Are these two quadratic expressions
equivalent? Explain.
(x+3)(x-4)
x2 + 7x - 12

Answer:

1 hour

Step-by-step explanation:

It would take that long because they work together, at 4 hours Ryan's 3 are subtracted and the result would be 1 hour. This is because while one of us makes the errors in the first or second paragraph, the other is checking the next and thus they finish faster.

If they worked together they can finish the given task in [tex]\frac{7}{12}[/tex] hours.

Given that, Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it takes 3 hours.

We need to find how long would it take if they worked together.

Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.

Now, the work done by Leeson [tex]=\frac{1}{4}[/tex] and the work done by Ryan [tex]=\frac{1}{3}[/tex]

So, work done by both together [tex]=\frac{1}{4}+\frac{1}{3}=\frac{3+4}{12}=\frac{7}{12}[/tex] hours.

Therefore, if they worked together they can finish the given task in [tex]\frac{7}{12}[/tex] hours.

To learn more about work and time questions visit:

https://brainly.com/question/9050411.

#SPJ2

Answer:

x=2

Step-by-step explanation:

(8x+11)+(14x-1)=54=> 22x +10=54=>22x=44=>x=2

Answer:

i think its 7

could be wrong tho

Step-by-step explanation:

The length of QR is required.

The length of QR is 6.71 inches.

From the figure it can be determined that

[tex]RP=NR=3\ \text{inches}[/tex]  (Radius)

[tex]RP=NP=6\ \text{inches}[/tex] (MNPQ is a square)

From the Pythagoras theorem we get

[tex]QR=\sqrt{RP^2+QP^2}\\\Rightarrow QR=\sqrt{3^2+6^2}\\\Rightarrow QR=6.71\ \text{inches}[/tex]

Learn more about geometry:

https://brainly.com/question/24375372

Answer:

x > -1

Step-by-step explanation:

p = (f o g)(x) = log ((x+4)-3)

p = log (x+1)

so that p has a value,

the value of x + 1 mus be greater than 0

x + 1 > 0

x > -1

so the domain is x > -1

Domain = {x | x > -1, x must real number}

Answer:

B

Step-by-step explanation:

supplementary angles =180 degrees

180-117=63

Answer:

Uhh you got it right already

Step-by-step explanation:

Answer:

The top question is 17/15 or 1 2/15 but I dont get the second part

Step-by-step explanation:

To get my answer I first found a common denominator and multiplied each fraction to fit it, then I added the fractions and got 17/15, next I turned it into a mixed fraction by dividing 17 by 15 and I got 1 2/15 which cannot be simplified.

Answer:

3 7/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

improper fraction you take the whole number, multiply it by the denominator and add the numerator. That number goes on top and you keep the denominator the sam.

2 1/2 in an improper fraction is 5/2

1 3/8 in an improper fraction is 11/8

keep change flip

keep the first fraction

change multiplication to division and flip the second fraction

5/2 x 11/8

5/2 divided by 8/11

answer is 3 7/16

The function that has a remainder of 18 when divided by ( x-2 ) is
f ( x ) = 2x⁴ + 4x² - 10x - 10

What is a polynomial function?

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Given data ,

The divisor = ( x - 2 )

The remainder = 18

The function will be f( x ) = 2x⁴ + 4x² - 10x - 10

Step 1 :

Divide f ( x ) by ( x-2 ) = [tex]\frac{2x^4+4x^2-10x-10}{x-2}[/tex]

=

[tex]2x^3+\frac{4x^3+4x^2-10x-10}{x-2}[/tex]

Step 2 :

Divide  [tex]\frac{4x^3+4x^2-10x-10}{x-2}[/tex]

=

[tex]2x^3+4x^2+\frac{12x^2-10x-10}{x-2}[/tex]

Step 3 :

Divide  [tex]\frac{12x^2-10x-10}{x-2}[/tex]

=

[tex]2x^3+4x^2+12x+\frac{14x-10}{x-2}[/tex]

Step 4 :

Divide  [tex]\frac{14x-10}{x-2}[/tex]

=

[tex]2x^3+4x^2+12x+14+\frac{18}{x-2}[/tex]

The remainder is 18 at the end of step 4

Hence , the function that has a remainder of 18 when divided by ( x-2 ) is
f ( x ) = 2x⁴ + 4x² - 10x - 10

To learn more about fractions click :

https://brainly.com/question/2929160

#SPJ2

Answer:

34 degrees

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Isolate the variable y in each equation

A.

y + 2.9 = 8

To isolate y, subtract both sides by 2.9

y = 5.1

This equation has y = 5.1

Let's check the other equations just to get a better understanding of how to do it

B.

y - 11 = 5.1

To isolate y, add both sides by 11

y = 16.1

This equation does not have y = 5.1

C.

y + 4.2 = 5.2

To isolate y, subtract both sides by 4.2

y = 1

This equation does not have y = 5.1

D.

24 - y = 19.2

To isolate y, subtract both sides by 24

-y = -4.8

To isolate y, divide both sides by -1

y = 4.8

This equation does not have y = 5.1

Answer:

A

Step-by-step explanation:

Y+2.9=8

8-2.9= 5.1

Y=5.1

Answer:

Ram studied for longer time

Step-by-step explanation:

An hour = 60 minutes

Raj studied for 4/7 of an hour

= 4/7 of 60 minutes

= 4/7 × 60

= (4×60)/7

= 240/7

= 24.29 minutes

ram studied for 5/8 of an hour

= 5/8 of 60 minutes

= 5/8 × 60

= (5×60)/8

= 300/8

= 37.5 minutes

who studied for longer time?

Ram - Raj

= 37.5 - 24.29

= 13.21 minutes

Ram studied for longer time

Ram studied 13.21 minutes longer than Raj

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}[/tex]

Therefore, we have;

[tex]\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}[/tex]

[tex]\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}[/tex]

[tex]sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi[/tex]

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

Answer:

9/10

Step-by-step explanation:

First, 1 1/2 as a improper fraction is 3/2

Second, 3/2 x 3/5 = 9/10

Third, you need to do 9/10 x 2 since there are two earings which equals 18/10.

Fourth, 18/10 divided by 2 = 9/10 which means that the area of both earrings is 9/10

Hope this helps!

Answer:

2 13/16 or 2.8125

Step-by-step explanation:

What I did is 90/32 and then solved that.

Answer:

Ang mga pag-aalsa ng isinagawa ng mga pilipino laban sa mga patakarang ipinatupad ng espanyol ay naging matagumpay

Answer:

the answers are -1, 0, 3, and 5

Step-by-step explanation:

Answer:

I mean it kind of speaks for itself

Step-by-step explanation:

8 divided by 1/5 is the same thing as 8 multiplied by 5

Answer:

Step-by-step explanation:

percent means p/100

p/100=16/(16+24)

p/100=16/40

p=100(16)/40

p=1600/40

p=40%

Answer:

40

Step-by-step explanation:

first find total theater cast:40

then set up a proportion:

16/40 = x/100

cross multiply 16 and 100

1600

then divide by 40

40

Answer:

B. 13√3

Step-by-step explanation:

Apply pythagorean theorem:

Thus, we have:

x² = (12√3)² + (5√3)²

x² = 432 + 75

x² = 507

x = √507

x = 13√3

Answer:

No

Step-by-step explanation:

Answer: No it is not

Step-by-step explanation:

Answer:

81.64

that's the answer

Answer: 41

Step-by-step explanation: the hypotenuse is always the longest side of a right triangle!

Answer:

41

Step-by-step explanation:

the hypotenuse is the longest side always

Answer:

Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller.

Step-by-step explanation: I think so

Answer:

yeah it si correct

Step-by-step explanation:

4x-5x²+6x³/2x=4x-5x²+3x²=4x-2x²

therefore the degree of the following polynomial is 2

Answer:

126.5 cm

Step-by-step explanation:

First, find the area of the rectangular shape at the bottom.(think of this as 2 separate shapes then add their areas together to find the final area)

11x8=88 cm

Next, find the area of the triangle.

Area of triangle = base x height /2

11x7=77

77/2=38.5

88+38.5=126.5 cm

Answer:

1498

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) There are 850 total teens and 32% like rock.

32% of 850 = 0.32*850 = 272 teens like rock

B) 75% of teens = 150 teens. Make total teens = x. 75%x = 150

0.75x = 150

x = 200 teens like pop

C) well...

There are 50 students who bike to school every day and there are 200 students who walk to school every day. According to this information, the number of students who walk to school is 300% more than those who bike to school.

*I hope the last one is what you were looking for... if not, tell me in comments*