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2 years ago

7

Write the equation or inequality : in order to take honors level math , Lisa must have an average of 85 on her math tests. Her s

cores so far are 85, 70, and 98. What is the minimum score Lisa needs on the fourth test to get into honors math class ?

1 answer:

Minchanka [31]2 years ago

4 0

Answer:

Lisa must score 89 in fourth test.

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Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?

likoan [24]

$\mathrm{Use\:the\:rational\:root\:theorem}$

$a_0=15,\:\quad a_n=2$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:3,\:5,\:15,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:3,\:5,\:15}{1,\:2}$

$-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3$

$-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3$

$\mathrm{Compute\:}\frac{2x^3-5x^2-28x+15}{x+3}\mathrm{\:to\:get\:the\:rest\:of\:the\:eqution:\quad }2x^2-11x+5$

$=\left(x+3\right)\left(2x^2-11x+5\right)$

$Factor: 2x^2-11x+5$

$2x^2-11x+5=\left(2x^2-x\right)+\left(-10x+5\right)$

$=x\left(2x-1\right)-5\left(2x-1\right)$

$2x^3-5x^2-28x+15=\left(x+3\right)\left(x-5\right)\left(2x-1\right)$

$\left(x+3\right)\left(x-5\right)\left(2x-1\right)=0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:}$

thus zeros of f(x) is

$x=-3,\:x=5,\:x=\frac{1}{2}$

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2 years ago

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A 5 divided by 48 lottery involves choosing 5 of the numbers from 1 through 48 and a 4 divided by 35 lottery involves choosing 4

Anika [276]

Answer:

4/35 lottery is easier to win.

Step-by-step explanation:

For the 5/48 lottery, the winning probability is $\frac{5}{48}$ ≈0.1042

For the 4/35 lottery, the winning probability is $\frac{4}{35}$ ≈ 0.1143

Since $\frac{4}{35}$ > $\frac{5}{48}$ , the lottery where one chooses 4 of the numbers 1 through 35 is easier to win.

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3 years ago

What is the solution for 2t <5

Luba_88 [7]

Divide 2 from both sides
t < 5/2
Hope this helps!

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3 years ago

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A corner of a rectangle is cut, creating a trapezoid.

dlinn [17]

The sum of a trapezoid is 360 degrees

45+90+90+x=360
45+180+x=360
225+x=360
x=135

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3 years ago

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PLZ SOLVE ASAP Solve for f. -11f=7(1-2f)+5

viktelen [127]

Answer:

f = 4

Step-by-step explanation:

Step 1: Distribute

-11f = 7 - 14f + 5

Step 2: Combine like terms

-11f = 12 - 14f

Step 3: Add 14f to both sides

3f = 12

Step 4: Divide both sides by 3

f = 4

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3 years ago

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