3+ х = х2 + 3x
rewrite by completing the square

Answer:

The answer is 3

Step-by-step explanation:

Answer:

The unit rate would be 3 dollars per pound!

Answer:

81

Step-by-step explanation:

65 meters plus the 16 is 81

Answer:

Step-by-step explanation:

AB represent the building. C represents the spot

The building forms right angle with the ground.

BC will be the hypotenuse and AB, AC are the legs

Use Pythagorean theorem,

AB² + AC² = BC²

AB² + 16² = 65²

AB² + 256 = 4225

          AB² = 4225 - 256

                 = 3969

          [tex]AB = \sqrt{3969} =\sqrt{63*63}[/tex]

AB = 63 m

height of the building = 63 m

Answer:

3500×1.04

3500\times 1.216653 simplify

3500×1.216653 simplify

Simplify  3500\times 1.2166533500×1.216653  to  4258.2851584258.285158.

4258.285158 simplifed

Step-by-step explanation:

hope this helps if not please let me know

Answer:

10/21

Step-by-step explanation:

3/7 + 1/21

= 9/21 + 1/21

=9 + q/21

= 10/21

Answer:

7 is in the hundredths place

Step-by-step explanation:

If your asking for the place value the 7 is the hundredths hope this is what your looking for

Answer:

Step-by-step explanation:

one candle volume = area of base (circle) × height

V=r²πh

V=6²×π×9

   =36cm²×π×9cm²

  =351π cm³

  ≈1017.36 cm³

then multiply by 5 because there are 5 candles

= 5×351π cm³ = 1755 cm³

≈ 5510.7 cm³

The amount of sand needed = volume of rectangular pyramid = 160 cubic inches of sand.

Volume of rectangular pyramid = 1/3(base area × height of pyramid)

Given the following:

Amount of sand needed to fill each beach toy = Volume of rectangular pyramid = 1/3(48 × 10) = 160 cubic inches of sand.

Learn more about volume of rectangular pyramid on:

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To turn something into the slope-intercept form

  ⇒ must know the slope-intercept form ⇒ [tex]y = mx +b[/tex]

To convert our current form into slope-intercept form

 ⇒ must solve for 'y'

    ⇒ (in other words) move everything to one side and 'y' by itself on the

    other

        [tex]3y - 9x = -81\\3y =9x-81\\y = 3x - 27[/tex]

     *purely extra information (not necessary for final answer)

Slope-intercept form: y = 3x - 27

Hope that helps!

Step-by-step explanation:

.......................

Answer:

5.25 inches or [tex]5 \frac{1}{4}[/tex] inches

Step-by-step explanation:

I believe that the question is what do they multiply to..? If so, we start by making them both in decimal form:

7 / 2 = 3.5

3 / 2 = 1.5

Now, we multiply:

3.5 * 1.5 = 5.25

If you want fraction form, we can turn .25 to 1/4.

Fraction form: [tex]5 \frac{1}{4}[/tex]

Answer:

$13.96

Step-by-step explanation:

1st, we figure out how much it cost to make the quilt.  The thread cost $2.99.  She bought 3 yards of fabric for $9.35 per yard, so the fabric cost $9.35 x 3 = $28.05.

The quilt cost $28.05 + $2.99 = $31.04

Profit is sales price less the cost of the item.  It's the money left over.

Sales price $45.00 - cost $31.04 = $13.96 is her profit

Answer:

320

Step-by-step explanation:

Answer:

320 MP3 players

Step-by-step explanation:

4/50 MP3 players are defective

Multiply by 80 to get the whole shipment

4/50 x 80 = 320/4000

Answer:

The Zero Product Property states that if the product of two numbers is zero, then at least one of the numbers is zero. In symbols, where a and b represent numbers, if ab=0, then a = 0 or b=0

Step-by-step explanation:

Answer:

The identity property of 0, also known as the identity property of addition, tells us that any number + 0 = the original number. Adding zero will not change the "identity" or value of the number you are adding it to. For example: 5 + 0 = 5.

6 + 0 = 6

1 + 0 = 1 ... etc.

18

Hope it helps.

Do comment if you have any query.

Answer:

I believe it is 10!

Step-by-step explanation:

The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 and so on.

The only multiple between -4 and 12 is 10!

Hope this helps!!!!

6. d = 24 and w = (-4)

   [tex]-\frac{d}{6} -5-8w=-\frac{24}{6} -5-8(-4)=-4-5+32=23[/tex]

7. n = 7 and d = 2

   [tex]-7d +2(6n - 9)\\ = -7(2) + 2(6(7) - 9) \\= -14 +2(42-9)\\=-14+2(33) = -14 + 66 = 52[/tex]

8. d = (-6) and w = (-9)

    [tex]8-\frac{d}{3} +6w=8-\frac{(-6)}{3} +6(-9)=8+2-54 = -44[/tex]

9. s = 4 and z = (-5)

    [tex]\frac{8}{s} +3+4z=\frac{8}{4} +3+4(-5)=2 + 3 - 20 = 5 -20 = -15[/tex]

Hope that helps!

Answer:

Dali Lang po Yan Kaya mopo yan

The amount of drugs that will be left after 12 hours is 17.42 mg provided Sarah takes 550 mg of an antibiotic every hour.

Exponential decay can be described as a reduced amount of an original substance by a definite percentage over a period of time. It can be determined by using the formula:

[tex]\mathbf{y = a(1 - r)^t}[/tex]

where;

[tex]\mathbf{y = 550(1 - 0.25)^{12}}[/tex]

y = 17.42 mg

Therefore, we can conclude that the amount of drugs that will be left after 12 hours is 17.42 mg.

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Answer:

Option D is correct

[tex]Slope[/tex] [tex]of[/tex] [tex]AC=Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Step-by-step explanation:

Given:

1.

ΔABC and ΔDEF are similar

Property of similar states that corresponding sides are in proportion.

2.

[tex]\frac{BC}{EF}=\frac{AB}{DE}[/tex] [By property of similar triangles]

Property of proportions allows you to cross multiply the equation.

then;

3.

[tex]\frac{AB}{BC}=\frac{DE}{EF}[/tex]   [Property of proportion]

Definition of slope: Slope is described as the steepness and direction of line.

then by definition of slope;

4.

[tex]Slope[/tex] [tex]of[/tex] [tex]AC=\frac{BC}{AB}[/tex]

5.

[tex]Slope[/tex] [tex]of[/tex] [tex]DF=\frac{EF}{DE}[/tex]

6.

Substitution property of equality states that:

If a = b then a can be substituted in place of b in any equation or vice-versa.

then;

[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Therefore, the missing step in 6 we get,

[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

The correct statement for the symbol of a radioactive nuclide is the number of neutrons present in the nucleus of each atom is 126.

Radioactive nuclide or radioisotope is a different species of chemical element which have a similar mass.

These elements have unstable nuclei, which waste energy by emitting radiation such as alpha, and beta-gamma rays.

Thus, the correct option is C, the number of neutrons present in the nucleus of each atom is 126.

Learn more about radioactive nuclide

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Answer:

c

Step-by-step explanation:

Answer:

yes, if this is the answer you're looking for

Step-by-step explanation:

Yes. The scale factor is 1/2 or Divide by 2

Answer:

One is 89 , the other is 33.

Step-by-step explanation:

Set up a system of 2 equations:

x + y = 122

x - 2y = 23        Subtracting:

0 + 3y = 99

y = 33.

So:

x + 33 = 122

x = 122 -33 = 89.

Answer:

first number= 89 and second number= 33

Step-by-step explanation:

here, let the first number be X and the second number be y,then

From the question,

x + y = 122 ---- eq i

x -2y = 23 ----- eq ii

From substitution method,

From eq i,

x + y = 122

or, x =122 - y

Now, putting the vale of x in eq ii,we get,

122 -y -2y = 23

or, -3y = 23-122

or, -3y = -99 (cut minus sign in both sides)

or, y=99/3

or, y = 33

Again, putting the value of y in eq i,we get,

x + 33 = 122

or, x= 122-33

or, x=89

Answer:

c + 13c ≥ 78c

78c - 13c =

65c

Answer:

x > -12

Step-by-step explanation:

Think of X as 1, so its kinda like 1x, so (1x+4=5x). Times the 2, = 10x.

1. X + 4 = 5x

2. 5x · 2 = 10x

3. Place the variables, X > -12

Answer: X > -12

Answer:

Step-by-step explanation:

8 with an exponet of 30 over 8 with an exponent of 8 ( aka ) 240/64