is -7+9y+7=2x a direct variation and if so what is the constant?

The number [tex]\log_9(81)[/tex] means: which exponent we have to give to 9 in order to get 81?

Since [tex]81=9^2[/tex], the answer is 2.

Answer:

[tex]m=\frac{-5}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point C(-2, 4)

Point D(1, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

nice question...

so here we go

3^ -x = 1 / 3^x

so 1/ 3^x = 2 so 3^x = 1/2

we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)

recall that 3^x =1/2

so now according to question we have to find the value of 3^2x =  1/2 * 1/2 = 1/4

Step-by-step explanation:

The given expression is an application of an exponential equation. The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]

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

This can also be expressed as [tex]\frac{1}{3^x} =2\\[/tex]

Cross multiply

[tex]\frac{1}{3^x} =2\\3^x = \frac{1}{2}[/tex]

Take the square root of both sides

[tex](3^x)^2 = (\frac{1}{2} )^2\\3^{2x} = \frac{1}{4}[/tex]

The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]

Learn more here: https://brainly.com/question/16088078

Answer:

m = n = 14°

Step-by-step explanation:

The angle at the centre is twice the angle at the circumference subtended on the same arc.

angle at circumference = 0.5 × 98° = 49°, then

35° + m = 49° ( subtract 35° from both sides )

m = 14°

Angles subtended on the same arc are congruent.

m and n are 2 such angles, thus

n = m = 14°

Answer:

56

Step-by-step explanation:

Answer:

it'sba decimal number

Answer:

0.27820 is a rational number

Answer:

Forma exacta:

x= −37/30

Forma decimal:

x=−1.23

Forma numérica mixta:

x=−17/30

Answer: 1/2x+2

Step-by-step explanation:

I just simplified

Answer:

20x²+5x+5

Step-by-step explanation:

any more help just ask

Answer:

$100,000

Step-by-step explanation:

Let the total income of the store = [tex]\$x[/tex]

Total spends on salaries = [tex]\frac{1}{4}[/tex] of total income

Total spends on advertising = [tex]\frac{1}{6}[/tex] of total income

Also, we are given that:

Total money paid as salaries = $150,000

To find:

Total spends on advertising ?

Solution:

As per question statement, we can write the following equation:

[tex]\dfrac{1}{4}x =\$150000\\\Rightarrow x =\$150000\times 4\\\Rightarrow x = \$600000[/tex]

Now, as per the given statement, total spends on advertising are:

[tex]\dfrac{1}{6}x =\dfrac{1}{6}\times 600000 = \bold{\$100,000 }[/tex]

Therefore, the answer is $100,000

Answer:

The table with the missing number

1       5

2     10

5      25

10    50

Step-by-step explanation:

The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers

From the given table, we will use the first row in all cases (a = 1 and c = 5)

∵ a = 1 and b = 2

∵ c = 5

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]

→ By using the cross multiplication

∵ 1 × d = 2 × 5

∴ d = 10

∴ The first missing is 10

∵ a = 1

∵ c = 5 and d = 25

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]

→ By using the cross multiplication

∵ 5 × b = 1 × 25

∴ 5b = 25

→ Divide both sides by 5

∴ b = 5

∴ The second missing is 5

∵ a = 1 and b = 10

∵ c = 5

→ By using the form of the equivalent ratios above

∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]

→ By using the cross multiplication

∵ 1 × d = 10 × 5

∴ d = 50

∴ The third missing is 50

∴ The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]

The table with the missing numbers

1       5

2     10

5      25

10    50

Answer:

a(31) =125

Step-by-step explanation:

d=9-5=13-9=4

then it is an arithmetic sequence

a(n) = a1 +(n-1)d

a(n) = 5 +(n-1)4

a(31) = 5 +(31-1)4

      =125

hope this helps

I hope this helps you.

Answer:

40 + 7 = 47.    47 x 8  = 376

8 x 40 = 320      8 x 7 = 56

320 + 56 = 376

They equal the same.

Step-by-step explanation:

8x(40+7)=(8x40)+(8x7)

Answer:

1 Expand by distributing terms.

10-80x+710−80x+7

2 Collect like terms.

-80x+(10+7)−80x+(10+7)

3 Simplify.

-80x+17−80x+17

Step-by-step explanation:

Answer:

There are no real solutions to this equation

Step-by-step explanation:

Answer:

bob

Step-by-step explanation:

ask your teacher

Answer:

the risk free rate of return is 4.86%

Step-by-step explanation:

The computation of the risk free rate is shown below;

As we know that

Expected return = Risk free rate of return + Beta × (Market rate of return - risk free rate of return)

10.5% = Risk free rate of return + 1.55 × (8.5% - Risk free rate of return)

10.5% = Risk free rate of return + 13.175% - 1.55 Risk free rate of return

10.5% - 13.175% = -0.55 risk free rate of return

-2.675% = -0.55 risk free rate of return

So, the risk free rate of return is

= 2.675% ÷ 0.55

= 4.86%

Hence, the risk free rate of return is 4.86%

Answer:

1) -13/8

Step-by-step explanation:

decimal form is -1.625

Answer:

D; 85 leaves

Step-by-step explanation:

From what we can see, each 4 days there is a growth of an additional 9 leaves

So for the 20th day, we can see 58

The difference between the 20th and 32nd day is 12

The number of 4s we can see here is 12/4 = 3

For each 4, we can count extra 9 leaves

So for the 12, the number of leaves we can count is 3 * 9 = 27

we proceed to add this to 58

That will yield 58 + 27 = 85

It's c Bye bye have a amazing day

Answer:

I. The point (6, -2) is not a solution for the given equation

II. The slope of the line going through (-4, 1) and (-7, -5) is 2

III. The slope of the line x = -7 is ∞

IV The slope of the line y = -6 is 0

V. The coordinate of the x-intercept is (12.5, 0)

The coordinate of the y-intercept is (0, 25)

VI. The equation of the line is y = 17·x + 59

Step-by-step explanation:

I. The given equation is -4·x - 5·y = 32

The given point = (6, -2)

Therefore;

The x-coordinate value of the point = 6

The y-coordinate value of the point = -2

Plugging in the x and y-coordinate values into the given equation gives;

-4 × (6) - 5 × (-2) = -14 which does not correspond to the given equation, therefore, the point (6, -2) is not a solution for the given equation;

We can also show, by making y the subject of the formula of the given equation, weather the point is a solution of the given equation as follows;

-4·x - 5·y = 32

y = (-4/5)·x - 32/5

For x = -2, we have;

y = (-4/5) × (-2) - 32/5 = - 4.8

Therefore, the point (6, -2) where y = 6 when x = -2 is not a solution of -4·x - 5·y = 32

II. The slope of a straight line, given two points on the line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where the two points are (-4, 1), and (-7, -5), we have;

x₁ = -4, y₁ = 1, x₂ = -7, and y₂ = -5

[tex]Slope, \, m =\dfrac{-5-1}{-7-(-4)} =2[/tex]

The slope, m, of the line going through (-4, 1) and (-7, -5) is m = 2

III. The slope of the line x = -7 = ∞ because, the difference in the x-value which is the denominator of the slope equation = 0 for all differences in the y-coordinate values

IV The slope of the line y = -6 is 0 because, the difference in the y-values which is the numerator of the slope equation = 0 for all differences in the x-coordinate values

V. The x and y-intercept of an equation is found by finding the values of the variable, x or y, in the equation, when the other variable, y or x is equal to zero respectively, which is given as follows;

The given equation is y = -2·x + 25

When y = 0, we have the x-intercept as 0 = -2·x + 25

∴ 2·x = 25

x = 25/2 = 12.5

Therefore, the coordinate of the x-intercept is (12.5, 0)

When x = 0, we have the x-intercept as y = -2·x + 25 = -2 × 0 + 25 = 25

The coordinate of the y-intercept is (0, 25)

VI. The general equation of a straight line is y = m·x + c

Where;

m = The slope of the line

c = The y-intercept

For the  line that goes through the points (-3, 8) and (-4, -9), we have;

[tex]The \ slope, \, m =\dfrac{-9-8}{-4- (-3)} = \dfrac{-9-8}{-4+3} = 17[/tex]

The equation in point and slope form is y - 8 = 17 × (x - (-3))

∴ y  = 17·x + 51 + 8 = 17·x + 59

The equation of the line is y = 17·x + 59

Answer:

2 sq rt 33

Step-by-step explanation:

1st step:  subtract one, each side

(radical 2/3)r = 22

2nd step:  set up a proportion

(radical 2/3)r = 22

3rd step:  cross-multiply

radical 2*r = 66

4th step:  solve for 'r'

r = 66 / radical 2

5th step:  rationalize the denominator

multiply numerator and denominator by radical 2

6th step:  simplify

(66[tex]\sqrt{2}[/tex]) / 2 = 33 [tex]\sqrt{2}[/tex]

Answer:

B

Step-by-step explanation:

Distributing the right side, the equation becomes

6-x=16+4x

Add x to both sides and subract 16

5x=-10

Divide by 5

x=-2

Answer:

y + 4 = - (x - 5)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 1 and (a, b) = (5, - 4) , then

y - (- 4) = - 1 (x - 5) , that is

y + 4 = - (x - 5)

Answer:

[tex]y+4=-(x-5)[/tex]

Step-by-step explanation:

Point-slope form equation is written as:

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

where m is the slope and [tex](x_1,y_1)[/tex] is the point which the line passes through  so to to find the equation of line which passes through the point

(5 , -4) it means the point should satisfy the equation which furthermore means that the point lies on the lie so we can replace y1 with -4 and x1 with 5 and since we have m = -1 we can thus find b and rewrite the equation like this:

[tex]y-y_1=m(x-x1)\\y-(-4)=-1(x-5)\\y+4=-x+5[/tex]

since we need it point-slope form we leave it like this

[tex]y+4=-(x-5)[/tex]

Answer:

The difference in elevation of the two towns is 3182 feet.

Step-by-step explanation:

Let's treat the elevation of sea level as 0 feet. That way, we can calculate the elevation of the two spots by using it as a measuring parameter.

Apple Valley is 2,900 feet above sea level. Hence, its elevation is (0 + 2,900) feet, which is 2,900 feet.

Death Valley is 282 feet below sea level. Hence, its elevation is (0 - 282) feet, which is -282 feet.

Hence, to calculate the difference, we subtract the elevation of Death Valley from that of Apple Valley, getting [2900 - (-282)] feet, which equals to (2900 + 282) feet which is 3182 feet.

Therefore, the difference in elevation of the two towns is 3182 feet.

Hope this helped!

Answer:

5(2+xy)

Step-by-step explanation:

10+5xy

Factor out 5 from the expression

thus,the answer is 5(2+xy)

Answer:

35 dollars

Step-by-step explanation:

10% is 5 dollars so 30% is 15. 50 - 15 = 35

Answer: thirty five dollars

Step-by-step explanation: if you spent 30% on other things you have 70% on books and that is 35 dollars

Answer:

6314

Step-by-step explanation:

Answer: down and left and right and up

Step-by-step explanation:

Answer:

it's 4

Step-by-step explanation:

big brainnnnnnnnnn