which of the numbers listed below are solutions to the equation?
Check all that apply.
x^2 = 7
A. None of these.
B. square root of 7
C. 49
D. 14
E. negative sqr root of seven
F. -49
The solution for the given equation is square root of 7. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x²=7.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
For the given equation x²=7, square root on both the sides.
That is, x=±√7
Therefore, the solution of the equation is x=±√7.
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Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?
we have
[tex] y = -6x^{2} + 3x + 2 [/tex]
we know that
the vertex form of the vertical parabola equation is equal to
[tex] y=a(x-h)^{2} +k [/tex]
where
(h,k) is the vertex of the parabola
To find the equation rewritten in vertex form let's factor the equation
Factor the leading coefficient
[tex] y = -6(x^{2} - 0.5x) + 2 [/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex] y = -6(x^{2} - 0.5x+0.0625-0.0625) + 2 [/tex]
[tex] y = -6(x^{2} - 0.5x+0.0625) + 2 +0.375 [/tex]
[tex] y = -6(x^{2} - 0.5x+0.0625) + 2.375 [/tex]
Rewrite as perfect squares
[tex] y = -6(x-0.25)^{2} + 2.375 [/tex]
therefore
the answer is
[tex] y = -6(x-0.25)^{2} + 2.375 [/tex]
Use the graph below for this question:
graph of parabola going through negative 1, 7 and negative 3, 9.
What is the average rate of change from x = −1 to x = −3?
5
−3
1
−1
Answer:
The correct option is 4. The average rate of change from x = −1 to x = −3 is -1.
Step-by-step explanation:
It is given that the graph of parabola going through (-1,7) and (-3,9).
It means the value of at x=-1 is 7.
[tex]f(-1)=7[/tex]
The value of at x=-3 is 9.
[tex]f(-3)=9[/tex]
The slope of a function f(x) for the interval [a,b] is
[tex]m=\frac{f(b)-f(a)}{b-a}[/tex]
We have to find the average rate of change from x = −1 to x = −3. Here a=-1 and b=-3. So the average rate of change from x = −1 to x = −3 is
[tex]m=\frac{f(-3)-f(-1)}{-3-(-1)}[/tex]
[tex]m=\frac{9-7}{-3+1}[/tex]
[tex]m=\frac{2}{-2}[/tex]
[tex]m=-1[/tex]
The average rate of change from x = −1 to x = −3 is -1. Therefore the correct option is 4.
What percent of 88 is 72.6? ...?
72.6 is 82.5 percent of 88. To find what percent 72.6 is of 88, divide 72.6 by 88 and then multiply by 100%. This gives you 82.5%, which means 72.6 is 82.5 percent of 88.
Explanation:To find what percent 72.6 is of 88, you can use the formula:
Percentage = (Part / Whole) × 100%
In this case, the 'Part' is 72.6 and the 'Whole' is 88. Plugging these numbers into the formula:
Percentage = (72.6 / 88) × 100%
Percentage = 0.825 × 100%
Percentage = 82.5%
So, 72.6 is 82.5 percent of 88.
is 15/15 greater than 9/15
Yes because
15/15 equals 1 whole
While 9/15 is not equal to one
Meaning 1 whole is bigger than 9 out of 15 of something
The radius of a circle is estimated to be 14 inches, with a maximum error in measurement of ±0.08 inches. Use differentials to
estimate the maximum error in calculating the area of the circle using this estimate.
The maximum error in the area of a circle with an estimated radius of 14 inches and a measurement error of "+/-0.08 inches" can be calculated using differentials as approximately 7.03 inches².
To estimate the maximum error in calculating the area of a circle with a radius of approximately 14 inches (with a measurement error of "+/-0.08 inches"), we can use differentials. The formula for the area of a circle is A =
^(2), where π is a constant (approximately 3.14159). The differential dA, which represents the change in area, is given by dA = 2πr * dr, where dr is the change in radius.
With an error in radius measurement of"+/-0.08 inches", we have dr = 0.08 inches. Therefore, the error in the area, referenced as dA, can be calculated as:
dA = 2 * π * 14 inches * 0.08 inches
This gives dA ≈ 2 * 3.14159 * 14 * 0.08 inches², which can be calculated to determine the maximum error in the area.
After performing the calculation, we find that the maximum error in the area of the circle is about 7.03 inches².
How do you number 3 and can you explain everything for detail please
The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of Coho salmon. (b) Estimate the values of S '(5) and S '(25).
Calculating S'(5) and S'(25) involves estimating the slope of the tangent to the temperature-speed graph of Coho salmon at those temperatures. The provided data is insufficient for an exact calculation and more information or a graph is needed.
Explanation:The influence of temperature on the maximum sustainable swimming speed (S) of Coho salmon can be analyzed using calculus to find the rate of change of speed with respect to temperature, commonly represented as S'(T). To estimate the values of S'(5) and S'(25), one would typically use a graph of S versus T and look for the slope of the tangent to the curve at T=5 and T=25.
However, the given data is insubstantial for such an analysis. More context or a graph is needed to provide a specific estimate. Generally, one might use the values given for S at temperatures nearby T=5 and T=25 to calculate the approximate rates of change at these points through the use of difference quotients or other numerical methods if a graph or formula is not available.
What is 50/100 in its simplest form as a fraction?
Answer: 1/2
Step-by-step explanation: 1/2 bc 50 and 50 is like 1/2 and 1/2
Hope this helped ya! :}
Edit: js realized this was 7 years ago-
One die is rolled. List the outcomes comprising the following events:
1) Event the die comes up at most 2
2) Event the die comes up 3
3) Event the die comes up even
A single six-sided die has specific outcomes for events: at most 2 consists of {1, 2}, rolling a 3 consists of {3}, and rolling an even number includes {2, 4, 6}.
When a single die is rolled, the possible outcomes for different events are as follows:
The event where the die comes up at most 2 includes the outcomes {1, 2}.
The event where the die comes up 3 includes the single outcome {3}.
The event where the die comes up even includes the outcomes {2, 4, 6}.
It is important to list all possible outcomes clearly to understand the probabilities for each event. For instance, the probability of each of these events can be calculated by counting the favorable outcomes and dividing by the total number of possible outcomes, which is 6 in the case of a single six-sided die roll.
What percent us 28 of 70?
(2r)^5, write in expanded form.
Metrics are based on the british system of weights and measures. true false
Answer: it is false :)
what is 34 47+4788×63÷799-69°08 (839+578)=
At how many points does the graph of the function below intersect the x-axis?
y = 2x2 - 3x + 1
A.2
B.1
C.0
Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.)
(1)-(1/6)+(1/36)-(1/216)+... ...?
A triangular pyramid has ___ flat faces
2280÷60 how to work it out
Joel earns $1,500 per month. If he spends $375 on rent each month, what percent of his income does he spend on rent? A. 20% B. 40% C. 331/3% D. 25%
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.If no money was deposited into or withdrawn from the account, how much money was in the account after 3 years?Round your answer to the nearest cent.Enter your answer in the box.$
In a circle, a 90 degree sector has area of 64pi ftsqd. what is the radius of the circle? ...?
Answer:
16
Step-by-step explanation:
at the flower shop, there are 5 times as many roses as sunflowers. if there are 252 roses and sunflowers altogether, how many roses are there? how many sunflowers are there?
Clarence works at least 5 hours but not more than 7 hours. He earns $11.60 per hour. The function f(t)=11.6tf(t)=11.6t represents the amount of money he earns for working t hours.
What is the practical range of the function?
A: all multiples of 11.6 between 58 and 81.2, inclusive
B: all real numbers from 5 to 7, inclusive
C: all real numbers
D: all real numbers from 58 to 81.2, inclusive
The solution is, the practical domain is all real numbers from 5 to 7, inclusive. and the practical range is all real numbers from 58 to 81.2.
What is range ?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
Here, we have,
Clarence works more than 5 hours and less than 7 so the practical domain is all real numbers from 5 to 7, inclusive.
Function: f(t) = 11.6 t
Restrictions: 5 ≤ t ≤ 7
Domain: possible values of t: all real values between 5 and 7 inclusive
Range: possible values of f(t): from 11.6 * 5 to 11.6 *7 = from 58 to 81.2, inclusive.
Using this domain, the practical range is:
From f(5) = 11.6(5) = 58
To f(7) = 11.6(7) = 81.2
inclusive.
Answer:
the practical domain is all real numbers from 5 to 7, inclusive. and the practical range is all real numbers from 58 to 81.2
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Find three ratios equivalent to the ratio 3 to 4
Is this function linear or nonlinear? y=1x
The degree of the function is one. Then function y = x will be a linear function.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
If the degree of the equation is one. Then the function will be a linear function.
The function is given below.
y = 1x
y = x
The power of the variables 'x' and 'y' will be one. Then the function is a linear equation.
The degree of the function is one. Then function y = x will be a linear function.
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16.
Write the following ratio in simplest form.
8 years to 14 months
814814
4747
7474
487487
Suppose that a "code" consists of 4 digits, none of which are repeated. (a digit is one of the 10 numbers 0,1,2,3,4,5,6,7,8,9) how many codes are possible?
For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = csc(x) have vertical asymptotes?
For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = cot(x) have vertical asymptotes? ...?
Answer:
coincides with
Step-by-step explanation:
just got it right on edg
Vertical asymptotes at x = {-2π, -π, 0, π, 2π}
Given: [tex]y=csc(x)[/tex]
To find : For what values of x , it has vertical asymptotes.
Explanation:
A given function will have vertical asymptotes when its denominator becomes equal to zero.
We know that, [tex]csc(x)=\frac{1}{sin x}[/tex]
So, [tex]Sin(x)=0[/tex] will give vertical asymptotes
x = {-2π, -π, 0, π, 2π}
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Rewrite 11/15 as a decimal number. Round to the nearest thousandth. 1.363 1.364 0.733 0.734
the expression 13x+5 represents the number of marbles you have after purchasing 13 bags of marbles. a. what does the term 13x represent b. what does 5 represent c. what does x represent