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3 years ago

Please solve all and number them too

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

Answer:

met is het yitr toyourt

Step-by-step explanation:

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Find the smallest zero for the function h(x) = 4x^2 - 8x - 60

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Note that h(x) = 4x^2 - 8x - 60 factors to 4(x^2 - 2x - 15), and that the roots (zeros) of (x^2 - 2x - 15) are -5 and +3. Thus, the smallest zero is -5.

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4 years ago

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Two pipes can fill a tank in 19 minutes if both are turned on. If only one is used, it would take 49 minutes longer for the smal

a_sh-v [17]

Answer:

The time taken by smaller pipe to fill the tank alone is 74.2 min

Step-by-step explanation:

Given as :

The time taken by two pipes to fill tank = 19 min

Let the time taken by larger pipe to fill tank = y

And the time taken by smaller pipe to fill tank = x

According to question

The smaller pipe takes 49 minutes longer than larger pipe

I.e x = y + 49

Now,

$\dfrac{1}{x}$ + $\dfrac{1}{y}$ = $\dfrac{1}{49}$

Or, $\dfrac{1}{y + 49}$ + $\dfrac{1}{y}$ = $\dfrac{1}{49}$

Or, $\dfrac{y + 49 + y}{y^{2} + 49 y }$ = $\dfrac{1}{49}$

Or, 2 y + 49 = $\dfrac{y^{2}+49y }{19}$

Or, 19 × ( 2 y + 49 ) = y² + 49 y

Or, 38 y + 931 = y² + 49 y

Or, y² + 49 y - 38 y - 931 = 0

or, y² + 11 y - 931 = 0

Or, Applying quadratic equation method to calculate the value of y

so, y = $\frac{- b \pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, y = $\frac{- 11 \pm \sqrt{11^{2}-4\times 1\times (-931)}}{2\times 1}$

Or, y = $\frac{- 1 \pm \sqrt{121+3724}}{2}$

or, y = $\frac{- 1 \pm \sqrt{3845}}{2}$

or, y = $\frac{- 1 \pm 62.008}{2}$

∴ y = 25.2 , - 36.5

So, The time taken by larger pipe = y = 25.2 min

and the time taken by smaller pipe to fill the tank = y + 49 = 25.2 + 49 = 74.2 min

Hence The time taken by smaller pipe to fill the tank alone is 74.2 min answer

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3 years ago

The first table shows the teams with the four best records halfway through the season. The second table shows the full season re

Allisa [31]

Answer:

Step-by-step eThe first table shows the teams with the four best records halfway through the season. The second table shows the full season records for the same four teams. Which team had the best record during the second half of the season?

Record for the First Half of the Season Record for the Season

Teams Wins Loss Teams Wins Loss

1 26 14 1 59 21

2 27 13 2 27 13

3 25 15 3 25 15

4 24 16 4 24 16

Expert Answer

xplanation:

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brilliants [131]

Answer:

(5,3)

Step-by-step explanation:

you would move 3 to the right and 2 down

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liberstina [14]

Answer:

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