Find the remainder when p(x) = x³− 5x²+ x −5 is divided by 1− 3x.

Answer:

[tex] = \frac{1}{5} {x}^{2} [/tex]

[tex]2\sqrt{3}[/tex]

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

Steps:

1st write out equation

[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]

Second write the conjugant and multiply it.

[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]

After multiplying you should get,

[tex]\frac{10\sqrt{3}}{5}[/tex]

now after simplifying you should get

[tex]2\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7}{x-5}=\dfrac{5}{x+7}[/tex]

[tex]\\ \sf\longmapsto 7(x+7)=5(x-5)[/tex]

[tex]\\ \sf\longmapsto 7x+49=5x-25[/tex]

[tex]\\ \sf\longmapsto 7x-5x=-25-49[/tex]

[tex]\\ \sf\longmapsto 2x=-74[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-74}{2}[/tex]

[tex]\\ \sf\longmapsto x=-37[/tex]

Answer:

63

Step-by-step explanation:

We are taking a dilation of 3, so that means we are multiplying by 3. We multiply 3 to 21 to get 63.

Answer:

Step-by-step explanation:

It is rational because it doesn't have infinite decimals

Answer:

0, 8

Step-by-step explanation:

To find out a distance of these numbers, you shall find out how far each number is, preferably you can use a number line for this.

Answer:

calcula

Step-by-step explanation:

Answer:

[tex]3 + \sqrt{ - 25} = 3 + \sqrt{25} i\\ = 3 + 5i \\or \: \\ 3 \sqrt{ - 25} \\ = 3 \times 5i = 15i \\ thank \: you \\ [/tex]

Answer:

5.2

Step-by-step explanation:

3.7 - (-1.5)

3.7 + 1.5

5.2

Answer:

5.2

Step-by-step explanation:

maths

Answer:

1 7/12 = 1.58

Step-by-step explanation:

If you divide 7 by 12, you will get 0.583... If you add 1 in the ones, that'll be

1.583... or 1.58.

Answer:

fig 1 no

Step-by-step explanation:

cause one element of domain (a) has two element. on range

Answer

fig 1 no

Step-by-step explanation:

cause one element of domain (a) has two element. on range.

Plzzz at least hit thanks ??

Answer:

1

Step-by-step explanation:

5t = 5

divide equation by 5 to get rid of it

t = 1

This is because 5t means "5 times t". The t is a placeholder for a number.

To solve for t, we divide both sides by 5

5t = 5

5t/5 = 5/5

t = 1

Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.

Answer:

y=2x-3

Step-by-step explanation:

2x=y+3

2x-3=y

Answer:

7000

Step-by-step explanation:

lets start with 695

9 is the thousand

you check the number next to 9

less then 4 let it rest

more than 5 let it soar

something like that lol

anyways since 5 is next to the 9 we round up from 9 to the next number which is 10

so that changes the whole number to 7000

hope this makes sense!

Answer:

[tex]irrational \: or \: rational \\ for \: exmple \sqrt{2} \times \sqrt{2} = 2 \\ thnk \: you[/tex]

all my digits are different

-my ones digit is 4 times my hundreds digit

- my thousands digit is a perfect square

-my ones digit is 3 more than my tens digit

what number am I?

Step-by-step explanation:

20/40 is same as 20÷40 which reduces to 1/2.

Answer:

Apart from PB&J and oatmeal, pancakes are the most popular (and best) breakfast meal. They’re nutritious, yummy and can be served with both salty and sweet flavors. But are they easy to make? The recipe may be simple, but there are many things we need to consider.

Step-by-step explanation:

Q/ True or False

4. Ans ; False —> because

[tex] \frac{2 \times 3.5}{3 \times 3.5} = \frac{7}{10.5} [/tex]

Or; 2/3= 0.6 , 7/16= 0.43 so no equal

5. True —> because

[tex] \frac{5 \times 9.6}{15 \times 9.6} = \frac{48}{144} [/tex]

Or; 5/15=0.33 , 48/144 = 0.33 so equal

6. True —> because

[tex] \frac{12 \times 1.5}{28 \times 1.5} = \frac{18}{42} [/tex]

Or; 12/28=0.4285 , 18/42=0.4285 so equal

Q/ value " x "

7. Ans;

[tex] \frac{3}{6} = \frac{x}{8} \\ 6x = 8 \times 3 \\ 6x = 24 \\ x = \frac{24}{6} \\ x = 4[/tex]

8. Ans;

[tex] \frac{52}{x} = \frac{4}{1} \\ 4x = 52 \\ x = \frac{52}{4} \\ x = 13[/tex]

9. Ans;

[tex] \frac{15}{12} = \frac{10}{x} \\ 15x = 10 \times 12 \\ 15x = 120 \\ x = \frac{120}{15} \\ x = 8[/tex]

10. Ans;

[tex] \frac{18}{x} = \frac{2.4}{28} \\ 2.4x = 28 \times 18 \\ 2.4x = 504 \\ x = \frac{504}{2.4} \\ x = 210[/tex]

11.Ans;

[tex] \frac{3}{4} = \frac{x}{3.8} \\ 4x = 3.8 \times 3 \\ 4x = 11.4 \\ x = \frac{11.4}{4} \\ x = 2.85[/tex]

12. Ans;

[tex] \frac{x}{12} = \frac{2 \frac{1}{3} }{5} \\ \frac{x}{12} = \frac{ \frac{7}{3} }{5} \\ \\ \frac{x}{12} = \frac{7}{3} \div 5 \\ \\ \frac{x}{12} = \frac{7}{3} \times \frac{1}{5} \\ \\ \frac{x}{12} = \frac{7}{15} \\ \\ 15x = 12 \times 7 \\ 15x = 84 \\ \\ x = \frac{84}{15} \\ \\ x = 5.6[/tex]

Q/ Write each ratio

1.Ans;

[tex] \frac{30 \: ft}{60 \: ft} = \frac{30 \: ft \: \: \div 30}{60 \: ft \: \: \div 30} = \frac{1 \: ft}{2 \: ft} [/tex]

2. Ans;

[tex] \frac{45 \: mph}{25 \: mph} = \frac{45 \: mph \: \div }{25 \: mph \div 5} = \frac{4 \: mph}{5 \: mph} [/tex]

3. Ans;

[tex] \frac{6 \: min}{16 \: min} = \frac{6 \: min \: \div2 }{16 \: min \: \div 2} = \frac{3 \: min}{8 \: min} [/tex]

4. Ans;

[tex] \frac{300}{450} = \frac{300 \div 150}{450 \div 150} = \frac{2}{3} [/tex]

5. Ans;

[tex] \frac{48 \: gal}{14 \: min} = \frac{48 \: gal \div 2}{14 \: min \div 2} = \frac{24 \: gal}{7 \: min} [/tex]

6. Ans;

[tex] \frac{21 \: fem}{61 \:mal } = \frac{21 \: fem \div 3}{51 \:mal \div 3} = \frac{7 \: fem}{17 \: mal} [/tex]

7. Ans;

[tex] \frac{4.2}{36} = \frac{4.2 \div 12}{36 \div 12 \: pot} = \frac{0.35}{3 \: pot} [/tex]

8. Ans;

[tex] \frac{72 \: correct}{96 \: questions} = \frac{72 \: correct \div 24}{96 \: questions \div 24} = \frac{3 \: correct}{4 \: questions} [/tex]

Q/Find the unit rate

9.Ans;

[tex] \frac{1500 \: m}{6 \: s} = \frac{250 \: m}{1 \: s} [/tex]

10. Ans;

[tex] \frac{192 \: mil}{6 \: gal} = \frac{32 \: min}{1gal} [/tex]

11. Ans;

[tex] \frac{20 \: people}{5 \: cars} = \frac{4 \: people}{1 \: cars}[/tex]

12.Ans;

[tex] \frac{36}{4 \: lbs} = \frac{9}{1 \: lbs} [/tex]

I hope I helped you^_^

High school A:  3 vans + 12 buses = 504 students

High school B: 2 vans + 4 buses = 184 students

Multiply High school B by 1.5:

High school B: 3 vans + 6 buses = 276 students

Subtract High school B from High School A:

6 buses = 228 students

Divide students by buses:

Buses = 228 / 6 = 38 students per bus

Now solve for vans using high school A:

3 vans + 12(38 students per bus) = 504 students

Simplify:

3 vans + 456 students in buses = 504 students

Subtract students in buses from both sides:

3 vans = 48

Divide both sides by 3:

Vans = 16

Answer: vans = 16 students, buses = 38 students

Answer:

Step-by-step explanation:

1: x=5

2: x=2

3: x = 3

4: x=5

5: x=3

6: x=4

7: x=37

Answer:

-15

Step-by-step explanation:

the number is N

N - 9 = -24

N = -15

Answer:

the answer is 33

Step-by-step explanation:

-24 + 9 = -33

Answer:

-10x-28

Step-by-step explanation:

-

Answer:

Step-by-step explanation:

The temperature change in 6 days is 91 - 49 = 42 F

So the daily change is 42/6 = 7 F.

Answer:

[tex]auphy = (6 \: 9 \: 11) \\ ainter \: section \: phy = null \: set \\ thank \: you[/tex]

Answer:

B=2/4

Step-by-step explanation:

Its very simple. 3/4-1/4=2/4.

Answer:

[tex]b=\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the difference

[tex]b=\frac{3}{4}-\frac{1}{4}[/tex]

Solution

[tex]b=\frac{1}{2}[/tex]

Answer:

Answer: D. 8/3

Step-by-step explanation:

Formular for slope:

[ consider points (x1, y1) and (x2, y2) ]

[tex]slope = \frac{y_{2} - y _{1} }{x _{2} - x _{1} } \\ [/tex]

x1 » 5, y1 » 4

x2 » 13.25, y2 » -18

[tex]sloe = \frac{ - 18 - 4}{13.25 - 5} \\ \\ = \frac{22}{8.25} \\ \\ { \boxed{ \boxed{slope \: = \frac{8}{3} }}}[/tex]

You can re-write this quotient this way :

[tex]\frac{\sqrt{28(x-1)}}{\sqrt{8x^{2} }} = \sqrt{ \frac{28(x-1)}{8x^{2} } }\\[/tex]

What's inside the square root must be greater than or equal to 0, because the domain of the square root function is defined on R+ (which is [0,+∞))

In other word we must find x so that :

[tex]\frac{28(x-1)}{8x^{2}}\geq 0[/tex]

at the end we get

28(x-1) ≥ 0

28x - 28 ≥ 0

28x ≥ 28

x ≥ 1

So the answer is B, x ≥ 1