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vodomira [7]
3 years ago
15

What is the equation of the line in standard form

Mathematics
1 answer:
aivan3 [116]3 years ago
6 0

your answer is d because the formula is Ax+By=C

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Write 4.625 as a mixed number in simplest form
Zarrin [17]
4 625/1,000 to 4 25/40 to 4 5/8
4 0
3 years ago
Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
amm1812

Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

8 0
3 years ago
F(x)= 5x^2+6, g(x)= 7x find (f o g)(x), find (g o f)(x), find f(g(-4)), fine g(f(5))
KiRa [710]

(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917

Step-by-step explanation:

Given

f(x) = 5x^2+6\\g(x) = 7x

So

(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917

Hence,

(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917

Keywords: functions, Function composition

Learn more about functions at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

#LearnwithBrainly

7 0
3 years ago
Solve 6n + 10 &lt; 4n + 16
BartSMP [9]

Answer:

n < 3

Step-by-step explanation:

6n + 10 < 4n + 16

( Minus 4n from both sides to isolate + 16 )

2n + 10 < 16

( Minus 10 from both sides to isolate 2n )

2n < 6

( Divide both sides by 2 to isolate n )

n < 3

3 0
3 years ago
Read 2 more answers
What is the percent increase from 1 to 6
Advocard [28]

Answer: 20%

Step-by-step explanation:

1       5

100  x

100*5/1 = 20%

7 0
2 years ago
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