Find the factors of f(x) given that x = −3 is a zero.
f(x) = x^3 + 12x^2 + 47x + 60
(x + 3)(x + 4)(x − 5)
(x + 3)(x + 4)(x + 5)
(x − 3)(x + 5)(x + 6)
(x + 3)(x + 3)(x − 3)

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

Answer:

[tex]80. \bar{75}[/tex]

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

»ANSWER«

(1) Write properties of function:

x intercept/zero:

[tex] x_{1} = \frac{3}{4} [/tex]

y intercept:

[tex]y = - 12[/tex]

domain:

[tex]( - \infty \: \infty )[/tex]

type of function: cubic fraction

standard form:

[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 16x - 12[/tex]

factorize form:

[tex]f(x) = (4x - 3)( {x}^{2} + 4)[/tex]

even/odd/neither: neither

bounce/cross x axis:

[tex]x = \frac{3}{4} \: across[/tex]

increasing interval:

[tex]( - \infty \: \infty )[/tex]

decreasing interval: no

number of positive real zeros: 1

number of possible turning point: 2

order/degree: 3

leading term:

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

leading coefficent: 4

constant term: -12

end behavior:

[tex]as \: x \: → \infty f(x) → \infty \: as \: x → - \infty f(x) → - \infty [/tex]

#CarryOnLearning

ok done. Thank to me :>

Answer:

C. 1 to 4

Step-by-step explanation:

The ratio is used to describe situations like "for how many x's, there are many y's". In this case, we are trying to find the ratio for A baskets scored to B baskets scored, team A scores one basket, then team B will score 4 baskets. Then we can write the ratio of A to B as 1:4, which is 1 to 4.

Hope I did this correctly since it was long ago that I lastly worked with ratios

Answer:

(i) In △ABD and △ACD,

AB=AC ....(since △ABC is isosceles)

AD=AD ....(common side)

BD=DC ....(since △BDC is isosceles)

ΔABD≅ΔACD .....SSS test of congruence,

∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)

(ii) In △ABP and △ACP,

AB=AC ...(since △ABC is isosceles)

AP=AP ...(common side)

∠BAP=∠PAC ....from (i)

△ABP≅△ACP .... SAS test of congruence

∴BP=PC ...[c.s.c.t].....(ii)

∠APB=∠APC ....c.a.c.t.

(iii) Since △ABD≅△ACD

∠BAD=∠CAD ....from (i)

So, AD bisects ∠A

i.e. AP bisects∠A.....(iii)

In △BDP and △CDP,

DP=DP ...common side

BP=PC ...from (ii)

BD=CD ...(since △BDC is isosceles)

△BDP≅△CDP ....SSS test of congruence

∴∠BDP=∠CDP ....c.a.c.t.

∴ DP bisects∠D

So, AP bisects ∠D ....(iv)

From (iii) and (iv),

AP bisects ∠A as well as ∠D.

(iv) We know that

∠APB+∠APC=180

∘

....(angles in linear pair)

Also, ∠APB=∠APC ...from (ii)

∴∠APB=∠APC=

2

180

∘

=90

∘

BP=PC and ∠APB=∠APC=90

∘

Hence, AP is perpendicular bisector of

Step-by-step explanation:

HOPE ITS HELP YOU

Step-by-step explanation:

Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = [tex]\sqrt{(AB+BH)^2+CH^2}.[/tex] By inserting all the values you'll get the result.

Answer:

(- 1, 1 )

Step-by-step explanation:

5x - 15y = - 20 → (1)

5x - 4y = - 9 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the x- term

- 5x + 4y = 9 → (3)

Add (1) and (3) term by term to eliminate x

0 - 11y = - 11

- 11y = - 11 ( divide both sides by - 11 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

5x - 15(1) = - 20

5x - 15 = - 20 ( add 15 to both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

solution is (- 1, 1 )

[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]

Answer:

Angle U is 65°.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

2/3 - (-2/3)

=0.66 - (-0.66)

=0.66+0.66

= 1.32

Answer:

x= 2597/335

Step-by-step explanation:

collect like terms

2.4x-9.1x= -6.7x

-39.44-12.5 = -51.94

-6.7x=-51.94

divide both sides by -6.7

x= 2597/335

Answer:

D. –5.2 + (–6.4) = –11.6

Step-by-step explanation:

First, you can eliminate A and C because 5.2 is positive. Since the red arrow is pointing left, it indicates that the number (-5.2) is negative.

Then, you look at the second arrow, the green one. It is pointing left, so it would be -6.4.

I hope this helps :)

Answer:

85 because if you do the math

Answer:

  4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

Additional comment

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

  c² = a² +b² . . . square of hypotenuse is sum of squares of legs

  c² = 1² +1² . . . . both legs are 1 in our example triangle

  c² = 2

  c = √2

That is, the hypotenuse is √2 times the leg length.

Answer:

Number of chairs = 24

Number of stools = 12

As about the question number 2, I think you should check whether the question you copied is correct are not.

Step-by-step explanation:

1. One person,

Three hours for a chair and two hours for a stool

Therefore, 12 people working for 8 hours;

Per person produced two chairs and one stool as 3+3+2=8 hours

12×2= 24 chairs and 12×1=12 stools.

Answer:

10 eggs for 40 dozens

Step-by-step explanation:

40÷8=5

5*2=10

Our created proportion is 8:2::40:x

Therefore, for 40 dozen cookies, 10 eggs are required.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Your calculation is correct, but I'd answer 33.0 in.

Step-by-step explanation:

You are correct. Good job.

Answer:

I'm 96% sure its right, and those are pretty good odds ^^

Answer:

it is c

Step-by-step explanation:

Answer:

3.636 hour. dividing 200miles /55m/h =3.636h

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 36'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

[tex]\huge\boxed{\sf x = 26}[/tex]

Step-by-step explanation:

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

x=26

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

Hope this helped!

Answer:

Area is 5 cm and perimeter is 12 cm

Step-by-step explanation:

Area: top left sqare:

1cm * 1cm = 1 cm

bottom rectangle:

1cm * 3 cm = 3 cm

top right square:

1cm * 1cm = 1 cm

Perimeter:

1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm  = 12 cm

Answer:

The answer is 27%, 6/22, and 3/11.

Pls mark brainliest. :D

Answer:

( x + 1 ) ^ 3

Step-by-step explanation:

f(x) = 3√x - 1

replace x with y

x = 3√y - 1

solve for y,

x = 3√y - 1

x^3 + 3x^2 + 3x + 1 = (x+1)^3

HOPE THIS HELPS :)

Answer:

See image

Step-by-step explanation:

I'm guessing a little bit, bc although you attached an image, it doesn't say what you are trying to prove, nor what you are given. Usually that is provided for a proof.

But we can see that the parallel segments are marked, so we'll call that the given information. Then there are actually two pairs of corresponding angles that are congruent by the Corresponding Angles postulate. But we only need one pair. Then Angle A is congruent to itself by Reflexive Property. Finally what we have proven is that the two triangles ABC and ART are similar by AA

Answer: C) 2200

Step-by-step explanation: