Step-by-step explanation:
zeroes = x intercept.
to find the x intercept we let y or in this case p(x) = 0
Hence,
-9x^2 + 1 = 0
-9x^2 = -1
x^2 = 1/9
x = 1/3
x = -1/3
A quadratic equation has the solutions x- -5 and x=4 What are the x-intercepts of the graph of the function?
FInd the value of x, between -π and π, satisfying the following inequality.
tan x < cos x
Answer:
(-1.570796, 0.666239) ∪ (1.570796, 2.475353)
Step-by-step explanation:
A graphing calculator can give you the numerical values that limit the intervals of the solution. The attachment shows this solution.
__
algebraic solutionWe can multiply by cos(x) and solve the resulting quadratic inequalities. Two cases arise:
tan(x) -cos(x) < 0 . . . . . . subtract cos(x)
sin(x) -cos(x)² < 0 . . . . . . . for cos(x) > 0
sin(x) -cos(x)² > 0 . . . . . . . for cos(x) < 0 (inequality is reversed)
Replacing cos(x)² with (1 -sin(x)²) gives quadratic equations in sin(x). (We're using <> to mean "could be greater than; could be less than, depending on cos(x)".)
sin(x) -(1 -sin(x)²) <> 0
sin(x)² +sin(x) -1 <> 0 . . . . put in standard form
(sin(x)² +sin(x) +1/4) -1 -1/4 <> 0 . . . . complete the square
(sin(x) +1/2)² -5/4 <> 0 . . . . . write as a square
((sin(x) +1/2)-√(5/4))·((sin(x) +1/2) +√(5/4)) <> 0 . . . . factor
Note that the second factor is always positive, so it has no impact on the intervals of solution.
__
The zeros of the first factor are located at ...
sin(x) = 1/2(-1 +√5)
x ≈ 0.666239 radians, and π - 0.666239 radians ≈ 2.475353 radians
The sine function will be positive between these angle values.
__
However, the intervals of solution to the inequality depend on the cosine function. Effectively, the solution space is where (sin(x) +(1-√5)/2) and cos(x) have opposite signs.
cosine positiveThe cosine function is positive for -π/2 < x < π/2, so one of the intervals of solution will be ...
-π/2 < x < arcsin((√5 -1)/2), approximately (-1.570796, 0.666239)
cosine negativeThe cosine function is negative for -π < x < -π/2 and for π/2 < x < π. The other interval of solution will be ...
π/2 < x < (π -arcsin((√5 -1)/2)), approximately (1.570796, 2.475353)
_____
Additional comment
In the above, we have used α=arcsin( ) to mean the values of angle in the principal branch: -π/2 ≤ α ≤ π/2. That is why we have to subtract it from π to find the other end of the interval of interest.
What is the median of the data set?
10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78
Answer:
We can see that the number in the middle is 36. Hence the median of the data set is 36 the median of a data set is the number placed at the middle of a data after rearrangement either in ascending order or descending order.
Given the dataset 10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78
Step-by-step explanation:
36
Answer:
36
Step-by-step explanation:
10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78
The median is the middle number of the set
There are 11 data points so the middle is 11/2 = 5.5
Round up so the middle is the 6th data point
10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78
The median is 36
three teachers handed out math and science textbooks for their classes two teachers had 21 students each and the last teacher had 22 how many textbooks were handed out altogether
help me pls with this problem sooon
Answer:
64 textbooks
Step-by-step explanation:
the first two teachers had 21 students each that's 21+21=42
the other teacher had 22 students so apparently all the textbooks handed to the students are,21+21+22=64
This pattern follows the rule add 9. What are the next 3 terms?
An image of a pattern. Term one has 9 triangles, term two has eighteen triangles, term three has twenty seven triangles.
36, 45, 54
39, 48, 57
42, 51, 60
54, 63, 72
Answer: A
Step-by-step explanation: 27+9 = 36
HELP
Select the correct answer.
The points scored per game by a professional basketball player are represented by the box plot below.
If the player scores 9 points and 35 points in the next two games, how is the median of the data set affected?
А.
The median points per game is not affected.
B.
The median points per game decreases.
C.
The median points per game increases.
D.
The effect on the median points per game cannot be determined.
Answer:
it is A the meidian is the middle number in a orderd set
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
option ( c ) [tex]\huge\pink{1 \frac{2}{5} }[/tex]
step by step explanation -
well , the question asks us to find the difference between the two terms given as mixed fractions ~
tho it's not that difficult to simplify a problem in mixed fraction , but solving the problem by first converting it to an improper fraction reduces the risk of mistakes ! so let's do the question by that way ~
[tex]4 \frac{4}{5} - 3 \frac{2}{5} \\ \\ converting \: into \: improper \: fraction \: we \: get \\ \\ \implies \: \frac{5 \times 4 + 4}{5} \: \: - \: \: \frac{5 \times 3 + 2}{5} \\ \\ \implies \: \frac{24}{5} \: \: - \: \: \frac{17}{5} \\ \\ since \: the \: denominators \: are \: same \: we \: can \: simply \: subtract \: the \: terms \\ \\ \implies \: \frac{7}{5} [/tex]
we're done with our solution tho , but since the options given are in mixed fraction , so let's convert the improper fraction , obtained as the answer , into a mixed fraction !
[tex] \frac{7}{5} = 1 \frac{2}{5} \\ [/tex]
hope helpful :D
Answer:
1 2/5
Step-by-step explanation:
subtract it and then add it and u will have your answer
3 . 7 x - x =
Hurry please correct answers only fake answers will get you reported .
Answer:
20x
Step-by-step explanation:
help me please need help
Answer:
Step-by-step explanation:
Trignomentary - real life problem.
We can find the height of the tower without measuring it. WE can find the height of the tower when we know,
1. A point which at a distance 'x' from the foot of the tower.
2. The angle of elevation is known
Eg: A tower stands vertically on the ground. From a point on the ground which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is 60°. Find the height of the tower.
AB - tower
We know the adjacent side of 60° and we have to fing the opposite side of 60°. So, we have to use
[tex]\sf \ Tan \ 60^\circ=\dfrac{Opposite \ side \ of \ 60^\circ}{Adjacent \ side \ of \ 60^\circ}[/tex]
[tex]1.732 = \dfrac{AB}{BC}\\\\1.732=\dfrac{AB}{15}\\\\1.732*15=AB[/tex]
AB = 25.98 m
Height of the tower ≈ 26 m
Which is equivalent to
4x - 6y?
2(x - 3y) or -2(-2x + 3y)
I think it’s -2(-2x + 3y) but I am unsure because I got -4 instead of 4
Step-by-step explanation:
Really appreciate it!!! Have a blessed day!!!!
Answer:
A.
Divide each dimension by scale factor of 5
Big Δ dimensions : Small Δ dimensions
35 : 7
30 : 6
15 : 3
a = 7 in
b = 6 in
c = 3 in
Hope this helps and God bless!
solve for n: -1/2 (n + 8) +3/4
[tex]\frac{1}{2} (n+8) + \frac{3}{4} [/tex]
[tex]\frac{1(n+8)}{2} + \frac{3}{4} [/tex]
[tex]\frac{n+8}{2} + \frac{3}{4} [/tex]
[tex]\frac{2(n+8)}{4} + \frac{3}{4} [/tex]
[tex]\frac{2(n+8) + 3}{4} [/tex]
[tex]\frac{2n + 16 +3}{4} [/tex]
[tex] \frac{2n + 19}{4} [/tex]
What is the sum of 16x^3 – 5x– 2 and 6x^2 +3x+ 5?
Answer: 6x^2
Step-by-step explanation:
I need help in this is due by Friday.
Answer:
top answer is 'c' and the bottom is 'a'
Compare using >, <, or=.
3 miles
5,000 yards
Answer:
>
Step-by-step explanation:
1 mile =1760 yards
so 3 mile= 1760x3=5280yard
so, 5280 yards is more than 5000 yards
In the tessellation below, what transformation(s) maps Brick A onto Brick B?
a glide reflection
a rotation followed by translation
a rotation followed by a reflection
reflection followed by a translation
Answer:
a rotation followed by a translation
Step-by-step explanation:
i did it
The rotation is followed by a translation.
We have given that,
a glide reflection
a rotation followed by a translation
a rotation followed by a reflection
reflection followed by a translation
We have to determine the tessellation below, and what transformation(s) maps Brick A onto Brick B.
What is rotation?
Rotation is the circular movement of an object around an axis of rotation. A three-dimensional object may have an infinite number of rotation axes.
Therefore the rotation is followed by a translation.
To learn more about the rotation visit:
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Look at the following rules for two number patterns. Both patterns start with 40.
Pattern P: "Subtract 2"
Pattern Q: "Subtract 4"
Answers are:
Excluding the first term, a term in Pattern P is always 2 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 4 greater than its corresponding term in Pattern P.
Starting with 0, the difference in the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.
Answer:
Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.
Step-by-step explanation:
P Q Difference
1 40 40 0
2 38 36 2
3 36 32 4
4 34 28 6
5 32 24 8
6 30 20 10
7 28 16 12
8 26 12 14
9 24 8 16
10 22 4 18
==================
Answers are:
Excluding the first term, a term in Pattern P is always 2 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 4 greater than its corresponding term in Pattern P.
Starting with 0, the difference in the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.6 Résolvez les équations suivantes.
a. x + 4 = 12
d. -14 = 2x
b. x + 5,1 = x + x
e. 5 = 4x
C. 6x = x – 15
f. x + 8 = 2x + 3
=
=
X égal à combien
Answer:
Yo espero yo ayuda tu résolve estes équations
Step-by-step explanation:
a) x=8
b) x=-7
c) x=5,1
d) x=5/4
e) x=-3
f) x=5
Lo siento, mi español no son muy bien.
Jenny scored a 70% on a 50 point test while Hannah scored 80% on the same test. Enter the difference.
Answer:
5
Step-by-step explanation:
70% is 0.7, multiply 0.7×50=35 points on Jenny's test. Hannah scored 0.8×50=40 points on the test. Subtract 40-35 for the answer of 5
I’ve been stuck on this problem for the last 10 minutes and really need help! Here’s the problem:
Answer:
25.5
Step-by-step explanation:
the sum of an infinite geometric series with first term a and common ratio r<1 is given by a/(1-r).
------------------------------------
the sum of a given infinite geometric series is 200, and the common ratio is 0.15. What is the second term of this series?
Solve:
a/(1-r) = 200
a/0.85 = 200
a = 170 (that is the 1st term)
----
2nd term: a*r = 170*0.15 = 25.5
--------------------------------------
You are ordering sweatshirts for your baseball team. How many more large sweatshirts than medium sweatshirts do you order?
Answer:
The answer is 10 and i know because im smart
Step-by-step explanation:
because im smart
Answer:
24
Step-by-step explanation:
add 8 and 12 and 4 and its 24
The table shows the number of hours that a group of friends been in the first week training to run a marathon. In the second week they each add five hours to their training times what are the mean median mode and range of times for the second week
Jeff - 9
Mark - 5
Karen - 5
Costas - 5
Brett - 7
Nikki - 6
Jack - 7
A.
Mean is 10
Median is 11
Mode is 11.3
Range is 4
B.
Mean is 11
Median is 11.3
Mode is 10
Range is 0.3
C
Mean is 11.3
Median is 11
Mode is 10
Range is 4
D
Mean is 11.3
Median is 11
Mode is 10
Range is 0.3
Please help this is a test question
II. Let us see what you have learned in this module by
completing the following statements.
The Central Limit Theorem implies the following important
ideas in statistics:
1. The sample mean can be considered approximately
normally distributed if the sample size is
2. If the population is not normally distributed, or if we don't
know of its distribution, the
allows us to
conclude that the distribution of the sample mean will be
normal if the sample size is sufficiently large.
3. The population mean is equal to the
of the
sampling distribution. That is u = ur.
4. Mean of the sampling distribution of the sample mean is
equal to the population mean: H. - = H and the
of the sampling distribution of the sample
mean (sampling with replacement)
is equal to: 0,7
5. The Central Limit Theorem describes the
of the sample mean taken from a
population that is not normally distributed
o
A designer makes the sketch shown below for a new lamp. What is the approximate area of her sketch?
The lamp shade is a trapezoid. Its area is approximately square inches. The bases of the lamp are two trapezoids. The area of each is approximately square inches. In total, the area is approximately square inches.
The approximate area of the sketch for the new lamp is : A = 70 [tex]in^{2}[/tex]
What is a TrapeziumA trapezium is one pair of parallel sides and one pair of non-parallel sides.
from the diagram we can extract the necessary information needed to find the area of the trapezium.
for the first trapezium (lamp shade)
a = 4 in
b = 6 in
h = 6 in
[tex]A_{1}[/tex] = [tex]\frac{a + b}{2}[/tex] * h
[tex]A_{1}[/tex] = [tex]\frac{4 + 6}{2}[/tex] * 6
[tex]A_{1}[/tex] = [tex]\frac{10}{2}[/tex] * 6
[tex]A_{1}[/tex] = 5 * 6 = 30[tex]in^{2}[/tex]
For the area of the second trapezium (lamp base)
a = 4 in
b = 6 in
h = 4 in
[tex]A_{2}[/tex] = [tex]\frac{a + b}{2}[/tex] * h
[tex]A_{2}[/tex] = [tex]\frac{4 + 6}{2}[/tex] * 4
[tex]A_{2}[/tex] = [tex]\frac{10}{2}[/tex] * 4
[tex]A_{2}[/tex] = 5 * 4 = 20[tex]in^{2}[/tex]
For the area of the third trapezium (lamp base)
a = 6 in
b = 4 in
h = 4 in
[tex]A_{3}[/tex] = [tex]\frac{a + b}{2}[/tex] * h
[tex]A_{3}[/tex] = [tex]\frac{6 + 4}{2}[/tex] * 4
[tex]A_{3}[/tex] = [tex]\frac{10}{2}[/tex] * 4
[tex]A_{3}[/tex] = 5 * 4 = 20[tex]in^{2}[/tex]
The total Area of the trapezium (lamp)
A = [tex]A_{1}[/tex] + [tex]A_{2}[/tex] + [tex]A_{3}[/tex]
A = 30 + 20 + 20
A = 70 [tex]in^{2}[/tex]
Inconclusion The approximate area of the sketch for the new lamp is : A = 70 [tex]in^{2}[/tex]
Learn more about Trapezoid : https://brainly.com/question/1463152
Answer:
Step-by-step explanation:
20, 30, 70
Which function is graphed on the right? y = 2x 3 – 2 y = 2x–3 2 y = 2x–2 3 y = 2x–2 – 3
The equation of the function which is graphed on the right is specified by: Option C: y = 2^{x-2} + 3
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Since there is no graph available, we will work with the image attached below.
The function, as visible is tending to output 3 and x goes more and more negative.
That means:
[tex]\lim_{x\rightarrow -\infty}f(x) = 3[/tex] (assuming the predicted pattern is true).
Checking this for all the options:
Case 1: [tex]y = f(x) = 2^{x+3} - 2[/tex]
[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x+3} -2 = -2[/tex]
Thus, the graph doesn't belong to this function.
Case 2: [tex]y = f(x) = 2^{x-3} + 2[/tex]
[tex]\lim_{x\rightarrow -\infty} f(x) = \lim_{x\rightarrow -\infty}2^{x-3} + 2 = 2[/tex]
Thus, the graph doesn't belong to this function.
Case 3: [tex]y = f(x) = 2^{x-2} +3[/tex]
[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x-2} +3 = 3[/tex]
Thus, the graph may belong to this function. (we are still not sure since the last option may also have same limit, which if is found to be true, then additional findings would've to be done too).
Case 4: [tex]y = f(x) = 2^{x-2} - 3[/tex]
[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x-2} -3 = -3[/tex]
Thus, the graph doesn't belong to this function.
Thus, assuming at least one option is true, the graph of the considered function on the right is of the function [tex]y = f(x) = 2^{x-2} +3[/tex]
Learn more about graphing functions here:
https://brainly.com/question/10166124
Answer:
c
Step-by-step explanation:
10 squares and 8 circles. What is the simplest ratio of circles to total shapes?
Answer:
8:18
Step-by-step explanation:
Find the value of c.
12 cm
с
40 cm
Perimeter
100 centimeters
C=
centimeters
Submit
Answer:
[tex]c + c \: + 40 + 12 = 100 \\ 2c + 52 = 100 \\ 2c = 100 - 52 \\ 2c = 48 \\ c = \frac{48}{2} \\ c = 24cm[/tex]
Answer: 24
Explanation: 12+40 is 52, perimeter is adding up all the sides. since perimeter is 100, then you have to see what numbers you add to get 100. 100-52 is 48. since there are 2 sides, you divide 48 by 2, which is 24.
I hope this is helpful xx
Colter rides his dirt bike 8800 yards in 3 days how many miles did he ride?
Answer: 5miles
Step-by-step explanation: Convert 8800yards to miles. Divide by 1760
In which quadrant does Ø lie if the following statement is true:
The perimeter of a rectanglular pool is 294 m. If thr width of the pool is 54 m what is its length
Answer:
L=93
Step-by-step explanation:
So basically you need to know the formula beforehand the formula to find the length of a rectangle what is P=2(l+w) so to find for L the equation will be L=P/2-W=294-54=93 Therefore 93 is L