Two parallel lines are crossed by a transversal.

Answer:

4  1/4

Step-by-step explanation:

Complementary angles add up to 90 degrees.

Thus if 12q - 9 and 8q + 14 are complementary,

12q - 9 + 8q + 14 = 90.

Combining like terms, we get:

20q + 5 = 90

20q = 85

Thus, q = 85/20, or 17/4, or 4  1/4

Answer:

42 and 48

Step-by-step explanation:

∵ Two angles are complementary to each other if their sum is 90°,

Given,

12q - 9 and 8q + 14 are complementary angles,

By the above statement,

12q - 9 + 8q + 14 = 90

Combine like terms,

20q + 5 = 90

Subtract both sides by 5,

20q = 85

Divide both sides by 20,

q = 4.25,

Thus, the angles are,

12(4.25) - 9 and 8(4.25) + 14

⇒ 42 and 48

Answer:

The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

Step-by-step explanation:

We have to simplify the following

-6.3x+14 and 1.5x-6

it can be written as:

=(-6.3x+14) + (1.5x-6)

Adding the like terms

=(-6.3x+1.5x)+(14-6)

= (-4.8x)+(8)

= -4.8x+8

So, the simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

Answer:

3x + 8

Step-by-step explanation:

Please use the symbol " ^ " to indicate exponentiation:  12x^2 + 29x – 8.

To answer this question, try dividing this 12x^2 + 29x – 8 by each of the given possible factors, one by one.  If the end result is a zero remainder, that indicates that the particular factor is in fact a factor of 12x^2 + 29x – 8.

Alternatively, use synthetic division; if the end result is zero, then you have identified a root of 12x^2 + 29x – 8, as well as a factor.

Let's focus on x - 8:  Is this a factor?  Is 8 a root?  Set up synthetic division as follows:

8   )   12    29    -8

                96   1000

         -----------------

         12   125   992    

The non-zero remainder (992) indicates that 8 is not a root of 12x^2 + 29x – 8, and that x - 8 is not a factor.

Continuing onto the next given possible factor, 2x - 1, we set this = to 0 and solve for x, obtaining x = 1/2.  Use synthetic division again:

1/2      )    12    29    -8

                        6     35/2

         ------------------------

              12      35    19/2                    No, 1/2 is not a root and

                                                             2x - 1 is not a factor of 12x^2 + 29x – 8.

Try possible root x = -8/3:

-8/3   )   12      29      -8

                     -32       8

        ----------------------------

            12       -3         0

This zero remainder tells us that 3x + 8 is a factor of 12x^2 + 29x – 8.

Answer:

C. on edge

Step-by-step explanation:

multiply the percentage of the corn by 360 degrees

15% × 360° = 54°

Answer:

54°

Step-by-step explanation:

In the given pie chart which shows variation of vegetable.

Pie chart is a circular. Complete angle of circular is 360°.

100% of pie chart is equal to 360° of central angle.

Here, we need to find the central angle of corn.

In graph, corn is only 15%

 100% of central angle = 360°

   1% of central angle [tex]=\dfrac{360^\circ}{100}[/tex]

15% of central angle  [tex]=\dfrac{360^\circ}{100}\times 15[/tex]

                                  [tex]=54^\circ[/tex]

Hence, The central angle of corn is 54°

Answer:

D) 50+31.5x

Step-by-step explanation:

10% of 35 is 3.5

35-3.5=31.5

Answer:

[tex]\frac{1}{210}[/tex]

Step-by-step explanation:

We can use the probability that one person will be assigned to one place.

For the first place in line, what is the probability that Moe will stand there?

[tex]\frac{1}{7}[/tex] because there is 7 people and 1 of Moe.

Then, for the second place in line, what is the probability that Larry will stand there?

[tex]\frac{1}{6}[/tex] because there are 6 people now and one of Larry.

Finally, for the third place in line, what is the probability that Curly will stand there?

[tex]\frac{1}{5}[/tex] because there are 5 people now and one of Curly.

To find the probability that they'll stand in that order, we can multiply the probabilities together.

[tex]\frac{1}{7}*\frac{1}{6}*\frac{1}{5}=\frac{1}{210}[/tex]

Answer:

Step-by-step explanation:

Given  two functions are  one is quadratic function and other is exponential function.

From the given graph of quadratic function and exponential function we can see that the graph of exponential function intersect y -axis at (0,1) and can never be zero and the graph of quadratic function  intersect axis at origin (0,0).

From the given graph we can see that  graph of exponential function increasing greater than an increasing quadratic function untill their graph intersect.

From the given graph we can see that  the graph of an increasing quadratic function eventually exceed after intersection the  graph of an  increasing exponential function.

In option

B. t(x) , because an increasing quadratic function will always exceed an increasing exponential function untill their graphs intersect. Therefore, it is false.We can see from given graph.

C. p(x) , because an increasing quadratic function will eventually exceed an increasing exponential function . It is false , because after intersection   not eventually ,the graph of an increasing quadratic function  will exceed an increasing exponential function .

D. t(x) , because an increasing exponential  function will eventually exceed an increasing quadratic function . It is false , we can see from given graphs of two functions.

The answer is:

The first option shows the graph of the given function.

Since the given function is an exponential function, we are looking for an exponential function graph, with a function that intercepts the y-axis at y equal to 2, or the point (0,2).

So, since we are given just one exponential graph, let's find the y-axis intercept in order to assure that the correct option is the first graph.

The function is:

[tex]y=2e^{x}[/tex]

Finding the y-axis intercept, we need to make "x" equal to 0, so:

[tex]y=2e^{0}[/tex]

We need to remember that any number elevated or powered to 0 is equal to 1, so:

[tex]y=2*1=2[/tex]

We have that the function intercepts the y-axis at y equal to 2, or the point (0,2).

Finding the x-axis intercept, we need to make "y" equal to 0, so:

[tex]y=2e^{x}[/tex]

[tex]0=2e^{x}[/tex]

[tex]Ln(0)=Ln(2e^{x})[/tex]

Now, since the natural logarithm of "0" does not exist in the real numbers, we can see that there is not x-axis intercept for this function.

Hence, the first option shows the graph of the given function.

Have a nice day!

Note: I have attached a picture for better understanding.

Answer:

Graph A

Step-by-step explanation:

Correct on edge!

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]3y+18 > 5x[/tex]

The solution of the inequality is the shaded area above the dashed line

The equation of the dashed line is  [tex]3y+18=5x[/tex]

The slope of the dashed line is positive (m=5/3)

The x-intercept of the dashed line is (3.6,0) (value of x when y is zero)

The y-intercept of the dashed line is (0,-6) (value of y when x is zero)

therefore

using a graphing tool

The graph in the attached figure

Answer:

A! Straight up!

Answer:

D) e

Step-by-step explanation:

ln e^e

We know that ln x^a is the same as a ln x

e ln (e)

we know that ln e =1

e (1)

e

Answer:

The correct answer is:  [D]:  " e " .

Step-by-step explanation:

__________________________________________________

  ln e^e = e * (ln e)  = e * (1) = e .

__________________________________________________

Answer:

The second option

Step-by-step explanation:

4x - 2 > 6x + 8

add 2 to both sides

4x - 2 + 2 > 6x + 8 + 2

2 cancel -2 and it remains

4x > 6x + 10

Now, subtract 6x from both sides

4x -6x > 6x -6x + 10

it remains

-2x > 10

divide via by -2

x > 10/-2

x < -5

When you multiply or divide by a negative, the inequality sign changes

Please mark as brainlest and have a good night.

Answer:

x < −5

Step-by-step explanation:

Answer:

The correct answer is B

Step-by-step explanation:

You want an even number per grade level to get comparable results.

Answer: um well it’s b... sorry for being 2 years late yk I was getting a drink of water

Step-by-step explanation:

Answer:

the box is cheaper

Step-by-step explanation:

2L bottle=$2,8(1L=$1,4)

[tex]6 \times 12 \: l \: bottle = 3.9(1l = \frac{0.65}{12} )[/tex]

the box is cheaper

[tex]f(x)=9\Longrightarrow f(-2)=9[/tex]

The function is a constant. No matter the input the output will always be equal to 9.

Hope this helps.

r3t40

Answer:

Option D [tex]y=\frac{1}{2}x+6[/tex]

Step-by-step explanation:

we know that

The equation of a line into slope point form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex](x1,y1)=(-2,5)[/tex]

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

substitute

[tex]y-5=\frac{1}{2}(x+2)[/tex]

Convert to slope intercept form

[tex]y=\frac{1}{2}x+1+5[/tex]

[tex]y=\frac{1}{2}x+6[/tex]

Answer: the correct answer would be 48

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer would be 48 i hope this helped and hope you are having a great day

Answer:

x > 4

Step-by-step explanation:

X-3>1

Add 3 to each side

X-3+3>1+3

x > 4

Hello :D

Answer:

[tex]\boxed{x>4}\checkmark[/tex]

Step-by-step explanation:

First, you add by 3 from both sides of an equation.

[tex]x-3+3>1+3[/tex]

Then, add the numbers from left to right.

[tex]1+3=4[/tex]

[tex]\boxed{x>4}[/tex], is the correct answer.

Hope this helps you!

Have a wonderful day! :D

-Charlie

Answer:  [tex]x=8[/tex]

Step-by-step explanation:

Given the quadratic function  [tex]0=x^2-16+64[/tex], you need to follow these steps:

 1. You must substitute [tex]f(x)=0[/tex] into the function:

[tex]0=x^2-16+64[/tex]

2. Now you need to factor the quadratic equation. Choose two numbers whose sum be -16 and whose product be 64.

These numbers are: -8 and -8.

Since the root appears twice, it is a "Double root". Then:

[tex](x-8)^2=0\\\\x=8[/tex]

Answer:

[tex]=\frac{12w+15g-100}{20}[/tex]

Step-by-step explanation:

Three-fifth of w is 3/5 of w

[tex]=\frac{3}{5} *w=\frac{3}{5} w[/tex]

Three-fourths of g is three-quarters of g

[tex]=\frac{3}{4} *g=\frac{3}{4} g[/tex]

find the sum of the fractions then subtract 5

[tex]=\frac{3}{5}w-\frac{3}{4} g-5\\\\\\=\frac{3}{5}w-\frac{3}{4}g-\frac{5}{1}[/tex]

The LCM here is 20 i.e 5*4

=[tex]\frac{3}{5} w+\frac{3}{4}g-\frac{5}{1}=\frac{12w+15g-100}{20} \\[/tex]

Answer:

53 miles

Step-by-step explanation:

I'm going to assume "$0.25 for each time" is "$0.25 per mile."

$1.75 is the flat fee. It costs 25 cents for each mile. We can represent this as:

1.75 + 0.25m

The sum of this equation has to be less than or equal to $15. We can display this as:

1.75 + 0.25m ≤ 15.

To solve, we must first isolate 0.25m. To do this, we subtract 1.75 from each side.

0.25m ≤ 15 - 1.75

0.25m ≤ 13.25.

Now, we must isolate the variable 'm' to determine how many miles Eddie can travel. To do this, we divide 0.25 from each side.

m ≤ 13.25 / 0.25

m ≤ 53.

Therefore, Eddie can travel 53 miles if he has $15 to spend.

[tex]\bf \begin{array}{rrlll} term&\stackrel{f(n+1)=-0.5f(n)}{~\hfill value~ }\\ \cline{1-2} f(1)&120\\ f(2)&-0.5(120)\\ &-60\\ f(3)&-0.5(-60)\\ &30\\ f(4)&-0.5(30)\\ &-15\\ f(5)&-0.5(-15)\\ &7.5 \end{array}[/tex]

Answer:

f(5) = 7.5

Step-by-step explanation:

The recursive formula allows a term in the sequence to be found from the previous term, thus

f(2) = - 0.5 f(1) = - 0.5 × 120 = - 60

f(3) = - 0.5f(2) = - 0.5 × - 60 = 30

f(4) = - 0.5f(3) = - 0.5 × 30 = - 15

f(5) = - 0.5f(4) = - 0.5 × - 15 = 7.5

If [tex]\dfrac{4}{9}[/tex] of students are boys, then [tex]1-\dfrac{4}{9}=\dfrac{5}{9}[/tex] of students are girls.

[tex]\dfrac{5}{9}\cdot 2610=1450[/tex]

1450 girls

Answer:

1450

Step-by-step explanation:

5/9 of 2160 would mean there are 1450 girls in the school.

Sorry about my last answer, I made a mistake. Feel free to give the other person brainliest.

Answer:

y= 275 when x is 25

Answer: 20%

Step-by-step explanation:

There are 15 total cookies. Divide 3 by 15, 3 being how many cookies he took out. Then you get 0.2. Move the decimal over two and you have 20%.

Answer:

3

Step-by-step explanation:

Answer:

The correct answer is (3,2)

Answer:

c

Step-by-step explanation:

The measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.

Parallelogram is a 2D shape, having opposite sides parallel and equal. Also the opposite angles of parallelogram are congruent means equal.

We have,

A Parallelogram with,

Angle B = (2n + 15)° and,

Angle D = (3n - 5)°

So,

As mentioned above in the definition that the opposite angles of parallelogram are congruent means equal.

i.e.

Angle B = Angle D

i.e.

2n + 15 = 3n - 5

On solving we get,

20 = n

⇒ n = 20,

So,

Angle B = (2n + 15)° = (2 * 20 + 15)° = 55°

And,

Angle D = (3n - 5)° = (3 * 20 - 5)° = 55°

Hence, we can say that the measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.

To know more about Parallelogram click here

https://brainly.com/question/11220936

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ANSWER

66 cubic units

EXPLANATION

The volume of a triangular prism is the area of the triangular base times the height of the prism.

We calculate the volume using the formula:

[tex]volume = \frac{1}{2} bh \times H[/tex]

where b=4 is the base of the triangle and h=3 is the height of the triangle.

H=11 is the height of the prism.

We substitute these values to get;

[tex]volume = \frac{1}{2} \times 4 \times 3 \times 11[/tex]

[tex]volume = 66 \: cubic \: \: units[/tex]