Write the equation of the graph shown below in factored form.

f(x) = (x − 2)2(x + 1)(x − 4)
f(x) = (x + 2)2(x − 1)(x + 4)
f(x) = (x + 2)2(x + 1)(x + 4)
f(x) = (x − 2)2(x − 1)(x − 4)

Answer:

see explanation

Step-by-step explanation:

Since PQ = PR , that is congruent legs of the triangle, then

Δ PQR is isosceles

Since ∠ QSR = 90° , then

Δ QSR is right angled

Answer:

1) x= 7 and y =2

Step-by-step explanation:

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Answer:

x =7

y =2

eqn 1 - eqn2

5x-2x=3x

3y-3y=0

41-20=21

3x=21

x=7

in eqn 1;

5×7)+3y=41

35+3y=41

3y=6

y=2

Based on the diagram, there are 8 triangles in total

A triangle is a polygon with three sides and three angles.

Therefore, there are 8 triangles in the diagram.

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Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

Answer:

e. is incorrect

sin (x)= f/e

Answer:

x=2

Step-by-step explanation:

We can use the Pythagorean theorem since this makes a right triangle

a^2+b^2 = c^2

The radius is 1.5

1.5^2 + x^2 = (1+1.5)^2

1.5^2 +x^2 = 2.5^2

2.25+x^2=6.25

Subtract 2.25 from each side

x^2 = 4

Taking the square root of each side

x= 2

Answer:A

Step-by-step explanation:Took quiz

Answer:

3.24 kg

Step-by-step explanation:

internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs

external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs

Vol of thickness = 8160 - 7080 = 1080cm^3

Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg

2 figures - 7.3

3 figures - 7.35

4 figures - 7.348

Answer:

Step-by-step explanation:

You need to find the model for this situation using the points given. If you are given 13 mg immediately, the coordinate point for that is (0, 13), where the x coordinate is the time in minutes and the y coordinate is the amount of dye in mg.

If after 12 minutes, 4.75 mg remain, the coordinate point for that is (12, 4.75). Just so you know, the time unit always goes in for x, never for y.

Now that we have these coordinates we are going to use them as a system and find the model. Begin with the point (0, 13) in

[tex]A=a(b)^t[/tex] where A is the amount left in the body, a is the initial amount injected, b is the rate at which it decays, and t is the time in minutes. Plug in the first set of coordinates:

[tex]13=a(b)^0[/tex] and since anything raised to the power of 0 is equal to 1, we have

13 = a. Now we can use that and write another equation with the other set of coordinates to solve for b:

[tex]4.75=13(b)^{12}[/tex] and divide both sides by 13 (don't round anything yet) to get

.3653846154 = b¹². Now take the 12th root of both sides (you need a scientific calculator for this) to get that

b = .9195228407  Yikes.

Now for the model, using the fact that a = 13 and b = .9195228407:

[tex]A=13(.9195228407)^t[/tex]  

We are told that the amount that we are allowed to leave with still remaining in our system cannot be more than 2 mg, so we sub in a 2 for A:

[tex]2=13(.9195228407)^t[/tex] and begin by dividing away 13 to get

[tex].1538461538=.9195228407^t[/tex]  Take the natural log of both sides, which allows us to bring the t out front:

ln(.1538461538) = t ln(.9195228407) and finally divide by ln(.9195228407) to get

t = 22.3 minutes

Answer:

3:15 hours

Step-by-step explanation:

i don't know I just took the test

Answer:

4.75 or 4 3/4

Step-by-step explanation:

rate = distance/time

Multiply both sides by time:

time * rate = distance

Divide both sides by rate:

time = distance/rate

We are given:

distance = 76 km

rate = 16 km/h

time = ?

time = distance/rate

time = 76 km/(16 km/h)

time = 4.75 h = 4 3/4 h

The remainder theorem says that dividing a polynomial f(x) by a 1st-degree polynomial g(x) = x - c leaves a remainder of exactly f(c).

(a) With f(x) = px ³ + 4x - 10 and d(x) = x + 3, we have a remainder of 5, so

f (-3) = p (-3)³ + 4(-3) - 10 = 5

Solve for p :

-27p - 12 - 10 = 5

-27p = 27

p = -1

(b) With f(x) = x + 3x ² - px + 4 and d(x) = x - 2, we have remainder 8, so

f (2) = 2 + 3(2)² - 2p + 4 = 8

-2p = -10

p = 5

(you should make sure that f(x) was written correctly, it's a bit odd that there are two x terms)

(c) f(x) = 2x ³ - 4x ² + 6x - p, d(x) = x - 2, R = f (2) = 18

f (2) = 2(2)³ - 4(2)² + 6(2) - p = 18

12 - p = 18

p = -6

The others are done in the same fashion. You would find

(d) p = 14

(e) p = -4359

(f) p = 10

(g) p = -13/2 … … assuming you meant f(x) = x ⁴ + x ³ + px ² + x + 20

Answer:

It is 36

Step-by-step explanation:

minus × minus equals + so its 36

Answer:

36

Step-by-step explanation:

(-4) is -4

then

(-9) then 36

Answer:

4/3 inches, or 1.33333 inches

Step-by-step explanation:

In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*

* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same

numerator = top part of the fraction

denominator = bottom part of the fraction

* means multiply

a.

you can only add the numerator when the denominator is the same

cant add the denominator

denominator has to be the same

1/5 = 4/20

4/20 + 7/20 = 11/20

b.

1 7/8 = 15/8

3/4 ÷ 15/8 =

3/4 * 8/15 =

24/60 = divide both top and bottom by 12 =

2/5

Step-by-step explanation:

a)1/5+ 7/20

1.find the CM of both denominators

2.multiply both the denominator and the numerator using the CM

=(1/5)×20 +(7/20)

=20/100 +35/100

since you multiply

3.Now add both numerators ( don't add the denominators)

=the answer is 55/100

Answer:

$250

Step-by-step explanation:

the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250

Answer:

x +10 = 2x-50

x-2x = -50-10

-x. = -60

-x/-1 = -60/-1

x = 60°

Step-by-step explanation:

150=45

150 -25=x

:150=45

125=x

cross multiply

150x/150=5625/150

x=38 days

Answer:

length = 11 ft

breathe = 5 ft

perimeter of rectangle = lxb

= 11ft x 5ft

= 55 ft

the answer is 55 ft

Answer:

Perimeter of rectangle = 2(l+b)

=2(11+5)

=2x16=32ft

Answer:

The volume is 245 m^2

Step-by-step explanation:

the volume formula is aways base time height, or V = bh

so plot the number in, 35 x 7 = 245

Answer:

Probably the first three answers

Step-by-step explanation:

The rest are

4) 3×5=15 (which is not 8)

5) 6×2=12 (≠8)

So it's just the first three

Answer:

3          12

------ = ---------

1           4

Step-by-step explanation:

We need to keep the relationship in the same order

3 ft         12 ft

------ = ---------

1 yd           4 yds

3          12

------ = ---------

1           4

Answer:

the answer is B

Step-by-step explanation:

Answer:

3x=50-10y

Got it right on edge

The correct equation to find the number of each type of weight Bob has,

⇒ 3x = 50 - 10y

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb.

Let x represents the number of 3 lb weights and y represents the number of 10 lb weights.

Hence, The correct equation to find the number of each type of weight Bob has,

⇒ 3x + 10y = 50

⇒ 3x = 50 - 10y

Thus, The correct equation to find the number of each type of weight Bob has,

⇒ 3x = 50 - 10y

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Answer:

no A

Step-by-step explanation:

sqrt13 is the ans

hope it helps

Step-by-step explanation:

its round is 200.0000 .

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Answer:

$191

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

first year's work is 1/6

second year's work is 1/8

third year's work is 1/12

combining all 3 gives us

1/6 + 1/8 + 1/12

which simplifies to 3/8

Answer:

x = 1

Step-by-step explanation:

6x - 9 = 2x - 5

Move variables to one side

6x - 9 = 2x - 5

-2x       -2x

4x - 9 = - 5

Isolate variable

4x - 9 = - 5

    + 9    +9

4x = 4

4x/4 = 4/4

x = 1

Answer:

a.[tex]\frac{x+10}{5} = 9.5[/tex]

b. $37.50

Step-by-step explanation:

To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: [tex]\frac{x+10}{5}[/tex]. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

[tex]9.5 = \frac{x+10}{5}[/tex]

Now, we can solve.

First, we can multiply by 5 on both sides to get:

47.5 = x + 10

And then subtract 10:

x = 37.5

This means the bill before the tip was $37.50