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Ede4ka [16]
3 years ago
15

Which equation could have been used to create this function table?

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0
A) y=3x
You can plug in the given values (inputs) of x to see if it creates the number in y (output). 
3*1=3 
3*2=6
3*3=9
3*4=12
3*5=15
3*6=18

All these values are true, therefore the equation y=3x is the correct answer.

:)
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What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​
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Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

8 0
3 years ago
A mathematical sentence which contains an inequality symbol and one variable raised to the first power is called a ____ inequali
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The answer to fill in the blank should be ''Linear''.
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3 years ago
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A. Shape 1 and shape 2 are not
denpristay [2]

Answer:

i think its D.  

A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Step-by-step explanation:


5 0
3 years ago
Susannah has a high-yield savings account into which she deposits $140 each month. At the beginning of the year, Susannah's acco
motikmotik

Answer:

Her account balance will be $2,080 at the end of the year

Step-by-step explanation:

Let

y ----> Susannah's account balance

x ---> is the  amount of time in months

we have

y=140x+400

This is a linear equation in slope intercept form

where

The slope or unit rate is equal to

m=\$140\ per\ month

The y-intercept or initial value is equal to

b=\$400

Remember that

One year is equal to 12 months

so

For x=12 months

substitute in the linear equation

y=140(12)+400=\$2,080

5 0
3 years ago
A marathon is 26.2 miles. What is the least number of times Miguel must run for his total distance run during training to exceed
ziro4ka [17]

Missing part of the question

Miguel has started training for a race. The first time he trains, he runs 0.5 mile. Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time.

What is the arithmetic series that represents the total distance Miguel has run after he has trained n times?

Answer:

The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles

Step-by-step explanation:.

Given parameters

Miguel first run = 0.5 mile

Subsequent run = 0.2 mile

This question is an arithmetic progression.

We'll make use of arithmetic progression formula to solve this

Formula:.

Tn = a + (n - 1)d

Where a = first term

n = number of terms

d = common difference

In this case

a = first run = 0.5 mile

d = subsequent run = 0.2 mile

So, Tn = a + (n - 1)d become

Tn = 0.5 + (n - 1) 0.2

Tn = 0.5 + 0.2n - 0.2

Tn = 0.5 - 0.2 + 0.2n

Tn = 0.3 + 0.2n

The arithmetic series of an arithmetic progression is calculated using

Sn = ½(a + Tn) * n

By substituton, we have

Sn = ½(0.5 + 0.3 + 0.2n) * n

Sn = ½(0.8 + 0.2n) * n

Sn = 0.4n + 0.1n²

b.

Since the race is 26.2 miles then the least number of times is given as

Sn ≥ 26

0.4n + 0.1n² ≥ 26.2

0.1n² + 0.4n - 26.2 ≥ 0

Using quadratic formula

n = (-b ± √(b² - 4ac))/2a

Where b = 0.4 a = 0.1 and C = -26.2

So,

n = -0.4 ± √(0.4² - 4 * 0.1 * ,26.2)/2 * 0.1

n = (-0.4 ± √10.64)/0.2

n = (0.4 ± 3.26)/0.2

n = (0.4 + 3.26)/0.2 or (0.4 - 3.26)/0.2

n = 3.46/0.2 or -2.86/0.2

n = 17.3 or -14.3

Since n can't be negative

n = 17.3 miles

The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles

7 0
3 years ago
Read 2 more answers
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