Which description is correct for the polynomial 4x^2+3x-2?

The dolphin's friend is 8.63 meters below the surface of the water relative to the dolphin's jumping point.

To solve this problem, we can use the kinematic equation that relates initial velocity, final velocity, acceleration, and displacement:

vf² = vi² + 2ad

The positive value of d indicates that the dolphin's friend is 8.63 meters below the surface of the water relative to the dolphin's jumping point.

The dolphin's friend is 5.3 meters below the surface of the water.

Let's reassess the problem with the given constraints more carefully.

We need to find the position of the dolphin's friend relative to the surface of the water.

1. Dolphin's height above the water:

[tex]\[ 4.5 \text{ meters above the surface} \][/tex]

2. Distance between the dolphin and her friend:

[tex]\[ 9.8 \text{ meters below the dolphin} \][/tex]

Since the friend is swimming below the dolphin, we need to subtract this distance from the height of the dolphin above the surface to find the position of the friend relative to the water surface.

3. Calculate the position of the dolphin's friend:

[tex]\[ \text{Position of friend} = 4.5 \text{ meters} - 9.8 \text{ meters} \][/tex]

[tex]\[ \text{Position of friend} = -5.3 \text{ meters} \][/tex]

This means the dolphin's friend is 5.3 meters below the surface of the water.

7 squared is 49, and 9 squared is 81. 49+81=130   7,9 are your answers

Answer:

Probability that card is queen given that card is club is [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

Given : A card is chosen from a standard deck of cards.

To find : What is the probability that the card is a queen, given that the card is a club?

Solution : It is the conditional probability

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

Let A is probability that card is queen.

Let B is the probability that card is a club.

Probability that card is queen given card is club [tex]P(A\cap B)=\frac{4}{52}=\frac{1}{13}[/tex]

Probability that card is club from deck of 52 cards [tex]P(B)=\frac{13}{52}=\frac{1}{4}[/tex]

To find probability that card is queen given that card is club [tex]P(A|B)[/tex]

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

[tex]P(A|B)=\frac{\frac{1}{13}}{\frac{1}{4}}[/tex]

[tex]P(A|B)=\frac{1\times4}{13\times 1}=\frac{4}{13}[/tex]

Therefore, Option A is correct.

Probability that card is queen given that card is club is [tex]\frac{4}{13}[/tex]

Answer:

the correct answer was 1/13

Step-by-step explanation:

i took my test and put 4/13 which was wrong and said that 1/13 is the right answer

96 square yards would complete the room

Now for this you would have to think what two numbers multiplied to get 6x^2. Let's say for example 3x and 2x=6x^2

And now what two numbers multiplied together make -15, For example it can be 5 and -3

Now your ANSWER: (3x+5)(2x-3)

The GCF is 1.

Explanation:

1 has: 1 (LOL)

12 has: 1,2,3,4,6,12

16 has: 1,2,4,8,16

21 has: 1,3,7,21

24 has: 1, 2, 3, 4, 6, 8, 12, 24

30 has:  1, 2, 3, 5, 6, 10, 15, 30

44 has:  1, 2, 4, 11, 22, 44

70 has: 1, 2, 5, 7, 10, 14, 35, 70

So therefore, The GCF is 1

Hope this helps!

-Queenb369

P.S Could you possible give me the brainlist if i get it right.

[tex]x^3-4^3 = (x-4)(x^2+4x+16)=(x-4)(x+4)(x+4)[/tex]

Using the distance formula, it equals sqrt(1)

I’m pretty sure the answer is B. Add 15 to 73. Divide 88 by 8 to get 11. A>11

Hey there!!

The question states that a sum is invested which is $3000 and hence, this would be counted as the principle amount or the principle sum.

The term given is 3 years, which gives us the idea that this interest is being counted or being active for 3 years.

She ( Diana ) earned the sum $450 at the end of three years. This means, the simple interest is $450.

Never get confused with the principle amount, principle sum and interest.

Principle amount = Principle sum + The interest.

Formula given :

I = prt

'p' is denoted as the principle sum, r is the rate and the t is the term or the number of years.

Now, plugging in all the values :

... 450 = 3000×r×3

... 450 = 9000×r

... r = 450 / 9000

... r = 0.05

... r = 5%

As we need the answer in the decimal form, the answer would be 0.05

Hope my answer helps!!

Two Angles are Supplementary when they add up to 180°.

m∠2 + m∠1 = 180° (*)

If ∠1 ≅ ∠3, then m∠1 = m∠3.

Substitute to the (*)

m∠2 + m∠3 = 180°

Therefore ∠2 and ∠3 are supplementary.

B

Assuming you mean the value of f(5)

If so then substitute x = 5 into f(x)

f(5) = (3 × 5) - 2 = 15 - 2 = 13 → B

Set up the proportion.  Then cross multiply and isolate the variable to solve.

[tex]\frac{8(trash bags)}{30 (days)} = \frac{x (trash bags)}{180 (days)}[/tex]

8(180)= 30(x)

[tex]\frac{8(180)}{30} = \frac{30x}{30}[/tex]

8(6) = x

48 = x

Answer: 48 trash bags

Only point U.

Therefore your answer is ONE.

Answer:

B) One

Step-by-step explanation:

If the points are collinear, then they lie on the same line.

Here U is lie on the same line where C and D points lie.

Therefore, answer is B) One.

Hope this will helpful.

Thank you.

662.46 is your answer

The required Kendall's monthly mortgage payment is $662.14.

Simple interest is defined as the percentage of earnings on the lending for a period of time.

Here,
Kendall's down payment is 12% of $119,000, which is:

0.12 * $119,000 = $14,280

So the amount she is financing is:

$119,000 - $14,280 = $104,720

To calculate her monthly mortgage payment, we can use the formula for a fixed-payment loan:

[tex]M = P * (r / (1 - (1 + r)^{-n}))[/tex]

First, we need to calculate the monthly interest rate. The annual interest rate is 4.5%, so the monthly interest rate is:

4.5% / 12 = 0.375%

Next, we need to calculate the total number of monthly payments. Kendall has a 20-year loan, which is:

20 years * 12 months/year = 240 months

Now we can plug in the values and solve for M:

[tex]M = $104,720 * (0.00375 / (1 - (1 + 0.00375)^{-240}))[/tex]

M = $662.14

So Kendall's monthly mortgage payment is $662.14.

Learn more about interest here:
https://brainly.com/question/20406888

#SPJ2

Answer:

14. The correct option is 2.

13. The correct option is 4.

Step-by-step explanation:

14.

The given function is

[tex]f(x)=4|x|[/tex]

The function is non-negative for all values of x. So, the function opens in upward direction.

The function uis in the form of

[tex]f(x)=k|x|[/tex]

Where, a is vertical stretch factor or compress factor.

If k>1, then it represent vertical stretch and if 0<k<1, then it represent vertical compression.

Since the value of k is 4, therefore it represents vertical stretch and option 2 is correct.

13.

The given function is

[tex]y=x^3[/tex]

The traslate form of given function is

[tex]y=(x+a)^3+b[/tex]

Where, a represents the horizontal shift and b represents the vertical shift.

If a>0, then the graph shifts left side by a units and if a<0, then the graph shifts right side by a units.

If b>0, then the graph shifts upward by b units and if b<0, then the graph shifts downward by b units.

Since the graph shifts vertically 5 units down and horizontally 4 units left, therefore the value of a is 4 and value of b is -5. The required equation is

[tex]y=(x+4)^3-5[/tex]

Therefore option 4 is correct.

Answer:

Total time taken for doing home work = 3.6 hours.

Explanation:

Time taken for English home work = 1.15 hours.

Time taken for Mathematics home work = 1.75 hours.

 Time taken for Science home work = Time taken for Mathematics home work - 1.05 hours = 1.75 - 1.05 = 0.7 hours

 Total time taken for doing home work = 1.15 + 1.75 + 0.7 = 3.6 hours.

So the answer is not 4 hours, it is 3.6 hours, that is why it is showing it as wrong.

Answer : C

[tex]f(x)= \sqrt{x}[/tex]

[tex]g(x)= \sqrt{x-5}[/tex]

Parent function is f(x). In g(x) 5 is subtracted from x

If any number is added or subtracted from x, then we move left or right

When a number 'a' is added with x  then we shift 'a' units to the left

When a number 'a' is subtracted from x  then we shift 'a' units to the right

f(x) is our parent function. Here 5 is subtracted from x to get g(x)

For -5, the graph of g(x) is the graph of f(x) shifted right 5 units

the first answer would be C

the next 3 questions are ACB

Answer:

  (3±√147, 0) ≈ (-9.124, 0) and (15.124, 0)

Step-by-step explanation:

The points (x, 0) satisfy the distance formula:

  d = 14 = √((x -3)² +(0+7)²)

  196 = (x -3)² +49 . . . . . square both sides

  147 = (x -3)² . . . . . . . . . subtract 49

  3 ±√147 = x . . . . . . . . . take the square root and add 3

The points at distance 14 from (3, -7) on the x-axis are (3±√147, 0).

That would be FALSE

They have the same angles, so they're similar triangles.  For them to be congruent, the corresponding sides must have equal length.  Here we have two sides of length 7, but they're not corresponding sides.  If on the second triangle the 7 was the length of the side between the 60 and 62 degree vertices then we'd have equal corresponding sides and congruent triangles.

Answer: no

Step-by-step explanation: this answer would be FALSEEE

The answer is A=D apex

Answer:

It's the first one, I just literally got done taking the test it was my last question anyways.

Let's assume

Let's assume that fraction as 'x'

and whole number as 'n'

Olivia divided a fraction by 3/4

so, we get

[tex]\frac{x}{\frac{3}{4} }[/tex]

The quotient was a whole number

so, we get

[tex]\frac{x}{\frac{3}{4} }=n[/tex]

now, we can solve for x

[tex]\frac{3}{4}\times \frac{x}{\frac{3}{4} }=\frac{3}{4}\times n[/tex]

[tex]x=\frac{3n}{4}[/tex]

where n is whole numbers

At n=0:

[tex]x=\frac{3*0}{4}[/tex]

[tex]x=0[/tex]

here , x is not fraction

so, n=0 is not possible

At n=1:

[tex]x=\frac{3*1}{4}[/tex]

[tex]x=\frac{3}{4}[/tex]

At n=2:

[tex]x=\frac{3*2}{4}[/tex]

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

we know that x is dividend

and x can be equal to 3/4

and greater than 3/4

But it can not be less than 3/4..............Answer

Answer:

Let's assume

Let's assume that fraction as 'x'

and whole number as 'n'

Olivia divided a fraction by 3/4

so, we get

The quotient was a whole number

so, we get

now, we can solve for x

where n is whole numbers

At n=0:

here , x is not fraction

so, n=0 is not possible

At n=1:

At n=2:

we know that x is dividend

and x can be equal to 3/4

and greater than 3/4

But it can not be less than 3/4..............Answer

Step-by-step explanation:

Answer:

a) The slope is : 3.333

b) [tex](y-92)=3.333(x-4)[/tex]

c) [tex]y=3.333x+78.66[/tex]

Step-by-step explanation:

a) - The formula to calculate the slope is:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

- Use the given points to calculate the slope:

[tex]y_{2}=82\\y_{1}=92\\x_{2}=1\\x_{1}=4[/tex]

[tex]m=\frac{82-92}{1-4}\\m=\frac{10}{3}\\m=3.333[/tex]

b) - The equation of the linear model in point-slope form is:

[tex](y-y_{1})=m(x-x_{1})[/tex]

Where [tex]m[/tex] is the slope and [tex]x_{1},y_{1}[/tex] are the coordinates of a point.

- Substitute values:

[tex](y-92)=3.333(x-4)[/tex]

c) - The equation of the linear model in slope-intercept form is:

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

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

- Let's find [tex]b[/tex]. Use one of the points given in the problem to solve for [tex]b[/tex]:

[tex]92=3.333(4)+b\\b=92-13.332\\b=78.66[/tex]

- Therefore, the equation is:

[tex]y=3.333x+78.66[/tex]

That would be choice C.

The graph of  4|x| is shaped like a V whose vertex is at the origin.

Every y value will be positive for y = 4|x|  as |x| is always positive  and a reflection in the x axis will make every y value negative.

Through moving up c units, the graphs of g can be determined from the graph of f. If we subtract c from f(x), the graph shifts downward. Let [tex]\bold{ h(x) = f(x) - c}[/tex]. Shifting downward c units yields this graph of h from the graph of f.

Given:

[tex]\bold{f(x)=4|x|}[/tex]

Calculation:

           [tex]\bold{g(x)=-(4|x|)}\\\\\bold{g(x)=-4|x|}\\\\[/tex]

So, the equation [tex]g(x)=-4|x|[/tex] describes [tex]g(x)[/tex].

Therefore, the final choice is "Option C".

Learn more:

brainly.com/question/6280870