-2c + 22 = 10, what is c?

Answer:

(4, 0)

Step-by-step explanation:

[tex]6x-3y=24\\-3y=24-6x\\y=-8+2x\\0=-8+2x\\8=2x\\[/tex]

x=4 when y=0, and in x-intercepts, we are trying to find the value of x when y=0, which is why (4, 0) is the point of interception.

Answer:

Solution given:

6x-3y=24

In x and y intercept form equation will be:

[tex]\frac{6x}{24}-\frac{3y}{24}=1[/tex]

[tex]\frac{x}{4}-\frac{y}{8}=1[/tex]

Comparing above equation with

[tex]\frac{x}{a}+\frac{y}{b}=1[/tex]

we get

x-intercept=a=4

y-intercept=b=-8

X-intercept is 4.

9514 1404 393

Answer:

  c.  {x | x ≠ 4/5}

Step-by-step explanation:

Given:

Find:

  The domain of (f ◦ g)(x)

Solution:

The domain of f(x) excludes the value of x that makes the denominator zero. That is, it is all real numbers except x = 0.

Then the domain of f(g(x)) must exclude any value of x that makes g(x) be zero. That value would be ...

  g(x) = 0 = 5x -4

  4 = 5x . . . . . . . . . . add 4

  4/5 = x . . . . . . . . . .divide by 5

The domain of (f ◦ g)(x) is all real numbers except x = 4/5. In set notation, it could be written ...

  {x | x ≠ 4/5}

We know that ,

[tex] \sin( \alpha ) = \frac{opposite}{hypotenuse} [/tex]

and

[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]

where 'alpha' is an angle of triangle ; 'opposite' denotes the side opposite to alpha & 'adjacent' refers to the side next to the angle (but not hypotenuse)

Similarly ,

[tex] \sin(q) = \frac{opposite}{hypotenuse} = \frac{4}{5} [/tex]

Let the length of the opposite side be 4x and the length of hypotenuse be 5x. By using Pythagorean Theorem , we can find the length of base.

[tex] {base}^{2} + {(4x)}^{2} = {(5x)}^{2} [/tex]

[tex] = > {base}^{2} = 25 {x}^{2} - 16 {x}^{2} = 9 {x}^{2} [/tex]

[tex] = > base = \sqrt{9 {x}^{2} } = 3x[/tex]

Now , we have got the length of all the sides of the triangle. So,

[tex] \cos(q) = \frac{adjacent}{hypotenuse} = \frac{3x}{5x} = \frac{3}{5} [/tex]

and

[tex] \cos(p) = \frac{adjacent}{hypotenuse} = \frac{4x}{5x} = \frac{4}{5} [/tex]

So,

[tex] \cos(p) + \cos(q) = \frac{4}{5} + \frac{3}{5} = \frac{7}{5} [/tex]

Answer:

Slope = 3

y intercept = 35

Step-by-step explanation:

Given

x = time

y = letters that can not be scanned

Also, we have:

[tex](x_1,y_1) = (15,80)[/tex]

[tex](x_2,y_2) = (45,170)[/tex]

The slope is calculated as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{170-80}{45-15}[/tex]

[tex]m = \frac{90}{30}[/tex]

[tex]m = 3[/tex]

To calculate the y intercept, we need to determine the linear equation using:

[tex]y - y_1= m(x-x_1)[/tex]

Substitute values for x1, y1 and m

[tex]y - 80 = 3(x - 15)[/tex]

Open bracket

[tex]y - 80 = 3x - 45[/tex]

Make y the subject

[tex]y = 3x - 45+80[/tex]

[tex]y = 3x +35[/tex]

An equation has the general form:

[tex]y=mx + b[/tex]

Where

[tex]b= y\ intercept[/tex]

By comparison:

[tex]b = 35[/tex]

Answer:

I may be wrong but won't it be 0?

Step-by-step explanation:

1/4 is the half of 1/8 right? So both of the 1/4 is all of 1/8. So the teacher got 0.

I tried my best please don't say "WRONG!" please say it nicer... Thank you:)

Answer:

x=54

Step-by-step explanation:

easy

180 is a triangle

so

exterior+interior=180

so 180-123

57

now add all up to 180

180=57+x+69

x=54

9514 1404 393

Answer:

  54

Step-by-step explanation:

The sum of the interior angles marked is the same as the marked exterior angle. Then the unknown is the difference of the known angles:

  x° = 123° -69°

  x° = 54°

Answer:

The coordinates of B are (-7, -5)

Step-by-step explanation:

We can automatically determine that the x-value is -7 since M and A are 1 unit apart.  We can also determine that from 1 to 7, it is 6 units apart.  Subtract 6 from 1 to get -5 as your y value in which your coordinates for B is (-7, -5)

Answer:

well when you are dividing you can multiply the answer and the second number to get the first number. And when you multiply you can divide the answer to any of the number to get the other number. Hope this helped!

The value of the principal invested is $762. 5

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are represented as;

Now, substitute the values into the equation, we have;

$549 = P × 9 × 8/100

Multiply the values

$549 = 72P/100

cross multiply the values

$549 × 100 = 72P

Multiply the values

72P = 54900

Divide both sides by the coefficient of P

P = $762. 5

Learn about simple interest at: https://brainly.com/question/25793394

#SPJ1

Answer:

c

Step-by-step explanation:

at least means >=

n+17 >= 68

so n>=51

Answer:

5 minutes he took to grill the sandwich

Answer:

5 mins

Step-by-step explanation:

53-48=5

                                                 Question # 7

x    -1     0     1      2      3       4

y     -5    1     7     13    19      25

From the table, it is clear that x and y change at a constant rate, it must be a linear function.

Determining the slope between the points (-1, -5) and (0, 1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)[/tex]

[tex]m=\frac{1-\left(-5\right)}{0-\left(-1\right)}[/tex]

[tex]m=6[/tex]

We know the y-intercept can be determined by setting x = 0 and solving for y.

From the graph, it is clear that

at x = 0, y = 1

Thus, the y-intercept = b = 1

We know the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

substituting m = 6 and b = 1 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y = 6x + 1[/tex]

Therefore, the table represents the rule equation such as:

[tex]y = 6x + 1[/tex]

                                           Question # 8

Given the table

Input            Output

3                      -5

2                      -4

1                       -3

2                      -2

3                       -1

We know that relation is said to be a function from a set X to a set of Y if each element of x is related to exactly one element in Y.

In other words, there must not be repeated 'x' element, meaning the value of 'x' must be unique.

It is clear from the table that the value of x is unique and there is no repetition of x, meaning each element of x is related to exactly one element in Y.

Thus, the given table represents the function.

Answer:

Answer: I think its 15 but if you could give me answer choices it would be better

But The answer is 15.

Step-by-step explanation:

Step-by-step explanation:

Answer:

w = -50

Step-by-step explanation:

w = -50

Answer:

-50

Step-by-step explanation:

first subtract  13 from both sides

w/-5+13=23

      -13    -13

then multiply by -5

w/-5=10

  x5  x5

w=-50

I'm still really bad at explaining... I'm sry but hope this helps...

Answer:

?

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

156 divided by 12

Answer:

1.1574 heart beats per second

Step-by-step explanation:

In order to solve this problem, you need to keep converting the units of time from day to hour to minutes to seconds. If a heart beats a 100,000x per day , the ratio of heart beats a day is 100,000 beats / 1 day .Use the equation below.

[tex]\frac{100,000 beats}{1 day} * \frac{1 day}{24 hours} * \frac{1 hour}{60 minutes} * \frac{1 minute}{60 seconds}[/tex]

100,000/24/60/60 = 1.1574 beats a second

Answer:

2 is the answer that I would give. The question says distinct solutions does this graph have.

Step-by-step explanation:

You are asked only how many times this crosses the x axis. You are not asked for an exact value. So the thing to do is graph the polynomial.

y = x^3 - 3x^2 + 4

The graph says that x = -1 with a multiplicity of 1

It also says that x=2 is a solution with a multiplicity of 2 (meaning there are 2 roots are the same).

So this polynomial factors into y = (x + 1)(x - 2)(x - 2)

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Firstly, convert this percentage into a decimal. All you have to do is move the decimal point two digits to the left.

Your percentage is currently 140.00. The decimal would be 1.40.

Next, take the given number (15 in this case) and multiply it by the decimal number:

15 * 1.40 = 21.

Hope this helped!

Answer:

To do this, you need to multiply out the expressions. This is a bit tedious, but remember like FOIL for binomials, for these trinomials you must multiply each term. If you need a step-by-step, I'd be happy to provide it. Let me know.

Once you have simplified the expression, you get

-x-9/2x-4

But, the problem stipulates that a must equal 1. We can equivalently factor out the negative sign and put it on the denominator with no change to write

x+9/-(2x-4) = x+9/-2x+4

So, seeing where each coefficient corresponds between the two expressions, you get a = 1, b = 9, c = –2, and d = 4.

Answer:

less than 7, greater than 1

Step-by-step explanation:

Answer:

25, you have to set up a ratio between 5 to 7 and 35.

Step-by-step explanation:

Answer:

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' =  45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

        [tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

        [tex]t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }[/tex]

       t = -900 /33.54 = -26.517

      |t| = |-26.517|=26.517

Degrees of freedom

                       γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

It's larger on the screen so the factor is greater than 1.

Divide the size on the screen by the size on the transparency:

18 / 6 = 3

The scale factor is 3.

Answer:

3 I got it right

Step-by-step explanation:

Answer:

-5 degrees per hour

Step-by-step explanation:

In 10 hours, the temperature dropped -50 degrees (38 + 12, and make it negative because the temperature went down, not up).

So divide -50 by 10

-50/10 = -5

Answer:

x = 2

Step-by-step explanation:

Exponential Equations

Solve:

[tex]5^{2x-1}+5^{x+1}=250[/tex]

Separate each exponential:

[tex]5^{2x}5^{-1}+5^{x}5^{1}=250[/tex]

Operating:

[tex]\displaystyle \frac{5^{2x}}{5}+5^{x}5=250[/tex]

Multiplying by 5:

[tex]5^{2x}+25\cdot5^x=1250[/tex]

Rearranging:

[tex]5^{2x}+25\cdot5^x-1250=0[/tex]

Recall that:

[tex]5^{2x}=(5^{x})^2[/tex]

[tex](5^{x})^2+25\cdot5^x-1250=0[/tex]

Calling

[tex]y=5^{x}:[/tex]

[tex]y^2+25y-1250=0[/tex]

Factoring:

[tex](y-25)(y+50)=0[/tex]

There are two possible solutions:

y=25

y=-50

Since

[tex]y=5^{x}[/tex]

y cannot be negative, thus:

[tex]5^{x}=25=5^2[/tex]

The solution is:

x = 2

Answer:

Continuous ; discrete numerical ; Categorical ; Categorical

Step-by-step explanation:

Given that :

Annual personal income = $55,626

Number of times married = 2

State currently living in​ = Georgia

Employer​: Self

Annual personal income is a numerical variable which is CONTINUOUS as it take a very large to infinite number of different values because the annual income of various individuals will vary over a very large value.

Number of times married is a Discrete numerical variable which can take up a finite Number of values which are countable and a definite range.

State Currently living in is a categorical Variable which do not posses numerical attributes but are used as labels to group or classify data.

Employer is also a Categorical variable which is non-numeric used for classification and grouping of data attributes.