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Mathematics

1 answer:

faust18 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

im pretty sur ethe answer is 58... i havent done this is 3 yeras so if its wrong sorry

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Write a polynomial equation of least degree with roots 2, -1 and 4.

Rasek [7]

A polynomial with roots a and b is (x - a)(x - b).

(x - 2)(x - (-1))(x - 4) = 0

(x - 2)(x + 1)(x - 4) = 0

has roots 2, -1, and 4.

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3 years ago

Keiko has seven colors of lanyard. She uses three different colors to make a keychain. How many different combinations can she c

AleksAgata [21]

Combination = doesn't matter what order
Permutation = order matters

There are <u>two</u> methods to work out combinations.

Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567

For a total of 35 combinations.

Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

$\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35$

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)

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4 years ago

Solve the inequality. Graph the solution set. 26+6b (>=) 2(3b+4 A. All real numbers b. b> or less than 1/2 c. no solutions

Nata [24]

I got c because when you solve theres no solution

4 0

4 years ago

Read 2 more answers

The following graphs are transformations of f(x) = x^2.

KiRa [710]

Step-by-step explanation:

Let's look at A(x) and see how it is different from f(x)

it is shifted downwards by 8 units
it is not shifted to the left or the right

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

it is not shifted downwards or upwards
it is shifted to the left 7 units

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

it is shifted upwards by 4 units
it is shifted to right by 5 units

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

it is not shifted downwards or upwards
it is not shifted to right by 12 units

Therefore D(x) = f(x - 12)

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3 years ago

a student scores 71 out of 100 on a test, if the maximum score on the tests is also 100, what score does the student need to mai

Nonamiya [84]

(71+x)/2=78
71+x=156
x=85

Th student needs to score a min of 85

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3 years ago