1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
horrorfan [7]
3 years ago
11

Solve the equation for x. -x^2+14=10

Mathematics
2 answers:
amid [387]3 years ago
7 0
-x^2= -4 then cancels the minus signs on both sides and square root the 4
x= 2
mariarad [96]3 years ago
4 0
-x^2 + 14 = 10

subtract 14 from each side

-x^2 = -4

divide each side by -1

x^2 =4

square root each side

x = 2

hope this helps!!! :)
You might be interested in
A spider ate 25% more bugs this month then last month the spider ate 8 bugs last month
Ierofanga [76]

In this month spider ate 10 bugs.

Step-by-step explanation:

Given,

The spider ate 25% more bugs than last month.

It ate 8 bugs in last month.

To find the number of bugs it ate this month.

<u>Solution</u>

It ate more bugs = 8×25%

=8×\frac{25}{100} = 2

In this month it ate = 8+2 = 10 bugs.

7 0
3 years ago
Read 2 more answers
What is the equation of a line parallel to the x-axis that passes though the point (4,5)? What is the slope of this line
Svetlanka [38]

Slope of a line parallel to the x -axis is 0

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

<h3><u>Solution:</u></h3>

Given that  a line parallel to the x-axis that passes though the point (4,5)

To find: slope of this line and equation of a line

The x -axis is a horizontal line with the equation y = 0 There are an infinite number of lines that are parallel to the x -axis, y = 0

All horizontal lines have slope of 0

If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0

The equation of a straight line parallel to x-axis at a distance b from it is y = b

Here "b" is the y - co-ordinate value

Here given point is (4, 5) so b = 5

The required equation is y = 5

<h3><u>Method 2:</u></h3>

We know slope "m" = 0

Given point is (4, 5)

<em><u>The slope intercept form is given as:</u></em>

y = mx + b --- eqn 1

Where "m" is the slope of line and "b" is the y - intercept

Substituting m = 0 and (x, y) = (4, 5)

5 = 0(4) + b

b = 5

Substitute b = 5  and m = 0 in eqn 1

y = 0 + 5

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

6 0
3 years ago
The graph shown is the solution set for which of the following inequalities?
8090 [49]

Answer:

Option C

Step-by-step explanation:

Shaded region of the given graph shows the solution area of inequality with notation of less than (<).

If the basic function in the form of an equation is,

y=|x|

And the graph is shifted 3 units left horizontally,

Equation will be,

y=|x+3|

Then the solution area of the inequality representing the graph will be,

y

Option C will be the answer.

5 0
3 years ago
If the cheetah sprinted at maximum speed, how far would the cheetah have traveled?
saveliy_v [14]

Answer:

a. D = 1.167t miles per minute

b. 11.67 miles

c. 9.33 miles

d. 5.33 miles

e. 4 miles

f. Therefore, the distance traveled by the cheetah during the first 8 minutes is 1.75 times greater than the distance traveled during the second 8 minutes.

Step-by-step explanation:

<u>Complete Question</u>

<em>"A cheetah sitting under a tree sprints toward its prey at 70 mph. It runs back to its initial spot by the tree at a modest 40 mph. The cheetah has embarked on a round-trip. Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.</em>

<em>If the cheetah sprinted at maximum speed, how far would the cheetah have traveled? </em>

<em>a. Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, units of distance and time must agree. Use the conversion information from the warm-up to write a rate in miles per minute.</em>

<em> </em>

<em>b. Let t = 10 and solve for the distance the cheetah covered in 10 minutes. </em>

<em> </em>

<em>Suppose the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes. </em>

<em />

<em>c. How far would the cheetah have traveled in the first 8 minutes? Show how you arrived at your answer. </em>

<em> </em>

<em>d. How far would the cheetah have traveled in the next 8 minutes? Show how you arrived at your answer. </em>

<em> </em>

<em>e. How much farther did the cheetah travel in the first 8 minutes than in the second 8 minutes? </em>

<em> </em>

<em>f. The cheetah traveled 1.75 times faster for the first 8 minutes than it did for the second 8 minutes. Was the distance traveled during the first 8 minutes 1.75 times greater than the distance traveled during the second 8 minutes? Show the calculation to justify your answer."</em>

<em />

Solution:

a.

The distance equation is D = RT, where

D is distance

R is rate (speed)

T is time

If cheetah travels at max speed, 70 mph, we can say D = 70t

There are 60 minutes in 1 hours, so the distance in miles per minute is:

D=\frac{70}{60t}=1.167t

D = 1.167t miles per minute

b.

Given t = 10 minutes, the distance covered using formula would be

D = RT

D = 1.167 * 10 = 11.67 miles

c.

Since Cheetah traveled at max speed (70mph) for the first leg of 8 minutes, the distance covered would be:

D = RT

D = 1.167 * 8

D = 9.33 miles

d.

Next leg of 8 minutes would be at 40mph, to get that in minutes, we divide by 60, so rate would be 40/60. Hence, distance covered is:

D = RT

D = (40/60) * 8 = 5.33 miles

e.

The distance traveled in first 8 minutes is 9.33

The distance traveled in second 8 minutes is 5.33,

Hence, the more distance is 9.33 - 5.33 = 4 miles

f.

To justify if 9.33 is actually 1.75 times that of 5.33, we multiply 5.33 by 1.75 and see if it is 9.33. So

1.75 * 5.33 = 9.33 [in fact, it is!]

Therefore, the distance traveled by the cheetah during the first 8 minutes is 1.75 times greater than the distance traveled during the second 8 minutes.

4 0
3 years ago
Explain why there are restrictions on the domain of a sequence when the sequence is defined as a function.
iren2701 [21]
The domain of any function is the set of x-values.

For a sequence written as a function, the domain is the set of term numbers.  In a sequence, term numbers describe the position of each term in a sequence.  We start a sequence with the first term (1), the second term (2), etc.

When we are counting positions, we do not count half positions or quarter positions; only whole positions are counted.  It would make no sense to say "the first and a half term"; we go from first to second.

This means the domain of the sequence written as a function is restricted to the set of whole numbers.
7 0
3 years ago
Read 2 more answers
Other questions:
  • X+3y = — 15<br>slove linear system graphically​
    10·1 answer
  • PLEASE HELP
    7·1 answer
  • Find the midpoint of the line segment joining the points ​(-1​,​-1) and ​(-3​,​12).
    6·1 answer
  • The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, w
    15·1 answer
  • A) 60<br> B) 120<br> C) 30<br> D) 90
    9·1 answer
  • Someone listed all the numbers from 0 to 99999 in increasing order. Then he crossed out all the numbers where some other digit(s
    14·2 answers
  • 4.6.PS-12 Question Help Frank is going to plant n vegetable seeds in one garden and 3n + 2 vegetable seeds in another. How many
    13·1 answer
  • Chose whether the fraction and percent are equivalent
    12·1 answer
  • Is the graph increasing, decreasing, or constant?
    8·2 answers
  • A cyclist traveled kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel kilometers, the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!