MATHEMATICS HIGH SCHOOL

Evaluate the expression: -14 - 9n + 4 + 3n, when n = 7

Answers

Answer 1

Answer:

Answer:

I wish I knew

Step-by-step explanation:

a+b=c

Answer 2

Answer:

Answer:

I am not sure but I think it's -52.

Step-by-step explanation:

-14-9(7)+4+3(7)

You multiply first, so it would give you: -14-63+4+21.

Then you combine similar terms: -77+25.

Final answer: -52

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Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answers

if x=0 then they have same value

1st and 2nd options are out

for x=-1
g(-1)=1
h(-1)=-1
3rd is true

4th
false

for all values except zero, g(x)>h(x)

correct ones are

g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answer: g(x) > h(x) for x = -1.

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Step-by-step explanation:

Given functions: $g(x)=x^2$ and $h(x)=-x^2$

When x=0, $g(0)=0^2=0$ and $h(0)=-0^2=0$

∴ at x=0, g(x)=h(0)

Therefore the statements "For any value of x, g(x) will always be greater than h(x)." and "For any value of x, h(x) will always be greater than g(x)." are not true.

When x=-1, $g(-1)=(-1)^2=1$ and $h(-1)=-(-1)^2=-1$

∴g(x) > h(x) for x = -1. ......................(1)

When x=3, $g(3)=(3)^2=9$ and $h(3)=-(3)^2=--9$

∴ g(x) > h(x) for x = 3....................(2)

⇒g(x) < h(x) for x = 3. is not true.

From (1) and (2),

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Write the slope-intercept form of the equation of the line through the given points. through: (3, -4) and (-4, 4)

Answers

first, you need your slope. this can be found by the slope formula: m = (y2 - y1)/(x2 - x1)

(3, -4) and (-4, 4)
(x1, y1) and (x2, y2)

m = (4 - -4)/(-4 - 3)
m = (8)/(-7)
so your slope is -8/7

now, to find a line through the given points, the only piece of information you're missing is your y-intercept. you just have to pick one point and plug it into slope-intercept form: y = mx + b, then solve for b

(-4) = (-8/7)(3) + b
-4 = -24/7 + b
-4/7 = b

so plug all of it into y = mx + b:

y = (-8/7)x - 4/7

03 MG)In AEFG and sYXZ,m F mix and mE m_Y. IfmZE = 62° and m_X = 80°, what is the measure of ZY?

Answers

142 is the correct answer that

Identify if there is a function in each given relation. 1. {(cat, 1), (dog, 5), (cat, 6), (chicken, 9)) 2. ((a,10), (b, 11), (-a, 12), (c,13)},

Answers

The relation {(cat, 1), (dog, 5), (cat, 6), (chicken, 9)} is not a function, because there are two ordered pairs with the same first element, "cat" - (cat, 1) and (cat, 6). In a function, each input (first element) must correspond to only one output (second element).

The relation { (a,10), (b, 11), (-a, 12), (c,13)} is also not a function, because the input "-a" and "a" have different outputs (12 and 10, respectively). In a function, each input must correspond to only one output.

A function is a relation between a set of inputs and a set of possible outputs with the property that each input is associated with exactly one output. In other words, for each input, there is only one output.

The concept of functions is important in many areas of mathematics and its applications, such as physics, engineering, and computer science. Functions can be represented using various mathematical notations, such as tables, graphs, or algebraic formulas.

Learn more about relation here:

brainly.com/question/31111483

#SPJ11

See Attached picture.

Answers

We use the Work formula to solve for the unknown in the problem which is W = F x d. First, we solve for the Net Force acting on the car. The Net Force is the summation of all forces acting on the object. For this case, we assume that Friction Force is negligible thus the Net Force is equal to:

F = mgsinα in terms of SI units and in terms of english units we have F = m(g/g₀)(sin α) where g₀ is the proportionality factor, 32.174 ft lb-m / lb-f s²

F = 2500 (32.174/32.174) (sin 12°) = 519.78 lb

W = Fd = 519.78 lb (400 ft) = 207912 ft - lb or 20800 ft-lb

A swimming pool is being filled ata rate of 15 pints per minute. How many gallons per hour is this?