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Gelneren [198K]
3 years ago
8

Use the quadratic formula to solve the equation​. 4x^2−10x+5=0

Mathematics
1 answer:
finlep [7]3 years ago
5 0

Quadratic formula:

x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}

What do we have:

a=4

b=-10

c=5

Substitude:

x=\frac{10±\sqrt{b^{2}-4(4)(5)}}{2(a)}

Solve:

x=\frac{10±\sqrt{(-10)^{2}-4(4)(5)}}{2(4)}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-80}}{8}\\\\x=\frac{10±\sqrt{20}}{8}\\\\x=\frac{10±2\sqrt{5 }}{8}\\\\x=\frac{2(±5\sqrt{5) }}{2(4)}

Cancel the common terms:

x=\frac{5±\sqrt{5} }{4}

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Sierra applies a coat of epoxy paint to the four sides and floor of a rectangular swimming pool. The pool is 4 feet deep, 18 fee
Brilliant_brown [7]

Answer:

4 gallons of paint

Step-by-step explanation:

We solve using the formula for surface area of rectangular prism.

A=2(wl+hl+hw)

Where:

w = Width

h = Height

l = Length

The pool is 4 feet deep, 18 feet long, and 12 feet wide.

Hence,

=2 × (12 × 18 + 4 × 18 + 4 ×12)

=672 square feet

One gallon of paint covers 155 square feet.

Hence,

155 square feet = 1 gallon of paint

672 square feet = x

Cross Multiply

155 square feet × x = 672 square feet × 1 gallon of paint

x = 672 square feet × 1 gallon of paint/ 155 square feet

x = 4.335483871 gallons of paint

Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint

4 0
3 years ago
Hey can i get some help on this question?
vredina [299]

which are the optiones?

7 0
2 years ago
Read 2 more answers
1. Sally decided to go early Christmas shopping at a local Wal-Mart. There was
vovangra [49]

Answer:

150$

Step-by-step explanation:

In order to find the answer to this question you must find twenty-five percent of two-hundred.

50% of 100 = 50

100% of 100 = 100

100% of 200 = 200

50% of 200 = 100

25% of 200 = 150

= 150$

Hope this helps.

5 0
2 years ago
Round 12.5478 to the nearest hundredths
solong [7]

Answer:

12.04

Step-by-step explanation:

Find the number in the hundredth place  4  and look one place to the right for the rounding digit  1 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

6 0
3 years ago
If anyone could help out with this one i would really appreciate it <br><br> f(2)=?
algol13

Answer:

f(2) = 0

Step-by-step explanation:

Function f(t) is defined in three different ways depending on the value of t.

For t = 8, function f(t) is -64/t.

For t = 10, function f(t) is 14 - t.

We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.

f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.

f(2) = 2^2 - 3(2) + 2

f(2) = 4 - 6 + 2

f(2) = 0

6 0
3 years ago
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