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Pie
3 years ago
9

Solve for all values of x by factoring. x^2-25= x 2 â’25= 0

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

x = ± 5

Step-by-step explanation:

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take square root of both sides )

x = ± \sqrt{25} = ± 5

That is x = - 5, x = 5

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Find the inequality represented by the graph.
baherus [9]

Answer:

y > 1/3 x - 3

Step-by-step explanation:

First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).

Find the change of y over the change of x to get the slope of the line.

(-2 - (-3))/(3 - 0) = 1/3

Since the line intercepts the y axis at (0, -3), the equation of the line would be

y = 1/3x - 3

We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents

<u>y > 1/3 x - 3</u>

8 0
3 years ago
The size of a bicycle is determined by the diameter of the wheel. You want a 24-in bicycle for Christmas. What is the circumfere
scZoUnD [109]
C=d x pi
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8 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0
3 years ago
Find the value of x in the figure below
Sonbull [250]

Answer:

Step-by-step explanation:

x = 1.0

how:

we know that the Hyp of the small triangle is  \sqrt{2}

since we know that ,  then  

\sqrt{2} = 1^2 + 1^2   by  Pythagoras theorem

so each side is 1  :)

8 0
2 years ago
Naomi has earned $54 mowing lawns the past 2 days. She worded 21/2 hours yesterday and 41/4 hourse today. If Naomi is paid the s
Klio2033 [76]
She worked 2 and 1/2 hours yesterday, and today she did 4 and 1/4 hours.

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\bf \cfrac{5}{2}+\cfrac{17}{4}\impliedby \textit{our LCD will be 4}\implies \cfrac{(2\cdot 5)+(1\cdot 17)}{4}&#10;\\\\\\&#10;\cfrac{10+17}{4}\implies \cfrac{27}{4}\implies \stackrel{total~hours}{6\frac{3}{4}}&#10;\\\\\\&#10;\cfrac{\stackrel{wages}{54}}{\stackrel{hours}{6\frac{3}{4}}}\implies \cfrac{54}{\frac{27}{4}}\implies \cfrac{\frac{54}{1}}{\frac{27}{4}}\implies \cfrac{54}{1}\cdot \cfrac{4}{27}\implies \cfrac{216}{27}\implies 8~\frac{\$}{hr}
6 0
3 years ago
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