Use scientific notation to express your answer. (5x10^8)(4x10^3)

Given:

A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

To find:

The polynomial function in factored form.

Solution:

If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.

If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.

It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.

It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.

Now, the required polynomial is:

[tex]P(x)=(x+2)(x-4)^2[/tex]

Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].

Answer:

The answer is 7.2.

Step-by-step explanation:

Have a great day.

Answer:

d = 7.2

Step-by-step explanation:

all you have to do is multiply 1.2 by 6 to get your answer

[tex]1.2 \times 6 = 7.2[/tex]

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

Answer:

5+6f>8f-7

5+7>8f-6f

12>2f

6>f

f<6

Step-by-step explanation:

Answer:

18 novels

Step-by-step explanation:

X= number of novels, 12.25 is a fixed fee.

9.50x+12.25=183.25

9.50x=171

x=18 novels

Answer:

n=1/2

Step-by-step explanation:

Answer:

Amount of water in bottle = 3/8 liter

Step-by-step explanation:

Given:

Total capacity of bottle = 3/4 liter

Amount of water in bottle = 1/2 of total capacity

Find:

Amount of water in bottle

Computation:

Amount of water in bottle = [Total capacity of bottle[1/2 of total capacity]

Amount of water in bottle = [3/4][1/2]

Amount of water in bottle = 3/ [(4)(2)]

Amount of water in bottle = 3/8 liter

65% off means the sale price would be 35% of the original price ( 100% - 65% = 35%)

To find the sale price multiply the original price by 35%

31 x 0.35 = 10.85

The sale price is $10.85

[tex]82x - 33[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

5

Step-by-step explanation:

Both angles together will equal as they are opposite of each other

therefore

15x=16x-5

15x+5=16x

5=x

Answer:

x = 5

Step-by-step explanation:

The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:

15x = 16x - 5

Now that we have an equation, we can solve for x.

First, we subtract 15x from both sides. Now we're left with an equation that should look like this:

0 = x - 5

Now we add 5 to both sides to get our solution. It should look like this.

5 = x

And there's your answer! Hope this helps.

Answer:

8.7

Step-by-step explanation:

Why not? Well the 6x-3x portion simplifies to 3x. So the x terms are equivalent; however, the 4 and 8 in the first expression combine to 12, which is not equivalent to that 4 in the other expression.

In other words, 6x+4-3x+8 should simplify to 3x+12 and not 3x+4.

Answer:

44

Step-by-step explanation:

Angles that form a straight line add up to equal 180 degrees

Hence, e + 8 + 3e - 4 = 180

                      ^ ( note that we just created an equation that we can use to

                          solve for e )

Using the equation created, we then solve for e

e + 8 + 3e - 4 = 180

step 1 combine like terms

3e + e = 4e

8 - 4 = 4

we now have 180 = 4e + 4

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 176 = 4e

step 3 divide each side by 4

176 / 4 = 44

4e / 4 = e

we're left with e = 44

Answer:

3x - 6

Step-by-step explanation:

Using the keywords "a number" and "few than" and "times" we can identify the expression.

Answer:

Let the number be x

Basically, 3 times a number is 3x and 6 fewer than 3 times a number is 3x-6 (that is, 6 is less than 3x)

Hence the required expression is 3x-6.

hope it helps :)

Answer:

is it 7?

Step-by-step explanation:

Answer:

4)56yards²

5)336 yards²

6)375yards²

Step-by-step explanation:

from the graph we acquire that

remember that,

[tex] \displaystyle A _{ \text{rect}} = l \times w[/tex]

thus substitute:

[tex] \displaystyle A _{ \text{rect}} = 4 \times 3.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 14\: [/tex]

14 means that the rectangle has 14 squares

so,

[tex] \displaystyle 1 \: \text{square} \implies 4 \: { \text{yards}}^{2} \\ 14 \: \text{square} \implies 14 \times 4 \: { \text{yards}}^{2} \\ \qquad = 56 \: { \text{yards}}^{2} [/tex]

likewise

from the graph we acquire that

likewise

[tex] \displaystyle A _{ \text{rect}} = 6 \times 3.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 21[/tex]

so,

[tex] \displaystyle 1 \: \text{square} \implies 16 \: { \text{yards}}^{2} \\ 21 \: \text{square} \implies 16 \times 21 \: { \text{yards}}^{2} \\ \qquad = 336\: { \text{yards}}^{2} [/tex]

likewise

[tex] \displaystyle A _{ \text{rect}} = 6 \times 2.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 15[/tex]

so,

[tex] \displaystyle 1 \: \text{square} \implies 25 \: { \text{yards}}^{2} \\ 15 \: \text{square} \implies 15 \times 25 \: { \text{yards}}^{2} \\ \qquad = 375\: { \text{yards}}^{2} [/tex]

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

C'D' = 6 and CD = 3 then

scale factor = [tex]\frac{6}{3}[/tex] = 2

Answer:

it is in the picture above

Step-by-step explanation:

please give branliest if you want

Answer:

The final balance is $16,406.01.

The total compound interest is $8,406.01

Step-by-step explanation:

take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.

Answer: you said help so I’m not going to give the actual answer, just how to do it.

Step-by-step explanation:

You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.

Answer:

Step-by-step explanation:

Answer:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Step-by-step explanation:

Given

See attachment for A and B

Required

Arrange AB in ascending order

We have:

[tex]A = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right][/tex]

and

[tex]B = \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

So:

[tex]C = A * B[/tex]

[tex]C = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right] * \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}{27}&{115}&{-32}\\{28}&{56}&{-186}\\{6}&{90}&{38}\end{array}\right][/tex]

Where:

[tex]C_{1,1} =1*5 + 7*3 + (-1) * (-1)[/tex]

[tex]C_{1,2} =1*1 + 7*15 + (-1)*(-9)}[/tex]

[tex]C_{1,3} = 1*7 + 7*(-2) + (-1)*25}[/tex]

[tex]C_{2,1} = 5*5 + (-2)*3 + (-9) * (-1)}[/tex]

[tex]C_{2,2} = 5*1 + (-2)*15 + (-9)*(-9)}[/tex]

[tex]C_{2,3} = 5*7 + (-2)*(-2) + (-9)*25}[/tex]

[tex]C_{3,1} =(-3)*5 + 8*3 + 3 * (-1)[/tex]

[tex]C_{3,2} = (-3)*1 + 8*15 + 3*(-9)[/tex]

[tex]C_{3,3} = (-3)*7 + 8*(-2) + 3*25[/tex]

In increasing order, we have:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Step-by-step explanation:

its "false" they r not same.

stay safe healthy and happy.

Answer:

Actual answer:

4^4 = 16

16 x 3.14 = 50.24

50.24 x 1(height) = 50.24

Rounded to the nearest Tenth:

50.24 rounded = 50.2

Answer:

E is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

≈ 0.35 (corrected to 2 decimal places)