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Doss [256]
3 years ago
8

Ron is renting a car for 5 days. He can spend $230

Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0
Sry if i’m wrong but i’m pretty sure he can spend $200 since you alr take out 30.
GaryK [48]3 years ago
6 0
Ron Weasley? o think 200
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Between x = 2 and x = 3, which function has a greater average rate of change than y = 13 -x ?
Marrrta [24]
For this case what you should know is that the slope of the line can be calculated as:
 Tan x = sin x / cos x
 The lines x = 2 and x = 3 have an angle of 90 degrees with respect to the x axis:
 Tan 90 = sin 90 / cos 90 = 1/0 = inf
 Therefore, both lines have a rate of change that tends to infinity.
 answer
 Both lines have the same slope (infinity) Both are greater than m = -1
3 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
4 years ago
Which point on the number line represents 0.059?
frutty [35]

It is in the thousandths place

7 0
4 years ago
Evaluate log2/3 (4/9)​
OlgaM077 [116]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
What is y=2x^2-12x+16 in vertex form
Natasha2012 [34]

Answer:

y = 2(x-3)^2 - 2

Step-by-step explanation:

y = 2x^2 - 12x + 16

y = 2(x^2 - 6x + 8)

y = 2(x^2 - 6x +8 +1 -1) you "complete the square" by bringing the last term (8) up to "half of the middle co-efficient squared". Middle co-efficient is -6, half is -3, squared is 9. To get from 8 to 9 you must add 1 (+1), but if you add 1 you must subtract 1 (-1) so that you don't change the overall value of inside the bracket


y = 2(x^2 - 6x +9) - 2 (bring the -1 outside of the brackets)

y = 2(x-3)^2 - 2

3 0
3 years ago
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