Mathematics High School

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with
multiplicity 2?
Of(x) = 2(x + 7)(x + 5)(x - 2)
Of(x) = 2(x-7)(x - 5)(x + 2)
Of(x) = (x + 7)(x + 5)(x + 5)(x - 2)
of(x) = (x-7)(x-5)(x - 5)(x + 2)
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Answers

Answer 1

Answer:

of(x) = (x-7)(x-5)(x - 5)(x + 2)

Step-by-step explanation:

Related Questions

2. Find the value of x.
(1 point)
(5x)
(3x+28)
O 14
O20
O 12
O 19

Answers

Answer:

x = 14

Step-by-step explanation:

The triangle has 2 congruent legs and is isosceles with 2 base angles being congruent , then

5x = 3x + 28 ( subtract 3x from both sides )

2x = 28 ( divide both sides by 2 )

x = 14

Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:

Answers

Answer:

46

Step-by-step explanation:

1 sum  42+4

3.5m/min = how manny miles/hour

Answers

Answer:

[tex]\sf\longmapsto0.13 miles/hour[/tex]

Step-by-step explanation:

Firstly we have to use the formula to find the miles/hour

[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]

[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]

[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]

Mira has $76 in her bank account and receives $11 in allowance every week. Write and expression to represent how much money she after w amount of weeks

Answers

Answer:

87w

Step-by-step explanation:

If she has $76 in her accoumt

and receives $11every week

76+11=$87

she would have$87xw in w amount of weeks

Answer:

76 + (11w)

Step-by-step explanation:

Mira has $76 in her bank account and receives $11 in allowance every week. Write and expression to represent how much money she after w amount of weeks

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

76 + (11w)

What is \frac{1.88x10^6}{2000} in scientific notation?

Answers

Answer:

Its actually 9.4 × 10²

Step-by-step explanation:

Plz help me, thx you

Answers

Answer:

transversal line is line A. parallel lines are B and C. corresponding to angle A is angle D. and alternate angle to E is G.

Can someone help me please ?

Answers

Answer:

=

Step-by-step explanation:

1. The square root of 4 is 2 because [tex]2^2[/tex] = 4.

2. The cube root of 8 is 2 because [tex]2^3 = 2* 2 * 2[/tex] = 8.

3. 2 and 2 are equal.

Therefore, the correct symbol is =.

Show that (√7+i√3/√7-i√3 + √7-i√3/√7+i√3) is real​

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

Solve the problem based on the picture

Answers

Step-by-step explanation:

those are the x values in the graph above

now the slope

first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)

then substitute the X values

the slope at first point=0.00214262528

the slope at secondpoint=0.29521512101

the slope at the third point=0.29521512101

PLEASE HELP ITS DUE REALLY SOON AND IM REALLY DESPERATE JUST ANSWER ANY QUESTION THAT YOU CAN AND PLS TELL ME WHICH ONE IT WAS. I WILL GIVE BRAINLIEST 5 STARS AND A THANKS PLS OMG :C SORRY THERE IS NOT A LOT OF POINTS :cCC

Answers

4. A: y= 2x + 6

B: y= x + 9

5. (3,12)

6. C: a pizza with 3 toppings will equal $12 at either restaurant

30 POINTS, WILL GIVE BRAINLIEST IF ONLY RIGHT
Which of these expressions is equivalent to log 200?

A) 2 + log 2
B) 2 + log 20
C) log 50 + log 150
D) log 250 – log 50

Answers

Answer:

ITS A ITS A ITS A

ANSWER = A

Step-by-step explanation:

Express the ratio of 300 miles to 25 gallons of gasoline as a untie rate
Answers:
12 miles per gallon
1.2 miles per gallon
50 miles per gallon
32 miles per gallon

Answers

Answer:

12 miles per gallon (answer A)

Step-by-step explanation:

300:25

Divide each side by 25:

12:1

12 is your answer

Hope that helps

There are 4 times as many dogs as cats if the total number of dogs and cats is 20

how many dogs are there

Answers

Answer:5

Step-by-step explanation: 4*5=20

What did I do wrong 1st person answer get brainlist

Answers

Answer: you got the subtracted wrong.

Step-by-step explanation: 115 - 101 = (14)

you said 13

PLEASE HELP HELPPPPPPPPP

Answers

Answer:

(1,-4)

Step-by-step explanation:

2x+4y=-14

x-2y=9

2x+4y=-14

2(x-2y)=(9)2

2x+4y=-14

2x-4y=18

Add X

4x=4

X=1

Substitute x into any equation

(1)-2y=9

-2y=8

y=-4

why did lil uzi vert get a diamond in his head

Answers

because he think he cool or whateva

Answer:

Because he thought it would make him stand out.

Can someone help me, please?

Answers

Answer:

112

Step-by-step explanation:

I got ace in a week i felt so happy i wanna give someone branliest

2+2

Answers

Answer:

4

Step-by-step explanation:

2 plus 2 equals 4 lmk if you need more help

Answer:

4

Step-by-step explanation:

Please give a detailed explanation

Answers

[tex]\displaystyle \large \boldsymbol{} (7 \sqrt[5]{6x-10}) ^2 +\backslash\!\!\!8=\frac{49}{x^{-\tfrac{2}{5} }} +\backslash\!\!\!8 \\\\\\ 49\!\!\!\! \diagup \sqrt[5]{(6x-10)^2} = 49\!\!\!\! \diagup \cdot \sqrt[5]{x^2} \ \ ; \\\\\\ (6x-10)^2=x^2 \\\\ (6x-x-10)(6x+x-10) =0 \Rightarrow x_1=2 \ ; \ x_2=\frac{10}{7 }[/tex]

simplify the problem 4 . 3 + 1 . 6 + 8 . 4 − 0 . 9

Answers

Answer:

13.4

Step-by-step explanation:

4.3+1.6=5.9

5.9+8.4=14.3

14.3-0.9=13.4

URGENT PLEASE HELP, respond to c, d, e, and f please !!

Answers

Answer:

Step-by-step explanation:

c. (18.5-17)/.9= 1.66666666667= 1.6667

d. .7107

e. .2185

f.  0.675=(x-17)/.9 x= 17.6075


Gabriella is building a garden that is 3.6 m long by 7.77 m wide. What is the area of her garden?

Answers

Answer: 27.97 m^2

Explanation:
Area = Length x Width
Area = 3.6m x 7.77m
Area = 27.97 m^2

Help ASAP I’ll mark you as brainlister

Answers

your answer is 2x^2+3x+7

Show 2 + 5 in number line.

Answers

To mark 2/5; move two parts on the right-side of zero. To mark 11/5; move eleven parts on the right-side of zero. To mark -8/5; move eight parts on the left-side of zero. To mark -3/5; move three parts on the left-side of zero

Please show the process of your result. Thank you! :D

Answers

Answer:

[tex]3\sqrt{7}[/tex] Is correct answer

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

|2i+3j| is equal to:

Answers

Answer:

Step-by-step explanation:

|2i+3j|=√(2²+3²)=√(4+9)=√13

Claire ate dinner at her favorite restaurant. When she received her bill, she wanted to
leave a 15% tip. What is the correct amount for Claire to tip, if the bill was $9.00?

Answers

Answer:

$1.35

Step-by-step explanation:

you multiply $9.00 (9) by 15% (.15). Which gives you 1.35.

The answer is $1.35.

Please answer these and find the slope intercept form for each one.
Best answer gets brainliest!

Answers

1. 5/y=2/3x +3
2. y= 7/1-4
3. y=2/5x8
4. y=-3/4 +1 I could be wrong but I think this is right

Eight identical pens cost $10.80.
a. Write an equation in the given box that represents the total cost, y, in dollars for a pens.

Answers

answer 10.80 x Y = X

All of the cheese slices at Chester's Cheesy Cafe have the same mass.
Chester finds that the total mass of 3 cheese slices is 27 grams.
What is the mass of one of the cheese slices?
grams

Answers

Answer: 1 slice is 9 grams

If 3 is 27 to find one slices you need to dived by 3.

3 slices divided by 3 slices is one slice.

27 grams divided by 3 is 9

So one slice is 9 grams
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