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Nat2105 [25]
3 years ago
9

Solve by factoring 4x^2=x

Mathematics
2 answers:
djverab [1.8K]3 years ago
7 0

Answer:

X=0 or X=1/4

4x^2-x=x-x

4x^2-x=0

or

x(4x-1)=0

x=0 or 4x-1=0

x=0 or x=1/4

Delvig [45]3 years ago
6 0

Answer:

x= 0, 1/2

Step-by-step explanation:

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How many one-third packages can the worker make from 20 pounds of cookies?
andreev551 [17]

Answer: 60

Step-by-step explanation:

1/3 means 3 packages per 1 pound

3 x 20 + 60

5 0
3 years ago
The daily profit P ​(in thousands of​ dollars) from the sale of televisions is a function of the number x of televisions sold ​(
scZoUnD [109]

Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

7 0
3 years ago
(15 points!!) please help!! If you can answer the other questions on my page I will Venmo u!
Anon25 [30]

Answer:

y = (x - 3)² - 4      Vertex form

(3, -4)    Vertex

Step-by-step explanation:

f(x) = x² - 6x + 5

Complete the square

y = (x - 3)² + 5 - (-3)²

y = (x - 3)² + 5 - 9

y = (x - 3)² - 4      Vertex form

(3, -4)    Vertex

7 0
2 years ago
during one week an automobile manufacturing plant produced 4837 luxury cars 8952 vans and 848 station wagons how many vehicles d
OlgaM077 [116]

Answer:

14637

Step-by-step explanation:

8952

+

4837

+

0848

=

00007

00030

006

04

1

5 0
3 years ago
An angle measures 52° more than the measure of its complementary angle. What is the measure of each angle?
olga2289 [7]
Answer:
First angle is 71, and the other is 19

A complementary angle is 90, so 71 + 19 = 90, while having a 52 degree difference
7 0
2 years ago
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