Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 7x + 8
y = x+ 20

Answer:

3/5

Step-by-step explanation:

Soh Cah Toa

In some trigonometry classes, this acronym is very important to solving questions like this.

Why?

It tells us the right triangle-definition of these trigonometry functions.

We have that cosine of an angle is equal to tge side that is adjacent to it over the hypotenuse.

So here we are asked to find cos(B).

Lets look at triangle respect to the angle B

The measurement of the side that is opposite is 64.

The measurement of the side that is adjacent is 48.

The measurement of the hypotenuse is 80.

So cos(B)=48/80.

Let's reduce. 48 and 80 have a common factor of 8 so divide numerator and dexter by 8. This gives us:

cos(B)=6/10.

One more step in reducing. Both factors are even so cos(B)=3/5.

Answer:

Article I, Section 8.

Step-by-step explanation:

The expressed powers of the federal government are given in Article I, Section 8 of the Constitution. This includes the many specific powers which the framers intended for the federal government to have, such as to declare war, regulate commerce, establish post offices, and establish rules of naturalization.

Answer:

They are directly listed in the Constitution.

Answer:

y=x

Step-by-step explanation:

If you draw the line y=x on the shown graph a and a' are the same distance away from the line. This is the same for all the other points and its prime.

Answer:

10 different groups of three CDs are possible

Step-by-step explanation:

Total CDs are five and 3 has to be chosen where order doesn't matter.

In these kind of scenarios, combinations are used for calculating different ways in which the CDs can be given.

So,

Number of ways in which groups of CDs are possible = ⁵C₃

[tex]= \frac{n!}{r!(n-r)!} \\= \frac{5!}{3!(5-3)!}\\=\frac{5!}{3!2!}\\=\frac{5*4*3!}{3!2!}\\=\frac{5*4}{2}\\=\frac{20}{2}\\=10[/tex]

Therefore, 10 different groups of three CDs are possible ..

Answer:

$39

Step-by-step explanation:

Let original price be x, so we need to subtract 16 2/3 % from that to get 32.50

So we can write:

[tex]100x-16\frac{2}{3}x=3250\\83\frac{1}{3}x=3250\\x=39[/tex]

So basically, the original price was $39.

Answer:

Option C is correct

Step-by-step explanation:

The two triangles are similar if there sides are proportional to each other

So, In Triangle ABC and Triangle DEF

AB/DE=BC/EF=AC/FD

according to definition of similar triangles.

We are given AC = 8

and FD = 4

So, AC/FD = 8/4 = 2/1

or 2:1

So, Option C is correct

Answer: Option C

2:1

Step-by-step explanation:

Two triangles are similar if the ratio of their sides is proportional.

In this case we have the triangle ∆ABC and ∆DEF so for the sides of the triangles they are proportional it must be fulfilled that:

[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]

In this case we know that:

[tex]AC=8[/tex]

[tex]DF=4[/tex]

Therefore

[tex]\frac{AC}{DF} = \frac{8}{4}\\\\\frac{AC}{DF} = \frac{2}{1}[/tex]

The similarity ratio of ∆ABC to ∆DEF is 2:1

Answer:

The answer is 18

Step-by-step explanation:

1.5(p+n) for p= and n =6​

As we know the values of p=6 and n=6

Solve it according to the BODMAS rule. According to this rule if we have brackets or parenthesis then first we have to solve or simplify the brackets.

Put the values in the given expression:

1.5(6+6)

Now solve the parenthesis first:

1.5(12)

Now multiply 1.5 by

The answer is 18....

Answer:

[tex]3 \le x \le 7[/tex].

Step-by-step explanation:

Hopefully this will help. Let me know in the comments if it doesn't.

The domain is all the x's where the function exists. The function you have starts at x=3 and ends at x=7. There are no breaks in your line between those numbers for x. So your domain is all x's between 3 and 7 ( inclusive).

So that means all values of x that is greater than or equal to 3 and values of x less than or equal to 7.

[tex]3 \le x \le 7[/tex].

Answer:

9/4  or 2 1/4.

Step-by-step explanation:

3/4 / 1/3

=3/4 * 3/1

= 9/4

Answer:

3/4 ÷ 1/3 equals

(3/4 x 3/1) = 9/4

Step-by-step explanation:

Answer:

0.015

Step-by-step explanation:

The probability two independent events take place is the product of their individual probabilities.

p(shoes & book) = p(shoes) * p(book) = 0.15 * 0.10 = 0.015

Answer:

0.015 ~apex

Step-by-step explanation:

Answer:

[tex]log_{3}(x-4)= 3log_{3}(2)[/tex]

Step-by-step explanation:

The given equation is:

[tex]x-4=2^{3}[/tex]

We have to find the logarithmic equation with same solution as the given equation.

If we take the log of both sides, we can get a logarithmic equation. Since the log operation is applied to both sides the solution of the equation will stay the same.

Taking the logarithm to the base 3 of both sides, we get:

[tex]log_{3}(x-4)= log_{3}(2)^{3}\\\\ log_{3}(x-4)= 3log_{3}(2)[/tex]

Answer: The CORRECT answer is C: log2(x-4)=3

[tex]\displaystyle\tt\left(\frac{xy^4}{x^{-5}y^5}\right)^{-3} =\frac{x^{-3}y^{4\cdot(-3)}}{x^{-5\cdot(-3)}y^{5\cdot(-3)}}=\boxed{\tt\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}}[/tex]

Answer:

n=5   n=9

Step-by-step explanation:

n^2 − 14n = -45

Add 45 to each side

n^2 − 14n +45 = -45+45

n^2 -14n +45 = 0

Factor the equation

What 2 number multiply to 45 and add to -14

-5*-9 = 45

-5+-9 = -14

(n-5) (n-9) =0

Using the zero product property

n=5   n=9

Answer:

Option C (f(x) = x^2)

Step-by-step explanation:

Quadratic Function is a polynomial which has a maximum degree of 2. It is expressed in the form:

f(x) = a + bx + cx^2; where a, b, and c are real numbers.

Any function which has the highest degree of 2 (not more than that) is the quadratic function. Option A illustrates the absolute values function. Option B shows a function which does not match the characteristics of the quadratic equation. Option D shows a linear function. Therefore, Option C (i.e. f(x) = x^2) is the correct choice!!!

Answer:

x=65

Step-by-step explanation:

The angle with the measurement of 125 degrees is supplementary to the one adjacent to it (sharing the same vertex and on same line).

What that means is that the measurement of the angle adjacent to that angle of 125 degrees is 180-125=55.

So now we know the sum of the interior angles of a triangle add up to be 180 degrees.

That is we have to solve the following equation for x:

x+55+60=180

Add 55 and 60:

x+115=180

Subtract 115 on both side:

x=180-115

Simplify:

x= 65

The measure of <2 is 45 degree.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always 180 degrees.

From the figure, applying angle sum property

<2 + 45 + 90= 180

<2 + 135=180

<2 = 180- 135

<2 = 45 degree

Thus, the measure of <2 is 45 degree.

Learn more about angle Sum Property here:

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Answer:

=56°

Step-by-step explanation:

The degree measure of an angle is the measure of the central angle that intercepts the arc at the circumference.

The central angle is bound by two radii.

In the provided question, the central angle ACB=56° and intercepts the circle at A and B, with the vertex at C the center of the circle.

Answer:56

Step-by-step explanation:

Answer:

Hi there!

The answer to this question is 3

Step-by-step explanation:

You first distribute the four into the parenthesis to get: 12x-24+15+ 27

Next you add -24 to 15 to get: -9 your equation should now look like 12x-9=27

Then you add 9 on both side to get 12x=36

Last you divide twelve on both sides to x=3

Answer:

3

Step-by-step explanation:

Answer:

(2y-4)cm

Step-by-step explanation:

In the given question we have (4y-8) divided by 2

which can be written mathematically as [tex]\frac{\left ( 4y-8 \right )cm}{2}[/tex]

Now (4y-8) is a quatity  with unit cm. and the whole expression is in parentheses. Moreover, two quatity can only be added or subtracted only when their units are same. Therefore 4y and 8 must have same unit that is cm.

Therefore, [tex]\frac{\left ( 4y-8 \right )cm}{2}=(2y-4)cm[/tex] and not anything else

Answer: 7,920 feet.

Step-by-step explanation: There are 5,280 feet in a mile. To find how many feet are in 1.5 miles, multiple 1.5 by 5,280.

1.5 x 5,280 = 7,920

There are 7,920 feet in 1.5 miles.

Answer:

Step-by-step explanation:

The answer is 12 miles, if every inch is 3 miles on the map then 3x4=12.

Answer:

12 miles

Step-by-step explanation:

In order to solve the problem you only have to use the scale of the map, we know that the ratio is 1 inch to 3 miles, so if one inch in the map represent 3 miles on real scale, now we just do a rule of three like this:

[tex]\frac{1 inch}{4 miles}=\frac{3 inches}{x}[/tex]

So now that we have our function we can clear the x to solve the problem:

[tex]x=\frac{3x4}{1}[/tex]

[tex]x=\frac{12}{1}[/tex]

[tex]x=12 miles.[/tex]

By doing this we now know that there are 12 miles from downtown to the lake.

Answer:

A) 41 laps

Step-by-step explanation:

Round 17 4/7 to the nearest whole number:

18

Round 23 5/14 to the nearest whole number:

23

18 + 23 = 41

Final answer:

By rounding the fractional laps to the nearest whole numbers (18 for Monday and 23 for Wednesday), and adding them together, we estimate that Kira swam a total of 41 laps. Option A is the closest answer.

Explanation:

To estimate the total number of laps Kira swam on Monday and Wednesday, we should round the numbers to the nearest whole number and then add them together. Kira swam 17 4/7 laps on Monday, which we can round to 18 laps for estimation purposes. On Wednesday, she swam 23 5/14 laps, which rounds to 23 laps. Adding the estimated numbers together, we get:

Monday: 18 (estimated from 17 4/7)

Wednesday: 23 (estimated from 23 5/14)

Therefore, the estimated total number of laps is 18 + 23 = 41 laps.

The closest answer to our estimation is Option A: 41 laps.

Answer:

x = 2

Step-by-step explanation:

Given

9x - 10 = 3x + 2 ( subtract 3x from both sides )

6x - 10 = 2 ( add 10 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

x=2

Step-by-step explanation:

Given

9x - 10 = 3x + 2 ( subtract 3x from both sides )

6x - 10 = 2 ( add 10 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----->  the number of open acres

y ---->  the number of developed acres

we know that

[tex]x+y \geq 4[/tex] -----> inequality A

[tex]x\leq 1[/tex] ----> inequality B

Remember that

if the number of open acres, x, can be no more than 1. then the number of open acres, x must be less than or equal to 1

Solve the system of equations by graphing

The solution is the shaded area (Note The number of acres cannot be a negative number)

The graph in the attached figure

Answer: It's B

Step-by-step explanation: I just did it on edge 2020

Answer:

1/16

Step-by-step explanation:

2 ^ -4

The negative puts the number in the denominator

1 / 2^4

1/16

Answer:

9 or -6

Step-by-step explanation:

To solve, I would suggest factoring.

You need to find two numbers which can be multiplied for 54 and also combined in some way to get 3. In this case, 9 and 6 are perfect.

[tex]x^2-3x-54=0\\(x-9)(x+6)=0[/tex]

Next, you can set both of your terms equal to zero to find your possible solutions.

[tex]x-9=0\\x=9\\[/tex]

or

[tex]x+6=0\\x=-6[/tex]

Answer:

So x=4 and y=-5 would work.

Step-by-step explanation:

When you multiply complex conjugates, you get a real result.

Example:

[tex](a+bi)(a-bi)=a^2-b^2i^2=a^2+b^2[/tex]

I replace [tex]i^2[/tex] with -1 since [tex]i^2=-1[/tex].

[tex]a^2+b^2[/tex] is a real number (there is no imaginary part, no i).

So what is the conjugate of 4+5i?

4-5i

So x=4 and y=-5 would work.

A multiple of the complex conjugate would work as well.

[tex](a+bi)(ca-cbi)[/tex]

[tex]c(a+bi)(a-bi)[/tex]

[tex]c(a^2-b^2i^2)[/tex]

[tex]c(a^2+b^2)[/tex]

This is still a real number; there is no imaginary part,no i.

Answer:

D

Step-by-step explanation:

A trinomial is an expression consisting of three terms, and D is the only one with 3 terms.

Please give brainliest!

The trinomial among the following expressions is 5x² + 3x + 6

A polynomial with three terms is called a trinomial.

Clearly in options A ,B , C there are two terms in all the expressions and hence they are not trinomial.

In option D, the expression is 5x² + 3x + 6, which is having 3 terms

So this is the trinomial.

Option D is correct.

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Answer:

(- ∞, - 4 ] ∪ [7, + ∞ )

Step-by-step explanation:

Determine the zeros by equating to zero, that is

x² - 3x - 28 = 0 ← in standard form

(x - 7)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

The zeros divide the domain into 3 intervals

(- ∞ , - 4 ], [ - 4, 7 ], [ 7, + ∞)

Choose a test point in each interval and compare value with required solution

x = - 5 : (- 5)² - 3(- 5) - 28 = 25 + 15 - 28 = 12 > 0

x = 0 : 0 - 0 - 28 = - 28 < 0

x = 10 : 10² - 3(10) - 28 = 100 - 30 - 28 = 42 > 0

Solutions are the first and third interval, that is

x ∈ (- ∞, - 4 ] ∪ [ - 7, + ∞)

Answer:

it's C on edge

Step-by-step explanation:

got it right:)

Answer:

How much money the payment is in one year, then divided by 12.

Step-by-step explanation:

To do this, lets say that Francisco's bank earns 120036$ a year.

120036/12=1003$ a month

How much payment in one year, then divided by 12.

Answer:

36 months

Step-by-step explanation:

simple math