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2 years ago

Use the quadratic formula to find the solutions to the equation. 3x2 - 10x + 5 = 0

Mathematics

2 answers:

krok68 [10]2 years ago

4 0

Answer:

The answer is A 10 +/ $\sqrt{40}$ /6

Step-by-step explanation:

I just took the test

Nitella [24]2 years ago

3 0

Answer: A

Step-by-step explanation:

3x² - 10x + 5 = 0

a = 3 b = -10 c = 5

Δ = b²- 4ac = 100 - 4.3.5 = 40 > 0 => have 2 solutions

=> x = $\frac{10+\sqrt{40} }{6}$ or x = $\frac{10-\sqrt{40} }{6}$

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What is the value of a yearly compensation package that includes a $54,000 salary, the full cost of a $250-per-month health insu

Ivahew [28]

$250 \times 12 = 3000$
$40 \times 12 = 480$
$54000 + 3000 + 480 = 57480$
the answer is C

5 0

2 years ago

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Please help me @marcthetutor please if you cpuld help me as welll anybody please help wuth thorough explaining will mark as brai

Hunter-Best [27]

Answer:

w=3

Step-by-step explanation:

(w+3)x2=4w

2w+6=4w

2w+6-6=4w-6

2w-4w=4w-6-4w

-2w=-6

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7 0

3 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

2 years ago

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What is the actual distance between these streets?

scoundrel [369]

It's D 4 3/8 miles

First you have to multiply 2 1/2 for the mile and 1 3/4 for the inches. You will get 4.375.Convert it to fraction which is 35/8 and simplify it to get 4 3/8.

Hope this helps!

8 0

2 years ago

Please help me answer the question in the picture!

Natasha2012 [34]

Answer:

x=75

Step-by-step explanation:

A( I mean angle)+B+C+D=360°

A=C

B=D

2A+2D=360°

A+D=180°

30°+x+x=180°

2x=150°

x=75

7 0

3 years ago