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UNO [17]
3 years ago
13

Find the solution set of the inequality4x - 1<11.​

Mathematics
2 answers:
Nikitich [7]3 years ago
7 0

Answer:

x<3

Step-by-step explanation:

4x-1<11

4x<11+1

4x<12

divide by 4 each side

x<3

sammy [17]3 years ago
6 0

Answer:

3

Step-by-step explanation:

4× - 1<11

Group like terms

4×<11+1

4×<12

4×/4<12/4

x<3

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Thanks for the help
Brrunno [24]
The answer is B.

In the question it says "the intercept of 6" which means the equation has to have +6 in the answer, and there is only one answer choice containing that.
4 0
3 years ago
Helpppppppppppppppppppppppp
pogonyaev

Answer:

I'm not sure about "11" but  12. is "by the definition of right angles", and 16. is "by the SAS(side angle side) congruency theorem"

3 0
3 years ago
Which expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 4x 2x – 10 5x 4.
kondaur [170]

Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

The equations given in the problem are the linear equations.

<h3>Linear equation</h3>

Linear equation are the equation which has the highest power of the unknown variable is 1.

Given-

1) The given expression in the problem is,

f(x)=7x-14

Rewrite the equation as,

f(x)=(7x-14)

Take out the negative sign from the bracket,

f(x)=-(-7x+14)

Rewrite the equation with positive terms first.

f(x)=-(14-7x)

Hence the given equation is equivalent to the option 1.

2) The given equation,

f(x)=7x-14

On solving further take out the 7 common from the bracket,

f(x)=7(x-2)

Thus the given equation is equivalent to the option 2.

3) The given equation,

f(x)=7x-14

Split the term of <em>x,</em>

<em />f(x)=4x+3x-14<em />

Rewrite the equation,

f(x)=3x-14+4x

Hence the given equation is equivalent to the option 3.

4) The given equation,

f(x)=7x-14

Split the term of <em>x </em>and constant term,

<em />f(x)=5x+2x-10-4<em />

Rewrite the equation,

f(x)=2x-10+5x-4

Hence the given equation is not equivalent to the option 4.

Thus the expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

Learn more about the linear equation here;

brainly.com/question/11897796

6 0
2 years ago
The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul
kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola?  namely, at what cost for how many bats?

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill

6 0
3 years ago
Mark has a board that is 12 feet long.He cuts the board into 8 pieces that are the same length.Hiw long is each piece?
jonny [76]

Answer:

1.5

Step-by-step explanation:

12/8=1.5

3 0
3 years ago
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