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3 years ago

1. Which is greater than 4? (a) 5, (b) -5, (c) -1/2, (d) -25.

Mathematics

2 answers:

Gala2k [10]3 years ago

5 0

Answer:

(a) 5

5 is greater than 4

Sever21 [200]3 years ago

5 0

Answer:

Step-by-step explanation:

5 is only 1 greater than 4 which is closest.

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What's the product of 3 2/3 and 14 2/5

katen-ka-za [31]

$\frac{11}{3}$ × $\frac{72}{5}$
= $\frac{264}{5}$
= 52 4/5

7 0

3 years ago

What is the factorization of 3x2 – 8x + 5?

ELEN [110]

we have

$3x^{2} -8x+5$

Equate the expression to zero to find the roots

$3x^{2} -8x+5=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2} -8x=-5$

Factor the leading coefficient

$3(x^{2} -(8x/3))=-5$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$3(x^{2} -(8x/3)+(16/9))=-5+(16/3)$

$3(x^{2} -(8x/3)+(16/9))=(1/3)$

Rewrite as perfect squares

$3(x-(4x/3))^{2}=(1/3)$

$(x-(4x/3))^{2}=(1/9)$

square roots both sides

$(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}$

$x=\frac{4}{3}(+/-) \frac{1}{3}$

the roots are

$x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}$

$x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1$

$3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)$

therefore

the answer is the option

$(3x-5)(x-1)$

6 0

3 years ago

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Charlene wants to earn at least $600 this month in commission. What is the minimum amount she needs to sell to earn $600 if she

nika2105 [10]

Answer:

She will need to earn a little more than $1333 that week.

Step-by-step explanation:

600/0.45 = 1333.333(repeating) rounded to nearest dollar is 1333

Check by doing 1333 x 0.45 (comes out to be 599.85)

3 0

2 years ago

Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?

erik [133]

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

The quadratic function, f(x) = (x – 1)² + 2 is in vertex form: y = a(x - h)² + k, where:

The vertex of the graph is (h,k).
The value of a determines whether the graph opens up or down. If a is positive, the graph opens up and the vertex is its minimum point. If a is negative, then the graph opens down, and the vertex is its maximum point.
The value of h determines how far left or right the parent function is translated.
The value of k determines how far up or down the parent function is translated.

The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.

Please mark my answers as the Brainliest if you find this helpful :)

5 0

2 years ago

I don’t remember how I get the answer to this. I have the answer key though. Please help, I have a test in an hour

mrs_skeptik [129]

Answer:

f(x) = (x -2)(x -1+3i)(x -1-3i)

Step-by-step explanation:

You can use synthetic division to find the remaining quadratic factor in the cubic. Then any of the usual means of solving the quadratic will help you find its linear factors.

In the attached, I show the synthetic division, the factoring to real numbers, and the solution that finds the complex linear factors by completing the square.

Of course, you know that for zeros a, b, and c, the linear factors are ...

f(x) = (x -a)(x -b)(x -c)

Here, we have a=2, b=1-3i, c=1+3i.

f(x) = (x -2)(x -1+3i)(x -1-3i)

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3 years ago

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