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mart [117]
3 years ago
8

Solve the quadratic by completing the square: a^2=12a-32

Mathematics
1 answer:
Mice21 [21]3 years ago
8 0

Answer:

a=8,4

Step-by-step explanation:

just solved it

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Charles Miller invested his textbook royalty income in two accounts, one paying 3% annual simple interest and the other paying 2
yKpoI14uk [10]

Answer:

The amount invested at 3% is 300 &

The amount invested at 2% is 100.

Step-by-step explanation:

Total yearly interest for the two accounts is: $11

Let x be the amount invested at 3%

& y be the amount invested at 2%

From the question we can get 2 equations as;

x = 3y --------------------------Equation 1

0.03x + 0.02y = 11 ----------Equation 2

Substitute for x in Equation 2 we get;

0.03 (3y) + 0.02y = 11

0.09y + 0.02y = 11

0.11y = 11

Divide the above equation by 0.11, we get;

y = \frac{11}{0.11}

y = 100

Let us substitute the value of y in Equation 1 we get;

x = 3(100)

x = 300

Now to check our answer let us put in the simple interest formula. If we get the sum of the two interests equal to 11 then our answers are correct:

0.03 x 300 + 0.02 x 100

= 9 + 2

= 11

Hence the amount invested at 3% is 300 and the amount invested at 2% is 100.

6 0
4 years ago
One half Of a certain even integer plus One fifth Of The next consecutive even interger equals 48. Find The two intergers.
yaroslaw [1]
The integers are 68 and 70.

One half of 68 is 34.
One fifth of 70 is 14.
34 + 14 = 48 and 68 and 70 are consecutive even integers.
8 0
3 years ago
What is the range of y equals square root of x +7+5?
Elodia [21]

The range of a function are the dependent variables for which the function exists. The range of the function will be y ≥ 5

<h3>Range of a function</h3>

The range of a function are the dependent variables for which the function exists

Given the function below;

f(x) = √x+7 + 5

The function can only exist for values less than or equal to -7 that is x ≤ -7.

Substitute

f(-7) =  √-7+7 + 5

f(-7) = 5

The range of the function will be y ≥ 5

Learn more on range here: brainly.com/question/2264373

#SPJ1

8 0
2 years ago
What is 90 is exponential form?<br> 2^__ * 3^__ * 5^__
Sloan [31]
90/2=45
45/3=15
15/3=5


90=2*3*3*5=2¹*3²*5¹
3 0
3 years ago
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation? becaus
natita [175]

Answer:

The correct option is;

Because ∠MNL and ∠ONP are congruent angles

Step-by-step explanation:

From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP

Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.

5 0
4 years ago
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