6
Paul’s family is driving home from a trip. They plan to drive part of the distance each day for
3
3 days. Which choices show the amounts they could drive each day to complete the trip home? Select the two correct answers.
A
Day 1: 14
4
1
​
of the total distance home; Day 2: 38
8
3
​
of the total distance home; ​Day 3: 38
8
3
​
of the total distance home
B
Day 1: 12
2
1
​
of the total distance home; Day 2: 13
3
1
​
of the total distance home; Day 3: 24
4
2
​
of the total distance home
C
Day 1: 13
3
1
​
of the total distance home; Day 2: 12
2
1
​
of the total distance home; Day 3: 16
6
1
​
of the total distance home
D
Day 1: 25
5
2
​
of the total distance home; Day 2: 12
2
1
​
of the total distance home; ​Day 3: 25
5
2
​
of the total distance home

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

[tex]f(x)=ax^3+bx^2+cx+d[/tex]

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

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

Equate y to 0

[tex]x^3 - x = 0[/tex]

Expand

[tex]x(x^2 - 1) = 0[/tex]

Express [tex]x^2 - 1[/tex] as difference of two squares

[tex]x(x - 1)(x +1 ) = 0[/tex]

x = 0 or 1 or -1

For 2 x intercepts

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

[tex]y =(x-5)^2)(x+7)[/tex]

Equate y to 0

[tex](x-5)^2(x+7) = 0[/tex]

Expand

[tex](x-5)(x-5)(x+7) = 0[/tex]

x= 5 or x = -7

For 1 x intercept

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

Equate y to 0

[tex]x^3 = 0[/tex]

Take cube roots of both sides

[tex]x = 0[/tex]

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

[tex]y = x^2 + x + 17[/tex]

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

[tex]y = x^2- 6x + 9[/tex]

Equate y to 0

[tex]x^2- 6x + 9 = 0[/tex]

Expand

[tex]x^2 - 3x - 3x + 9 = 0[/tex]

[tex](x - 3)(x-3) = 0[/tex]

[tex]x = 3[/tex]

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

Answer:

I think B 10 diamond and 12 circles

Step-by-step explanation:

Answer:

Image below. :)

Explanation:

Answer: D

Step-by-step explanation:

Because if you count from the tup to bottom their is 4 and if you count from top to right its 5 so its... 5 x 4.

IM NOT GOOD AT EXPLAINING ... CAN SOMEONE HELP ME EXPLAIN ?...

Answe my  uuuuuuttt

Step-by-step explanation:

Answer:

$54

Step-by-step explanation:

45 increase 20% =

45 × (1 + 20%) = 45 × (1 + 0.2) = 54

Answer:

a) No Solution

Step-by-step explanation:

36 - 7p = -7(p - 5)

36 - 7p = -7p + 35

1 - 7p = -7p

1 = 0p

so a) No Solution

Answer:

[tex]36 - 7p = - 7(p - 5) \\ 36 - 7p = - 7p - 7 \times - 5 \\36 - 7p = - 7p + 35 \\ p \: terms \: togather \\ - 7p + 7p = 35 - 36 \\ 0p = - 1 \\ here \: we \: \: have \: 0p \\ so \: no \: solution \\ option(a) \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan? (PLSSS HELP)

Given data

P=$1125

R=10%= 0.1

I= $25

We know that

I=PRT

Answer:

origin

Step-by-step explanation:

A directly proportional linear relationship will always go through the origin (0,0).

Answer:

it goes throught the origin.

Step-by-step explanation:

A non-proportional graph is a straight line that does not go through the origin.

Answer:

I think its c but im not sure

Answer:

He would need to get a minimum of 28 questions correct.

Step-by-step explanation:

92% of 30 is 27.6 but you cant really get .6 of a question right, so you would need to round. Which makes it 28.

Answer: 19.20937

Step-by-step explanation:

a2=15

b2=12

c2=?

a2+b2=c2

15(15)+12(12)= c2

225+ 144=c2

√369= √c2

≐19.20937 ft

3√41

Answer:

Step-by-step explanation:

h^2=x^2+y^2 which just means the the hypotenuse of a right triangle squared is equal to the sum of its squared sides.

[tex]h^2=10^2+15^2\\ \\ h^2=100+225\\ \\ h^2=325\\ \\ h=\sqrt{325}\\ \\h=5\sqrt{13}\\ \\ h\approx 18.03[/tex]

h=

Step-by-step explanation:

To estimate percentage I would round up the numbers to the nearest neat number? like 10 or 15 for example and then find the percentage of that number.

Answer:

8-3n

The way you know is 8 is the hidden word....

in there and it say 3 times   nathans...

So you will take n and times it bye 3..

by doing 3n so 8-3n is your anwser...

Answer:

Step-by-step explanation:

It’s Roman if you do the math you will get 4.94

How would you know

When doing the math i got the answer 4.94 which that mean ranjan divide wrong

Answer:

the answer is 0.89

Step-by-step:

the first boxes under 62 will be 56

the second box under 56 will be 63

the 3rd boxes will be will be 63

the very top boxes will be 0.89

Answer:0.05+1.645v0.05(0.95)/500

Step-by-step explanation:

Answer:

5 yards

Step-by-step explanation:

1 yard = 36 inches

yard to inches = multiply by 36

inches to yard = divide by 36

180/36 = 5 yards

Answer:

15 I think

Step-by-step explanation:

Pls dont quote that tho sry

Step-by-step explanation:

[tex] \tt{30.16 = 17.56 + 5x} [/tex]

Swap the sides of the equation :

⤑ [tex] \tt{17.56 + 5x = 30.16}[/tex]

We want to remove the 17.56 first.

Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :

⤑ [tex] \tt{5x + 17.56 - 17.56 = 30.16 - 17.56}[/tex]

Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.

⤑ [tex] \tt{5x = 12.6}[/tex]

Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.

⤑ [tex] \tt{ \frac{5x}{5} = \frac{12.6}{5}} [/tex]

Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.

[tex] \pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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7.

Since it is a right triangle we can use Pythagorean Theorem to solve.

A^2+B^2=C^2

We are given C and B. We are solving for A, so we can input what we know.

A^2+24^2=25^2

A^2+576=625

A^2=49

A=7

Therefore, the missing side is equal to 7.

Answer:

7 Liiters

Step-by-step explanation:

Answer:

grpuirpfs better luck next time

Step-by-step explanation:

Answer:

M=10d+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

6=2(y+2)

6=2y+4

2=2y

y=1

Answer:

1

Step-by-step explanation:

1+2=3

2(3)= 2x3=6

There ya go

Answer:

positive 1/2

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

3-2/0-2= 0.5