Can someone answer these asap

Answer:

2 • (g - 2) • (4g + 3)

Step-by-step explanation:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

(23g2 - 10g) - 12

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

8g2 - 10g - 12 = 2 • (4g2 - 5g - 6)

Trying to factor by splitting the middle term

3.2 Factoring 4g2 - 5g - 6

The first term is, 4g2 its coefficient is 4 .

The middle term is, -5g its coefficient is -5 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3

4g2 - 8g + 3g - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

4g • (g-2)

Add up the last 2 terms, pulling out common factors :

3 • (g-2)

Step-5 : Add up the four terms of step 4 :

(4g+3) • (g-2)

Which is the desired factorization

Final result :

2 • (g - 2) • (4g + 3)

Answer:

Answer:

15% off 212.5

30% off 175$

Step-by-step explanation:

15+15=30 so

250/100=2.5

2.5x30=75

250-75

Answer:

Step-by-step explanation:

area=π r²

=π×15²

=225 π cm²

Step-by-step explanation:

Area=Length ×Width

so take 625×235=

which is..

146875 square cm

Answer:

The results are the opposite sign of x1 and x2.

[tex]lenght \: = (x - 8) \: and \: width \: = (x - 9)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 17x + 72 = 0[/tex]

[tex]Δ = {(17)}^{2} - 4(1 \times 72)[/tex]

[tex]Δ = 289 - 288 = 1[/tex]

[tex]x1 \: and \: x2 = \frac{17± \sqrt{1}}{2} [/tex]

[tex]x1 = \frac{17 + 1}{2} = 9[/tex]

[tex]x2 = \frac{17 - 1}{2} = 8[/tex]

Answer:

(view picture)

Step-by-step explanation:

i got this from the answer section after getting it wrong the first time it’ll show the answer

.......62% is the greatest......

This is equivalent to 13 kilojoules.

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

Work Shown:

m = 65 kg = mass

v = 20 m/s = velocity

KE = kinetic energy

KE = (1/2)*m*v^2

KE = (1/2)*65*(20)^2

KE = 13000 joules

This can be written as 13 kilojoules since "kilo" means "1 thousand"

The abbreviation of the unit "joules" is the letter J.

»f(x) = (x + 2)²

»f(5) = (5 + 2)²

»f(5) = 7²

»f(5) = 49✅

~Hello! I will try to help you!

•Given : -

•To Find : -

•Step-by-step explanation : -

[tex] \Rightarrow \sf f(x) = {x}^{2} + 4x + 4[/tex]

»Just substitute the value 5 into the function f(x) above, then:-

[tex] \Rightarrow \sf f(5) = {5}^{2} + 4(5) + 4 \\ \Rightarrow \sf f(5) = 25 + 20 + 4 \\ \Rightarrow \sf f(5) = \bf49[/tex]

With this it's done!

Answer:

1.  -5 and -8

2. -7 and -4

3. -15 and -1

4. 7 and -2

5. -5 and 1

6. 2 and -5

7. -8 and 9

8. 5 and -4

Step-by-step explanation:

Answer:The slope is 2 .

Step-by-step explanation: mark branlest if right!

Answer:

1/2

Step-by-step explanation:

In the attachment below

Before doing the question, let's recall the quadratic formula which is used to find the roots of a quadratic equation ;

For any quadratic equation of the form ax² + bx + c = 0 , it's roots are given by the quadratic formula as :

Where , D = b² - 4ac (Discriminant)

Now , simplifying the equation :

[tex]{:\implies \quad \sf -3\{(x)^{2}+2^{2}-2\times 2\times x\}+17=0\quad \qquad \{\because (a-b)^{2}=a^{2}+b^{2}-2ab\}}[/tex]

[tex]{:\implies \quad \sf -3(x^{2}+4-4x)+17=0}[/tex]

[tex]{:\implies \quad \sf -3x^{2}-12+12x+17=0}[/tex]

[tex]{:\implies \quad \sf -3x^{2}+12x+5=0}[/tex]

Dividing both sides by -1 will yield :

[tex]{:\implies \quad \sf 3x^{2}-12x-5=0}[/tex]

Now , it's in the form of the standard quadratic equation , where a = 3 , b = -12 , c = 5 , and D = (-12)² - 4 × 3 × -5 = 144+60 = 204

Now, By quadratic Formula ;

[tex]{:\implies \quad \sf x=\dfrac{-(-12)\pm \sqrt{204}}{2\times 3}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{12\pm 2\sqrt{51}}{2\times 3}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{\cancel{2}(6\pm \sqrt{51})}{\cancel{2}\times 3}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{6\pm \sqrt{51}}{3}}}}[/tex]

Answer:

D . (486 – 9 + 6) + (33 × 2)

Step-by-step explanation:

Which expression is equivalent to 486 – 9 + 6 + 33 × 2?

486 – 9 + 6 + 33 × 2

486 – 9 + 6 + 66

477 + 6 + 66

549

D . (486 – 9 + 6) + (33 × 2)

      477 + 6 + 66

               549

Hope this helps!

Answer:

$28.89

Step-by-step explanation:

[tex]398.5\times7.25[/tex]%

Calculate
[tex]398.5\times0.0725[/tex]

Calculate the product or quotient

[tex]28.89125[/tex]

I hope this helps you

:)

Answer: A

Step-by-step explanation:

The triangles are similar by AA. Angles BPA and CPD are congruent because they are vertical angles, and angles ABP and CDP are congruent because all right angles are congruent.

Answer:

Step-by-step explanation:

The area of the larger rectangle is (4)(5)=20.

The area of the top left right triangle is (1/2)(2)(5)=5.

The area of the top right right triangle is (1/2)(2)(1)=1.

The area of the bottom right triangle is (1/2)(4)(4)=8.

So A = 20 - 5 - 1 - 8 = 15 - 9 = 6.

Answer:

N=20

Step-by-step explanation:

Answer:

3(4+5)

Step-by-step explanation:

just fill in the numbers for x and y

Answer:

3(x + y)

x = 4 y = 5

3(4 + 5)

12 + 15

= 27

Step-by-step explanation:

A translation followed by a reflection

Answer:

B

Step-by-step explanation:

Simply choose an x coordinate and plug it into the equations from the choices given.

i.e. where x=1

y=2(1)^2 - 4(1)

y= 2-4

y= -2

it can then be seen that where x=1 on the graph, y= -2 aligns perfectly

Answer:

B

Step-by-step explanation:

In y = 2x^2-4x, we put y = 0 to represent the intersection points on the x-axis of the graph. (Since y = 0 is always on the x-axis)

For 2x^2-4x = 0, using the quadratic formula, we get x = 0 and x = 2.

This matches the int. points on the graph.

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

Answer:

Step-by-step explanation:

B = 180 - 50 - 35 = 115 degrees

By the law of sines,

[tex]c=\frac{13\sin 35^{\circ}}{\sin 115^{\crc}}[/tex]

And [tex]a=\frac{13\sin 50^{\circ}}{\sin 115^{\circ}}[/tex]

Answer:

B=95 a= 10 c= 7.5

Answer:

-7

Step-by-step explanation:

-9x-3=60

add 3 to each side to cancel -3

-9x-3+3=60+3

simplify

-9x=63

divide by -9 to cancel the -9

-9x/-9=63/-9

simplify

x=-7

Answer:

Step-by-step explanation:

1. (A) 96:38, 38:96, 96/38

(B) The two ratios are the same as they represent the same thing just reversed

2(A) 38:46

(B)  The simplest form means that you must simplify it and you get 19: 23

3 (A) For every 1 documentary movie there is 2 comedy movie

(B)For every3 kid movie, there is 4 horror movie

hope that helps, sorry for the simplified answers as I am in a bit of a rush too

»f(x) = (9 + 2x)²

»f(2) = (9 + 2(2))²

»f(2) = (9 + 4)²

»f(2) = 13²

»f(2) = 169✅

[tex]\\ \rm\hookrightarrow f(x)=(9+2x)^2[/tex]

f(2):-

put 2 inplace of x

[tex]\\ \rm\hookrightarrow (9+2(2))^2[/tex]

[tex]\\ \rm\hookrightarrow (9+4)^2[/tex]

[tex]\\ \rm\hookrightarrow 13^2[/tex]

[tex]\\ \rm\hookrightarrow 169[/tex]