Multiply. Enter the product in simplest form.


7
9
×
4
7
=

First, you should simplify the function expression.

3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k

In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder.  The first two terms clearly divide by x.  However, the last two do not.  In order for this to work out where k is constant, 5k would have to cancel out the  +15 term, leaving nothing to divide by x.

So: 15 + 5k = 0

5k = -15

k = -3

Answer:

1/6a - 1/6

Step-by-step explanation:

-2/3a + 5/6a can be simplified:

1. Make a common denominator → -4/6a + 5/6a

2. Simplify '-4/6a + 5/6a' → 1/6a

Answer:

1/6a - 1/6

Answer:

[tex] - \frac{1}{6} (a +1 ) \\ [/tex]

Step-by-step explanation:

[tex] - \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6} \\ - \frac{2 \times 2}{3 \times 2}a + \frac{5}{6} a - \frac{1}{6} \\ - \frac{4a + 5a}{6} - \frac{1}{6} \\ - \frac{1}{6} a - \frac{1}{6} \\ - \frac{1}{6} (a + 1) \\ [/tex]

Answer:

16:18

Step-by-step explanation:

4 * 4= 16

2*4=8

Therefore

The ratio is 16:8

Hope this helps

Have a nice day! :D

Give brainliest if possible pls :)

Answer:

25 ft^2

Step-by-step explanation:

In direct variation, if y varies directly with x, then the equation has the form

y = kx,

where k is the constant of proportionality. y is proportional to x.

Let's call the area y and the distance x.

Here, the area varies with the square of the distance, so the equation has the form

y = kx^2

Here, y is proportional to the square of x.

We can find the value of k by using the given information.

y = kx^2

When x = 20 ft, y = 16 ft^2.

16 = k(20^2)

k = 16/400

k = 1/25

The equation of the relation is:

y = (1/25)x^2

Now we use the equation we found to answer the question.

What is y (the area) when x (the distance) is 25 ft?

y = (1/25)x^2

y = (1/25)(25^2)

y = 25

Answer: 25 ft^2

9514 1404 393

Answer:

  4 + y < 6

  see attached for a graph

Step-by-step explanation:

The English description "the sum of A and B" is written symbolically as ...

  A + B

The symbol for "is less than" is <.

Then "the sum of 4 and y is less than 6" will be written ...

  4 + y < 6

__

The solution to this is found by subtracting 4 from both sides of the inequality:

  4 +y -4 < 6 -4

  y < 2 . . . . . . . . . simplified solution

The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.

Answer:

Number 300,684 spell , write in words: three hundred thousand, six hundred and eighty-four . Ordinal number 300684th is said and write: three hundred thousand, six hundred and eighty-fourth. Color #300684. The meaning of number 300684 in Maths: Is Prime? Factorization and dividers. The square root and cube root of 300684. The meaning in computer science, numerology, codes and images, writing and naming in other languages, other interesting facts.

Answer:

11

Step-by-step explanation:

f(16) = 7 + 16/4

= 7 + 4

= 11

Step-by-step explanation:

the area = [tex](\frac{1}{2}) (18)(4)\\[/tex] = [tex]36ft^{2}[/tex]

please give me a brainliest answer

Answer:  $1.40

Work Shown:

x = cost before markup

1.45x = cost after the 45% markup

1.45x = 2.03

x = (2.03)/(1.45)

x = 1.40

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

b)

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

Answer:

A number line with an open circle on 2, a closed circle on 6, and shading in between

Step-by-step explanation:

Given:

3x+1 > 7 → inequality A

4x ≤ 24 → inequality B

Step 1

Solve inequality A

3x+1>7

3x>7-1

x>2

the solution is the interval------> (2,∞)

Step 2

Solve inequality B

4 x ≤ 24

4 ≤ 6

the solution is the interval------> (-∞,6]

Step 3

Find the solution of the compound inequality

Solution A ∩ Solution B

(2,∞) ∩ (-∞,6]=(2,6]

therefore

The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between

Answer:

Your answer would be a number line with an open circle on 2, a closed circle on 6, and shading in between.

Step-by-step explanation:

i.e. it could also be written as:

3x + 1 > 7

3x > 7 - 1

3x > 6

x > 2

And the second inequality is:

4x < 24

4x < 6

Hence, the compound inequality could be represented as:

x>2 i.e. (2,∞)

and x≤6 i.e. (-∞,6]

Hence, the feasible region or the region that is common to both the inequalities is:

(2,6]

Hence, there will be a number line with open circle at 2 since 2 is not included in the domain and a closed circle at 6 and shading in between

Answer:

4x2-6x+6

Step-by-step explanation:

(9x2-2x) +(3x-5)+(m) =13x2-5x+1

(13x2-5x+1)-(9x2+x-5)=m

Answer:

The answer is 2/9

Step-by-step explanation:

I got it right on the test

Answer:  60%

Step-by-step explanation:

81/135= 60/100

your answer is 4.5 you're welcome :-)

Answer:4.5

Step-by-step explanation:

the rule is

positive - negative  changes to positive + positive so

3- (-1.5) changes to 3 + 1.5 which equals 4.5

Answer: 5 up and 7 side

Step-by-step explanation:

Answer:

-1190

Step-by-step explanation:

I'm gonna do some sketchy stuff doda doda

Answer:

25

Step-by-step explanation:

12x2=24-2x+1=25-2x

25-2x=y

    (0)

25=y

Answer:

5 degrees Fahrenheit

Step-by-step explanation:

-6 + 11 = 5

Answer:

Step-by-step explanation:

A)

According to dimensions of the garage, the scale is:

B)

Living room

Dimensions on paper:

C)

Actual dimensions:

D)

The area of the living room:

Cost of carpet:

Length

Width

Area

Total cost

Answer:

[tex] \rm y = x + 16 [/tex]

Step-by-step explanation:

A function is given to us and we need to write the inverse of the function in slope intercept form . The given function is ,

[tex]\rm\implies f(x) = x - 16 [/tex]

Let ,

[tex]\rm\implies y = f(x)[/tex]

So that ,

[tex]\rm\implies y = x - 16 [/tex]

Interchange x and y ,

[tex]\rm\implies x = y - 16 [/tex]

Solve for y ,

[tex]\rm\implies y = x + 16[/tex]

Now replace ,

[tex]\rm\implies y = f^{-1}(x) [/tex]

We have ,

[tex]\rm\implies f^{-1}(x) = x+16 [/tex]

And in slope intercept form ,

[tex]\rm\implies \boxed{\pink{\frak {y = x +16}}}[/tex]

Answer:

C

Step-by-step explanation:

Hope it helps

Answer:

for perimeter, you add all of the sides except the height which is 19. It's means that you add all of the numbers except 19

Answer:

f=12

yx=88

Step-by-step explanation:

Answer:

•Equation => 3d + 5

d = 3

3 x 3 + 5

9 + 5

14 = Answer

Hope it's helpful

Answer:

3d+5=9+5=14

Step-by-step explanation:

3(d)=3*3=9

D=3

+5=14, answer is 14

brainest?

Answer:

Ture I tink

Step-by-step explanation:

Answer:

from tjwuxrsnsu hshwjdysgw ehsshejisgwnd jrsysjsgshd

Answer:

7/10 or 70%

Step-by-step explanation:

because 10/10 is 100%-----> so 7/10----> 70%

Answer:

skip count by 2 on was and skip count by 6 on the butter

Step-by-step explanation: 2x5=10 6x5=30