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Kamila [148]
3 years ago
10

PLS HELP WILL GIVE BRAINLIEST AND 5 STARS

Mathematics
2 answers:
djyliett [7]3 years ago
5 0
The rate of change is -9
My name is Ann [436]3 years ago
4 0

Answer:

-9

Step-by-step explanation:

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Nate and Maya are building model cars. Maya's car is 3 inches less than 2 times the length of Nate's car. The sum of the lengths
Leni [432]

Answer:

Option D.) x + 2x − 3 = 26

Step-by-step explanation:

Let

x ------> the length of Nate's car

y ------> the length of Maya's car

we know that

x+y=26 -----> equation A

y=2x-3 ----> equation B

substitute equation B in equation A and solve for x

x+(2x-3)=26

3x=26+3

x=29/3 in

Find the value of y

y=2(29/3)-3

y=(58/3)-3

y= 49/3 in

4 0
3 years ago
Read 2 more answers
How do you tell if a number is irrational or rational?
Korvikt [17]
A rational number is any number that can be expressed as a fraction
(ex: -5/2, 4 1/7, and 8/13)

An irrational number is any number that cannot be expressed as a fraction; a non-repeating, non-terminating decimal (ex: pi, 0.121231234...)

Hope this helps! :)
6 0
3 years ago
Given the function f(x) = x^4 + 3x^3 - 2x^2 - 6x - 1, use intermediate theorem to decide which of the following intervals contai
marta [7]

f(x) = x^4 + 3x^3 - 2x^2 - 6x - 1

Lets check with every option

(a) [-4,-3]

We plug in -4  for x  and -3 for x

f(-4) = (-4)^4 + 3(-4)^3 - 2(-4)^2 - 6(-4) - 1= 55

f(-3) = (-3)^4 + 3(-3)^3 - 2(-3)^2 - 6(-3) - 1= -1

f(-4) is positive and f(-3) is negative. there is some value at x=c on the interval [-4,-3] where f(c)=0. so there exists atleast one zero on this interval.

(b) [-3,-2]

We plug in -3  for x  and -2 for x

f(-3) = (-3)^4 + 3(-3)^3 - 2(-3)^2 - 6(-3) - 1= -1

f(-2) = (-2)^4 + 3(-2)^3 - 2(-2)^2 - 6(-2) - 1= -5

f(-2) is negative and f(-3) is negative. there is no value at x=c on the interval [-3,-2] where f(c)=0.  

(c) [-2,-1]

We plug in -2  for x  and -1 for x

f(-2) = (-2)^4 + 3(-2)^3 - 2(-2)^2 - 6(-2) - 1= -5

f(-1) = (-1)^4 + 3(-1)^3 - 2(-1)^2 - 6(-1) - 1= 1

f(-2) is negative and f(-1) is positive. there is some value at x=c on the interval [-2,-1] where f(c)=0. so there exists atleast one zero on this interval.

(d) [-1,0]

We plug in -1  for x  and 0 for x

f(-1) = (-1)^4 + 3(-1)^3 - 2(-1)^2 - 6(-1) - 1= 1

f(0) = (0)^4 + 3(0)^3 - 2(0)^2 - 6(0) - 1= -1

f(-1) is positive and f(0) is negative. there is some value at x=c on the interval [-1,0] where f(c)=0. so there exists atleast one zero on this interval.

(e) [0,1]

We plug in 0  for x  and 1 for x

f(0) = (0)^4 + 3(0)^3 - 2(0)^2 - 6(0) - 1= -1

f(1) = (1)^4 + 3(1)^3 - 2(1)^2 - 6(1) - 1= -5

f(0) is negative and f(1) is negative. there is no value at x=c on the interval [0,1] where f(c)=0.  

(f) [1,2]

We plug in 1  for x  and 2 for x

f(1) = (1)^4 + 3(1)^3 - 2(1)^2 - 6(1) - 1= -5

f(2) = (2)^4 + 3(2)^3 - 2(2)^2 - 6(2) - 1= 19

f(-4) is positive and f(-3) is negative. there is some value at x=c on the interval [-4,-3] where f(c)=0. so there exists atleast one zero on this interval.

so answers are (a) [-4,-3], (c) [-2,-1],  (d) [-1,0], (f) [1,2]

8 0
3 years ago
Read 2 more answers
Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.
Vadim26 [7]

The equation y=2x+2 is a function

Explanation:

Given that the graph contains the coordinates (-1,0), (0,2) , (1,4) and (2,6)

We need to determine whether the equation y=2x+2 is a function.

To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.

Let us substitute the coordinate (-1,0) in the equation y=2x+2

Thus, we have,

0=2(-1)+2

0=-2+2

0=0

Thus, the coordinate (-1,0) satisfies the equation y=2x+2

Substituting the coordinate (0,2) in the equation, we have,

2=2(0)+2

2=2

Thus, the coordinate (0,2) satisfies the equation y=2x+2

Substituting the coordinate (1,4) in the equation y=2x+2

4=2(1)+2

4=4

Thus, the coordinate (1,4) satisfies the equation y=2x+2

Substituting the coordinate (2,6) in the equation, we get,

6=2(2)+2

6=6

Thus, the coordinate (2,6) satisfies the equation y=2x+2

Hence, the coordinates (-1,0), (0,2) , (1,4) and (2,6) satisfies the equation y=2x+2

Thus, the equation y=2x+2 is a function.

6 0
3 years ago
Malia and her sister watched an action movie that was 2 hours and 5 minutes long. After
Black_prince [1.1K]

Answer: they started at 1:10 pm

7 0
3 years ago
Read 2 more answers
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