write an equation of the line in slope intercept form

Answer:

k = - 5

Step-by-step explanation:

Given that (x - 1) is a factor of p(x) then p(1) = 0, that is

2 - 3 + 6 + k = 0

5 + k = 0 ( subtract 5 from both sides )

k = - 5

Answer:

D. (0.6, 1.3)

Step-by-step explanation:

we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.

the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.

the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).

so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.

therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Answer:

x= +8 or -8

Step-by-step explanation:

x=  -b±[tex]\sqrt{b^2-4ac}[/tex] /2a

x=−0±[tex]\sqrt{0^2 negative4(1)( negative 64)}[/tex] /√2(1)

x=−0±0[tex]\sqrt{256}[/tex]/√2

x=−0±256−−−√2

x=−0±162

x=16/2 x=−16/2

x=8

x=−8

Answer:

200

Step-by-step explanation:

Jack share = 2/5 x 1/5 = 2/25

amount left over = 1 - (2/25 + 2/5) = 13/25

13/25 x t = 260

t = total amount of chocolate

t = (260 x 25) / 13 = 500

Davids share = 2/5 x 500 = 200

Answer:

Kendall's age 6 years ago was 23 years.

Step-by-step explanation:

A system of equations is a set of equations with the same unknowns. A  system of linear equations is a system of equations in which each equation is linear. That is, a system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case you propose a system, being the variables to solve:

6 years ago, Kelly was younger than Kendall by 6 years. The total age of Kelly and Kendall now is 52 years. So, the system of equations is:

[tex]\left \{ {{x=y-6} \atop {(x+6)+(y+6)=52}} \right.[/tex]

It is solved by the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the following one. The first equation is replaced in the second equation of the system:

(y-6+6)+(y+6)=52

y +(y+6)= 52

y +y+6= 52

2*y + 6=52

2*y= 46

y= 46 ÷ 2

y=23

So, Kendall's age 6 years ago was 23 years.

Answer:

The answer is 4x+7

Step-by-step explanation:

3x+7+x

= 3x+x+7

= 4x+7

(I used symbolab)

Answer: This depends on how well the used car was taken care of if the used car has no problems wrong with it and is cheaper than the unused car you are looking to buy then the used car is best if you are wanting to save money, but if the used car has problems that cost more to fix then the car cost then you should go with the unused car.

Answer:

Well, I can answer the 1st question. There are 2 angles and 3 sides on the triangle.

Step-by-step explanation:

Answer:

12600 in³

Step-by-step explanation:

Applying,

V = lwh................. Equation 1

Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.

From the question,

Given: l = 40 inches, w = 35 inches, h = 12 inches

Substitute these values into equation 2

V = 40(35)(12)

V = 16800 in³

If the volume of water is 75% the capacity of tank.

Therefore,

Volume of water = 0.75(V)

Volume of water = 0.75(16800)

Volume of water = 12600 in³

Answer:

Step-by-step explanation:

B3)  

z + 127 = 180   {linear pair}

z = 180 - 127

z = 53

y=  55    {Corresponding angles}

w + z + y =  180 {angle sum property of triangle}

w + 53 + 55 = 180

   w + 108 = 180

w = 180 -108

w = 72

x = w {Vertiaclly opposite angles}

x = 72

B4)  q +  101 = 180 {Linear pair}

               q = 180 -101

              q = 79

p = 142     {Corresponding angles}

p + s = 180        {linear pair}

142 + s = 180

        s = 180 - 142

        s = 38

s +q +r = 180          {angle sum property of triangle}

38 +  79 + r = 180

          117 + r = 180

                  r = 180 - 117

                  r = 63

y + 63 = 180 {linear pair}

y = 180 - 63

y = 117

x = q = {corresponding angles}

x = 79

Answer:

80

Step-by-step explanation:

The median is the  center line in the middle of the box

The left and right lines of the box are 25% for the left side of the box and 75% for the right side of the box

Answer:

hope it is helpful to you

Answer:

Step-by-step explanation:

[tex]\frac{n}{2} +10=2n-4[/tex]

The equation represent the given situation is n/2 -10 =2n-4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, One half of the number n increased by 10.

That is n/2 -10

Four less than twice the number.

Here, 2n-4

Now, n/2 -10 =2n-4

n/2 -2n = -4+10

(n-4n)/2 = 6

-3n=12

n=-4

Therefore, the equation represent the given situation is n/2 -10 =2n-4.

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Answer:

187

Step-by-step explanation:

Fraction to make topping:

1/4 cups of white ; 2/3 cups of brown

Combined = 1/4 + 2/3 = (3 + 8) /12 = 11/12 cups

Fraction of combined used to top muffin = 1/12

Number of muffins that can be topped per combination made :

11/12 ÷ 1/12 ; 11 /12 * 12 / 1 = 11 muffins

Recall :

Each sugar has 11 1/3 cups

For brown sugar :

34 /3 ÷ 2/3 cups

34 /3 * 3 /2 = 17

For white sugar :

34 /3 * 4 /1 = 45.33

However, the highest amount of combined muffin topping for white sugar will be restricted by the number of brown :

Hence,

11 muffins can be topped from each combined mixture ;

Total muffin that can be topped :

17 * 11 = 187 muffins

Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.

answer:

Height = Area of parallelogram / base of parallelogram

Step-by-step explanation:

The corresponding height of the parallelogram can be calculated using the general equation below :

Height = Area of parallelogram / base of parallelogram

Kindly input the values you have into the relation to get the corresponding height of the parallelogram.

Answer:

y=10

Step-by-step explanation:

Answer:

[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]

Answer:

52.37 – 46.37 = y

8y = 48

Step-by-step explanation:

Choose all the equations that are true if y = 6. 52.37 – 46.37 = y 45y =445 8y = 48 3.2 + y = 9 y ÷ 4 = 24

We solve for y in all the equations :

52.37 – 46.37 = y

52.37 – 46.37 = 6 (True)

45y =445

Divide both sides by 45

45y/45 = 445/45

y = 9.888 (False)

8y = 48

y = 48/8

y = 6 (True)

3.2 + y = 9

y = 9 - 3.2

y = 5.8 (false)

y ÷ 4 = 24

y/4 = 24

y = 24 * 4 = 96 ( false)

Answer:

C

Step-by-step explanation:

y=x(1/2)^x

Answer:

AC = 10

Step-by-step explanation:

This is a right triangle

use the pythagorean theorem

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

Take the square root of both sides

10 = c

AC = 10

The correct answer is 10 not 12

Answer:

1234 no statement is there

Answer:-2

Step-by-step explanation:

Answer: The product of a non-zero rational number and an irrational number is irrational."

Step-by-step explanation:

Answer:

huh???

Step-by-step explanation:

Answer:

4 + 6x = 70

6x = 66

x = 11

Answer:

48 ft

Step-by-step explanation:

Here, we want to find the length of the wire

from the diagram, we can identify two similar triangles

The smaller one and a bigger one

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

We can start by getting the height of the tower

we have this as:

8/11 = 28/x

8 * x = 28 * 11

8x = 308

x = 308/8

x = 38.5 ft

So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height

So we can use the Pythagoras’ theorem to get the hypotenuse

Let us call this g

mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

thus, we have it that;

g^2 = 38.5^2 + 28^2

g^2 = 2,266.25

g = √2,266.25

g = 47.61 which is approximately 48 ft

Answer:

7⁵

Step-by-step explanation:

An exponent indicates how many times a number multplies itself.

Examples:

2² = 2* 2

2⁴ = 2 * 2 * 2 * 2

Answer:

117.18 yards

Step-by-step explanation:

480in=40ft

2.17x4.05x40=351.54tf

351.54ft=117.18yrds

Answer:

2 inches

Step-by-step explanation:

1/4 = 400

3200/400 = 8

8 x 1/4 = 2

A line on a map need in order to represent 3200 miles would be 2 inches long.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

On a map, 1/4 inch represents 400 miles.

1/4 = 400

3200/400 = 8

8 x 1/4 = 2

A line on a map need in order to represent 3200 miles would be 2 inches long.

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