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omeli [17]
3 years ago
9

Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x − 4.

Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0
Y - 2 = 3 ( x - 3 )
Using point-slope form
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A metalworker has a metal alloy that is 25% copper and another alloy that is 60% copper.How many kilograms of each alloy should
Neporo4naja [7]

Answer:

20kg of 25% copper alloy

30kg of 60% copper alloy

Step-by-step explanation:

There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.

A+B = 50

A= 50-B

Let's put the first equation into the second.

0.25A + 0.6B = 0.46 *50

0.25(50-B) + 0.6B =23

12.5 - 0.25B + 0.6B =23

0.35B=23 -12.5

B= 10.5/ 0.35= 30

Then we can solve A

A= 50-B

A= 50-30

A=20

8 0
3 years ago
-21(+5-8)7+-90:-6= yesssssssssssssssssssssssssssssssssssssssssssssssssss
hodyreva [135]

Answer:

yeeeeeeeees

Step-by-step explanation:

yeeeeeeeeeeees

8 0
3 years ago
If f(x) = x/2 - 3 an g(x) = 3x^2 + x-6, find (f+g)(x)
PilotLPTM [1.2K]

Answer:

(f + g)(x) = 3x^2 + 3x/2 - 9

Step-by-step explanation:

In order to find a composite function through addition, you simply add the two equations together.

f(x) + g(x)

x/2 - 3 + 3x^2 + x - 6

3x^2 + 3x/2 - 9

4 0
3 years ago
On a coordinate plane, a solid straight line has a negative slope and goes through (negative 2, 2) and (2, negative 8). Everythi
Alinara [238K]

The linear inequality  y \leq  5/2(x + 2) will not have a shared solution set with the graphed linear inequality. the correct option is D.

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).

m = (-8 -2)/ (2 +2)

m = -10/ 4

m = -5/2

The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.

y \geq -5/2 (x-3)

The linear inequality  y \leq  5/2(x + 2) will not have a shared solution set with the graphed linear inequality.

Thus, the correct option is D.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

3 0
2 years ago
Solve the equation x+3/x-4 = x-5/x+4
Serga [27]

Answer:

\large\boxed{x=\dfrac{1}{2}}

Step-by-step explanation:

\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\\\\\text{Domain:}\ x-4\neq0\ \wedge\ x+4\neq0\\\\x\neq4\ \wedge\ x\neq-4\\\\D:x\in\mathbb{R}-\{-4,\ 4\}

\dfrac{x+3}{x-4}=\dfrac{x-5}{x+4}\qquad\text{cross multiply}\\\\(x+3)(x+4)=(x-4)(x-5)\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(x)(x)+(x)(4)+(3)(x)+(3)(4)=(x)(x)+(x)(-5)+(-4)(x)+(-4)(-5)\\\\x^2+4x+3x+12=x^2-5x-4x+20\qquad\text{combine like terms}\\\\x^2+(4x+3x)+12=x^2+(-5x-4x)+20\\\\x^2+7x+12=x^2-9x+20\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\7x+12=-9x+20\qquad\text{subtract 12 from both sides}\\\\7x=-9x+8\qquad\text{add}\ 9x\ \text{to both sides}\\\\16x=8\qquad\text{divide both sides by 16}\\\\x=\dfrac{8}{16}\\\\x=\dfrac{8:8}{16:8}\\\\x=\dfrac{1}{2}\in D

7 0
3 years ago
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