Determine the factors of x^2 - 7x - 10.
O (x + 2)(x - 5)
O Prime
O (x-2)(x + 5)
O (x + 10)(x - 1)

Answer:

y(x)=12*(5)^x

Step-by-step explanation:

y=ab^x, y(0)=12. 12=a.

y=12*b^x, y(2)=300. 12*b^2=300. b^2=25. b=5

Answer:

y=-3x

Step-by-step explanation:

3>2. It doesn't matter if some or all of the numbers are negative.

Answer:  y = -3x has the steeper slope

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

Explanation:

Any linear equation is of the form y = mx+b, where m is the slope.

For y = -2x, the slope is -2. For y = -3x, the slope is -3.

We just look at the number to the left of x to find the slope.

To figure out which slope is steeper, we simply look to see which slope value is furthest from 0 on the number line. A slope of 0 itself is completely horizontal and flat. As the slope value moves away from zero, in either positive or negative direction, then the slope gets steeper and steeper.

In short, a slope of -3 is more steep compared to a slope of -2. Therefore, y = -3x is the answer.

The graph below helps visually confirm that y = -3x is indeed steeper. We drop one extra unit down each time we move to the right one space.

Answer:

Step-by-step explanation:

Answer:

Your last step ( step 5 ) :

[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{c}{a} + \frac{ {b}^{2} }{4 {a}^{2} } [/tex]

Step 6:

[tex]{ \boxed{x + ( \frac{b}{2a}) = ± \frac{ \sqrt{ {b}^{2} - 4ac } }{ \sqrt{4a^2} } }}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{4ac}{4 {a}^{2} } + \frac{ {b}^{2} }{4 {a}^{2} } \\ \\ {x}^{2} + \frac{b}{a} x = \frac{4ac}{4a {}^{2} } \\ \\ {x} = \sqrt{ \frac{ - 4ac + b {}^{2} }{4a {}^{2} } } [/tex]

.,............. ..... ..nnkkjk

Answer:

See below.

Step-by-step explanation:

1.) 5√6

2.) 6√2

3.) 3√7

To solve this without the use of a calculator, split the given number into a series of products (numbers multiplied) and look for pairs.

Look at the attached example of Problem 1 to get a better idea of what I mean.

Answer:

No. of children Frequency

0. 5

1. 7

2. 11

3. 5

4. 6

5 3

6 3

Answer:

n means number

Step-by-step explanation:

Answer:

The value of n is 54......

Answer:

$40.5

Step-by-step explanation

10% comes from selling biscuit:$ 9

remaining money: $81

50% of the remaining money comes from chocolate cakes: 81*50%=$40.5

Answer:

.1273 mi = 627.2 feet

c = 2[tex]\pi[/tex]r

.4 = 2[tex]\pi[/tex]r

r = [tex]\frac{.4}{2\pi }[/tex]

r = [tex]\frac{.2}{\pi }[/tex]

d = [tex]\frac{.4}{\pi }[/tex]

d = .1273 mi = 627.2 feet

Step-by-step explanation:

Answer:  2 goes in the box

The solid boundary line equation is y = 2. The shaded region consists of this line and everything below it, which is describing [tex]y \le 2[/tex]. So y can be 2 or it can be smaller than 2.

Answer:

Round 874.902237102

874.9

Rounded to the nearest  Tenths Place.

hope this would help

Answer:

q = -2

Step-by-step explanation:

-18q + 10q + 16q - 3 = -19

~Combine like terms

8q - 3 = -19

~Add 3 to both sides

8q = -16

~Divide 8 to both sides

q = -2

Best of Luck!

9514 1404 393

Answer:

  33 11/16 m² = 33.6875 m²

Step-by-step explanation:

The volume of a prism is given by ...

  V = Bh

where B is the area of the base, and h is the height. Solving for B, we find ...

  B = V/h

  B = (539 m³)/(16 m) = 33 11/16 m² = 33.6875 m²

Your Answer Is in this attachment.

Answer:

D-212 Degrees

Step-by-step explanation

i got it right on edge

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = [tex]3^{x}[/tex] , then

f(x + 1) = [tex]3^{x+1}[/tex] = [tex]3^{x}[/tex] × 3

Then

f(x) + f(x + 1)

= [tex]3^{x}[/tex] + 3. [tex]3^{x}[/tex] ← factor out [tex]3^{x}[/tex] from each term

= [tex]3^{x}[/tex] (1 + 3)

= 4. [tex]3^{x}[/tex]

= 4f(x)

Answer:

y = -x + 4

Step-by-step explanation:

(x₁,y₁)= (5, - 1)    & (x₂,y₂)= (2 , 2)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]\frac{2-[-1]}{2-5}\\\\=\frac{2+1}{-3}\\\\=\frac{3}{-3}\\\\= -1[/tex]

m = -1

Equation of the line y - y₁ = m(x - x₁)

y  - [-1] = (-1)*(x - 5)

y + 1 = -x + 5      {-1 is distributed}

y = -x + 5 - 1

y = -x + 4

Answer:

The answer is below

Step-by-step explanation:

There are multiply answers, I am pretty these are the answers

7.55

7.56

7.57

7.58

7.59

Step-by-step explanation:

The decimal can be from 7.55-7.64

When the range of the decimal is from 1-4, 5-9 during rounding it then the value will change to 7.6

Like 7.64, 7.63,7.62,7.61 will be rounded off to 7.6

And 7.55,7.56,7.57,7.58,7.59 will be rounded off to 7.6 too

please click thanks and mark brainliest if you like :)

I can only give you the answer

Answer:

Hello,

Answer A

Step-by-step explanation:

See jointed file:  Methode du compagnon

Answer:

[tex]\huge\boxed{\sf \left[\begin{array}{ccc}-9&0&3\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]\sf = \left[\begin{array}{ccc}-6&-2&2\end{array}\right] + \left[\begin{array}{ccc}-3&2&1\end{array}\right] \\\\= \left[\begin{array}{ccc}-6+(-3)&-2+2&2+1\end{array}\right] \\\\= \left[\begin{array}{ccc}-6-3&0&3\end{array}\right] \\\\= \left[\begin{array}{ccc}-9&0&3\end{array}\right] \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The answer is A: 120yd^2

Step-by-step explanation:

Volume = Width x length x height

Volume = 8 x 3 x 5

Volume = 120

Answer:

120

Step-by-step explanation:

8*3*5

Both vertex angles will be same as its an isosceles triangle

Let each be x

According to angle sum property

[tex]\\ \sf \longmapsto x+x+50=180[/tex]

[tex]\\ \sf \longmapsto 2x+50=180[/tex]

[tex]\\ \sf \longmapsto 2x=180-50[/tex]

[tex]\\ \sf \longmapsto 2x=130[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{130}{2}[/tex]

[tex]\\ \sf \longmapsto x=60°[/tex]

Notice that

(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9

… = sin²(θ) + cos²(θ)

… = 1

Solve for y in terms of x :

(x - 1)²/4 + (y + 2)²/9 = 1

(y + 2)²/9 = 1 - (x - 1)²/4

(y + 2)² = 9 - 9/4 (x - 1)²

y + 2 = ± √(9 - 9/4 (x - 1)²)

y + 2 = ± 3/2 √(4 - (x - 1)²)

y = -2 ± 3/2 √(4 - (x - 1)²)

In order for the square root to be defined, one needs

4 - (x - 1)² ≥ 0

(x - 1)² ≤ 4

-2 ≤ x - 1 ≤ 2

-1 ≤ x ≤ 3

so x must belong to the interval [-1, 3].

Answer:

162/9 = 18 minutes

Step-by-step explanation:

Answer:

2304 cubic inches

Step-by-step explanation:

Volume = Width x length x height

Green cube:

[tex]12*12*6=864[/tex]

Blue cube:

[tex]10*18*8=1440[/tex]

Add them together:

[tex]1440+864=2304[/tex]

Answer:

here's your answer .Hope you will understand it.

Answer:

9

Step-by-step explanation:

hope it will help good day.

9514 1404 393

Answer:

  a) $554

  b) y = 138.50x

  c) see attached

Step-by-step explanation:

a) The cost is the product of the number of hours and the cost per hour.

  cost = (4 h)($138.50 /h) = $554.00 . . . . for a 4-hour course

__

b) As above, the cost (y) is the product of the number of hours (x) and the cost per hour ($138.50).

  y = 138.50x . . . . tuition for x credit hours.

__

c) As in part (b), the tuition is hours times 138.50. That means hours are tuition divided by 138.50.

Answer:

big area/small area = (big length/small length)^2

24/small area = (6/3)^2

24/sa = 4

sa= 6