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3 years ago

The product of 2 consecutive integers is 306

Mathematics

1 answer:

CaHeK987 [17]3 years ago

5 0

Answer:

Two consecutive positive integers are 17 and 18. Or -17 and -18.

Step-by-step explanation:

Let the consecutive integers be x and x+1

x (x+1)=306 --> x^2 + x-306=0

x^2+18x-17x-306=0

x(x+18)-17(x+18)=0

(x-17)(x+18)=0

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Please answer if u do know

PSYCHO15rus [73]

The answer is 14 because they already give you x

7 0

3 years ago

Which expression is not a perfect square trinomial?

puteri [66]

Answer:

Remember that a perfect square trinomial can be factored into the form (a+b)^2

or (a-b)^2

Examples:

(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4

(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9

(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2

Now to answer your question,

for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial

for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial

for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial

for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial

Therefore, your answer is choices 2 and 3

Read more on Brainly.com - brainly.com/question/10522355#readmore

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Justin is on a road trip. Over the past two days, he’s driven a total distance of 504 miles at an average speed of 56 miles/hour

irakobra [83]

Recall d = rt, distance = rate * time.

now, he has a speed rate of 56 mph for a distance of 504

$\bf d=rt\implies 504=56t\implies \cfrac{504}{56}=t\implies \stackrel{hours}{9}=t$

so, at that speed the whole driving time is 9 hours then. Ok, he drove 2 hours today, that means he drove 7 yesterday, 9 - 2.

how many miles is it for 7 hours at 56mph? d = rt ---> d = 56 * 7

that many miles he drove yesterday.

8 0

3 years ago

A poll agency reports that 75% of teenagers aged 12-17 own smartphones. A random sample of 234 teenagers is drawn. Round your an

GalinKa [24]

Answer:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

$X \sim Binom(n=234, p=0.75)$

And the mean for this case would be:

$E(X) =np = 234*0.75= 175.5$

And the standard deviation would be given by:

$\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624$

Step-by-step explanation:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

$X \sim Binom(n=234, p=0.75)$

And the mean for this case would be:

$E(X) =np = 234*0.75= 175.5$

And the standard deviation would be given by:

$\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624$

3 0

3 years ago

The Kuroshio Sea tank is 27m long, 35m wide and 10m deep. What is the volume of the tank? Show your

umka21 [38]

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is 27m long, 35m wide and 10m deep.

Step-by-step explanation:

The given is,

Kuroshio Sea tank is 27m long, 35m wide and 10m deep.

Step:1

Sea tank looks like a rectangular prism,

Formula to calculate the volume of rectangular prism,

$Volume, V =whl$ .............................(1)

Where, w - Width of the rectangular prism

h - Height or depth of the rectangular prism

l - Length of the rectangular prism

From given,

w = 35 meters

l = 27 meters

h = 10 meters

Equation (1) becomes,

$V = (35)(10)(27)$

$= (945)(10)$

$=9450$

Volume of the sea tank, V = 9450 Cubic meters

Result:

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is 27m long, 35m wide and 10m deep.

3 0

4 years ago