x2 - 6x + 8

Factoring: ax2 + bx + c

Answer:

Solution,

Let,

Angad get X

Peter get 3x

Alex get 6x

Now,

[tex]x + 3x + 6x = 50 \\ or \: 10x = 50 \\ or \: x = \frac{50}{10} \\ x = 5[/tex]

Replacing value,

[tex]6x \\ = 6 \times x \\ = 6 \times 5 \\ = 30[/tex]

hope this helps...

Good luck on your assignment..

Answer:

Angad gets £5

Peter gets £15

Alex gets £30

Step-by-step explanation:

Let Angad be x, Then Peter = 3x and Alex = 6x

Condition:

x+3x+6x = 50

=> 10x = 50

Dividing both sides by 10

=> x = 5

So,

Angad gets £5

Peter gets £15

Alex gets £30

Answer:

10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19

Step-by-step explanation:

Explanation is above. If you need any more help let me know.

Answer:

SR =3

Step-by-step explanation:

SR + RQ = SQ

2x+23 + x+21 = 14

Combine like terms

3x+44 = 14

Subtract 44 from each side

3x+44-44= 14-44

3x = -30

Divide each side by 3

3x/3 = -30/3

x = -10

SR = 2x+23 = 2(-10)+23 = -20+3 =3

Answer: 3

Step-by-step explanation:

We can start by making an equation.

Since we know the total length of SQ we can add SR + RQ to equal SQ.

[tex](2x+23)+(x+21)=14[/tex]

The parenthesizes are not necessary but they help for understanding the parts of the equation.

We will remove the parenthesizes and combine like terms.

[tex]3x+44=14\\[/tex]

Now subtract 44 from both sides to cancel it out from the side with x.

[tex]3x=-30[/tex]

Now divide by 3 to isolate x.

[tex]x=-10[/tex]

So x = -10.

Now we can plug in the value of x into SR.

[tex]2(-10)+23 = SR[/tex]

Solve

So SR = 3

Answer:

60%.

Step-by-step explanation:

The the percent increase in the number of games the Tigers won from last year to this year is; 60%

We are told that the tigers won 12 games last year.

Now this year the tigers won 20 games.

Thus, if the total number of games to be won is n, then;

Last year = 12/n

This year = 20/n

Thus,

Percentage increase = [(12/n)/(20/n)] * 100%

Percentage increase = 12/20 * 100%

Percentage increase = 60%

Read more about Percentages at; https://brainly.com/question/843074

Answer:

Is your question, how long did it take for him to do it? If so the answer is: .69 hours

Step-by-step explanation:

100 divided by 145.0441= .6894454859

Avg. Time is .69 hours

Answer:

I) Y=5x

II) Y=50

III)X=12

Step-by-step explanation :

I) Y=5x

II) Y=5(10)

Y=50 when x=10

III)Y=5x

60=5x

X=60/5

X=12 when y=60

Hope this helps..

Answer:

So the answer is C hope it helps

Answer:

y = 6x - 8

Step-by-step explanation:

line a: y = 6x- 5

10 = 6(3) - b

10 = 18 - b

10 - 18 = -b

-8 = -b

8 = b

Answer:

  47°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Cos = Adjacent/Hypotenuse

The side adjacent to ∠P is the one with P in its name: RP. The hypotenuse is the side opposite the right angle, the side without the right-angle vertex in its name: PQ. So, ...

  cos(∠P) = RP/PQ = 61/89

  ∠P = arccos(61/89) ≈ 46.733°

  ∠P ≈ 47°

Answer:

47 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of sixty-seven times a number and plus eight and nine tenth is less than or equal to three hundred and two

A) Sixty-seven times a number is less than negative three hundred two.

B) Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two.

C) Sixty-seven times a number, plus eight and nine tenths, is not less than three hundred two.

D) Sixty-seven times a number, plus eight and nine tenths, is at least negative three hundred two.

the answer closest to this is B (not greater than is the same as less than or equal to)

Answer:

B)  Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two.

Step-by-step explanation:

Let's break down this equation:

67z + 8.9 ≤ - 302

z is "a number" that is being multiplied by 67.

8.9 can be represented as 8 9/10, because 0.9 and a fraction is 9/10.

The less than or equal to sign means that the number represented by the expression 67z + 8.9 cannot be greater than -302. In other words, it is less than or equal to it.

You can see that option B is the only one that correctly compares 67z + 8.9 and -302. Therefore, that is the correct option.

Answer:

Ok, some theory first:

If we have more variables than linear independent equations, then we have infinite solutions.

If we have the same number of linearly independent equations and variables, we can have a unique solution or no solution.

we have no solution in cases where:

y = x + 3

y = x - 3

this leads to:

x + 3 = x - 3

+3 = -3

so this system has no solutions.

The first system of equations is:

y = x + 5

y = 2x + 5

Now, you can see that we have 2 variables, and 2 linear independent equations, this means that we have only one solution for this system

So here we have "One solution, the graph of these lines should intersect at one point" and the point is (0, 5)

The second system is:

y = x + 5 + x = 2x + 5

y = 2x+ 5

Both equations are the same, so here we have 2 variables and only one equation, this means that we have infinite solutions for this system.

here the correct option is the one that says "infinitely many solutions, both right side and left side are equivalent expressions"

Answer:

For y = x+5

      y=2x+5   It is one solution

For  y = X+5+X  and Y = 2X + 5   Infinitely Many Solutions both the right and left sides of the equations are equivalent expressions.  See photo below

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the equation x + 5 = 1, to get the solution to the equation, we need to find the value of x

Step 1: Subtract 5 from both sides of the equation

x+5-5 = 1-5

x = 1-5

Step 2: Find the value of the unknown variable x

x = -4

The solution to the equation is x = -4

Answer:

Sean

Step-by-step explanation:

We need to find how long Sofia spent mowing and then compare with the time Sean spent.

Sean mowed his lawn in 2 ½ hours.

Sofiia mowed her lawn for ¼ hours, then stopped. She did this 7 times. This means:

1/4 * 7 = 7/4 hours = [tex]1\frac{1}{4}[/tex] hours

Therefore, Sean spent more time mowing his lawn.

Answer:

Step-by-step explanation:

Our line's equation is;

2y = -8x + 12

Dividing throughout by 2 we get;

y = -4x + 6

The slope of our line = -4

We are to choose a line whose slope is -4 (from those four options)

A slope of -4 means that for every positive 1 move along the x-axis, there is a negative 4 move along the y-axis.

The line that satisfies this condition is the third line.

Answer:

In other words Its C

Step-by-step explanation:

The guy above and Edge 2020

0.008 if you are looking for a decimal. If you need a fraction it would be simply 8/1000 since 8 times 1 would be 8.

Answer:

Step-by-step explanation:

8 x 1/1000

= 8/1000

Simplified to 1/125

As a decimal it’s 0.008

Answer:

x=−2/0

Step-by-step explanation:

Steps:

Let's solve for x.

2x+2y=2x

Step 1: Add -2x to both sides.

2x+2y+−2x=2x+−2x

2y=0

Step 2: Add -2y to both sides.

2y+−2y=0+−2y

0=−2y

Step 3: Divide both sides by 0.

00=−2y0x=−20

Answer: x=−2/0

Plz mark brainlies

Hope this helps

Answer:

A peak is where the frequency is the highest, A peak is a bar that is higher than the other bars around it,  Intervals on a histogram where there are no bars mean the frequency is 0, If the graph is symmetrical, the data is evenly distributed.

Step-by-step explanation:

Answer:

Hope this is correct

Answer:

3876

Step-by-step explanation:

Here first even number is 26

and last even number is 126

we add both of these and divide the sum by 2

26 + 126 = 152

152/2 = 76

now there are total 51 even number from 26 to 126.

so sum of even numbers from 26 to 126 is

sum = 76 × 51 = 3876

Answer:

3,876

Step-by-step explanation:

Sequence of even numbers from 26 to 126 is given as:

26, 28, 30, 32, 35..............,126

Here, a = 26, d = 2, [tex] a_n = 126[/tex]

[tex] \because a_n = a + (n-1)d\\

\therefore 126 = 26 + (n-1) \times 2\\

\therefore 126 - 26 = 2(n-1) \\

\therefore 100= 2(n-1)\\

n - 1 = \frac{100}{2} \\

n - 1 = 50\\

n = 50 +1\\

\red{\bold{n = 51}}[/tex]

[tex]

\because S_n = \frac{n}{2}(a + a_n) \\\\

\therefore S_{51}= \frac{51}{2}(26 + 126) \\\\

\therefore S_{51}= \frac{51}{2}\times 152 \\\\

\therefore S_{51}= 51\times 76 \\\\

\huge \purple {\boxed {\therefore S_{51}=3,876}}

[/tex]

Answer:

Step-by-step explanation:

The standard form of a parabola is

[tex]y=ax^2+bx+c[/tex]

If we know the y intercept is (0, 400), that means that when x = 0, y = 400. That allows us to begin by finding c:

[tex]400=a(0)^2+b(0)+c[/tex] and c = 400.

Now to find a and b. Using the fact that the vertex is (1, 405), we know that h is 1 and k is 405. If

[tex]h=\frac{-b}{2a}[/tex] and h = 1, then

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

2a = -b so

b = -2a.  Save that for a minute or two.

If

[tex]k=c-\frac{b^2}{4a}[/tex] and k = 405, then

[tex]405=400-\frac{(-2a)^2}{4a}[/tex] and

[tex]405=400-\frac{4a^2}{4a}[/tex] and

405 = 400 - 4a and

5 = -4a so

[tex]a=-\frac{5}{4}[/tex]

We will use that a value now to find the value of b.  If b = -2a, then

[tex]b=-2(-\frac{5}{4})[/tex] and

[tex]b=\frac{10}{4}[/tex]

Writing our parabolic equation now:

[tex]y=-\frac{5}{4}x^2+\frac{10}{4}x+400[/tex]

Finding the x-intercepts is just another way of saying "factor this quadratic" so we will begin that by setting the quadratic equal to 0:

[tex]0=-\frac{5}{4}x^2+\frac{10}{4}x+400[/tex] and who hates all those fractions more than I do? Probably nobody, so we are going to get rid of them by multiplying everything by 4 to get

[tex]-5x^2+10x+1600=0[/tex] Assuming you can throw that into the quadratic formula to solve for the 2 values of x where y = 0, you'll find that the x-intercepts are

x = -16.91647287 and 18.91647287

Answer: ( -8,0),(10,0)

Step-by-step explanation:

For this expression,a=15,b=7 and c=4

Good luck on your assignment

Answer:

i think its Let a be the side length, then area=a^2=14400 sq m. Therefore a=√14400=120m.

Step-by-step explanation:

Answer:

[tex]120[/tex] [tex]meters[/tex]

Step-by-step explanation:

Use the formula for the area of a square.

[tex]A=s^2[/tex]

[tex]14400=s^2[/tex]

[tex]\sqrt{14400} =s[/tex]

[tex]120=s[/tex]

Answer:

ESTO ES INCORRECTO

Step-by-step explanation:

CON LA ECUACIÓN DE GALILEO GALILEI TENEMOS:

x = 54.6 mph( 4.25 h) = 232 milles

Answer:

Mr. Carson traveled from his house in Pennsylvania to a ski resort in upstate New York. He drove 4.25 hours at a rate of 54.6 miles per hours. When a friend asked how far he traveled to get to the resort, Mr. Carson said “about 2,320 miles.”

Mr. Carson actually traveled a distance of  

✔ 232.05 miles

.

Was Mr. Carson’s estimate reasonable?

✔ no

español:

Carson viajó desde su casa en Pensilvania a una estación de esquí en el norte del estado de Nueva York. Condujo 4,25 horas a una velocidad de 54,6 millas por hora. Cuando un amigo le preguntó qué tan lejos había viajado para llegar al resort, el Sr. Carson dijo "aproximadamente 2,320 millas".

Carson en realidad viajó una distancia de

✔ 232.05 millas

.

¿Fue razonable la estimación del Sr. Carson?

✔ no

Answer:

[tex] {x}^{2} + 9[/tex]

Step-by-step explanation:

[tex] {(x + 3)}^{2} - 6x \\ \\ = {x}^{2} + {3}^{2} + 2 \times x \times 3 - 6x \\ \\ = {x}^{2} + 9 + 6x - 6x \\ \\ = {x}^{2} + 9[/tex]

Answer:

The answer is x² + 9.

Step-by-step explanation:

First, you have to get rid of bracket of square :

[tex] {(a + b)}^{2} \: ⇒ \: {a}^{2} + 2ab + {b}^{2} [/tex]

[tex] {(x + 3)}^{2} [/tex]

[tex] = (x + 3)(x + 3)[/tex]

[tex] = {x}^{2} + 6x + 9[/tex]

Next, you can simplify :

[tex] {x}^{2} + 6x + 9 - 6x[/tex]

[tex] = {x}^{2} + 9[/tex]

Answer:

height = 6 cm

base = 12 cm

Step-by-step explanation:

Let the base of the triangle is denoted by b

Let the height of the triangle is denoted by h

We are given that base of a triangle is twice that of its height,

b = 2h

Recall that area of a triangle is given by,

A = ½×b×h

We are given that area of the triangle is 36 cm²

36 = ½×b×h

Substitute b = 2h in the above equation

36 = ½×2h×h

36 = h×h

h² = 36

h = √36

h = 6 cm

Therefore, the height of the triangle is 6 cm

b = 2h

b = 2(6)

b = 12 cm

Therefore, the base of the triangle is 12 cm

Verification:

A = ½×b×h

A = ½×12×6

A = ½×72

A = 36 cm²

Hence proved

Answer:

The equation in slope-intercept form:

[tex]y = -3x - 4[/tex]

Step-by-step explanation:

Use the point-slope formula:

[tex]y-y_{1} = m (x-x_{1})[/tex]

Use the given slope [tex]-3[/tex] and point [tex](0,-4)[/tex] for the formula:

[tex]y + 4= -3 (x-0)[/tex]

-Then, you solve the formula:

[tex]y + 4 = -3 (x-0)[/tex]

[tex]y+4 - 4 = -3 (x-0) -4[/tex]

[tex]y = -3x - 4[/tex]

The equation, which is in slope-intercept form:

[tex]y = -3x - 4[/tex]

Answer:

D. y = -3x - 4

Step-by-step explanation:

→You can figure this out by using the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y+4=-3(x-0)[/tex]

→Distribute the -3 to (x - 0):

y + 4 = -3x

→Subtract 4 from both sides:

y = -3x - 4

Answer:

1 mile.

Step-by-step explanation:

3/3 mile is equal to 1 mile.

Answer:

Joe walked his dog 1 mile.

Step-by-step explanation:

3/3 =1 mile.

Answer:

4

4

4

4

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

As you type into the calculator, you will get 0.707 :

cos(45) = √2/2

cos(45) ≈ 0.707 (3s.f)