Solve for x.
2x^2 + 65 = 227

Answers

Answer 1

Answer:

x = ±9

Step-by-step explanation:

Isolate 2x^2 by subtracting 65 from both sides:

            2x^2 = 162

Then x^2 = 81, and x = ±9


Related Questions

How many books could you read in 114 days if you read 2 books every 3 days?

Answers

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

What is the function graphed below?


Answers

9514 1404 393

Answer:

  B.  y = x + 0.5

Step-by-step explanation:

The y-intercept of 0.5 eliminates choices A and C.

When x increases by 1, y increases by 1, eliminating choice D.

The equation of choice B is graphed.

  y = x + 0.5

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7). What can be said about the graph of y= -f(x)

Answers

Since the function y= f(x) is decreasing on the interval (5, 7), y = -f(x) is INCREASING on the interval (5,7), because the slope is inverted due to the negative sign.

The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).

The function:

y = -f(x)

Let f(x) be:

f(x) = -aˣ

Here 'a' is the real number a > 0

f(x) is decreasing on the interval ( 5, 7).

Applying transformation:

y = -f(x)

y = aˣ

Function y is increasing on the interval ( 5, 7).

Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

What is 10° equivalent to?

Answers

Answer:  [tex]\frac{\pi}{18}[/tex]

Step-by-step explanation:

To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.

Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]

y = 3/5x + 5


y = -3/5x + 5


y = 3/5x - 5


y = -3/5x - 5

Answers

Answer:

y= 3/5x+5

Step-by-step explanation:

The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5

The answer is y=3/5+5

Alice invests $5,000 at age 28 from the signing bonus of her new job. She hopes the investments will be worth $20,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?

Answers

Answer:4000 per year

Step-by-step explanation:

write a trigonometric expression for the refracted angle and write the refracted angle in terms of distance d and material width w

Answers

Answer: The Diagram of the refracted angle is attached below

answer :  ∅ = cos^-1 ( w/d )

Step-by-step explanation:

The trigonometric expression for the refracted angle  

with respect to ; Distance ( d )  and width ( w )

Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )

where; adjacent = W . Hypotenuse = d

back to equation 1

Cos ∅ = w / d

∅ = cos^-1 ( w/d )

The total length of a beach is 14.4 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?

Answers

Answer:

240

Step-by-step explanation:

Divide 14.4 by 0.06, as the total distance is 14.4 kilometers and lifeguards are stationed every 0.06 kilometers.

Help me pleaseeee thank you

Answers

The answer is D 21t
For each day is an increase of 21

Answer:

D

Step-by-step explanation:

Time is directly proportional to the Cost. And if you use the calculator you'll still get the answer by substituting the time into 21t

Use the given information to find the minimum sample size required to estimate an unknown population mean μ.

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $4 of the population mean, and the population standard deviation is known to be $25.

Answers

Answer:

151 students must be selected.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be $25.

This means that [tex]\sigma = 25[/tex]

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean

This is n for which M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 1.96*25[/tex]

[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]

[tex]n = 150.1[/tex]

Rounding up:

151 students must be selected.

could someone help please ??

Answers

Answer:

i think it's 0.66666666666 or 1.5

Answer:

The quotient is 1.5.

Step-by-step explanation:

Please anybody help I need to finish this today!!

Answers

Answer:

well Liam is right that is the same statement

A light bulb consumes 3600 watts-hours per day. How many watts-hours does it consume in 3 days and 6 hours?

Answers

Answer:

3 DAYS IS 10800 WATTS.

Step-by-step explanation:

3600 WATTS × 3 DAYS =10800 WATTS.

Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9

Answers

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]

In this question:

Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]

The function is:

[tex]h(x) = -x^2 - 5x + 14[/tex]

[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]

[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]

Then

[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]

The average rate of change of the function over the interval is of 6.

The area of the kite is 30 m2. What is the value of x? Explain

Answers

Answer:

x = 5

Step-by-step explanation:

Sasha is taking cooking class. The total cost in dollars of the classes can be found using the function d = 12.750 + 35, where c is the number of classes attended. Sasha will attend at least one class and no more than eight classes. What is the domain of the situation?​

Answers

Answer:

[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8

Step-by-step explanation:

The domain is number of classes she can/will take, therefore the domain is between 1 and 8.

A local dog shelter has 12 dogs and 8 cats up for adoption. What fraction of the pets are dogs, what percent are cats?

If anyone can figure this out tysm

Answers

12/20 are dogs and 40% is cats


PLSSSS HELLPPPPP!!!

Answers

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

B and F
All u need to do is substitute the numbers given in the possible solutions into the general equation.

Describe how to use a conversion factor to convert units. PLEASE HELP DUE TONIGHT

Answers

Answer:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

Step-by-step explanation:

Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form

Answers

Answer:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo

Step-by-step explanation:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo

9. Simplify 1/2 (4a + b) - 1/4 (4a + b)

А. a
B. a + 1/4 b
C. 2a + 1/4 b
D. 2a - b

Answers

B: a+ 1/4b Hope this helps!

B. [tex]a + \frac{1}{4} b[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

How many solutions are in 5x^2+3x+2=0

Answers

There are exactly 7 solutions

Please help!!!!!!!!!!!

Answers

Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4

Step-by-step explanation:

Put the x where it belongs it’s not hard

WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.​

Answers

Answer:

See image

Step-by-step explanation:

I clicked submit and it was right

Also dude I remember doing this and struggling before

In ΔSTU, s = 98 inches, t = 92 inches and u=70 inches. Find the measure of ∠U to the nearest 10th of a degree.

Answers

Answer: is 43.1

Step-by-step explanation:

Lucy is on her way home in her car. She has driven 22 miles so far, which is one-half of the way home. What is the total length of her drive?

Answers

Answer:

44

Step-by-step explanation:

if 22 miles = 1/2

then, 22 times 2 = 44 miles

ANSWER= 44 miles

What is the domain of y= tan(x)?

Answers

Answer:

Step-by-step explanation:

The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.

The school canteen charges Rs 42 for lunch and Rs 8 for milk for
each day. How much money do you spend in 5 days on these things? Write proper steps. State the property used.

Answers

Answer:

After 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.

Step-by-step explanation:

Given that the school canteen charges Rs 42 for lunch and Rs 8 for milk for each day, to determine how much money do you spend in 5 days on these things, the following calculation must be performed, using the distributive property:

(42 + 8) x 5 = X

50 x 5 = X

250 = X

Therefore, after 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.

please help me!!! justify your answers.​

Answers

Answer:

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer:

g. True

h. False

i. False

Step-by-step explanation:  

g.  

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]  

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]  

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]  

The numerator is 1 * 1 which is 1  

And then the denominator is 7 * 2 which is 14  

That would give you [tex]\frac{1}{14}[/tex]

h.  

The products of two reciprocals is 0  

This is not true  

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.  

Ex:  [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]  

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]  

2 * 8 = 16  

8 * 2 = 16  

[tex]\frac{16}{16} = 1[/tex]

i.  

A whole number does not have a reciprocal  

This is incorrect. If you think about it, a whole number is just the number, over 1  

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

what is the volume measured in cubic centimeters, of the box below? do not include units in your answer

Answers

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

Answer:

Solution given:

l=4cm

b=3cm

h=5cm

volume=l*b*h=4*3*5=60cm³

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