In the expression below, a is an integer.
12x2 + ax - 20
If 3x + 4 is a factor of the expression above, what is
the value of a ?

Answer:

49

Step-by-step explanation:

because it is the middle

Answer:

y=10

Step-by-step explanation:

Answer:

Divide both sides by 4.75

Step-by-step explanation:

The goal is to get x by itself and 4.75 is attached by multiplication so doing the inverse will leave x alone.

Hope this helps! Have a great day!

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

The correlation coefficient (r) is calculated as:

[tex]r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}[/tex]

Using the given parameters, we have:

[tex]r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}[/tex]

Evaluate the exponents

[tex]r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}[/tex]

Evaluate the products

[tex]r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}[/tex]

Evaluate the differences

[tex]r = \frac{19168}{\sqrt{[396411*3264}}[/tex]

Evaluate the product

[tex]r = \frac{19168}{\sqrt{1293885504}}[/tex]

Evaluate the root

[tex]r = \frac{19168}{35970.6}[/tex]

Evaluate the quotient

[tex]r = 0.53[/tex]

Hence, the correlation coefficient is 0.53

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Answer:

answer is b

Step-by-step explanation:

Answer:

1

2

–

2

5

=  

1 × 5

2 × 5

–

2 × 2

5 × 2

=  

5

10

–

4

10

=  

5 – 4

10

=  

1

10

Step-by-step explanation:

Answer:

is there multiple choice options, I want to help but I'm not sure why it isn't 4

Answer:

223.8

Step-by-step explanation:

I failed the test to get the answer

Answer:

the answer is 223.8

Step-by-step explanation:

If there are 5,000 fish in the pond and the population is increasing by 3.1% each year.

After one year the population would be 15500?
so [tex]5000=x*3.1[/tex]

Since the cone has a base diameter of 20x cm, the weight of the cone in terms of x and pie is 6.50πx² N

The pressure on the horizontal ground due to the cone is given by P = W/A where

Making W subject of the formula, we have

W = PA

Since

So, W = PA

W = Pπd²/4

W = Pπ(0.2x)²/4

W = 0.04Pπx²/4

W = 0.01Pπx²

Substituting the values of the variables into the equation, we have

W = 0.01Pπx²

W = 0.01 × 650 N/m² × π(x m)²

W = 6.50πx² N

So, since the cone has a base diameter of 20x cm, the weight of the cone in terms of x and pie is 6.50πx² N

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under the same denominator r(r-4)

[6(r-4)] / (r(r-4)) + (4r) / (r(r-4)) = 1

(6r - 24 + 4r) / (r(r-4)) = 1

10r - 24 = r (r-4)

10r - 24 = r² - 4r

r² - 14r + 24 = 0

Δ = (-14)² - 4*1*24 = 100 = 10²

x' = (14 + 10) / 2 = 12

x" = (14 - 10) / 2 = 2

i'm french - so I answered as we learn in France :)

Answer:20

Step-by-step explanation: so first take out the amount of salary increased so it will be- 48-40=-8

After take out the percentage of the increased amount which was $-8 and the original amount which was $40 so 8/40 × 100

Percentage increase would be 16.67% or if thats not right try 20%

i hope this helps!!!!

Answer:

C

Step-by-step explanation:

Reflect over y axis the rotate 180 degrees.

Answer:

[tex]\frac{c}{2\pi } =r[/tex]

Step-by-step explanation:

c = 2πr

→ Divide both sides by 2π

[tex]\frac{c}{2\pi } =r[/tex]

Answer:

B

Step-by-step explanation:

Consider this:
Cheese Dip --> Burrito --> Chicken

Cheese Dip --> Burrito --> Beef

Assume Cheese Dip is your starting point and Chicken / Beef are your ending points. We already have two combos here.

Now looking at the diagram, we should see eight ending points in total.

Therefore, there would be eight combinations for Lelia to choose.

Answer:

6.25 & 8.25

Step-by-step explanation:

im probably wrong lol-

29/2 = x+x+2

14.5=2x+2

12.5=2x

therefore x = 6.25 but to fin the other x add 2

so then the longer piece would be 8.25

[tex]\red\leadsto[/tex]Let one piece of glass tubing be of length x in ,

[tex]\green\leadsto[/tex]then other piece will be of length(x+2) in since it is 2 in longer than other piece

[tex]\\[/tex]

>>>Total length of both the piece

= 29 in _ _ _ (1)

>>>Total length of both pieces = length of shorter piece + length of longer piece

[tex]\:\implies[/tex] Total length of both pieces = x+(x+2) _ _ _(2)

[tex]\\[/tex]

Equating (1) and (2)

[tex]\:\implies[/tex]x+(x+2) = 29

[tex]\:\implies[/tex]x+x+2= 29

[tex]\:\implies[/tex]2x+2 = 29

[tex]\:\implies[/tex]2x= 29-2

[tex]\:\implies[/tex]x= 27/2

[tex]\\[/tex]

>>Length of smaller piece =

[tex]\:\implies[/tex]x = 27/2 in

>>> Length of larger piece =

[tex]\:\implies[/tex](x+2) = 27/2 + 2 = 31/2 in

[tex]\\[/tex]

[tex]\longrightarrow[/tex]Thus, The pieces are 27/2 in and 31/2 in long

Answer:

$300

Step-by-step explanation:

$240 × 125% is $300

We can use the method of calculating the percentage of an amount to find out the discount amount. The new price of the dining table will be $300.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Therefore, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

We have been given that A store paid $240.00 for a dining table and The manager of the store marks up the table by 125%.

Therefore,  125% of $240

$240 × 125%

$240 × 1.25

= $300

Hence, the new price of the dining table will be $300.

We can use the method of calculating the percentage of an amount to find out the discount amount.

Learn more about unit price here:

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Answer:

The left table's answers are  5, 30, and 60.

The right table's answers are 20, 36, and 22.5

And the bottom table's answers are 32, 12, and 40

Hope that helps!

Answer:

A, C, E

Step-by-step explanation:

Answer:

Complementary angles

Adjacent angles

Step-by-step explanation:

Complementary Angles:  Two angles whose measures sum to 90°

Vertical Angles: a pair of non-adjacent angles formed by the intersection of two straight lines. Vertical angles are congruent

Adjacent Angles: Two angles that share a common side and a common vertex, but don't overlap.

Supplementary Angles:  Two angles whose measures sum to 180°

Therefore, angles 1 and 2 are:

Answer:

like they said

Step-by-step explanation:

the answer is 4.5

Answer:

Step-by-step explanation:

Go

Step-by-step explanation:

there's no such that in mathematics

Answer:

I don't know

Step-by-step explanation:

it depends on your definition and question

Answer:

it has no solution.......

answer will be 3x+4 = 3x+4 i.e, 0=0 ,so

but if 3x+4 = 0 , x= -4/3 . Its a linear equation and has only one solution

Answer:

Infinitely many solutions.

Step-by-step explanation:

3x + 4 = 3x + 4

3x = 3x

Divide 3 from both sides.

x = x

Therefore, this equation has infinitely many solutions.

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Example ~

x = 1

(3 × 1) + 4 = (3 × 1) + 4

3 + 4 = 3 + 4

7 = 7

Answer:

what do u mean surveyed?

Answer:

The choices CDE

Step-by-step explanation:

CDE

Answer:

£79

Step-by-step explanation:
- Multiply 1.25
- 1.25 x 63.20
Tip:
We multiply from 1.25 because to get from 3 euros. 4 pounds is 1.25

Answer:

The answer is 20:15, or 4:3 simplified