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3 years ago

Kenneth solved a certain number of problems and Harold solved 2 more than twice as many. Together they

Mathematics

1 answer:

Inessa [10]3 years ago

6 0

H(arold) = 2 + 2*K(enneth)

H = 2 + 2K

H + K = 38

Substitution:

2 + 2K + K = 38

3K = 36

K = 12

Kenneth solved 12 problems and Harold solved (2(12) + 2 = 24 + 2 =) 26 problems

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Solve the following quadratic equation for its exact value by using the square root principle.

Korvikt [17]

Idk what the hell all that is but x = 1.802775637731995

4x^2 - 13 = 0

4x^2 = 13

13/4=3.25

x^2 = 3.25

x = ~1.8

5 0

3 years ago

Which statement about the function f(x)=|x+3| is true?

Stels [109]

The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

What do you mean by absolute maximum and minimum ?

A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.

It is given that function is f(x) = |x + 3|.

We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.

So , if we put |x + 3| = 0 , then :

± x + 3 = 0

±x = -3

So , we can have two values of x which are either -3 or 3.

The value 3 will be absolute maximum and -3 will be absolute minimum.

Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

Learn more about absolute maximum and minimum here :

brainly.com/question/17438358

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5 0

1 year ago

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

lora16 [44]

Answer:

<h2>not exist</h2>

Step-by-step explanation:

The coordinates of the intersection of the line are the solution of the system of equations.

$\underline{+\left\{\begin{array}{ccc}x-y=1\\y-x=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=2\qquad\bold{FALSE}$

The system of equations has no solution. Therefore, the lines are parallel (the intersection does not exist).

5 0

3 years ago

The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price

spayn [35]

Answer:

A box of 50 stickers would cost $13

Explanation:

1- getting the equation representing the price:

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

We are given that:

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

i. getting the slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2$

The equation now became: y = 0.2x + c

ii. getting the y-intercept:

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

The final equation is:

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

2- getting the price of a box with 50 stickers:

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

This is done as follows:

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

5 0

3 years ago

Here is a dot plot that shows the ages of teachers at a school.

lisabon 2012 [21]

Answer:

whats the answer?

Step-by-step explanation:

7 0

3 years ago