What is the range of the function graphed below?

A. Y>-1
B X< -1
C X>-1
D Y< -1

LOOK AT THE GRAPH.

Answer:

c

Step-by-step explanation:

The absolute value function would be;

b. y= -7 |x - 8| +4

Given that;

The functions are,

a. y= 7 |x+8| -4

b. y= -7 |x-8| +4

c. y= -7 |x+8| -4

d. y= -7 | x-8| -4

Since, The absolute value function is a mathematical function that returns the positive magnitude or value of a given number, disregarding its sign. It is denoted by enclosing the number within vertical bars (| |).

In the given options, the equation that represents the absolute value function is:

b. y = -7 |x - 8| + 4

This equation represents a downward-opening V-shaped graph with its vertex at (8, 4).

As x approaches 8 from the left, the value of y decreases.

As x moves away from 8 towards positive or negative infinity, the value of y increases.

Therefore, the correct option is (b).

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Answer:

[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]

• further more:

[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.

The logarithmic equation given in the question is:

[tex]log_x5 + log_x12 = 7[/tex] ...(i)

By using the following property of logarithm, we can simplify this equation.

[tex]log_x(ab) = log_xa + log_xb[/tex]

By using this property in eq (i)

[tex]log_x[5 \times 12] = 7[/tex]

[tex]log_x[60] = 7[/tex]

By using logarithmic transformation.

[tex]x^7 = 60[/tex]

∴ [tex]x^7 - 60 = 0[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

Hence, The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

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Answer:

D

Step-by-step explanation:

The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.

This is the only one that makes sense because of the last sentence which you have the choice to pay in full or a minimum payment

The option that best describes how a credit card works is D. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.

In conclusion, the correct option is D.

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The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).

We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)

Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get

= (5-3)/(4-0)

= 2/4

= 1/2

Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get

3=1/2(0)+c

c=3

Put m=1/2 and c=3 in y=mx+c, we get

y=1/2 x+2

The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.

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Answer: my last names Ramirez!

Step-by-step explanation:

Answer:

given m<4 = 35° and m<1 = m<2 + m<4

prove m<3 = 70°

Statements Reasons

m<4 = 35° given

m<1 = m<2 + m<4 given

m<2 = m<4 by the vertical angles theorem

35° = 35° substitution property of equality

m<2 + m<4 = m<1 angle addition postulate

35° + 35° = 70° substitution property of equality

m<3 = m<1 by the vertical angles theorem

m<3 = 70° substitution property of equality

The two column proof for the given set of angles are:

m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

Given data:

The measure of angle

The measure of angle m∠4 =35,

The measure of angle m∠1= m∠2 + m∠4.

Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Therefore, m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

35° + 35° = 70° substitution property of equality

Hence, the measure of angle m∠3 = 70°

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Answer:

$56

Step-by-step explanation:

cost of 8 packages of clay = $ 32

cost of 1 package of clay = 32 / 8 = $4

cost of 14 packages = 14*4 = $ 56

Step-by-step explanation:

a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.

b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)

c. y = mx + b. Refer to a.

Answer:

a) y-b=m(x-0)

b) (x1, y1) , point-slope, y, slope-intercept

Explanation

Answer:

45

Step-by-step explanation:

78

Answer:

b=-17

Step-by-step explanation:

1) add common terms aka 5 and 12, which is 17

b+17=0

2) move seventeen to the other side by doing the opposite opperation of addition which is subtraction

b=-17

Answer: its the same amount

Step-by-step explanation:

Answer:

$0.96

Step-by-step explanation:

Take your cost and divide it by your amount.

$11.52/12 = 0.96

70°

Step-by-step explanation:

because AB//CD value of x is :

x = 30° + 40°

x = 70°

Answer:

answer 3

Step-by-step explanation:

point slope form is

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

Answer:

12%

Step-by-step explanation:

each shares 12% because 100-28=72

72÷6=12%

Answer:

15033

Step-by-step explanation:

14,406 -(-627)

Answer:

n=639.48

Step-by-step explanation:

Answer:

639.48

Step-by-step explanation:

Answer:

x or AB = 9

Step-by-step explanation:

Use Pythagorean Theorem to solve for missing side.

Pythagorean Theorem: a² + b² = c²

Plug our sides in to get AB² + BC² = AC²

We are solving for AB so we arrange the equation to get:

AB² = AC² - BC²

Solve for AB:

AB² = (√117)² - (6)²

AB² = 81

AB = 9

x or AB = 9

Step-by-step explanation:

Dilation :

the scale factor is 3 and the center of dilation is the origin.

A(1,1) => A'(3, 3)

B(3,1) => B'(9, 3)

C(2,3) => C'(6,9)

The transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.

On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.

As per the given question,

We have the scale factor i.e. 3 multiplying the coordinates of the points (x, y) for the center of dilation is the origin.

A(1,1) → A'(3, 3)

B(3,1)→ B'(9, 3)

C(2,3) → C'(6,9)

Thus, the transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.

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9514 1404 393

Answer:

  (d)  y = 2×7^x

Step-by-step explanation:

If you try x=2 in each of the expressions, you find only one of the gives 98 as the value.

  a) 14^2 = 196

  b) 7×2^2 = 28

  c) 2^(7×2) = 2^14 = 16,384

  d) 2×7^2 = 2×49 = 98 . . . . . . . correct answer choice

__

Alternatively, you can recognize that the x-values in the given (x, y) pairs differ by 1, so the ratio of y-values will be the base of the exponential term:

  98/14 = 7

so you're looking for something of the form 7^x. That would be ...

  y = 2×7^x

__

In more general terms, consider

  y = ab^x

If you have x=1 and x=2, then this will be ...

  y1 = ab^1 = ab

  y2 = ab^2

Dividing the second by the first gives ...

  y2/y1 = (ab^2)/(ab) = b . . . . . . . general solution when x-values differ by 1

  98/14 = b = 7

From the x=1 case, we have ...

  14 = 7a   ⇒   a = 2

  y = 2·7^x

9514 1404 393

Answer:

  1 ÷ 6

Step-by-step explanation:

1/6 is a division expression. It means "one divided by six."

The slash (/) can be replaced by the "divided by" symbol (÷), if you like.

  1/6 = 1 ÷ 6 . . . . means "one divided by six"

Answer:

2/3 is right one . option no B

Answer:

-+=- is true

Step-by-step explanation:

because - and+ are equal to -

but - and- are eqial to +

9514 1404 393

Answer:

  18.8 mi

Step-by-step explanation:

The Pythagorean theorem can be used to find the straight-line distance between the towns. The distances 8 mi and 17 mi form the legs of a right triangle, whose hypotenuse is the straight-line distance.

  d² = 8² +17² = 64 +289 = 353

  d = √353 ≈ 18.8  . . . miles

The two towns are about 18.8 miles apart.

Answer:

lu have to ask mss v for the question