All categories

1 year ago

Using the quadratic formula, solve 0 = 2x² - 10x + 7 Give each of your answers to 2 d.p.

Mathematics

1 answer:

xenn [34]1 year ago

5 0

Answer:

$\sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11}$

Step-by-step explanation:

Let's solve your equation step-by-step.

0=2x²−10x+7

Step 1: Subtract 2x^2-10x+7 from both sides.

0−(2x²−10x+7)=2x²−10x+7−(2x²−10x+7)

−2x²+10x−7=0

For this equation: a=-2, b=10, c=-7

−2x²+10x+−7=0

Step 2: Use quadratic formula with a=-2, b=10, c=-7.

$\sf \: x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \: x = \frac{ - (10)± \sqrt{ {10}^{2} - 4( - 2)( - 7) } }{2( - 2)}$

$\sf \: x = \frac{ - 10 ± \sqrt{44} }{ - 4}$

$\sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11}$

You might be interested in

What is the solution for this inequality?

77julia77 [94]

Isolate the variable by dividing by 8. The answer will be A, x is greater than or equal to -4.

6 0

3 years ago

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are rando

Allushta [10]

Answer:

The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744

Solution:

Total number of coils = number of good coils + defective coils = 88 + 12 = 100

p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) $\times$ p(getting 2 good coils for second selection)

p(first selection) = p(second selection) = $\frac{\text { number of good coils }}{\text { total number of coils }}$

Hence, p(getting 2 good coil for two selection) = $\frac{88}{100} \times \frac{88}{100} =\bold{0.7744}$

5 0

3 years ago

Lucy bought three books at a bookstore. Here are their prices (in dollars).

Valentin [98]

Answer:

41.82$

Step-by-step explanation:

The prices are

7.58$, 16$, 18.24$.

To get the total of all what Lucy bought, You add the prices altogether.

That is,

18.24$

+16.00$

+07.58$

41.82$

The total amount of what Lucy bought is 41.82$

8 0

2 years ago

If angle a measures 64 then what does angle b measure?

Naddik [55]

Answer:

b = 26°

Step-by-step explanation:

a ; b = complementary =>

a + b = 90° } => b = 90° - 64° = 26°

a = 64°

8 0

3 years ago

Read 2 more answers

Kimane and a friend picked apples. Kimane picked 4 2/3 and his friend picked 5 5/6 pounds. About how many pound of apples do the

Gala2k [10]

Answer:

$9\dfrac{1}{2}$

Step-by-step explanation:

To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.

Kimane = $4\dfrac{2}{3}$

Friend = $5\dfrac{5}{6}$

We add them together to find out how many pounds of apples they currently have.

Total Pounds = $4\dfrac{2}{3}+5\dfrac{5}{6}$

Just to make the equation clearer, we separate the whole numbers from the fractions.

$=4+5+\dfrac{2}{3}+\dfrac{5}{6}$

$=9+\dfrac{2}{3}+\dfrac{5}{6}$

Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the $/dfrac{2}{3}$ into a fraction with the same denominator.

We multiply both the numerator and denominator by 2 to have the same denominator.

$\dfrac{2*2}{3*2}=\dfrac{4}{6}$

So now we have:

$=9+\dfrac{4}{6}+\dfrac{5}{6}$

$=9+\dfrac{9}{6}or1\dfrac{1}{2}$

$Total Pounds = 10\dfrac{1}{2}$

Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.

$20-10\dfrac{1}{2}$

$=9\dfrac{1}{2}$

So Kimane and his friend still need to get $9\dfrac{1}{2}$ more pounds of apples to get 20 pounds of apples.

6 0

3 years ago