f (x) = 3x - 5, find f (7)

Answer:

(x +13)(x + 2)

Step-by-step explanation:

Sum = 15

Product = 26

Factors = 2 , 13

When we add the factors , we get 15 ( 13 +2 = 15)

When we multiply 2 and 13, we get 26 (13*2 = 26)

x² + 15x + 26 = x² + 13x +2x  + 26

                     =x(x + 13) + 2(x + 13)

                      = (x +13)(x + 2)

So far as to attempt this question we can do either it by factorisation method by creating factors OR by splitting middle term method.

[tex]\mapsto\sf{ {x}^{2} + 15x + 26}[/tex]

Splitting middle term 15x in terms of 13x and 2x gives their sum to 15x and their product is equal to 26.

[tex]\mapsto\sf{ {x}^{2} + 13x + 2x + 26 = 0}[/tex]

[tex]\mapsto\sf{x(x + 13) + 2(x + 13)} = 0[/tex]

[tex]\mapsto\sf{(x + 2)(x + 13) = 0}[/tex]

CASE 1:

[tex]\mapsto\sf{x + 2 = 0}[/tex]

CASE 2:

[tex]\mapsto\sf{x + 13 = 0}[/tex]

Thus,

[tex]\sf{ \therefore \: ( {x}^{2} + 15x + 26) = (x + 2)(x + 13)}[/tex]

PS: (Factorisation method is been resolved in attachment)

Answer:

5

Step-by-step explanation:

Answer:

10.25

Step-by-step explanation:

4x+1=42

42-1=41

4x=41/4

x=10.25

Answer:

41/4 or 10.25

Step-by-step explanation:

4x=42‒1

4x=41

4x/4=41/4

x=10.25

i think it is easy &it helps you

The expression which represent the factored form of 2x² - 25x + 63 is (x - 9)(2x - 7)

2x² - 25x + 63

check all that apply

O (X+9)(2x+7)

= 2x² + 7x + 18x + 63

= 2x² + 25x + 63

False

O (X - 9)(2x - 7)

= 2x² - 7x - 18x + 63

= 2x² - 25x + 63

True

O (X+7)(2X+9)

= 2x² + 9x + 14x + 63

= 2x² + 23x + 63

False

O (X - 7)(2x - 9)

= 2x² - 9x - 14x + 63

= 2x2 - 23x + 63

False

Learn more about factorization:

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Answer:

How do you multiply 18 by 5/6? Here we will show you step-by-step how to solve 18 times 5/6, which can be written as follows:

18

 x    

5

6

Step 1: Setup

First of all, note that 18 is the same as 18/1 since 18 divided by 1 is 18. Therefore, start by setting up the problem like this:

18

1

 x    

5

6

Step 2: Multiply

Multiply the numerators together (18 x 5 = 90) and multiply the denominators together (1 x 6 = 6) and make it into one fraction like so:

90

6

Step 3: Minimize

The greatest common factor of 90 and 6 is 6. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:

15

1

Step 4: Convert

Convert the improper fraction above to a whole number to get the answer:

15

That's it! Now you know how to calculate 18 times 5/6.

Answer:

15

Step-by-step explanation:

First turn the 18 into a fraction: 18/1

Next put the two fractions into an equation: 5/6 x 18/1 = ?

Then we mutiply the top numbers and the bottom numbers: 90/6

Finally since the fraction is top heavy, we divide to make it eithera lower fraction or a full number: 90/6 = 15

Your final answer will be 15 :)

Have an amazing day!!!

PLEASE RATE AND MARK BRAINLIEST!! :)

The answer is "C" -- 1/7

Step-by-step explanation:

Because 4 of the 28 kids in her class chose animated and 4/28 simplified is 1/7.

Answer:

18 btw all you have to do is distribute

Step-by-step explanation:

12 + 20 - 18 + 4

12 + 2 + 4

12 + 6

18

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Answer:

w=-8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

39−12w=7−16w

39+−12w=7+−16w

−12w+39=−16w+7

Step 2: Add 16w to both sides.

−12w+39+16w=−16w+7+16w

4w+39=7

Step 3: Subtract 39 from both sides.

4w+39−39=7−39

4w=−32

Step 4: Divide both sides by 4.

4w/4=-32/4

Answer:

$5,940

Step-by-step explanation:

x/22 000 = 27/100

(part/whole)=(%/100)

(x)(100)=(22)(22 000)

Butterfly Method

100x=594 000

Divide by 100 on both sides to get x

x=5940

Answer:

x=4

Step-by-step explanation:

x-10= -6

 +10 +10

x   =   4

Answer:

y=1.4x+2

Step-by-step explanation:

Here is what the graph should look like:

A line with a slope of [tex]\frac{1}{4}[/tex], and a y intercept of 2:

y=1.4x+2

x=0.713y+-1.41

Has y intercept of: 2

Has X intercept of: -1.429

Sam bought a candy for 3 dollars.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given that;

Sam bought a soft drink for four dollars and six candy bars.

And, He spent a total of 22 dollars.

Let the cost of each candy = x

So, We can formulate by the given condition,

⇒ $4 + 6x = $22

⇒ 4 + 6x = 22

⇒ 6x = 22 - 4

⇒ 6x = 18

⇒ x = $3

Learn more about the linear expression visit:

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Answer: E.  (x+5)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

We are given that the center is (-5,5), which means that h = -5 and k = 5.

We are also given that the radius (r) = 3, which means r^2 = 9.

Therefore, the equation should be (x-(-5))^2 + (y-5)^2 = 9.

--> (x+5)^2 + (y-5)^2 = 9

Answer:

the answer is d

Step-by-step explanation:

Answer:

Could you comment to this with the question i could easily use a calculator to find it for you sorry im a tad bit lasy about copying down from a image

Step-by-step explanation:

Answer:

√74

Step-by-step explanation:

We know the pythagorian triplet that,

A^2 + B^2 = Hypotenuse^2

Or, 5^2 + 7^2 =Hypotenuse ^2

Or, 25+49= Hypotenuse^2

Or, 74 = Hypotenuse^2

Hypotenuse= √74

Hope it helps

Mark me brainliest.

Answer:

-3/4

Step-by-step explanation:

the rate of change is the slope of the line

7-3/0-(-4) = -3/4

Answer:

$11,000 = 1404.7yuan

Step-by-step explanation:

$1 = 0.1277 yuan (multiply both sides by 11,000)

$1 × 11,000 = 0.1277 × 11,000 yuan

$11,000 = 1404.7 yuan

Answer:

a = 60° or π/3

Step-by-step explanation:

Given :-

sin² a/2 - sin a/2 + 1/4

To find :-

a

Solving :-

sin² a/2 - sin a/2 + 1/4 = (sin a/2 - 1/2)² = 0

sin a/2 - 1/2 = 0

sin a/2 = 1/2

a/2 = 30°

Solution :-

a = 60° or π/3

Answer:

the simplest form of this expression is 10+4x

Answer:

34

Step-by-step explanation:

34*34=(30+4)^2=900+16+240=1156

Answer:

x=4

Step-by-step explanation:

I explained the answer to the question in the photo

Answer:

C. density = mass / volume

Step-by-step explanation:

The dot on the number line, that Craig says shows a value of one third

is halfway between 0 and one half which is one quarter therefore;

A possible number line obtained from a similar question posted on a

website online is attached;

From the attached drawing, we have, that the half-way marking between

1 and 0 is 2/3, and the half way between 0 and 2/3 is 1/3. However, half

between 0, and 1 is 1/2

Therefore, the half-way marking should be 1/2 rather than 2/3

Which gives;

Learn more about distances on the number line here;

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The expression which is equal to the m times, m times, m times, m times, m rewritten in exponential form as,

[tex]m^5[/tex]

The exponent or power of a number represent the multiplication of the that number to the power times.

Let suppose a number 2 has the power 2. Then it will be equal to,

[tex]2^2=2\times2[/tex]

Similarly, 3 times of number 2 equal to the number 2 with exponent 3.

[tex]2\times2\times2=2^3[/tex]

The expression is m times, m times, m times, m times, m. It can be written as,

[tex]m\times m\times m\times m\times m\\[/tex]

The number m is total 5 time multiply by itself. Thus, the exponential form of the above equation is,

[tex]m^5[/tex]

The expression which is equal to the m times, m times, m times, m times, m rewritten in exponential form as,

[tex]m^5[/tex]

Learn more about the exponents power here;

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Answer: M5 is the correct answer or A

Step-by-step explanation:

Answer:

The type of a terabyte is 2⁴⁰

Step-by-step explanation:

Given in the question ;

A kilobyte is 2¹⁰ bytes in size.

A gigabyte is 2³⁰ bytes in size.

The size of a terabyte is the product of the two given above.

Apply the laws of indices where you perform product and the base is the same, you add the powers and maintain the base as;

=2¹⁰ ₓ 2³⁰ = 2⁽¹⁰⁺³⁰⁾

=2⁴⁰