whats -3u + 5 if u=2​

Answer:

n=6 , n=-2

Step-by-step explanation:

[tex]n^{2}-4n-12=0[/tex]

Factorise to give:

[tex](n-6)(n+2)[/tex]

Set first one to equal 0:

[tex]n-6=0[/tex]

[tex]n=6[/tex]

Set second one to equal 0:

[tex]n+2=0[/tex]

[tex]n=-2[/tex]

Reason for 2 solutions:

All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.

The solution(s) is the point where the graph crosses the x-axis

The image below shows the graph of the equation:

[tex]n^{2}-4n-12[/tex]

When y=0:

It intercepts the x-axis at 6 and -2 giving why n has 2 solutions

Answer:

30 to 75, 30/75, 30:75

Step-by-step explanation:

Answer:

what is the figure i  can kindly help if the figure was there i will edit this message and give the answer after i see the figure

S = √2+√8+√18+√32+……………… n terms.

or, S = √2 + 2√2 +3√2 +4√2.+………………….+ n terms.

This is an A.P. in which a = √2. , d = √2.

Sn = n/2.[2.a +(n-1).d].

or, Sn = n/2.[ 2√2 +(n-1).√2].

or, Sn = (n/2).√2.[ 2 +n-1].

or, Sn = n.(n+1)/√2. Answer.

Given AP :√2,√8,√18,√32,...

First term = √2

Common difference = √8-√2

⇛ √(2×2×2)-√2

⇛ 2√2-√2

⇛√2

We know that

Sum of first n terms of an AP

⇛ Sn = (n/2)[2a+(n-1)d]

⇛ Sn = (n/2)[2√2+(n-1)(√2)]

⇛ Sn = (n/2)[2√2+√2 n -√2]

⇛ Sn = (n/2)[√2 n +√2)

⇛ Sn = (n/2)×(√2)(n+1)

⇛Sn = (n/√2)(n+1)

⇛ Sn = n(n+1)/√2

Additional comment:

nth term of an AP = a+(n-1)d

Sum of first n terms of an AP

Sn = (n/2)[2a+(n-1)d]

Sum of the first n terms = Sn =

(n/2)(a+an)

If a,b,c are the three consecutive terms in an AP then b = (a+c)/2

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The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap

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Answer:

63 feet

Step-by-step explanation:

perimeter is the sum of all four sides and, since it's a square then all sides are equal

to find how long each side is divide 252 by 4

252÷4 = 63

Answer:

It seems like you want to solve the question, so I'll not include the answer

Square has 4 sides and each sides are identical length so.

And Perimeter is just the total length of the sides of the shape. So...

Mathematically

Perimeter of square = 4s

where s is length of one side of square

Answer:

d

Step-by-step explanation:

distribute two through the parentheses

=4x-2

move the constant to the right side and change its sign

=4x=8+2

=4x=10

divide both sides by 4

x=5/2

Answer:

-1 (color bow red)

Step-by-step explanation:

first plug x=7

-12/2(7) - 2

-12/14-2

-12/12

-1

Answer:

J=8

Step-by-step explanation:

Multiply 4 by 2 and then you get 8 and 8/4 is 2 so J = 8

sorry if im incorect

Answer:

x =|y| x right = negative x left=+ y up = + y down = -

Answer:

120

Step-by-step explanation:

24 + 96 = 120

Hope this helps!

Answer:

Step-by-step explanation:

1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?

$50(1+0.20) = $60

2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?

$4(1-0.2) = $3.20

3. A painting is on sale at 50% off. The sale price is $320. What was the original price?

X*(1-0.5) = $320

X = $320/0.5

X = $640

From the power rules, the power [tex]3^{-2}[/tex] is equal to the fraction [tex](\frac{1}{3})^{-2}[/tex].

There are different power rules one of them is the negative exponent. For this rule when you have a negative exponent, you need to invert the number, i.e, the power base is converted to the denominator. After that, you should solve the power with a positive exponent.  See the  examples:

[tex]5^{-3}=(\frac{1}{5})^3=\frac{1}{125} \\ \\ \\ {\frac{4}{6} }^{-2}={\frac{6}{4} }^2=\frac{36}{16}[/tex]

Then, the question gives:

[tex]3^{-2}=({\frac{1}{3}})^2[/tex]

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Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Common ratio is 1/4

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]

Hence, common ratio r = 1/4

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Answer:

 1.64×10^7 km

Step-by-step explanation:

The Pythagorean theorem can be used to find the hypotenuse of this right triangle.

  QR² = PQ² +PR²

Expressing the given distances as multiples of 10^7 km, we have ...

  QR² = 0.36² +1.6² = 0.1296 +2.5600 = 2.6896

  QR = √2.6896 = 1.64

The shortest distance between planets Q and R is 1.64×10^7 km.

Step-by-step explanation:

When the modulus is ∞, the result is equal to the value in ST(0). Otherwise, C2 is set, and the result in ST(0) is called the partial remainder. The exponent of the partial remainder will be less than the exponent of the original dividend by at least 32. Using partial remainders, dividing multiples of 4 from 46 until you can't divide anymore. You can't divide anymore because 2 is less than 4. So, 2 is the remainder.

Write 72.18 as=

[tex]Write 72.18 as = \frac {72.18}{1} [/tex]

[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]

[tex] \frac{3609}{50} [/tex]

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.

Answer:

45% are female -> 72

100% are total -> x

x= 72• 100/45

x= 7200/45

x= 160

total= male+female

160= male + 72

male= 88

Answer:

Step-by-step explanation:

Mara has a 50% chance of getting the purple marble and 50% of getting an orange marble, since there's 2 marble; 1 purple and one orange; 1/2 = 50%

So she has a 50% chance of receiving $10 and a 50% chance of receiving the $200.

Uh numbers the answer is numbers

Answer:

x = 228

Step-by-step explanation:

Set up a proportion

57 houses / 40 seconds = x houses / 160 seconds

Cross multiply

9120 = 40x

Divide both sides by 40 to isolate x

x = 228

I hope this helped and please mark me as brainliest!

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

0.5 + ( -1.5 ) = -1

-1 - (-5.5) = 4.5

Hopefully this helped you. :)

Answer:

x = -2

Step-by-step explanation:

the y value in slope intercept form, which is the slope, is undefined. there is no y intercept, so the only known value (the x in y=mx+b) is -2, meaning the equation is x=-2

Slope:-

[tex]\\ \sf\longmapsto m=\dfrac{-3-2}{-2+2}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-5}{0}[/tex]

[tex]\\ \sf\longmapsto m=\infty[/tex]

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-2/\infty=x+2[/tex]

[tex]\\ \sf\longmapsto x+2=0[/tex]

[tex]\\ \sf\longmapsto x=-2[/tex]

Answer:

-5x+173

Step-by-step explanation:

x+4x+7      (sum of the 2 angles that you know)

5x+7

180-5x+7

-5x+173

Answer:

See there y-intersept and if slope is negative or positive to see if they intersect

Answer:

A (0, -4)

Step-by-step explanation:

The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.

Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0and a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0

According to the question

The equation : [tex]2y = - 3x - 6[/tex]

The x intercept of the equation  :

as a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0 .

Therefore,

at y= 0

[tex]0 = -3x -6[/tex]

[tex]6 = -3x[/tex]

[tex]x = -2[/tex]

So,

x intercept of the equation is (-2,0)

The y intercept of the equation  :

As a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Therefore

at x= 0

[tex]2y = -3*0 - 6[/tex]

[tex]2y = -6 \\ y = -3[/tex]

y intercept of the equation is (0,-3)

Now, The slope intercept form of the equation [tex]2y = - 3x - 6[/tex]

As slope intercept form is given as

y = mx + b

We will convert equation to standard slope intercept form

i.e

Dividing equation by 2 both side

[tex]y = -1.5x -3[/tex]

So,

m = -1.5  

Hence, The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .

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[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]

Answer:

110a

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: 4.5

Step-by-step explanation:

S= ut + 1/2(at)

S= 10(1/2) + 1/2(-2x1/2)

S= 5 + 1/2(-1)

S= 5 + (-.5)

S= 4.5

We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km

Since it's mile per gallon, we divide the units mentioned above.

1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251

Now multiply this result as a factor to 22

That is 22 * 0.4251 = 9.3522

So the answer is 9.3522

Answer:

x³ - 8x² - 20x

Step-by-step explanation:

Zeroes: 10, 0, -2

Factors are: (x - 10), (x - 0), (x + 2)

Multiply all factors to get expression:

(x - 10)x(x + 2) = x(x - 10)(x + 2)

= x(x² - 10x + 2x - 20)

= x(x² - 8x - 20)

= x³ - 8x² - 20x