is given as S1

S1 = √80² + 200² * √40² + 100²

= √6400+40000 * √1600 * 10000

=√46400 * √11600

= 23200m²

S2 = 80² * 3.14

= 20096

The difference in areas = S1 - S2

= 3000m²

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Answer:

A - B - C

Step-by-step explanation:

Answer:

B is right becuase out of all of the answers this one is the least value with 26

Step-by-step explanation:

Answer:

The answer is "36".

Step-by-step explanation:

Please find the complete question in the attached file.

Answer:

1. 37.5 (70*0.50)

2. 12 (60*0.20)

3. 45 (60*0.75)

Step-by-step explanation:

m * p

(percentage in decimal form)

Answer:

A) -15

Step-by-step explanation:

Answer:

A. - 15

Step-by-step explanation:

Got it right

Answer: (b)

Step-by-step explanation:

Given

[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]

[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]

[tex]\left | p+q\right |=2x+4[/tex]

for two complex number, [tex]z_1,z_2[/tex]

[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]

Apply the above the property

[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]

Also, the absolute value of each complex number must be greater than or equal to zero

[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]

Taking the intersection of the above values of x, we get

[tex]x\in [-2,-\dfrac{4}{3}][/tex]  

Answer:

The  median of the distribution is (first option);

1

Step-by-step explanation:

The values on the given table are presented as follows;

[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6

Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1

The median value of the distribution of X is 1

The cumulative probability of the distribution is:

[tex]\sum E(x) = 1[/tex]

The median position is calculated as:

[tex]Median = \frac{\sum E(x)}{2}[/tex]

This gives

[tex]Median = \frac{1}{2}[/tex]

Median = 0.5 th

This mean that the median is at the 0.5th position

The value of the spin at the 0.5th position is 1

Hence, the median value of the distribution of X is 1

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Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10

Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).