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spin [16.1K]
3 years ago
10

Please help me with the question below

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

4

Step-by-step explanation:

If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.

The second part tells us that Eden will be twice as old as Judge in two years.

This means that in two years: (Eden's age) = 2 * (Judge's age).

Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x

Simplify the equation:

x + 6 = 2x

6 = x = Judge's age (in two years)

If Judge is 6 two years later, then he must be 4 now.

To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.

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The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a
elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

P(x)=-0.5x^2+23x+92 -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

so

PXx)\geq 225 -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0
4 years ago
Angle 1 and angle 2 are vertical angles. solve for x if angle 1 is (x-3) and angle 2 is 50 degrees.
Elza [17]
You set them equal to each other because vertical angles are congruent so,
(x-3)=50
x=53
3 0
3 years ago
Could I please get help with this, I’m very confused and don’t know how to do this. Please and thank you
Step2247 [10]

Answer:

(See bolded numbers)

<u>Factoring</u><u> -1 out of negative numbers</u><u>:</u>

11) (-6) • (3)= (-1 • 6) • 3= -1 • 6 • 3= -18

-6 is the negative number here and factoring out -1 from -6 will give us -1(6). In the second last step, multiply 6 and 3 together then multiply the product by -1.

-1(6 ×3)= -1(18)= -18

12) (-4) • (-8)= (-1 • 4) • (-1 • 8)= 1 • 4 • 8= 32

Multiplying 2 negative numbers will give us a positive number. The 3rd step is 1 as (-1)(-1)= 1.

13) (-9) • (-5)= (-1 • 9) • (-1 • 5)= 1 • 9 • 5= 45

14) (2) • (-8)= 2 • (-1 • 8)= -1 • 2 • 8= -16

Negative numbers are numbers with a negative sign and are numbers less than zero. Factoring -1 out of negative numbers will leave us with the positive number.

8 0
3 years ago
Kuta Software - Infinite Algebra 2 Name Systems of Two Equations Date Solve each system by graphing. 1) y=-3x + 4 y= 3x - 2 2) y
gogolik [260]

Answer:

Solution of the system of equations: (1, 1)

x = 1, y = 1

Explanation:

Given the below system of equations;

\begin{gathered} y=-3x+4 \\ y=3x-2 \end{gathered}

Note that the slope-intercept form of the equation of a line is given as;

y=mx+b

where m = slope of the line

b = y-intercept of the line

Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.

Knowing the above information, let's go ahead and graph the system of equations;

From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.

5 0
1 year ago
Read 2 more answers
Is 1/10 and 3/33 equivalent
Ostrovityanka [42]
1/10 = .1, and 3/33 = .0909090... it is equivalent if you estimate.
3 0
4 years ago
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