Which of the following models can be used to find the product of (2x + 1)(x + 6)?

A
2x(x + 6) – 6(x + 1)

B
2x(x – 6) + 1(x – 6)

C
x(x – 6) + 2x(x – 6)

D
x(2x + 1) + 6(2x + 1)

Yes, The expression [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex] is equivalent to [tex]-\frac{1}{8} (59-35x)[/tex]

Explanation:

The given expression is [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex]

Solving, we get,

[tex]\frac{1}{8} -\frac{30}{4}+\frac{30}{8}x+\frac{5}{8} x[/tex]

Adding the similar terms, we have,

[tex](\frac{1}{8} -\frac{30}{4})+(\frac{30}{8}x+\frac{5}{8} x)\\[/tex]

[tex]\frac{1-60}{8} +\frac{35}{8}x[/tex]

Adding, we get,

[tex]-\frac{59}{8} +\frac{35}{8}x[/tex]

Taking out the common term [tex]-\frac{1}{8}[/tex] , we have,

[tex]-\frac{1}{8} (59-35x)[/tex]

Thus, the expression [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex] is equivalent to [tex]-\frac{1}{8} (59-35x)[/tex]

Answer:135 degrees

Step-by-step explanation: Pretend that the 2 circles are equal, and connect the lines that form the angle. You can draw a right triangle on the circle that is on the right, connecting 2 radii to form it. Then, because the two radii are of equal length, you know that it is a 45-45-90 triangle. Then draw a line that is from the top line and connect in to G. That line is perpendicular, so 45 degrees plus 90 degrees is 135 degrees. I hope this helps!

Multiply the base and height (28.3*12.8=362.24)

Divide by 2: 181.12

So the answer is C

Hope this helped

Answer:

24 cubic inches

Step-by-step explanation:

1 ft = 12 inches

convert all dimensions to inches

1/4 ft = 1/4 * 12= 3 inches

1/6 ft = 1/6 * 12 = 2 inches

1/3 ft = 1/3 * 12 = 4 inches

Volume of a box = L*W*H

= 3 * 2 * 4

= 24 cubic inches

Therefore 1/72 ft will be 1/72 * 12

= 1/6 inches

Answer:

its a triangle

Step-by-step explanation:

3 sides

Answer:

the shape is known as a triangle

Answer:

6 lots of 5 means 6×5=30

Step-by-step explanation:

Answer:

Multiplication - When we multiply we find 'lots of'

6 lots of 5 = 30

6×5=30

Answer:

the correct answer for x is 8

Step-by-step explanation:

since:     1/2 ((4) (8) - 8) + (3) (8) = 36

The correct value for x that makes the equation true is 8.

To solve the equation [tex]\( \frac{1}{2}(4x-8)+3x=36 \)[/tex], follow these steps:

1. Distribute the [tex]\( \frac{1}{2} \)[/tex] to both terms inside the parentheses:

[tex]\[ \frac{1}{2} \cdot 4x - \frac{1}{2} \cdot 8 + 3x = 36 \][/tex]

2. Simplify the equation by multiplying:

[tex]\[ 2x - 4 + 3x = 36 \][/tex]

3. Combine like terms:

[tex]\[ 5x - 4 = 36 \][/tex]

4. Add 4 to both sides of the equation to isolate the term with x:

[tex]\[ 5x = 36 + 4 \][/tex]

[tex]\[ 5x = 40 \][/tex]

5. Divide both sides by 5 to solve for x:

[tex]\[ x = \frac{40}{5} \][/tex]

[tex]\[ x = 8 \][/tex]

Answer:

1) x = 25    2) x = 23; m∠CBD = 80 degrees

Step-by-step explanation:

1) 5x + 15 = 6x - 10           Set both equations equal to each other

- 5x         - 5x                  Subtract 5x from both sides

15 = x - 10

+ 10    + 10                       Add 10 to both sides

25 = x

2) 2x + 14 + x + 7 = 90         Set the equations equal to 90

   3x + 21 = 90                     Combine like terms

         - 21  - 21                      Subtract 21 on both sides

3x = 69                                 Divide both sides by 3

x = 23

Plug 23 into the equation

2(23) + 14 = 60

Answer:

1/24

Step-by-step explanation:

As you go fraction to the next fraction you divide by 2.

2/3 divided by 2 = 1/3

1/3 divided by 2 = 1/6

the rule is "divide by 2"

Final answer:

The next fraction in the sequence is 1/24, found by continuing the pattern of halving each successive fraction.

Explanation:

To determine the next fraction in the sequence 2/3, 1/3, 1/6, 1/12, we observe a pattern. The second fraction is half of the first, the third is half of the second, and the fourth is half of the third. By continuing this pattern, to find the next fraction, we need to take half of the last fraction in the sequence.

To solve the more difficult problem, multiply the numerator and denominator by a skillfully chosen factor: 1/2. For the fraction 1/12, we multiply both the numerator (1) and the denominator (12) by 1/2 to get our next fraction:

Therefore, the next fraction in the sequence is 1/2 divided by 6 which simplifies to 1/24.

Step-by-step explanation:

Weight of all female giraffes = 5x kg

Weight of all male giraffes = 7y kg

Mean weight of all giraffes

[tex] = \frac{5x + 7y}{5 + 7} \\ \\ = \frac{5x + 7y}{12} \: kg[/tex]

The mean weight of all the giraffes, in terms of x and y, is calculated by adding the total weights of both female and male giraffes and then dividing by the total number of giraffes. The expression for the mean weight is (5x + 7y) / 12.

To find the mean weight of all the giraffes in terms of x and y, we must first calculate the total weight of female and male giraffes separately and then combine these totals to find the overall mean.

For the 5 female giraffes: Total weight = 5 × x = 5x kg

For the 7 male giraffes: Total weight = 7 × y = 7y kg

Then, we add these together to get the combined total weight: Combined total weight = 5x + 7y kg

Since there are 5 + 7 = 12 giraffes in total, we then divide the combined weight by the number of giraffes to find the overall mean weight.

Overall mean weight = (5x + 7y) / 12

Answer:

7.3 divided by 4.38

Step-by-step explanation:

Answer: [tex]y - 3 = 6 (x - 8 )[/tex]

Step-by-step explanation:

The equation of line in point slope form is given as :

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

[tex]x_{1}[/tex] = 8

[tex]y_{1}[/tex] = 3

[tex]m = 6[/tex]

substituting into the formula , we have :

[tex]y - 3 = 6 (x - 8 )[/tex]

Answer:

Step-by-step explanation:

Since g is a one-one function, its inverse exists.

Let (g^-1)(-6) = t

We have to find t

-5

(g^-1)(-6) = t inplies

-6 = g(t)

-6 = 5t + 19

5t = -25

t = -5

Answer:

D) 68 carnations & 32 roses

Step-by-step explanation:

First of all, we need to identify the parts of the problem that we already know.

1) The events committee bought a total of 100 flowers.

2) The events committee spent a total of $139 on the carnations and roses, combined.

3) One carnation costs $0.75

4) One rose costs $2.75

We can create a formula to find the price of the flowers:

(x times $0.75) + (y times $2.75)= $139

If we calculate it out, the only option that fits the equation is 68 carnations and 32 roses.

Answer:

the sum interior angles of a triangleis equal to 180

so (x + 13) +(x +23) + 90 = 180

2x + 36 + 90 = 180

2x = 180 - 126

2x = 54

x = 27

Step-by-step explanation:

Given,

f(x) = 2x - 8 and g(x) = x + 9

To find, the values of  f(g(x)) and g(f(x)) = ?

f(x) = 2x - 8

∴  f(g(x)) = 2(g(x)) - 8

= 2(x + 9) - 8

= 2x + 18 - 8

= 2x + 10

Also,

g(x) = x + 9

g(f(x)) = f(x) + 9

= 2x - 8 + 9

= 2x + 1

∴ f(g(x)) = 2x + 10 and g(f(x)) = 2x + 1

Answer:

f(x)=x^2+8

Step-by-step explanation:

To move a function upwards, you need to shift the function up the y axis. The function intersects the y axis at 3, so you need to add 5 to 3 to shift the graph up 5 units. I hope this helps you!

Answer:

Therefore 9th term of the geometric sequence is [tex]\frac{2}{2187}[/tex]

Step-by-step explanation:

Given first term(a) = 6

and common ratio = [tex]\frac{1}{3}[/tex]

[tex]T_n= ar^{n-1}[/tex]

[tex]\therefore T_9=ar^{9-1}[/tex]

[tex]\Leftrightarrow T_9=a r^8[/tex]

[tex]\Leftrightarrow T_9=6\times ( \frac{1}{3}) ^8[/tex]

[tex]\Leftrightarrow T_9=\frac{2}{2187}[/tex]

Therefore 9th term of the geometric sequence is [tex]\frac{2}{2187}[/tex]

Answer:

The answer is 11

Step-by-step explanation:

Answer:

Baseball

Step-by-step explanation:

There are 30 people in total who voted in survey

9 Soccer

7 Basketball

5 Tennis

3 Hockey

6 Baseball

If 30 represents 100% of them then we divide 30 by 100 then multiply by 20

30 ÷ 100 × 20 = 6 is the number of people likes baseball as their favourite.

Answer:4v+3

Step-by-step explanation:

-2v+3+6v

-2+6=4

Answer:

2621

Step-by-step explanation:

We know how much they drink in 1 week, now we need to know how many they drink in 5 weeks.

To do so, multiply how much they drink in 1 week by 5 to get the value for 5 weeks.

524.2*5=2621

Answer:

Angle BDC is an inscribed angle.

The inscribed angle equals one half of the intercepted arc.

Therefore, the intercepted arc equals 130 degrees.

Step-by-step explanation:

The measure of BC should be 130 degrees.

The angle of d is 65 degrees:

Since angle of D is 65

So, the BC should be doubled i.e. 130 degrees.

Learn more about the circle here: https://brainly.com/question/14337527

Question:

What is the value of x? Enter your answer in the box. 68mm 57mm 129.2mm

The image of the triangle is attached below:

Answer:

The value of x is 98mm

Explanation:

It is given that VT = 57, TK = 129.2, YK = 68 and VK = x

Now, we need to find the value of x.

We shall determine the value of x, using angle bisector theorem,

[tex]\frac{YK}{TK} =\frac{YV}{VT}[/tex]

Let us substitute the values, we get,

[tex]\frac{68}{129.2}=\frac{x-68}{57}[/tex]

Switch sides, we have,

[tex]\frac{x-68}{57}=\frac{68}{129.2}[/tex]

Multiply both sides by 57,

[tex]\frac{57(x-68)}{57}=\frac{68 *57}{129.2}[/tex]

Simplifying, we get,

[tex]x-68=30[/tex]

Adding both sides by 68, we have,

[tex]x=98[/tex]

Thus, the value of x is 98mm

Answer:

Option C. [tex]y=-x^2[/tex]

Step-by-step explanation:

we know that

We can reflect the graph of any function f(x) about the x-axis by graphing y=-f(x)

so

The rule of the reflection of a function f(x) across the x-axis is

(x,f(x)) ------> (x,-f(x))

In this problem we have

[tex]f(x)=x^{2}[/tex]

Applying the rule of the reflection across the x-axis

[tex](x,x^2) ----> (x,-x^2)[/tex]

therefore

The new equation of the quadratic function is

[tex]y=-x^2[/tex]

Answer:

27.8871 feet

Step-by-step explanation:

1 meter ≅ 3.28084

You need to multiply the meters by 3.28084 to get the answer in feet.

So, 8.5 * 3.28084 ≅ 27.8871

Answer:

The correct option is second one i.e 7x = 3

Therefore the results from adding the equation in this system is

[tex]7x=3[/tex]

Step-by-step explanation:

Given:

Equations as

[tex]2x+y=8[/tex]      .......................1

[tex]5x-y=-5[/tex]        .......................2

To Find :

Result when adding equation 1 and 2 = ?

Solution

On adding equation 1 and 2 the "y" term will get cancel and the like terms will combine that is add (2x and 5x ) and ( 8 and - 5)  as shown below

           2x     +    y    = 8

           5x    -   y     = - 5

-------------------------------------------

           7x     + 0        =   3

---------------------------------------------

Therefore the results from adding the equation in this system is

[tex]7x=3[/tex]

Answer:

It's 3x=3

Step-by-step explanation:

I did it in edg!  But its correct

Answer:

[tex]8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n = 4 {m}^{2} n(2 {n}^{2} - 6n + m)[/tex]

Step-by-step explanation:

The given expresion is

[tex]8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n[/tex]

Observe that 4 is common to 8,-24, and 4

Observe also that, m²n is common to all the terms.

Hence the GCF is:4m²n

We factor the GCF to get;

[tex]8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n = 4 {m}^{2} n(2 {n}^{2} - 6n + m)[/tex]