Does anyone know the answers to this test???OFFERING LOTS PF POINTS. Just Incase the picture isn’t loading it’s the parametric functions test Part 1 in pre calculus.

Does Anyone Know The Answers To This Test???OFFERING LOTS PF POINTS. Just Incase The Picture Isnt Loading

Answers

Answer 1

Answer:

The correct choice is C

Step-by-step explanation:

The given curve is described by the parametric equations:

[tex]x=4-t[/tex]

[tex]y=t^2-2[/tex]

Let us eliminate the parameter by making t the subject in the first equation and substitute into the second equation;

[tex]t=4-x[/tex]

We substitute this into the second equation to get:

[tex]y=(4-x)^2-2[/tex]

This is the equation of a parabola whose vertex is at (4,-2)

The correct choice is C


Related Questions

Given that f(x) is the original function, what is true about the transformation, g(x)? g(x) is reflected about the y-axis. g(x) is reflected about the y-axis and shifted up by 4 units. g(x) is reflected about the x-axis. g(x) is reflected about the x-axis and shifted up by 4 units.

Answers

Answer:

C

GX is reflected across the X-axis

g(x) is reflected across the X-axis if f(x) is the original function.

What is function?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here we have f(x) is the original function, the true value of g(x) is that g(x) is reflected across the X-axis.

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What is the monthly payment of a financed amount of $14,452 with an APR of 8.9 percent? The term is for 5 years and the monthly payment per $100 is $2.41. $332.80 $348.29 $100.00 $241.00

Answers

Answer:

$348.29

Step-by-step explanation:

The payment is calculated by multiplying the rate per hundred times the number of hundreds. The latter is found by dividing the loan amount by $100.

$2.41 × $14,452/$100 ≈ $348.29

Answer:$299.16

 

Step-by-step explanation:

Financed amount = $14452

APR  = 8.9%

Period / time = 5 years

monthly payment = $100 for every $2.07

To calculate the monthly payment of a financed amount we multiply the financed amount by the ratio of the given amount paid per $100

The monthly payment would be =  14452 * 2.07/100 = 14452 * 0.0207

= $299.16 approximately

therefore the monthly payment of a financed amount of $14452 is equal to $299.16

A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is shown in the following table:


Product Function Year 1
(dollars) Year 2
(dollars) Year 3
(dollars)
Product 1 f(x) = 4x + 8 12 16 20
Product 2 g(x) = 2^x 2 4 8
Product 3 h(x) = x^2 + 12 13 16 21
Product 4 j(x) = x^3 1 8 27


Based on the data in the table, for which product does the price eventually exceed all others?
Product 1
Product 2
Product 3
Product 4

It’s product two right???

Answers

Product 4 after the third year is 27 which is higher than the rest after 3 years.

And because x is raised to the third, the amount would Increase by being raised to the 3rd every year.

The answer is Product 4.

Identify m∠EOF. HELP PLEASE!! I don't understand!

Answers

Answer: 119°

Step-by-step explanation:

A circle equals 360° degress. If you subtract the two angles shown in the picture you'll get 238°.

Now vertical angles are congurent thus if we divide 238 into 2 we get 119°.

Answer:

it's 119

step explanation:

i guessed and got it rt, lol.

What is the value of x?

sin49° = cosx

Enter your answer in the box.

x = ? °

Answers

Answer:

x =41°

Step-by-step explanation:

⇒ sin (49°) = cos (90° - 49°) = cos (41°)

Sinus is a periodic trigonometric function, defined in the context of a right triangle as the ratio of the opposite leg to the hypotenuse.

Cosinus is a periodic trigonometric function, defined in the context of a right triangle as the ratio of the adjacent leg to the hypotenuse.

Final answer:

To find the value of x where sin49° equals cosx, we utilize the identity sin(90° - x) = cos x, which yields the answer x equals 41°.

Explanation:

To find the value of x where sin49° = cosx, we use the trigonometric identity sin(90° - x) = cos x. Since sin49° is given, we can set up our equation as:

sin(90° - x) = sin49°.

This reveals that 90° - x = 49°

Solving for x, we get:

x = 90° - 49°

x = 41°

Therefore, the value of x is 41°.

Three Friends are starting a food truck and a contributing a total of 140,000 to begin operations. Their investments are in the ratio of 2:5:7. What is the difference in investment betweenThe smallest investor and the largest Al smallest investor and the largest inverstor

Answers

Answer:

Step-by-step explanation:

The sum of those numbers is 14.  Let's divide 14000 by 14 to get the number of parts (each part will be an investment in dollars) and we get 10,000.  So if a person invests 2 parts, he invests 2(10,000).  A person that invests 5 parts invests 5(10,000), and likewise for the person investing 7 parts: 7(10,000).  That gives us 20,000 + 50,000 + 70,000 = ?  

(140,000)

The difference in investment between the largest and the smallest is 50,000

Final answer:

To find out the investments of three friends in a ratio of 2:5:7, one part is calculated as $10,000. The smallest investor contributes $20,000 and the largest investor contributes $70,000. Hence, the difference in their investments is $50,000.

Explanation:

The question is asking to determine the individual investments of three friends in a food truck business based on their total contributions amounting to $140,000 and the ratio of their investments being 2:5:7. First, we find the total number of parts in the ratio (2+5+7=14 parts). To find the value of one part, we divide the total investment by the number of parts ($140,000 \/ 14 = $10,000 per part).

Now, we can calculate each friend's investment:

The difference in investment between the smallest and the largest investor is $70,000 - $20,000 = $50,000.

Nine lollies cost less than $10, while ten lollies cost more than $11 how much does each lollipop cost?

Answers

$21 it will cost for lollipop

Answer:

$1.10

Step-by-step explanation:

1.10 times 10

prove that 5^31–5^29 is divisible by 100.

Answers

5^31-5^29

=5^29(5^2-1)

=5^29(25-1)

=5^29(24) ...a

100=5^2x4 ...b

Divide a by b

5^29(24) / 5^2 x 4

=5^27 x 6

This, 5^31-5^29 is divisible by 100.

So far, Greg has driven 5.1 miles. He needs to drive a total of 25 miles. How many more miles must Greg drive?

Answers

Answer: 19.9

Step-by-step explanation:

25 - 5.1 = 19.9

Answer:

19.9

Step-by-step explanation:

25-5.1

= 19.9

To make sure:

19.9+5.1

=25

I hope this help you.

Evaluate d^2y/dx^2 for 2x^2+2y=17

Answers

Answer:

d^2y/dx^2 = 2

Step-by-step explanation:

We take the derivative with respect to x twice here.  Find the first derivative, simplify the results and then differentiate that result again with respect to x.

(d/dx)(2x^2+2y=17+  →  4x + 2(dy/dx) = 0.  Simplifying, we get:

dy/dx = -2x

Now take the derivative of this new equation, obtaining:

d^2y/dx^2 = 2

Match the type of graph with its description.

1. bar graph
2. line graph
3. scatter plot
4. histogram
5. box-and-whisker plot

a. Compares data that is in categories.
b. Used to see trends in data.
c. Organizes data into 4 groups of equal size, and is often used to compare two sets of data.
d. Shows change over time.
e. Shows frequency of data, using equal intervals with no space between the bars.

Answers

1. bar graph - Compares data that is in categories.

2. line graph - Shows change over time.

3. scatter plot - Used to see trends in data.

4. histogram - Shows frequency of data, using equal intervals with no space between the bars.

5. box-and-whisker plot - Organizes data into 4 groups of equal size, and is often used to compare two sets of data.

School is almost over, good luck!!

What is the volume of a sphere whose radius is 6 ft

Answers

Answer:

Option C. [tex]288\pi\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere is equal to

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

we have

[tex]r=6\ ft[/tex]

substitute

[tex]V=\frac{4}{3} \pi (6)^{3}[/tex]

[tex]V=288\pi\ ft^{3}[/tex]

Final answer:

The volume of the sphere with a radius of 6 ft is 904.78 ft³.

Explanation:

The volume of a sphere can be calculated using the formula: V = (4/3)πR³. Given a radius of 6 ft, we can substitute this value into the formula to find the volume:

V = (4/3)π(6 ft)³

V = (4/3)π(216 ft³)

V = 904.78 ft³

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Expand logb square root of 41/97

Answers

Answer:

A

Step-by-step explanation:

logb √(41/97)

Square root can be written in exponent form:

logb (41/97)^½

Using log exponent rule:

½ logb (41/97)

Using log quotient rule:

½ (logb 41 - logb 97)

Write the rule for the translation

Answers

Answer:

(x, y)-->(x-7, y+4)

Step-by-step explanation:

To get from T to T', you have to move the image 7 units to the left of the preimage.  From that point, you have to move up 4.

What is the y-coordinate of the point of intersection for the two lines given below?

A: 4
B: -14
C: -3
D: -2

Answers

Answer:

B. -14

Step-by-step explanation:

If you solve the system using the method of elimination, the y terms will automatically cancel each other out without any manipulation at all.  So go with it and solve for x first.  If the y terms cancel out, you're left with x = -3.

If x = -3, sub that value in for x in eitheer one of the original equations and solve for y:

[tex]3x-y=5[/tex] becomes

[tex]3(-3)-y=5[/tex] and

[tex]-9-y=5[/tex] so

[tex]y=-14[/tex]

Vector u has a magnitude of 5 units and a direction angle of 30°. Vector v has a magnitude of 7 units and a direction angle of 120°. What is the direction angle of their vector sum?

A. 82.21°
B. 84.46°
C. 85.11°
D. 86.13°

Answers

Answer:

B. 84.46°

Step-by-step explanation:

Since the vectors are at right angles to one another, even a crude diagram will quickly show you that the direction of the sum is ...

30° + arctan(7/5) ≈ 84.4623° ≈ 84.46°

You deposit 350 in an account that pays 3% annual intrest. Find the balance afer 2 years if the intrest is compounded

Answers

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$350\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=350\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=350(1.03)^2\implies A=371.315[/tex]

Last week at best bargain, 75% of the computers sold were laptops. If 340 computers were sold last week, how many laptops were sold?

Answers

Answer:

255

Step-by-step explanation:

1. 75% is actually 0.75, and you want to find 75% of 340.

2. Multiply 0.75 and 340. 0.75 x 340 = 255

3. Answer = 255

Analiza la sigientes preguntas y subraya la respuesta correcta segun corresponda a al resolver el sistema

Answers

Como? No entiendo perdón

PLEASE HELP ASAP 50 Pts + BRAINLIEST TO RIGHT/BEST ANSWER

Answers

Answer:

[tex]f(x)=(x+2)(x-5)(x-6)[/tex]

Step-by-step explanation:

we know that

If the zeros of the function are

x=-2, x=5 and x=6

then

The factors are

(x+2), (x-5) and (x-6)

therefore

The polynomial function in factored form is equal to

[tex]f(x)=(x+2)(x-5)(x-6)[/tex]

Alexandria, a car dealer, earns 40% commission of her luxury vehicles sales. Last year, her sales were $480,000. What was the total dollar amount of her commission last year?

Answers

Answer:

192,000

Step-by-step explanation:

480,000x.40 =  192,000 commission.

Answer:

480000 * 0.40 = $192,000

The total dollar amount of her commission last year is $192,000

Step-by-step explanation:

NEED HELP ASAP ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
what is the value of x assume that the line is tangent to the circle

Answers

Answer:

70

Step-by-step explanation:

An angle on the circle is half of the intercepted arc. Since the circle is 360, you can subtract 220 from 360 and find the intercepted arc which is 140. Divide that by 2 and you get 70.

HELP DO NOT UNDERSTAND THIS QUESTION AT ALL THE BEST ONE WILL BE MARKED AS BRAINLIEST

Answers

Step-by-step answer:

A line with slope (or gradient) m, passing through a point (x0,y0) can be represented by the equation:

(y-y0) = m(x-x0)  ......................(1)

Here,

(x0,y0) = (1,7), and

slope/gradient = -2

Substitute values into (1) above gives

(y-7)=2(x-1)

Expand and simplify

y-7 = 2x-2

y =2x -2 + 7

y=2x+5

is the final answer.

sketch the graph of y = sin(x) over the interval [-π /2 , π /2 ]

Is it just the regular graph within those numbers?

Answers

Correct. It is only interested in the portion of the graph confined to this interval

An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.

Answers

First, you have to find the 52% of the 30%(chance that he gets a dividend) .Then you simply have to subtract the result (15.6%) from the 30%. Your result is 14.4% chance that he wont get a divident.

Answer:

14.4%

Step-by-step explanation:

An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.

Probability is the chance/likelihood that an event will occur or not

The chances that one makes money from a stock is 30%

Chances that one will not=70%

Chances that there will dividend among those who made money is =52%

chances that there wont be dividend is =100%-52%=48%

the probability that One will make money and not receive a dividend

is 30%*(100%-52%)

14.4%

Joanne divided 14 of a pastry into 3 equal pieces. Which fraction of the original pastry represents each of the 3 pieces Joanne cut?

Answers

Answer:

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

Step-by-step explanation:

Note Is a 1/4 of a pastry instead of 14 of a pastry

we know that

To find the fraction of the original pastry that represents each of the 3 pieces cut by Joanne, divide 1/4 by 3

so

[tex](1/4)/3=\frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

The equation yˆ=24.387x + 328.182 models Math SAT scores, y, where x is the number of hours spent studying.

What does the y-intercept of the equation represent in the context of the situation?

The average number of hours studied is about 328.
Without any studying, the score would be about 328.
Without any studying, the score would be about 24.
The average number of hours studied is about 24.

Answers

Answer:

Without any studying, the score would be about 328

Step-by-step explanation:

The y-intercept of an equation represents the point where its graph crosses the y-axis. At this point the value of x is always equal to 0.

The y-intercept of the equation in this context would represent the Math SAT score of a student who did not do any studying, that is the number of hours spent studying, x = 0.

Substitute x = 0 in the given equation and solve for y;

y = 24.387(0) + 328.182

y = 328.182

Therefore, Without any studying, the score would be about 328

40 Points Please Help I'm not sure if they are correct.



Distance Formula: ​

D=(x​2​​ −x1​​ )^2​​ +(y2​​ −y1​​ )^2



1. Find the distance between (0,0) and (6,8)?


2. Find the distance between (-3,2) and (3,5)?


3. Find the distance between (-1,-1) and (4,-5)?

Answers

Replace the x and y values in the given equation.

1. d = √((6-0)^2 + (8-0)^2

= √(6^2 + 8^2)

= √(36 + 64)

= √100

= 10

2. d = √((3-(-3))^2 + (5-2)^2

=√((3+3)^2 + 3^2)

=√(6^2 + 3^2)

= √(36 + 9)

= √45

=3√5 ( exact ) or as a decimal 6.7082 (round as needed)

3.  d = √((4-(-1))^2 + (-5-(-1))^2

= √((4+1)^2 + (-5+1)^2)

= √(5^2 + -4^2)

=√(25 + 16)

= √41 (exact) or as a decimal 6.4031 (round as needed)

Find an explicit rule for the nth term of the sequence.
-4, -8, -16, -32, ...
Select one:
a. an = -4 • 2n - 1
b. an = 2 • -4n + 1
c. an = 2 • -4n
d. an = -4 • 2n

Answers

Answer: -4 . 2ⁿ⁻¹

Step-by-step explanation: This is a geometric progression

the nth term is given by arⁿ⁻¹

a = the first term of the sequence

r = common ratio

n=  number of terms

for this sequence

a = -4

r = -8/-4 = 2

nth term, an = -4 . 2ⁿ⁻¹

Answer:

an = 2 ● (-4)n-1

Step-by-step explanation:

Just got it right

What is the probability of randomly selecting an odd number from the numbers 1-15

Answers

Answer:

7/15

Step-by-step explanation:

odd numbers are those that do not have divides ie1,2,3,5,7,11,13

The probability of randomly selecting an odd number from the numbers 1-15 is 8/15.

What is the probability?

Probability is used to know the odds that an event would happen.  The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability that a randomly selected number would be odd = number of odd numbers / total numbers

Odd numbers between 1 and 15 = 1 , 3, 5, 7, 9, 11, 13, 15

Probability that a randomly selected number would be odd = 8/15

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