x<= -2 on a number line

Answer:

Step-by-step explanation:

a.  the question can be factored as (x-5)(x-1) so the 2 x intercepts are 5 and 1

b. yes the function has a line of symmetry every parabola does and it is at  when x is 3

x. the function has a minimum value because the equation has x^2  which is 1x^2 1 is a positive meaning that the function opens upward which means it has a minimum value

Answer:

A)

(1, 0) and (5, 0)

B)

Yes.

The equation is x = 3.

C)

Yes.

In this case, we have a minimum.

Step-by-step explanation:

We are given the function:

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

Since the highest degree is two, we can immediately determine this to be a quadratic.

A)

The x-intercepts of a function are whenever the function equates to 0. Hence:

[tex]0=x^2-6x+5[/tex]

We can factor:

[tex](x-1)(x-5)=0[/tex]

Zero Product Property:

[tex]x-1=0\text{ or } x-5=0[/tex]

Solving yields:

[tex]x=1 \text{ and } x=5[/tex]

So, our x-intercepts are at (1, 0) and (5, 0).

B)

Since this is a quadratic, it indeed has a line of symmetry.

Recall that the line of symmetry for a quadratic equivalent to the x-coordinate of the vertex.

In the given function, a = 1, b = -6, and c= 5.

Hence, the x-coordinate of the vertex is:

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(-6)}{2(1)}=\frac{6}{2}=3[/tex]

So, the line of symmetry is x = 3.

C)

Every parabola has a minimum/maximum value.

This depends on the sign of the leading coefficient.

If the leading coefficient is positive, then we have a minimum since our parabola will be curving upwards.

And if the leading coefficient is negative, then we have a maximum since our parabola will be curving downwards.

Since our leading coefficient here is 1, hence positive, we have a minimum value.

Answer:

Sinead

Step-by-step explanation:

Sinead drove 20 miles for 30 minutes, it means that they were the slowest since wherever they were going they got there last.

hope this helps!!!

Given :

Suzie needs to borrow $6,000 from a local bank.

Interest rate, r = 11.25%.

To Find :

The monthly payment of Suzie for one year to pay of the loan.

Solution :

Total amount to return is :

[tex]A = 6000 + \dfrac{6000\times 11.25}{100}\\\\A =\$6675[/tex]

Let, monthly payment is x.

So,

[tex]x =\$ \dfrac{6675}{12}\\\\x = \$556.25[/tex]

Therefore, the monthly payment for loan is $556.25 .

Answer:

0-(x-y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

 simplify 0-(x-y).

0-(x-y)

=-(x-y)

=-x+y

You have to treat the negative sign in front of (x-y) as a -1 and distribute it to x and -y.

Answer:

16

Step-by-step explanation:

Answer:

The answer to the question provided is 45.

Step-by-step explanation:

You add by ten.

The amount of time I seen this question-

Answer:

bottom left

Step-by-step explanation:

Answer:

52 yards

Step-by-step explanation:

Perimeter is all sides added together.

13 + 14 + 7 + 18 = 52

Answer:

x=139°

Step-by-step explanation:

7 sides

180(7-2)=900°

900-(118+129+129+109+137)=278

278/2=139°

Answer:

56 dollars

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Use the app Socratic, it gives you the answer and an explanation

9514 1404 393

Answer:

  3) ? = 21

  4) ? = 6

Step-by-step explanation:

3) The given ratio is ...

  A : B = 2 : 7

You want to find ? such that ...

  2 : 7 = 6 : ?

The ratio is equivalent when both numbers are multiplied by the same value.

From your knowledge of multiplication tables, you know that 2×3 = 6. then 7×3 = ? = 21.

__

4) For this one, you need to recognize that the given number corresponds to B.

  A : B = 2 : 3

  2 : 3 = ? : 9

Again, you know that 3×3 = 9, so 3×2 = ? = 6.

Answer:

25 maybe

Step-by-step explanation:

Answer:

-13c + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

5 - 4c - 2 - 9c

Step 2: Simplify

Answer:

-13c + 3

Step-by-step explanation:

Answer:

16 and 3

Step-by-step explanation:

A prime number has only 2 factors, 1 and itself

2, 5 and 7 meet this criteria and are prime, however

factors of 16 are 1, 2, 4, 8, 16

16 does not meet the criteria and is not prime

--------------------------------------------------------

The factors of 18 are 1, 2, 3, 6, 9, 18

The only one of these factors which is prime is 3

Answer:

the present age of the old ship is 8 years

The present age of the new ship is 4 years

Step-by-step explanation:

Let the age of the older ship be x

Let the age of newer ship be y

If the sum of ages of two ship 12years old, then;

x + y = 12 .... 1

Two years ago;

Older ship age = x - 2

New ship age = y - 2

If two years ago, the age of the older ship was three times the age of the newer ship, then;

x - 2 = 3(y-2)

x-2 = 3y - 6

x = 3y - 4 ....2

Substitute equation 2 into 1;

From 1; x+ y = 12

3y-4+y = 12

4y = 12 + 4

4y = 16

y = 4

Since x+y = 12

x = 12-y

x= 12-4

x = 8

Hence the present age of the old ship is 8 years

The present age of the new ship is 4 years

Answer:

Lemme

Step-by-step explanation:

3 1/2+4 3/4=8 1/4

8 1/4-5 3/8= 3 7/8

Answer:

The slope is zero

Step-by-step explanation:

If the second number is the same (In this case it is) it is Impossible for there to be a slope so.. Slope = 0

Answer:

0

Step-by-step explanations:

y₂-y₁/x₂-x₁

[tex]\frac{5-5}{17-12} =\frac{5}{0} =0[/tex]

Answer:

The answer is the first option (0,7), (-1,6), (2,0)

I hope this helps you

Answer:

%375.15

Step-by-step explanation:

Hope this helps u out

Answer:

The final price of the smartphone is $375.15

Step-by-step explanation:

Percentages

The original price of a smartphone at an electronics store is $679. The store is on sale for 35% off that price.

Thus the sale price can be calculated by subtracting the discount from the original price.

Discount= 35% of $679 = 35/100 * $679 = $237.65

Sale price=$679 - $237.65 = $441.35

If you use the store credit card, there is an additional discount of 15% off the sale price. The new discount is:

New discount = 15% of $441.35 = $66.20

And the final price is: $441.35 - $66.20 = $375.15

The final price of the smartphone is $375.15

Answer:

nth term is;

0.5n-0.5

Step-by-step explanation:

As we can see, the first term is 0

The common difference is 0.5-0= 1-0.5 = 1.5-1 = 0.5

Formula for nth term of an arithmetic sequence is;

a + (n-1)d

So we have

0 + (n-1) 0.5

= 0.5n-0.5

Answer:

30 cubic yards

Step-by-step explanation:

You will multiply 13 by two because there is two sides of 13ft

13 x 2 = 26

Then do the same thing with 31, so 31 multiply by 2

31 x 2 = 62

After that add 62 and 26

62+26=88

Then divide 88 by 3

88÷3=29.9

after that you will round 29.9 by the nearest 10 which is 30

Answer:

50,400

Step-by-step explanation:

Answer:

840 × 60 = 50,400

_______________

Answer:

he didn't make 75% of the baskets he shot