What is the range of the function graphed below?

Option C. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.  This labeled is correct.

According to the linear function,
Every linear function is characterized by a constant rate of change; the slope. The slope of a linear function is a measure of the “steepness” of the line. We use the symbols Δx and Δy which mean respectively the “change in x ” and the “change in y ”.

So Option C is correct after all assumptions.

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This equation is separable,

[tex]\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt[/tex]

Integrate both sides and solve for [tex]A[/tex] :

[tex]\displaystyle \int \frac{dA}A = -6 \int dt[/tex]

[tex]\ln|A| = -6t + C[/tex]

[tex]e^{\ln|A|} + e^{-6t+C}[/tex]

[tex]\implies A(t) = Ce^{-6t}[/tex]

Solve for [tex]C[/tex] using the initial value.

[tex]A(0) = 6 \implies 6 = Ce^0 \implies C=6[/tex]

Then the particular solution is

[tex]\boxed{A(t) = 6e^{-6t}}[/tex]

Answer:

to solve fractions such as

1 1/3

first multiple the denominator with the whole no.

and then add with the numerator

here 3 * 1 + 1 /3

= 4/3

1 2/3

= 3*1 + 2 /3

5/3

The exponential function decays at three-fourths the rate of the quadratic function.

The given inequality is -2≤x≤0.

We need to determine how do the decay rates of the functions compare over the interval.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.

We calculate the average slope of each graph in the indicated interval, the slope can be calculated as [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now, for the exponential function:

[tex]m_{c} =\frac{4-1}{-2-0} =\frac{3}{-2}[/tex]

For the quadratic function:

[tex]m_{q} =\frac{4-0}{-2-0} =\frac{4}{-2}=-2[/tex]

Now, the ratio of both average slopes is[tex]\frac{m_{c} }{m_{q}} =\frac{\frac{3}{-2} }{-2} =\frac{3}{4}[/tex].

Therefore, the exponential function decays at three-fourths the rate of the quadratic function.

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Step-by-step explanation:

el resultado le puedo ayudar si sabe Spanish

Answer:

see below

Step-by-step explanation:

White = 1 1/3   = 4/3 =  16/12

Color =   3/4 = 9/12  

white - color ==   16/12 - 9/12 = (16-9) / 12 = 7/12 of a scoop more for the white load

Answer:

D

Step-by-step explanation:

[tex]1200( {1.025}^{5} ) = 1357.69[/tex]

From point (0, 9/2) and (-9, 0) we get a straight line.

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

Here, given equation:

    (y − 3) = 1/2(x + 3)

at x = 0,

    y - 3 = 1/2 (0 + 3)

    y - 3 = 1/2 X 3

     y = 3/2 + 3

    y = 9/2

at y = 0,

   0 - 3 = 1/2 (x + 3)

    -3 = 1/2 (x + 3)

    -6 = x + 3

    x = -6 - 3

   x = -9

Thus, from point (0, 9/2) and (-9, 0) we get a straight line.

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Answer:

1.  x = 55°

2.  x = 11°

3.  x = 30°

4.  x = 19°

Step-by-step explanation:

Trigonometric Identities

[tex]\sin(x)=\cos(90^{\circ}-x)[/tex]

[tex]\cos(x)=\sin(90^{\circ}-x)[/tex]

Question 1

[tex]\begin{aligned}\implies \sin(35) & =\cos(90-35)\\ & = \cos(55)\end{aligned}[/tex]

[tex]\implies x=55^{\circ}[/tex]

Question 2

[tex]\begin{aligned}\implies \cos(79) & =\sin(90-79)\\ & = \sin(11)\end{aligned}[/tex]

[tex]\implies x=11^{\circ}[/tex]

Question 3

[tex]\begin{aligned}\cos(x)& =\sin(2x)\\\implies \cos(x)& =\sin(90^{\circ}-x)\\\\\implies 2x & = 90-x\\3x & = 90\\x & = 30^{\circ}\end{aligned}[/tex]

Question 4

[tex]\begin{aligned}\sin(x+4)& =\cos(4x-9)\\\implies \sin(\theta)& =\cos(90^{\circ}-\theta)\\\\\implies x+4 & = 90-(4x-9)\\x+4 & = 90-4x+9\\5x & = 95\\x & = 19^{\circ}\end{aligned}[/tex]

Answer:

y=-45x + 100

Step-by-step explanation:

The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept or in other words the initial amount (when x is 0). Since you start off with 100 dollars the y-intercept is going to be 100 since after 0 weeks (when you opened the account) you put 100 dollars in... so you should have 100 dollars. The slope is going to be -45 since you are withdrawing 45 each week so the value is going to be decreasing by 45 every week. If you put that together you get y=-45x+100

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

Given the following expression

32ab - 8

Find the factors of each terms

32ab = 8 * 4. * a * b

8 = 8 * 1

Since 8 is common to both factors, hence

32ab - 8 = 8(4ab -1)

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

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The tax paid by the condominium owner  is $2,632.88.

Tax is a compulsory levy that is paid to the government. The type of tax that is paid by the condominium owner is known as property tax.

Tax paid = (78,584 / 100) x $3.49 x (1 - 0.04) = $2,632.88.

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Answer:

option B is correct

To write any equations in the form of matrix

first make a matrix of all coefficients of that equations.. here coefficients of first equation is 4 and - 2 and that of second is 0 ( as there is no value of X) and 3

then make second matrix of X and y

last of answer of the equations, here (-7 ) and 5

Answer:

undefined

Step-by-step explanation:

Since line m passes through two points that have the same x-value but different y values, line m is horizontal to the y-axis which has an undefined slope.

Taking the change in y over the change in x. Then the correct option is A.

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]

The equation of the line can be determined by the two known points.

Taking the change in y over the change in x.

Then the correct option is A.

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Answer:

n=1

Step-by-step explanation:

-n+4=8n-5

9=9n

n=1

hope that helps

Answer:

g(x) = sin(x)

f(x) = e^x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=e^x\\g(x)=sin~x\\y=f(g(x))=f(sin~x)=e^{sin~x}[/tex]

The value of expression is n=3 and r= 16

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

[tex](4k^{7})^{3} = 4^{n}* (k^{7})^{3} = 64 k^{21}[/tex]

[tex](64 k^{21}) = 4^{n}* k^{21} = 64 k^{21}[/tex]

[tex]4 ^{3} * k^{21}= 4^{n}* k^{21}[/tex]

On comparing

n=3

Now,

[tex](-3r^{-4})^{-4} = (-3)^{-4} * (r^{-4})^{-4} = 1/81* r^{m}[/tex]

[tex](-3)^{-4} * (r^{-4})^{-4} = 1/81* r^{m}\\1/ (-3)^{4} * 1/(r^{-4})^{4} = 1/81* r^{m}\\1/ (-3)^{4} * (r^{16}) = 1/81* r^{m}[/tex]

1/81 * r^16 = 1/81 * r^{m}

On compairing

r = 16.

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Answer:

answer in picture

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

so 7 appetizers times 8 main courses

I do a easy trick where I multiple so

7×8=56

The probabilities in the question are

we have

z< 70 - 100/12

= z < -30/12

= -2.5

Such that p (x<70) = 0.0062

Hence the probability that is is less than $70 = 0.0062

90 - 100/12. 120 - 100/12

= -0.8333 <z< 1.67

p(90<x<120) = 0.95224 - 0.20234

= 0.7499

0.7499 is the probability of  between $90 and $120.

140-100/12

= P(Z>3.3333)

= 0.000429

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Answer:

Step-by-step explanation:

Answer:

[tex]\textsf {p(-4) = -134}[/tex]

Step-by-step explanation:

[tex]\textsf {Given :}\\[/tex]

[tex]\mathsf {p(x) = x^{3} - 3x^{2} + 7x + 6}[/tex]

[tex]\textsf {Substitute x = -4 to find p(-4) :}[/tex]

[tex]\mathsf {p(-4) = (-4)^{3} - 3(-4)^{2} + 7(-4) + 6}[/tex]

[tex]\mathsf {p(-4) = -64 - 48 - 28 + 6}[/tex]

[tex]\textsf {p(-4) = 6 - 140}[/tex]

[tex]\textsf {p(-4) = -134}[/tex]

Answer:

The rate at which the temperature drops.

Step-by-step explanation:

In science, the dependent variable is what you are measuring.
In math, the dependent variable is what you are evaluating.

Same idea, different topic.

Answer:

d=temp drop

t=hours

dependent variable is the temperature drops because the number of hours will tell you how much the temprature drops

this is the equation

total temp drops=t x 5

hope this helps!?

The better option will be at DiscountsRUs 40% off on any purchase.

The amount of money which is reduced on any product below its actual selling price is called the discount.

here we have two offers from the two stores Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase.

For a Dominic, the discount is fixed for any purchase that is if you purchase a $50 product or a $1000 product you will be getting only a $15 discount.

Now for the second store, the discount is given as 40% so if you purchase $50 your discount will be $20. If you purchase $1000 so 40% discount will be $400.

Therefore better option will be at DiscountsRUs 40% off on any purchase.

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The area of the rhombus is 829.1562m².

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  [tex]\frac{1}{4}d[/tex] ×√(p² - 4d²)

where p is the perimeter and d is the diagonal

1/4(50) x √(120² - 4 x 50²) =829.1562m²

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Answer:

43.96ft

Step-by-step explanation:

In the hint, you are given the equation [tex]C = 2\pi r[/tex].

Here, [tex]C[/tex] is the circumference, [tex]r[/tex] is the radius, and [tex]\pi[/tex] is a constant (a value that doesn't change). In this question, you are told to assume the value of [tex]\pi[/tex] is 3.14.

You are told the radius is 7, therefore, [tex]r[/tex] = 7.

Now we have these values, let's substitute them into the equation:

[tex]C = 2 * 3.14 *7[/tex]

For clarification, the stars mean multiplication.

So, the product of those values will give us our circumference, [tex]C[/tex].

In this case, you get an answer of 43.96ft.

Answer:

360

Step-by-step explanation:

using the definition

n [tex]P_{r}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

where n! = n(n - 1)(n - 2)..... × 3 × 2 × 1

then

6[tex]P_{4}[/tex]

= [tex]\frac{6!}{(6-4)!}[/tex]

= [tex]\frac{6!}{2!}[/tex]

= [tex]\frac{6(5)(4)(3(2)(1)}{2(1)}[/tex] ← cancel 2(1) on numerator / denominator

=  6 × 5 × 4 × 3

= 360

The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

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