What are the solutions to the equation 3(x – 4)(x + 5) = 0? x = –4 or x = 5 x = 3, x = 4, or x = –5 x = 3, x = –4, or x = 5 x = 4 or x = –5

Answer:

n=3s-2

Step-by-step explanation:

Step 1: Remove unnecessary parentheses (2s-1)

Step 2: Collect "Like Terms" (2s+s= 3s)

Last Step: Put them all together (n=3s - 2)

Answer:

11341-5=11336

-122+42=-80, when you have different signs always keep in mind that you have to subtract and then get the sign of the big number.

for the third one you firstly have to work with the two negative signs,you have to multiply them, take note that when you multiply a negative by a negative you get a positive, a positive by a positive you get a positive and a negative by a positive you get a negative.

-0.35-(-0.25)

-0.35+0.25

=-0.1

I hope this helps

Answer:

B.22

Step-by-step explanation:

4+4+7+7=22

Answer:

-4

Step-by-step explanation:

The average rate of change of the interval [a,b] is (f(b)−f(a)) / (b−a)

Replacing a=−5, b=4, f(x)=−x^2−5x+12.

 (f(b)−f(a))/(b−a) =12−5x4− 4^2 − (12−5 x(−5)−(−5)^2)/ (4−(−5))= −4.

Answer:

B

Step-by-step explanation:

Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

[tex]c^2=a^2+b^2[/tex]

Where c is the hypotenuse (longest side) and a and b are the two legs.

Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.

[tex]c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=\sqrt{296}=\sqrt{4\cdot 74}=\sqrt4\cdot\sqrt{74}=2\sqrt{74}[/tex]

Answer:

481.92

Step-by-step explanation:

First find the increase

466.98 * 3.2%

466.98 * .032

14.94336

Add this to the original amount

466.98+14.94336

481.92336

Round to 2 decimal places

481.92

Answer:

the answer is 10 or 6^2+8^2=100

√100=10

Answer:

C

A

Step-by-step explanation:

adjacent means neighboring, right next to it. that would be 1 and 4.

supplementary means being a complementary, an additional angle, so that in sum both angles together have 180 degrees. and that is only 1.

so, C is the answer.

angle 7 = 115 degrees.

so, angle 8 is supplementary to angle 7.

they are being mirrored on the other side of the line.

so, angle 6 = angle 7, and angle 5 = angle 8.

and the same quadruple of angles have to appear, where the crossing line crosses another, parallel line. they have to be the same angles there again.

so, angle 3 = angle 7, angle 4 = angle 8, angle 1 = angle 5, angle 2 = angle 6.

and because angle 6 is also = angle 7, we have angle 2 = angle 7 = 115 degrees.

Answer:

C and A

Step-by-step explanation:

∠ 5 and ∠ 1 are adjacent ( next to each other) on the same line

The angles on a straight line sum to 180° ( supplementary )

Then ∠ 1 is adjacent and supplementary to ∠ 5 → C

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

∠ 2 and ∠ 7 are alternate exterior angles and are congruent , then

∠ 2 = ∠ 7 = 115° → A

Answer:

[tex]t=\frac{P-d}{15}[/tex]

Step-by-step explanation:

[tex]P=d+15t\\\\P-d=15t\\\\\frac{P-d}{15}=t[/tex]

Answer:

That is correct good jiob

Step-by-step explanation:

Answer:

320 sq in

Step-by-step explanation:

4(1/2*8*16) + (8*8)

= 4(64) + (64)

= 5(64)

= 320

Answer:

511 x 3 = 1533

Step-by-step explanation:

here's another:

219 x 7

hope this helpes

Answer: a. OHeight = 2 x radius

Step-by-step explanation:

Answer:

universal set is the right answer

Answer:

The total price is $9.30

Step-by-step explanation:

Price of the orders of popcorn= $5.25

Price of the drinks= $4.05

Answer:

(0,-3)

Step-by-step explanation:

You can plug in x and y into the equations to see if it works.

(-1,5)

2(-1)-(-5)=-2+5=3 Yes

(-1)+2(-5)=-1-10=-11 No

So (-1,5) Does NOT work.

(0,3)

2(0)-(-3)=0+3=3 Yes

(0)+2(-3)=0-6=-6 Yes

So (0,-3) DOES work.

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

Number of heads = 24

p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

4*24 - 4*c + 2c = 80

96 - 4c + 2c = 80          {Combine like terms}

     96 - 2c = 80        {subtract 96 from both sides}

          -2c = 80 - 96

         -2c = -16          {Divide both sides by (-2)}

           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

We know

[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]

[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]

Answer:

Rational

Step-by-step explanation:

Since a and b are rational, a - b has to be rational because we are not dividing them. 2 rational numbers subtracted from each other is always a rational number.

Example: 34 (rational) 23 (rational)

34 - 23 = 11 (rational)

Answer:

C.   p = 3/q

Step-by-step explanation:

An inverse proportion has the form:

y = k/x

Your problem uses p and q, so you need the form

p = k/q

Answer: C.   p = 3/q

Answer:

I’m not entirely sure what the question is asking but...

The spinner has a 1/4 chance of landing on green

with this, being a 12 section game wheel, it means that 3 of the sections are green.

Answer:

-7α + 28 = 7

-7α + 28 - 28 = 7 - 28

-7α = -21

α = -21/-7

α = 3

Answer: $0.06 per inch

Concept:

When encountering questions that ask for unit price, follow the statements to get the answer. For example, this question asks the price per inch. Therefore, in the actual answer, use the total price given divided by the number of inches.

Solve:

Price = $6.48

Inch = 9 × 12 = 108 in

Price / Inch = 6.48 / 108 = $0.06 per inch

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The measure of one angle is 81.3° and the other angle is 8.7°.

Step-by-step explanation:

We are given that two angles are complementary. One angle's measure is 3 more than 9  times the other angle.

Let the measure of one angle be 'x' and the measure of other angle be 'y'.

So, according to the question;

                                 x + y = 90°

                                 x = 90° - y  ---------------- [equation 1]

                             x = 3 + 9y ------------ [equation 2]

Now, both the equations we get;

90 - y = 3 + 9y

9y + y = 90 - 3

10y = 87

[tex]y=\frac{87}{10}[/tex] = 8.7°

Now, putting the value of y in equation 1 we get;

                x = 90° - y

                x = 90° - 8.7° = 81.3°

Hence, the measure of one angle is 81.3° and the other angle is 8.7°.

The point of intersection of the graph of y = (2/3)x and y = (-3/4)x is at point (0, 0).

An equation is an expression that shows the relationship between two or more numbers and variables.

The straight line passing through (0, 0) and (3, 2) have an equation of y = (2/3)x while the straight line passing through (0, 0) and (4, -3) have an equation of y = (-3/4)x

The point of intersection of the graph of y = (2/3)x and y = (-3/4)x is at point (0, 0).

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

Relation (But not a function) Your welcome.

Step-by-step explanation:

Answer:

Set two equations:

[tex]\left \{ {{x+y=50} \atop {\frac{x}{y}=\frac{7}{11} }} \right.[/tex]

Rearrange one of the equations to find the value of a variable:

[tex]x+y=50\\x=50-y[/tex]

Substitute in that value into the other equation:

[tex]\frac{50-y}{y}=\frac{7}{11}[/tex]

Cross-multiply & solve for y:

[tex]7y=11(50-y) \\7y=550-11y\\7y+11y=550\\18y=550\\y=\frac{550}{18}=\frac{275}{9}[/tex]

Substitute in the value to the original equation to find x:

[tex]\frac{x}{\frac{275}{9}}=\frac{7}{11} \\\frac{9x}{275}=\frac{7}{11} \\9(11)x=275(7)\\99x=1925\\x=\frac{1925}{99} =\frac{175}{9}[/tex]

Therefore, the answer will be:

You can check your answers by:

[tex]\frac{175}{9} +\frac{275}{9} =\frac{450}{9} =50[/tex]

[tex]\frac{\frac{175}{9} }{\frac{275}{9} } =\frac{175}{9} *\frac{9}{275} =\frac{175}{275}=\frac{7}{11}[/tex]

Answer:

x = 175/9

y = 275/9

Step-by-step explanation:

Let the larger number be 'x' and smaller number be 'y'

sum of two numbers is 50.

x +y = 50 --------(I)

      x = 50 - y   -------------(II)

The larger number is divided by the smaller number we get 7/11.

[tex]\frac{x}{y}=\frac{7}{11}\\\\[/tex]

Cross multiply,

11x = 7y

11x - 7y = 0 ------------(III)

Substitute x = 50 -y in equation (III)

11*(50-y) - 7y = 0  

11*50 - 11*y - 7y  = 0             {Distributive property}

550 - 11y - 7y = 0  

550 - 18 y = 0        {Combine like terms}

Subtract 550 from both sides

- 18y = -550

Divide both sides by (-18)

y = -550/-18

y = 275/9

substitute y = 275/9 in equation (III)

[tex]11x - 7*(\frac{275}{9})=0\\\\11x-\frac{1925}{9}=0\\\\11x =\frac{1925}{9}\\\\x=\frac{1925}{9*11}\\\\x=\frac{175}{9}[/tex]

The temperature change after 6 hours is 6.8°F

Initial temperature = 5.6°F

Initial temperature = 5.6°FFinal temperature after 6 hours = -1.2°F

The temperature change can be calculated as the difference in the value of final and initial temperature.

Temperature change = (final temperature - initial temperature)

Temperature change = (5.6 - (-1.2))°F

Temperature change = (5.6 + 1.2)°F = 6.8°F

Hence, temperature change after 6 hours is 6.8°F

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Answer:

6.8

Step-by-step explanation:

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