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galben [10]
2 years ago
5

Nx4/5=3/4

Mathematics
1 answer:
allochka39001 [22]2 years ago
5 0

Answer:

1. B

2. A

3. C

4. B

5. A


Step-by-step explanation:

To solve equations with fractions, convert from a mixed number to an improper fraction then use the inverse. The inverse of a fraction is multiplying by the reciprocal of the fraction on both sides.

1.  

N\frac{4}{5}=\frac{3}{4}\\\\\frac{5}{4}*\frac{4}{5}N=\frac{3}{4}*\frac{5}{4}\\\\N=\frac{15}{16}

2.  

\frac{D}{5}=4\\\\\frac{5}{1} *\frac{D}{5}=4*\frac{5}{1}\\\\D=20

3.  

2\frac{1}{4}r=10\\\\\frac{9}{4}r=10\\\\\frac{4}{9} *\frac{9}{4}r=10*\frac{4}{9}\\\\r=\frac{40}{9} \\\\r=4\frac{4}{9}

4.  

\frac{h}{26}=5\\\\\frac{26}{1} *\frac{h}{26}=5*\frac{26}{1}\\\\h=130

5.  

\frac{6}{7}k=6\\\\\frac{7}{6} *\frac{6}{7}k=6*\frac{7}{6}\\\\k=\frac{42}{6} \\\\k=7


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I think the answer is B.23

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Answer:

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Step-by-step explanation:

b^2-c^2-10(b-c)

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8 0
2 years ago
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
saul85 [17]

Answer:

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

3a. y = −6x + 5

2b. y + 2 = −⅔(x + 3)

2a. y - 3 = ⅘(x - 5)

1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

4.

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

b.

2 = 6[1] + b

6

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

a.

4 = −7⁄4[-4] + b

7

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

__________________________________________________________

3.

Plug both coordinates into the Slope-Intercept Formula:

b.

5 = ½[4] + b

2

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

a.

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].

__________________________________________________________

2.

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the <em>Point-Slope Formula</em>, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

1.

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0
2 years ago
Answer this quickly plx​
Natalija [7]

Answer:

10x+200\leq375

Step-by-step explanation:

subtract 200 from both sides

10x\leq175

divide both sides by 10

x\leq17.5 cars

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5 0
3 years ago
The parent function f(x)=x^2 is translated such that the function g(x)=-x^2+6x-5 represented the new function. What is true abou
Alla [95]
<h3>Answer:</h3>
  • g(x) has an axis of symmetry at x = 3
  • g(x) is shifted right 3 units from the graph of f(x)
  • g(x) is shifted up 4 units from the graph of f(x)
<h3>Step-by-step explanation:</h3>

The vertex form of g(x) is ...

... g(x) = -(x -3)² +4

This is offset to the right by 3 and up by 4 from the parent function. (It is also first reflected across the x-axis.)

_____

<em>Vertex form</em>

You know the leading coefficient is -1 because that's what it is for x² in the given form. When you factor -1 from the first two terms, of the given form, you have ...

... g(x) = -1(x² -6x) -5

Half the x coefficient inside parentheses will be the constant in the squared binomial term, so that term is (x -3)². The constant in that square is +9, so adding that value inside and outside parentheses in g(x) gives ...

... g(x) = -1(x² -6x +9) -5 +9

... g(x) = -(x -3)² +4 . . . . . vertex form

_____

<em>About transformations</em>

g(x) = f(x -a) causes the graph of f(x) to be shifted "a" units to the right. For a function f(x) with an axis of symmetry at x=0, it moves the axis of symmetry to x=a.

g(x) = f(x) +a causes the graph of f(x) to be shifted "a" units up.

g(x) = -f(x) causes the graph of f(x) to be reflected across the x-axis.

Here, we have all three of these transformations. First is the reflection:

... f₁(x) = -f(x) = -x²

Then we have shifting to the right 3 units. (also moves the axis of symmetry)

... f₂(x) = f₁(x-3) = -(x -3)²

Finally, we have shifting up 4 units.

... g(x) = f₂(x) +4 = -(x -3)² +4

4 0
3 years ago
Read 2 more answers
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