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tangare [24]
3 years ago
9

Please help me!!! ASAPP

Mathematics
1 answer:
larisa86 [58]3 years ago
5 0

Answer:

x=2 y=8 ---> (2;8)

Step-by-step explanation:

2x+5y=44

6x-4=y

1.

2x+5(6x-4)=44

2x+30x-20=44

32x=64

x=2

2.

6x-4=y

6*2-4=y

12-4=y

y=8

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Find the domain and range of the function f(x) = 3x^2 - 5.Also find f(-3) and the numbers which are associated with the number 4
Delicious77 [7]

Domain:


This function is a polynomial, i.e. a sum of powers of a variables, each with its coefficient. Polynomials are defined for every possible value of the variable, so the domain is the whole real number set: D = \mathbb{R}


Range:


A polynomial of degree 2 represents a parabola. Since the leading coefficients, i.e. the coefficient of the term with highest degree, is positive (in this case, it's 3), the parabola is concave up. It means that it has a minimum, and it's unbounded from above. So, the range is something like [a,\infty). To find the minimum, let's start with the "standard" parabola y=x^2, and transform it to the one of this exercise. y=x^2 has minimum 0, and thus its range is [0,\infty). When you multiply it times three, its shape narrows, but the range wont change: [0,\infty) \to [3\cdot 0,3\cdot \infty) = [0,\infty). Finally, when you subtract 5, you shift everythin down 5 units. This transformation affects the range, since you have [0,\infty) \to [0-5,\infty-5) = [-5,\infty)


Image of -3:


To compute f(-3), simply plug x=-3 in the formula:


f(-3) = 3(-3)^2-5 = 3\cdot 9 - 5 = 27-5 = 22


Numbers associated with 43:


We want to see which x value we must choose to get a y value of 43. So, the equation is


y = 3x^2-5 \to 43 = 3x^2-5 \iff 48 = 3x^2 \iff 16 = x^2 \iff x = \pm\sqrt{16} = \pm4

4 0
3 years ago
A line has a slope of 2 and a y intercept of (0,-4) what is the value of y when x=6
Pavel [41]
First we set up an equation with the givens (slope and y intercept):
y = 2x -4
next plug in 6 for x.
y = (2x6) - 4
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And this will give us the value of y: 8.
3 0
3 years ago
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gladu [14]

Answer:

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Step-by-step explanation:

First turn the equation into y=mx+b (slope-intercept form)

Which turns into y= -2x+3

in y=mx+b

m is slope and b is y intercept

3 would be your y intercept

then from the point 0,0 put 2 in as slope

Hope this helps! have a nice day! Please consider making me Brainliest!

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