(a+b)ˇ2 - 3 -6 - 0 + 5 =

Answer:

k=-5

Step-by-step explanation:

For the points to be collinear any two pair must have the same slope

We find the slope of the 2nd and 3rd points

=1-2/-1--3

=-1/2

Now finding the slope of the 1st and any other point say point 3

1-3/-1-k=-½

-2/-1-k=-½

-4=-1(-1-k)

-4=1+k

k=-4-1

k=-5

PROOF

if the first point is (-5,3)

slope of point 1 and 2

=2-3/-3--5

=-1/2

Answer:

John will run out of toner cartridges first

Step-by-step explanation:

First, find how many sheets he can print with the 3 toner cartridges:

3(2000)

= 6000 sheets of paper

Find how many sheets of paper he has:

15(500)

= 7500 sheets of paper

Since 6000 is less than 7500, John will run out of toner cartridges first.

Answer:

the first option is the answer. I am sure of this

Answer:

the first option is the answer

Answer: $864.63

Step-by-step explanation:

First find the original price. Write 20% as the decimal 0.20 before using it in the equation.

price

= cost+mark-up

= 960.70+0.20×960.70

= 960.70+192.14

= 1,152.84

The original price was $1,152.84.

Now find the discount price. Write 25% as the decimal 0.25 before using it in the equation.

discount price

= original price–discount

= 1,152.84–0.25×1,152.84

= 1,152.84–288.21

= 864.63

The discount price was $864.63.

Answer:

200.

Step-by-step explanation:

-------- 200 -------

Hope that helps.

Answer:

f(1) = 2 f(3) = 8 f(t) = 2^t

Step-by-step explanation:

you just plug in the number in the parenthesis next to f to x in the equation 2^x

Answer:

1/4

Step-by-step explanation:

HT represent the probability of tossing a head then Tail.

There is 4 possible results and only 1 give us HT.

We call this theoretical probability. which is

[tex] \frac{x}{y} [/tex]

where x is favorable outcomes and y is total number of outcomes.

So there is a 1/4 probability of getting a head followed by a tail.

Step-by-step explanation:

X = Acceleration × time

=300× (10/60)

=50km/h

Answer:

its basically a Cross

the point they cross is p

and the 2 lines are AB and RS

I hope I'm correct.And yea

.hope it helps

Answer:

The answer is 3

Step-by-step explanation:

(-2)+5=3

Answer:

[tex] \frac{8}{3} [/tex]

Step-by-step explanation:

[tex] - 2 \frac{1}{3} - ( - 5)[/tex]

convert mixed fraction into improper fraction.

[tex] - \frac{7}{3} + ( - 5)[/tex]

calculate the sum of the fraction:

[tex] \frac{8}{3} [/tex]

Answer:

18

Brainliest, please!

Step-by-step explanation:

3^3 + 11 - 10 / 2 x 4 = w

27 + 11 - 10 / 2 x 4 = w

27 + 11 - 5 x 4 = w

27 + 11 - 20 = w

38 - 20 = w

w = 18

Answer:

25

Step-by-step explanation:

f(x)=-x^2-10x

Let x = -5

f(-5)=-(-5)^2-10(-5)

     = -25+50

      =25

Identify which number??

Answer:

The LCM of 25 and 200 is 200.

Explanation:

Find the prime factorisation of 25

25 = 5 × 5

Find the prime factorisation of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:

LCM = 2 × 2 × 2 × 5 × 5

LCM = 200

Answer:

the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.

LCM of 25 and 200 is 200 because it can be divided by both 200 and 25

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

Answer:

0 and 2 s the answer

Answer:

9

Step-by-step explanation:

30 - (9+4 x 3)

30 - (9 + 12)

30 - 21

= 9

Answer:

[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]

I hope I helped you^_^

Answer:

It's BGH or the 4th option

Step-by-step explanation:

This is because they aren't adjoined

Area of rectangle where Zebra spotted is 3.36 kilometer²

Step-by-step explanation:

Given that;

Zebras spotted in a  rectangular area

Dimensions of area is 1.4 kilometers by 2.4 kilometers

Find:

Area of rectangle

Computation:

[tex]Area\ of\ rectangle = length \times width\\[/tex]

Area of rectangle = 1.4 x 2.4

Area of rectangle = 3.36 kilometer²

Learn more:

https://brainly.com/question/22998786?referrer=searchResults

Answer:

D. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

   = -2.5

  = 2.5

  = 7.5

2nd difference,

   = 5

  = 5

  = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

Answer:

Step-by-step explanation:

Interest=principal*rate*time/100

Interest=240$

Amount= principal + interest

Amount=$490

Answer:

x=7

Step-by-step explanation:

HI + IJ = HJ

3x-5 + x-1 = 7x-27

Combine like terms

4x-6 = 7x-27

Subtract 4x from each side

4x-6 -4x= 7x-27-4x

-6 = 3x-27

Add 27 to each side

-6+27 = 3x-27+27

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

Answer:

x=7

Step-by-step explanation:

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

Answer:

Step-by-step explanation:

4) ∠CTB , ∠PTA are vertical angles

If sum of two angles add up to 90, then they are Complementary angles.

If sum of two angles add up to 180, then they are Supplementary angles.

∠FTA and ∠ATR are supplementary angles

5) ( 1 , 2 )  & (3 , 6)

[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]

             [tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

             = (2 , 4)

6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

                  [tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]

The sales tax on this printer is $20.94

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Given that, the price of a printer is $349.00 having a 6% sales tax.

Sales tax = 6% of $349.00

$349.00 x 0.06 = $20.94

Hence, the sales tax on this printer is $20.94

For more references on sales tax, click;

https://brainly.com/question/29442509

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Answer:

2^7

Step-by-step explanation:

2 * 2^3 *8

Rewriting 8

8 = 2^3

2 * 2^3 * 2^3

We know that a^b * a^c = a^(b+c)

2^1 * 2^3*2^3

2^(1+3+3)

2^7

Answer:

|3x+7|>2 =5/3 x yang memenuhi