1. Which of the following is a rational number? (4 points)
197, 198, 199, 100
197
198
199
V100

Answer:

On what

Step-by-step explanation:

Answer: (x-3)(x-1)(x+5)

Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.

Answer: (x-1)(x-3)(x+5)

Step-by-step explanation:

Use the rational root theorem

Constant term = 15, Coefficient of leading term = 1

Factors of 15: 1, 3 , 5, 15

Factors of 1: 1

Therefore, (x-1) is a factor

[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]

Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)

Answer:

4,400

Step-by-step explanation:

Hope this helps!

Answer:

46.6

Step-by-step explanation:

[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]

Answer:   acute

Step-by-step explanation: its not right cuz there a 90 degree angle and it isnt obtuse

Answer:

0

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(10+4v)=−6(5−9v)

Step 1: Simplify both sides of the equation.

−3(10+4v)=−6(5−9v)

(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)

−30+−12v=−30+54v

−12v−30=54v−30

Step 2: Subtract 54v from both sides.

−12v−30−54v=54v−30−54v

−66v−30=−30

Step 3: Add 30 to both sides.

−66v−30+30=−30+30

−66v=0

Step 4: Divide both sides by -66.

−66v

−66

=

0

−66

v=0

Answer:

omg im so sorry

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

-24 -6n = -42

+24 (move to other side)

-42 + 24 = -18

-6n = -18

to move the -6 to the other side you divide

-18 divided by -6 is 3

n=3

Answer:

$510

Step-by-step explanation:

Formula for calculating money with simple interest: principle money × interest rate with 100% × period of time

Total amount of money = 100 × [tex]\frac{100+2}{100}[/tex] × 5

                                       = 510

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40/50

Find the least common multiple.

List the multiples of each:

9, 18, 27, 36, 45, 54, 63, 72

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

8, 16, 24, 32, 40, 48, 56, 64, 72

The least common multiple is 72

The number of packs of each would be:

Bread rolls: 72/9 = 8

Cheese = 72/6 = 12

Ham = 72/8 = 9

divide 9.75 by 15 equals sixty ixty five cent's

Answer:

2 2/3

Step-by-step explanation:

Answer:

-7 1/3

Step-by-step explanation:

I already learned how to do that

Answer:(4) right angle

Step-by-step explanation:

you need to get 180 right solve it from there

The angle is 90degrees, hence the triangle PQR is right triangle

The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.

Sum of the ratio = 2 + 3 + 5

Sum of the ratios = 10

For the ratio of m<P:

<P = 2/10 * 180

<P = 36 degrees

For the angle m<Q

m<Q = 3/10 * 180

m<Q = 54 degrees

For the angle R;

m<R = 5/10 * 180

m<R = 90 degrees

Since one of the angles is 90degrees, hence the triangle PQR is right triangle

Learn more on angles here: https://brainly.com/question/14362353

Quadrilaterals with same length and breadth or height have same areas.

Step-by-step explanation:

You can prove this by drawing two quadrilaterals individually and then by calculating there areas.

Answer:

6 (I believe so)

Step-by-step explanation:

9n-24=4n+6

9n=4n+30

5n=30

n=6

Answer:

n=6

Step-by-step explanation:

9n - 24 = 4n + 6

-4n          -4n

5n - 24 = 6

     +24    +24

5n = 30

divide both sides by 5

n = 6

hope this helps!!!

Answer:

25 i think

Step-by-step explanation:

Answer:

Correct answer:

3

Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:

f(a) =  a2 – 5

Setting this equal to 4, you can solve for a:

a2 – 5 = 4

a2 = 9

a = –3 or 3

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

⋅

7

5

=

40.5

i

pounds

⋅

7

5

5

. Solve for

x

.

5

⋅

7

7

⋅

5

x

=

40.5

⋅

7

5

i

pounds

x

=

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

∣

∣

−−−−−−−−−−−−−−−

Answer:

can you add a picture of the circle?

Step-by-step explanation:

Answer:

ever get answer et

Step-by-step explanation:

Answer:

0.0238  g

Step-by-step explanation:

Given that:

the certain mineral = potassium and a medium artichoke contain about 0.17 g of it.

Suppose a medium artichoke contains about 14% of the recommended amount of a certain mineral.

On Average, the amount an adult should have each day = 0.17 g × (14/100)

= 0.0238  g

Answer:

easy the answer is d)y=2

Step-by-step explanation:

why because

3y−4=6−2y

Add 2y to both sides.

3y−4+2y=−2y+6+2y

5y−4=6

Add 4 to both sides.

5y−4+4=6+4

5y=10

Divide both sides by 5.

5y/5 = 10/5

y=2

Answer:

It would not be a positive 5 but a -5 as your answer.

Step-by-step explanation:

45-5=40 and so forth

Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

For the given trinomial that has the factor (x -1), k = 1,

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given a trinomial equation:

f(x)=x^3+kx-4

And also given it has a factor (x - 1)

Thus, at x = 1 the value of the f(x) will be 0

So,

f(x) = x^3 + kx - 4

f(1) = 1^3 + k*1 - 4

0 = 1 + k -4

k = 3

therefore, The value of k = 1 for the given Trinomial that has  the factor (x -1)

Learn more about Polynomials here:

https://brainly.com/question/11536910

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