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2 years ago

Is (-1,2) a solution to the following system of equations? Show and explain why or why not.

Mathematics

1 answer:

fenix001 [56]2 years ago

4 0

Answer:

It is a solution.

Step-by-step explanation:

Plug in (-1,2) to both equations:

Plug in -1 to see if 2 comes out:

f(x)=x^2+3x+4

y=(-1)^2+3(-1)+4

y=1-3+4

y=-2+4

y=2

(yes it works)

g(x)=2x+4

y=2(-1)+4

y=-2+4

y=2

(yes it works)

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In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

Interior angles of a triangle = 180°

3x°+3x+10°+4x-30°=180°

10x°-20°=180°

10x°=180°+20°

10x°= 200°

10x°/10=200°/10

x°=20°

6 0

3 years ago

Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appr

amm1812

Answer:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

Step-by-step explanation:

The general formula for negations that will be applied is:

Statement: If x is y, then x is z

Negation: x is y and x is not z

Statement: If x is y, then x is z and w

Negation: x is y and either x is not z or x is not w

Applying those principles:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

4 0

3 years ago

Find the volume of the figure below.

Gala2k [10]

$V=\pi r^{2} h\\V=\pi (3)^{2} (6)\\V=\pi (9)(6)\\V=54\pi units^{3} \\ or\\V=169.64(rounded to hundredth)$

7 0

3 years ago

All currently has $25. He is going to start saving $5 every week

sergij07 [2.7K]

Answer:

I believe the answer is b

Step-by-step explanation: I think the answer is b because he gets $5 every week and he already has $25 the only thing we dont know is the weeks and you multiply 5 by the weeks so, 5(how much he gets each week) times x (The amount of weeks) plus 25(the amount he already has) equals y(the amount of everything put together)

5 0

3 years ago

A company finds that there is a linear relationship between the amount of money that it spends on advertising and the number of

Kay [80]

The formula for the equation of y, the number of units sold as a function of x is y = 0.00625x + 250

<h3>How to illustrate the equation?</h3>

From the information given, when the company spends no money on advertising, it sells 250 units and for each additional $4000 spent, an additional 25 units are sold.

The formula for y will be:

y = (25/4000)x + 250

y = 0.00625x + 250

Learn more about equations on:

brainly.com/question/2972832

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8 0

2 years ago