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mezya [45]
3 years ago
8

What is the goal of solving equations?

Mathematics
2 answers:
Arada [10]3 years ago
7 0

Answer:

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable.

Step-by-step explanation:

Svetllana [295]3 years ago
3 0
<h2><u><em>The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable.</em></u></h2>

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WILL MARK BRAINLIEST PLS HELP
Alborosie

Answer:

-1,0

0,-4

1,-6

Step-by-step explanation:

plug in the first number into x and it gets you the second number

5 0
3 years ago
Georgia ,a florist,charges $10 per flower bundle plus a$15 delivery charge per order what is the slopes​
andrew11 [14]

Answer:

  • <em><u>The slope is $ 10 per flower bundle.</u></em>

Explanation:

The <em>slope</em> of a linear function is the ratio of the change in the dependent variable over the change in the independent variable.

In the problem, the independent variable is the number of flower bundles and the dependent variable is the amount charged.

If you call n the number of flower bundles and c(n) the amount charged per order, the amount charged per order is modeled by linear function:

  • c(n) = 10n + 15

Where, 10 is the amount charged in dolars per flower bundle, and 15 is the delivery charge per order.

Then, for every increment in the number of flower bundles (n) the amount charged will increase in $ 10. That is the slope

  • slope = $ 10 / flower bundle.
3 0
3 years ago
Select the correct answer. A report on Americans’ attitudes toward eating out found that 73% of the respondents to the survey up
LenaWriter [7]

Answer:

D

Step-by-step explanation:

Factors B, C and E are totally irrelevant.

8 0
3 years ago
Read 2 more answers
Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum
Vaselesa [24]

Answer:

Step-by-step explanation:

x+y = 175

y = 175 - x

f(x) = (x+3)(y+4)

= x(175-x) + 3(175-x) + 4x + 12

= 175x - x² + 525 - 3x + 4x + 12

= -x² +176x + 537

f'(x) = -2x + 176

maximum when x = 88

y = 175-x = 87

4 0
3 years ago
What is the result of substituting for y in the bottom equation<br> y=x+3<br> y=x^2+2x-4
8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

<em><u>Solution:</u></em>

Given that,

y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4  ----- eqn 2

<em><u>We have to substitute eqn 1 in eqn 2</u></em>

x + 3 = x^2 + 2x - 4

\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0

\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}

x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}

x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925

Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0
3 years ago
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