4 If 2 is a zero of
polynomial f(x) = ax² - 3(a-1)x-1,
then find the value of a.

Answer:

triangle inequality theorem

Step-by-step explanation:

the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the third side

Answer: y = 7/4

Step-by-Step Explanation:

=> 4 = 7/y

= 7/y = 4

=> y = 7/4

Therefore, y = 7/4

Step-by-step explanation:

4=7/y

cross multiplying

4×y=7

dividing bothsides by 5

4y/4=7/4

y =7/4

Answer:

(6,-1)

Step-by-step explanation:

(2, 1) is the first point,

(6, 1) is the point after it is reflected over x = 4,

(6, -1) is the point after it is reflected over the x-axis.

Answer:

{5, -3} {0, -1/3}

Step-by-step explanation:

For the first problem, they all have a GCF of 2, so you divide it all by 2 to get x^2-2x-15=0. Now, we need two factors of -15 that equal -2. Those are -5 and 3. Our new equation is x^2-5x+3x-15. To factor, the GCF of x^2 and 5x is x, so divide by x and you get x(x-5). The GCF of 3x and 15 is 3, so divide by 3 and you get 3(x-5). Now, put the numbers outside of the parenthesis into their own, and you get (x+3)(x-5). To get to 0, for the first one x has to be -3, and for the second, x has to be 5.

For the second, 12x^2 and 4x have a GCF of 4x. Since this we don't have a c value, we just divide and factor like this: 4x(3x+1). Since 4x is outside the parenthesis but we don't have any other terms outside, x=0 because 4(0) is 0. To cancel out 1, our x value inside has to be -1/3, because -1/3*3=-1.

Hope this helped!

Answer:

C. 31 units

Step-by-step explanation:

Circumference of a circle is the distance around the circle and is given by C = pi•d

Your circle with a point and center given has a radius of 5 because from (2,1) to (7,1) is 5 units. Radius 5 means the diameter is 10.

C = pi•10

= 3.14•10

= 31.4 using 3.14 as an approximation for pi.

Circumference is approximately 31 units.

Answer:

x=120

y=180

Step-by-step explanation:

x=300-y

12x+15y=4140

12(300-y)+15=4140

y=180

substitute

x=300-180

x=120

Answer: 750/500,000

Step-by-step explanation:

you get this because:

the company is giving out 750 hats and there are 500,000 people so you divided those numbers

Answer:

x= 7 y=6

Step-by-step explanation:

Two at once

So

Sample space for coin

Sample space for cube

Combine sample space

Option A

The correct answer is "Secured Loan." Hope this helps! <3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Refer to the attachment ~

Length and width of the rectangle measure :

[tex]\qquad \sf  \dashrightarrow \:5 - ( - 4) = 9 \: units[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:0 - ( - 5) = 5 \: units[/tex]

Let's find the Perimeter ~

[tex]\qquad \sf  \dashrightarrow \:2(9 + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(14)[/tex]

[tex]\qquad \sf  \dashrightarrow \:28 \: units[/tex]

Now, find the Area of rectangle :

[tex]\qquad \sf  \dashrightarrow \:9 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:45 \:unit {}^{2} [/tex]

Answer:

Step-by-step explanation:

Finding Perimeter

Finding Area

Answer:

what?

Step-by-step explanation:

By using changes of units, we will see that the correct option is d.

We know that the yellow onion weighs 0.59 lb

The red onion weighs 208.65 grams.

The thing we need to do, is write the first mass in grams, then we use:

1 lb = 453.59g

Then we can rewrite:

0.59 lb =  0.59* 453.59g = 267.62g

Then we can see that the red onion is heavier.

The difference in mass is:

m = 267.62g - 208.65g = 58.97g

Now we want to rewrite this in ounces, remember that:

1g = 0.035oz

Then:

58.97g = 58.97*0.035oz = 2.064 oz

Then the correct option must be d.

If you want to learn more about change of units:

https://brainly.com/question/9032119

#SPJ4

Answer:

Step-by-step explanation:

divide £36 in the ratio 5:1

36 : (5 + 1) =

36 : 6 =

6 (unit)

6 * 5 = 30

6 * 1 = 6

30 : 6

Based on the information given, the area that will be left uncovered will be 450ft².

= 30 × 30 = 900ft²

The area viewed by the camera = 112.5ft²

Therefore, the number of cameras needed will be:

= 900/112.5 = 8

When he places the cameras in the corners of the store, he area covered will be:

= 4 × 112.5 = 450ft²

Therefore, the area left uncovered will be:

= 900 - 450

= 450 ft²

Learn more about areas on:

https://brainly.com/question/3948796

The feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.

Subtraction is the resultant number which is obtained by reducing a number with another. Let a number a is subtracted with the another number b. Then the subtraction of these two number will be,

[tex]D=a- b[/tex]

Here, (a, b) are the real numbers.

Rosa has 15 yards of ribbon. She uses 8 feet of ribbon to tie gift bags. Let suppose she has left n feet of ribbon. Thus,

[tex]n=15-8\\n=7[/tex]

Thus, the feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.

Learn more about the subtraction here;

https://brainly.com/question/17301989

#SPJ1

Answer: Rosa has 5 feet left of her ribbon

Step-by-step explanation:

Answer:

(Second Option) = g of x equals the quantity x squared minus 5x plus 7 end quantity divided by the quantity x minus 3 end quantity

Step-by-step explanation:

A rational function contains a polynomial in both the numerator and the denominator. This answer fits that requirement.

Answer:

Step-by-step explanation:

Theortical probability

A = 1/4

B = 1/3

C = 5/12

Experamental probability

A = 18/60 = 3/10

B = 20/60 = 1/3

C =  22/60 = 11/30

Answer: imagine your teacher figuered out

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{distance} =\sqrt{\left( 11--13\right)^{2} +\left( 2-9\right)^{2} }[/tex]

             [tex]=\sqrt{\left( 24\right)^{2} +\left( -7\right)^{2} }[/tex]

             [tex]=\sqrt{576 +49 }[/tex]

             [tex]=\sqrt{625 }[/tex]

             [tex]=25[/tex]

Answer:

25

Step-by-step explanation:

Answer:

A, If n is an odd number, then n + 1 is an even number

Step-by-step explanation:

Any number that is odd, when taken up by the integer 1, will become an even number.

Answer:

9 cups

Step-by-step explanation:

Because 1 cup is 8 ounces, and we need to find how many cups we need to have 72 ounces.

You have to divide 72/8 and the answer will be 9

[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}}[/tex]

    7=a-5. What does a equal?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

When solving an equation, it's always a great idea to make sure all variables are on the left side of the equation and the numbers are on the right.

Since in our equation, we have numbers on both sides, we need to move all numbers to one side:-

7=a-5

This is the same as

a-5=7

Now, add 5 on both sides:-

a=12

So we conclude that a=12.

[tex]\rule{300}{1}[/tex]

Answer:

Step-by-step explanation:

A.27 (aka 3x3x3)

B.7x7x7x7

C4x4x4x4x4x4x4

D.5x5x5x5x5x5

E.9x9x9

F.8x8

G.12x12x12

H.1x1x1x1x1x1x1x1x1x1x1x1

I.8x8x8x8

J.6x6x6x6x6

K.12x12x12

L.18x18x18

Answer:

-3.75

-0.55

-0.5

-0.3

-0.2

Step-by-step explanation:

-3% = -0.3

-1/2 = -0.5

-1/5 = -0.2

-3.75

-0.55

113.04 ft2

Step-by-step explanation:

r=d/2=12/2=6

A= pi*r*r=3.14*6*6

A=113.04

Answer:

113.04

Step-by-step explanation:

r = 12÷2

r=6

A=3.14×6^2

A=113.04