MATHEMATICS HIGH SCHOOL

Write an equation for a polynomial function that has zeros of {3,2}

Answers

Answer 1

Answer:

Answer:

f(x) = x² - 5x + 6

Step-by-step explanation:

There are two roots:

x = 3 and x = 2

The function is:

f(x) = (x - 3)(x - 2)
= x² - 5x + 6

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two cars leave an intersection at the same time, one travelling at 70km/h along one road and the other car travelling at 80km/h along the other road. After 2 hours they are 218 km apart. At what angle, to the nearest minute, do the roads meet at the intersection.

Answers

$v_1=70\ km/h\nv_2=80\ km/h\nt=2h\n\nv=(s)/(t)\to s=vt\n\ns_1=70\ km/h\cdot2h=140\ km\ns_2=80\ km/h\cdot2h=160\ km\n\nlook\ at\ the\ picture$

$218^2=140^2+160^2-2\cdot140\cdot160\cdot cos\alpha\n\n47524=19600+25600-44800cos\alpha\n\n47524=45200-44800cos\alpha\n\n44800cos\alpha=45200-47524\n\n44800cos\alpha=-2324\ \ \ \ /:44800\n\ncos\alpha\approx-0.051875\Rightarrow\alpha\approx92^o58'$

The square of a number plus the number is 42 . Find the number (s).

Answers

Answer: s = 6 or s = -7

Step-by-step explanation:

Our task is to find the number. But first, let's write the equation:

The square of a number s plus the number is 42.

The square of s = $\sf{s^2}$

Plus s = $\sf{s^2+s}$

this equals 42: $\sf{s^2+s=42}$

Now, let's solve for s. Subtract 42 from both sides, and set the right-hand side equal to 0.

$\sf{s^2+s-42=0}$

Now, let's factor it.

Think of two numbers that:

multiply to -42
add up to 1

These numbers are 6 and -7.

So, the factored expression is :

(s + 6)(s - 7) = 0

Either s + 6 is 0 or s - 7 = 0.

We have two little equations that we can solve for s:

s + 6 = 0 s - 7 = 0

s = 0 - 6 s = 0 + 7

s = -6 s = 7

Final answer:

To find the number(s) that satisfy the equation x^2 + x = 42, you can factorize the quadratic equation (x + 7)(x - 6) = 0 and solve for x. The solutions are x = -7 and x = 6.

Explanation:

To find the number(s) that satisfies the equation, let's represent the number as 'x'. According to the question, the square of the number plus the number is equal to 42. This can be written as x^2 + x = 42. Rearranging the equation, we get x^2 + x - 42 = 0. To solve this quadratic equation, we can factorize it or use the quadratic formula.

Factoring the quadratic equation, we find (x + 7)(x - 6) = 0. Setting each factor equal to zero, we get x + 7 = 0 and x - 6 = 0. Solving these equations, we find x = -7 and x = 6.

Therefore, the number(s) that satisfy the equation are x = -7 and x = 6.

Learn more about Finding solutions to a quadratic equation here:

brainly.com/question/34125066

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Which completely describes the polygon?Mid-Unit Test

A.
equiangular

B.
regular

C.
equilateral

Answers

regular? just a guess dont take my word for it

1. Round to the nearest hundredth. 1.824
A. 1.82
B. 1.83
C. 2
D. 1.8

Answers

Considering 1.824 (2 being hundredth) it would mean that this is 1.82

A because 1.824 is rounded to 1.82 when rounding to the nearest hundredth.

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O 0.015
O 5.4
O 54
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