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2 years ago

13

What is 42 kg increased by 19%

1 answer:

statuscvo [17]2 years ago

7 0

42(100%+19%)
=49.98kg

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What is the greatest common factor of the polynomial -25y^3+15y^2-5y

Sonbull [250]

Answer:

-5y

Step-by-step explanation:

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2 years ago

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VashaNatasha [74]

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Step-by-step explanation:

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2 years ago

Find the value of S for an infinite geometric series with r= 1/6 and a1=10

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2 years ago

here is an inequality 2x + 5 > 50 explain the steps you would use to solve the equation for x what would the graph look like

Hatshy [7]

Answer:

$x>22.5$

Step-by-step explanation:

Given linear inequality:

$2x+5>50$

Solving for $x$

Subtracting both sides by 5.

$2x+5-5>50-5$

$2x>45$

Dividing both sides by 2.

$\frac{2x}{2}>\frac{45}{2}$

∴ $x>22.5$

The graph of the inequality is shown below.

The line is represented by dotted line because the inequality sign is only greater than which means 22.5 is not included in the solution.

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2 years ago

Find the quadratic function y=ax^2 + bx + c whose graph passes through the given points. (-3,37), (2,-8), (-1,13)

melamori03 [73]

The quadratic function is $y=1x^{2} + (-8)x + 4$

Step-by-step explanation:

The quadratic function given is $ax^{2} + bx + c=y$

and same quadratic function is passes through (-3,37), (2,-8), (-1,13)

Replacing points one by one

we get,

For (-3,37) :

$a(-3)^{2} + b(-3) + c=37$

$9a + -3b + c=37$ =<em> equation 1 </em>

For (2,-8) :

$a(2)^{2} + b(2) + c=(-8)$

$4a + 2b + c=(-8)$ = <em>equation 2</em>

For (-1,13)

$a(-1)^{2} + b(-1) + c=(13)$

$a + -1b + c=13$ = <em>equation 3</em>

Solving the linear equation to get values of a,b,c

Subtract equation 2 with equation 3

we get, $(4a + 2b + c)-(a + -1b + c)=(-8)-13$

$(3a + 3b )=(-21)$

$(a + b )=(-7)$ = <em>equation 4</em>

Now, Subtract equation 1 with equation 2

we get, $(9a + -3b + c)-(4a + 2b + c)=(37)-(-8)$

$(5a - 5b )=(45)$

$(a - b )=(9)$ = <em>equation 5</em>

Now, Add equation 4 with equation 5

we get, $(a + b)+(a - b)=(-7)+(9)$

$(2a - 0b )=(2)$

$(a)=1$

Replacing value of a in <em>equation 5</em>

$(a - b )=(9)$

$(1 - b )=(9)$

$(b)=(-8)$

Replacing value of a and b in <em>equation 1</em>

$9a + -3b + c=37$

$9(1) + -3(-8) + c=37$

$9 + 24 + c=37$

$c=4$

Thus,

The quadratic function $y=1x^{2} + (-8)x + 4$

3 0

3 years ago