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goldfiish [28.3K]
3 years ago
5

A student answered 86 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the p

roblems were worth the same number of points? (Round to the nearest whole number).
Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer:

88 problems

Step-by-step explanation:

Set this problem up as fractions

86/x = 98/100

Cross multiply

86 × 100 = x × 98

8600 = 98x

Divide both sides by 98

87.75... = x

Round to nearest whole number

87.75 rounds up to 88

88 problems

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Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)
aniked [119]

Answer:

3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

ax^2+bx+c    (1)

You have the following polynomial:

3x^2-10x+8    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}    (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}

Then, the factorization of the polynomial is:

3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})

5 0
3 years ago
an airplane begins to descend for a landing. the elevation g (in feet) of the airplane is modeled by the function: g(t)= 4800-30
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Answer:

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Step-by-step explanation:

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with respect to the given equation in the question, the y-intercept in this case is 4,800

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Ray Of Light [21]

<u>Answer:</u>

The correct answer option is B. Construct the perpendicular bisector of each side of the triangle.

<u>Step-by-step explanation:</u>

We are given that a student wants to construct a circumscribed circle of a triangle and we are to determine whether which of the given answer options is the first step he should take.

The student needs to first construct the perpendicular bisector of each side of the triangle.

The perpendicular bisectors of each side of the triangle are constructed such that they meet at the center of the circumbscribed circle.

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Answer:

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