Can someone help me on number 4,5

Answer:

[tex](x+11)(x-7)[/tex]

Step-by-step explanation:

To factorize [tex]x^2+4x-77[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]a \cdot c=1 \cdot -77=-77[/tex]

[tex]b=4[/tex]

Therefore, the 2 numbers that multiply together to give -77 and add together to give 4 are:  11 and -7

[tex]\implies x^2+11x-7x-77[/tex]

[tex]\implies (x^2+11x)+(-7x-77)[/tex]

Factor the parentheses:

[tex]\implies x(x+11)-7(x+11)[/tex]

Factor out the common term [tex](x+11)[/tex]:

[tex]\implies (x+11)(x-7)[/tex]

[tex]\\ \rm\rightarrowtail x^2+4x-77[/tex]

[tex]\\ \rm\rightarrowtail x^2+11x-7x-77[/tex]

[tex]\\ \rm\rightarrowtail x(x+11)-7(x+11)[/tex]

[tex]\\ \rm\rightarrowtail (x-7)(x+11)[/tex]

Done!

Step-by-step explanation:

from midpoint formula P(x,y)=1+10÷2 , 7+4÷2

=11÷2 ,11÷2

= 5.5 ,5.5

Answer:

Step-by-step explanation:

as x+6 is the quotient, you need to use -6

-6 |  4   -3   +5       6

x         -24  +162 -1002

add

       4  -27  167  -996

f(x)= 4x^2 -27x +167 - 996/(x+6)

Lets check

(x+6)(4x^2 -27x +167)= 4x^3 -27x^2 +167x + 24x^2 - 162x + 1002 =

= 4x^3 - 3x^2 +5x +1002

1002-996= 6

So we have the correct solution: 4x^2 -27x +167 - 996/(x+6)

Answer:

The answer is D

Step-by-step explanation:

Answer:

1. Second option. Value of the first column is less than the second column's value

2. Right by 4 units

3. (-1, -6)

4. Function 1 and 2 have the same maximum

5. 15

Step-by-step explanation:

1.  look at the photo

2. look at the photo

3. look at the photo

4. I used the formula -b/2a to find the x-value of the vertex. I got 0 (there is no b) and then I subbed it into the function and y = 9. Hence the vertex of the first function is (0,9) which is the same as the second function

5. The vertex of the f(x) is (-3, -3) and the vertex of g(x) is (3, 12). To find the difference you would do 12 - (-3), which would become 12 + 3 = 15

Answer:

Step-by-step explanation:

They are the multiply of 12 so it means 12×50=600

Answer:

60

Step-by-step explanation:

he is right 60

Answer:

[tex]\frac{2,000}{365}[/tex]=[tex]\frac{x}{500}[/tex]

Answer:

Step-by-step explanation:

6y+4-3y=-5+y+17

6y-3y-y= -5+17-4

2y=8

y=4

Answer:

y = 4

Step-by-step explanation:

6y + 4 - 3y = -5 + y + 17

First, we have to combine like terms on each side of the equation:

3y + 4 = y + 12

Then, we have to combine the terms from both sides of the equation:

3y + 4 = y + 12

      -4          -4

3y = y + 8

-y    -y

2y = 8

Then, we divide so we only have y on the left side:

2y = 8

/2     /2

y = 4

Hope this helps :)

Step-by-step explanation:

If the die has 6 sides, this will be 10 or under, but there are 2160 ways this can happen

Answer:

2

Step-by-step explanation:

Hope this helps

Answer:

$12.82

Step-by-step explanation:

2 x $6.00 = $12.00

Item prices + sales tax = total cost

$12.00 + (0.0685 x $12.00) = $12.82

Let me know if you have any questions about my solution.

Answer:

[tex]Cost= \$47[/tex]

Step-by-step explanation:

Given

Vertices: (−1, 5), (4, 2), and (9, −4)

Cost per foot = $8

Required

Determine the cost of fencing (-1, 5) and (4, 2)

First, we need to determine the distance between (-1, 5) and (4, 2)

Distance, d is calculated as follows:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where

[tex](x_1,y_1) = (-1, 5)[/tex]

[tex](x_2,y_2) =(4, 2)[/tex]

So, we have:

[tex]d = \sqrt{(4 - (-1))^2 + (2 - 5)^2}[/tex]

[tex]d = \sqrt{(4 +1))^2 + -3^2}[/tex]

[tex]d = \sqrt{5^2 + -3^2}[/tex]

[tex]d = \sqrt{25 + 9}[/tex]

[tex]d = \sqrt{34}[/tex]

[tex]d = 5.83095189485[/tex]

[tex]d = 5.831[/tex] -- Approximated;

If the cost of 1 foot is $8.

5.831 feet will cost:

[tex]Cost= 5.831 * \$8[/tex]

[tex]Cost= \$46.648[/tex]

[tex]Cost= \$47[/tex] -- Approximated

Answer:

52.7856 cm

Step-by-step explanation:

c=2(3.142)(16.8/2)

c= 2(3.142)(8.4)

c=52.7856 cm

Answer:

Today: Monday, 12 October 2020

Hour: 05.32 WIB (in Indonesian)

_________________________

D = 16.8

r = d ÷ 2 = 8,4

Circumference:

2πr

= 2 × 3,142 × 8,4

= 6,284 × 8,4

= 52,7856 cm

Answer:

slope is 3/2

Step-by-step explanation:

you can find slope by comparing the vertical height / horizontal height of two points on the line

for example, we can use points (20,0) and (40,30)

vertical height is 30 minus 0 which is 30

horizontal height is 40 minus 20 which is 20

so slope is 30/20 or 3/2

Answer:

w = 99 pounds

Step-by-step explanation:

The problem states that Mary's weight is given by the equation:  

w = 92 + g - 1

I believe the "-1" should be "-x."  -1 would mean that Mary lost 1 pound.  But we know that Mary lost 8 pounds, which is designated as x.

The correct equation is:

w = 92 + g - x

============

Using the correct equation, and g=15 and x=8, Mary's new weight is:

w = 92 + 15 - 8

w = 99 pounds

Answer:

6

Step-by-step explanation:

that's my answer hope it's help

yan lang nakayanan ko ty

How high the football gets is a function of the maximum height of the ball

The football goes 40.313 ft high

The equation that models the height of the ball is given as:

[tex]h(t) = -5t^2 +27.5t+2.5[/tex]

Differentiate the function

[tex]h'(t) = -10t +27.5[/tex]

Set to 0

[tex]-10t +27.5 = 0[/tex]

Collect like terms

[tex]10t =27.5[/tex]

Divide by 10

[tex]t =2.75[/tex]

Substitute 2.75 for t in [tex]h(t) = -5t^2 +27.5t+2.5[/tex] to calculate how high the ball get

[tex]h_{max} = -5 * 2.75^2 +27.5 * 2.75+2.5[/tex]

[tex]h_{max} = 40.3125[/tex]

Approximate

[tex]h_{max} = 40.313[/tex]

Hence, the football goes 40.313 ft high

Read more about maximum height at:

https://brainly.com/question/12446886

The perimeter of a circle is finding the circumference of the circle

  --> calculated by the equation:   [tex]\pi D = 2\pi R[/tex]

A semicircle has half of the circumference of the circle, thus the circumference equation is

 --> [tex]\frac{1}{2} \pi D = \frac{1}{2} *2*\pi *r[/tex]

We are given:

Now let's calculate

[tex]\frac{1}{2} *3.14*17 = 26.69 in^2[/tex]

Hope it helps!

Answer:

4

Step-by-step explanation:

Answer:

x=18/4.5=4

Step-by-step explanation:

Divide both sides by 4.5

(÷4.5)4.5x=18(÷4.5)

x=18÷4.5=4

Answer:

1+1=2

Step-by-step explanation:

Yess!!!! I have solved this biggest problem....lol

Answer: 2

Step-by-step explanation: if I were to draw 1 circle then add another circle. Then I would count the circles and get 2.

Answer: look below

Step-by-step explanation:

The equation needed to find the width is:

10*w*20 = 2,600. The answer option for that is B

The width is:

10*w*20 = 2,600

w * 200 = 2,600

w = 13in

Answer:

b

Step-by-step explanation:

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281

Answer:

1073333/5000000

Step-by-step explanation:

To convert from decimal to fraction : take denominator as 10000000.

2146666/10000000

1073333/5000000

Answer:

107333/5000000Step-by-step explanation: I got a 92 on this

Answer:

[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]

Refer to above attachment...

The winner got a total of 42 votes.

This can be defined as a number or ratio expressed as a fraction of 100. It is usually calculated by parts/whole × 100.

In this scenario, Jane was the winner as she got a higher percentage of votes. To calculate the exact number of vote we have to do the following:

70%/100% × 60 = 42 votes.

Therefore, the total number votes the winner got is 42.

Read more about Percentage here https://brainly.com/question/24304697

Answer:

because 88/8 = 11 and its a fraction

Step-by-step explanation:

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{Total Number of fish } [/tex][tex]\sf = 30 [/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{ Number of carp fish } [/tex][tex]\sf = 9 [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ Ratio of carp to sticklebacks to tench } [/tex][tex]\sf in \:the \:pond[/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\longrightarrow[/tex]Number of fish that are not carp = Total fish - number of carp fish

[tex]\begin{gathered}\implies\quad \sf 30-9 \\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf 21 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Since 1/3 of remaining fish which are not carp are sticklebacks , Number of sticklebacks =

[tex]\begin{gathered}\implies\quad \sf \frac{1}{3} \times number \:of \:remaining \: fish\\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf \frac{1}{3}\times 21 \\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf 7 \\\end{gathered} [/tex]

Now ,

[tex]\longrightarrow[/tex]Number of tench = Total number of fish - (Number of carp + Number of sticklebacks)

[tex]\begin{gathered}\implies\quad \sf 30-(9+7) \\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf 30-16\\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf 14\\\end{gathered} [/tex]

[tex]\therefore[/tex]Ratio of carp to sticklebacks to tench in the pond =

[tex]\begin{gathered}\quad\quad \boxed{\sf {9: 7:14}} \\\end{gathered} [/tex]