Answer:
Yes.
Step-by-step explanation:
When [tex]x=15[/tex],
[tex]x+9=15+9=24 > 21[/tex].
Answer:
Yes this is true
Step-by-step explanation:
24 is greater than 21; which means this statement is always true.
what are the key features of the graph of a trigonometric function? How do you find them from a graph or an equation?
Answer:
The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.
They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).
The table represents quadratic function g. Which statement is true about the function?
I
-5
-4 -3
-2 -1 0
-1
0
-1
-4 -9 -16
O A. The minimum occurs at the function's x-intercept.
O B.
The maximum occurs at the function's x-intercept.
O C.
The maximum occurs at the function's y-intercept.
The minimum occurs at the function's y-intercept.
O D.
Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:
[tex]\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}[/tex]
From inspection of the table, we can see that:
[tex]g(-5) = -1[/tex] and[tex]g(-3) = -1[/tex]This indicates symmetry.
The line of symmetry is the mid-point between the two x-values.
Therefore, the line of symmetry is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a maximum.
As the y-value of the vertex is 0, the maximum occurs at the function's x-intercept.
Answer:
B
Step-by-step explanation:
Finding the line of symmetry :
⇒ Two x-values have the same y-coordinate → (-5) and (-3)
⇒ This means the symmetry is exhibited and it lies between these 2 x-values
⇒ Line of symmetry : x = -4
=============================================================
Now, on plotting these points on a graph we see that this graph has a negative coefficient.
⇒ This means this graph will have a maximum point as the vertex
⇒ The vertex lies on the line of symmetry, hence the vertex (according to the graph and table) is (-4, 0)
Hence, we can say that the maximum occurs at the function's x-intercept.
Solve three fourths times two thirds
Answer:
1/4
Step-by-step explanation:
3/4 x 2/4 = 6/24
6/24 simplified is 1/4
Please mark Brainliest!!
Answer:
6/12 or 1/2
Step-by-step explanation:
Start by multiplying the numerators
3 x 2 = 6
Then multiply the denominators
4 x 3 = 12
Then you get your answer of 6/12
But if you want it simplified then divide both the denominator and numerator by 6 and you will get your final answer of
1/2
Hope this helped
Please mark me the Brainliest
which is the value of the expression 4 / 1/8
Answer: Your answer is going to be 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
1/8 is nothing but 0.125
4/.125 = 32
.125 goes into four 32 times.
(5 1/6-x)*2 7/10-1 3/14=3 2/7
Answer:
3.5
Step-by-step explanation:
9+2×42+6-2
Please show the work
Answer:
The answer is 97
Step-by-step explanation:
According to PEMDAS, we will solve the multiplication first. 2 × 42 is 84. Next, we will add or subtract from left to right. 9 + 84 + 6 – 2 is 97, the answer to our problem.
9 + 2 × 42 + 6 - 2
Multiply 2 and 42 to get 84.
9 + 84 + 6 - 2
Add 9 and 84 to get 93.
93 + 6 - 2
Add 93 and 6 to get 99.
99 - 2
Subtract 2 from 99 to get 97.
97 ===> Answer
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04}}}}}}}[/tex]
what the 2 soultion answer to
y = 6x − 4
y = 5x − 3
[tex]y= 6x -4~~~~~~...(i)\\\\y = 5x -3~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~6x -4 = 5x -3\\\\\implies 6x -5x = -3 + 4\\\\\implies x = 1\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 6(1) -4 = 2\\\\\text{Hence,}~ (x,y) = (1,2)[/tex]
Lines m and n are parallel on a coordinate plane. Lines m and n are transformed by the same rotation, resulting in image lines s and t. Which statement describes the relationship between lines s and t?
The statement that best describes the relationship between lines s and t is: Lines s and t are parallel.
What are parallel lines?Parallel lines can be defined as those lines that are equal to one another but does not intersect one another.
For Lines s and t to be parallel lines this means that lines s ant t are cut by transversal. Hence, transversal intersect lines s and t to make it parallels lines.
Therefore Lines s and t are parallel.
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I get the part A of the question its just the part B that i would really appreciate for someone to explain
Step-by-step explanation:
650065 = (a² + 1)(c² + 1)
and
650065 = (ac - 1)² + (a + c)² = the sum of 2 squared numbers (ac - 1)² and (a + c)².
we see that 5 and 13 and therefore 5×13=65 are all factor of 650065. and then 650065/65 = 10001.
and we know that 65 = (64 + 1) = (8² + 1)
and 10001 = (10000 + 1) = (100² + 1)
so, a = 8, c = 100
that means the 2 squared numbers summing up to 650065 are
(ac - 1)² = (8×100 - 1)² = 799² = 638,401
(a + c)² = (8 + 100)² = 108² = 11,664
650,065 = 638,401 + 11,664 = 799² + 108²
HELP ASAP
stats and probs
Answer:
Step-by-step explanation:
1. Sally makes $600 dollars a week and earns 20% commission on her sales. If she sells $5000 dollars worth of furniture one week. What does she make in total? (Think weekly salary PLUS commission = total salary)
Answer:
20% of sales : $1000
and salary+commission : $1000+ 600
So total salary : $1600
Find the measure of the angle between u = 6i - 3j and
v = 2i+j to the nearest tenth of a degree.
Answer:
θ = 53.1° (to the nearest tenth)
Step-by-step explanation:
FORMULA :
Let θ be the measure of the angle between U and V :
[tex]\cos \theta =\frac{\overrightarrow{U} .\overrightarrow{V} }{\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert }[/tex]
========================
[tex]\overrightarrow{U} \times \overrightarrow{V} =6\times 2+\left( -3\right) \times 1=9[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{6^{2}+\left( -3\right)^{2} } =\sqrt{45} =3\sqrt{5}[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{2^{2}+\left( 1\right)^{2} } =\sqrt{5}[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert =3\sqrt{5} \times \sqrt{5} = 15[/tex]
…………………………………………………
Then
[tex]\cos \theta =\frac{9}{15} =\frac{3}{5}[/tex]
[tex]\theta =\cos^{-1} \left( \frac{3}{5} \right) =53.130102354156[/tex]
what is the average rate of change for this quadratic function for the interval fr x=2 to x=4?
Answer:
0-4
derivate first
function is missing
substitute the value of X
What is the end behavior of the graph of
?
Question 9 options:
as x increases, f(x) increases
as x decreases, f(x) decreases
as x increases, f(x) increases;
as x decreases, f(x) increases
as x increases, f(x) decreases;
as x decreases, f(x) increases
as x increases, f(x) decreases;
as x decreases, f(x) decreases
The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.
What is the end behavior about?The end behavior of a function f tells us that the way that the graph function behaves at the "ends" of the x-axis.
Note that the end behavior of a function tells the trend of the graph and in this graph, f(x) -----> +∞ as x----> -∞ (as the value of x decreases the value of f(x) increases) and f(x) -----> -∞ as x----> +∞ (as the value of x increases the value of f(x) decreases).
Therefore, The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.
See full question below
What is the end behavior of the graph of f(x) = -0.25x2 - 2x + 1?
A) As x increases, f(x) increases. As x decreases, f(x) decreases.
B) As x increases, f(x) decreases. As x decreases, f(x) decreases.
C) As x increases, f(x) increases. As x decreases, f(x) increases.
D) As x increases, f(x) decreases. As x decreases, f(x) increases
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PROVE :
sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4
Step-by-step explanation:
[tex] \sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4} [/tex]
[tex] \sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30) [/tex]
[tex] \frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4} [/tex]
[tex] \frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4} [/tex]
What are the approximate solutions to the equation? A. X=1.2 and x=3 B. X= 1.7 and x= 6 C. X= 2.6 and X = -3 D. X=1 and x=4.2
The solutions are where the red and blue lines cross each other.
Answer would be D. X ≅ 1 and x ≅ 4.2
Find the value of x.
Answer:
x=36
Step-by-step explanation:
2x+2x+70+78+68=360
4x+216=360
4x=360-216
4x=144
x=144/4=36
Which of the following equations describes the graph?
y=-x^2+1
An equation that describes the graph is [tex]y=-x^{2} +1[/tex]
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is parabola?"It is a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. "
For given question,
The graph describes the parabola.
The parabola opens downward, so the equation of the parabola would be,
[tex]y=-x^{2}[/tex]
We know that, for a function f(x) is transformed to f(x) + c if c > 0 then the graph of the function moves up by c units.
if c < 0 then the graph of the function moves down by c units.
As the graph of the parabola moves down by 1 unit, the equation of the parabola would be,
[tex]y=-x^2+1[/tex]
Therefore, the equation that describes the graph is [tex]y=-x^{2} +1[/tex]
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how would i solve this the shaded region is the whole inside circle.
Answer:
34.48cm²
Step-by-step explanation:
Assuming the shaded area doesn't contain the triangle:
area of triangle = bh/2
area of triangle = 4(2)/2
area = 4
area of circle = πr²
area = π3.5²
area = 38.48
area of shaded = 38.48 - 4
area = 34.48cm²
(07.04A)
Which of the tables represents a function?
Table A
Input Output
8 −9
8 −8
10 −8
Table B
Input Output
4 11
7 12
7 13
Table C
Input Output
−4 0
−3 3
−2 5
Table D
Input Output
10 0
10 4
3 7
Table A
Table B
Table C
Table D
Answer:
Table C
Step-by-step explanation:
The input value in Table C gives a different value in the output.
The first number in a pattern is 6. The pattern follows the rule "Add 1, Multiply by 2" Which of the following shows the next four numbers in the pattern?
A - 7, 8, 9, 18
B - 12, 13, 26 27
C - 7, 14, 15, 30
D - 12 14. 28, 28
Answer:
C
Step-by-step explanation:
Remark
You must do the changes in order. Add 1 then multiply by 2
First entry: 6Add 1: 6 + 1 = 7Multiply by 2 = 2*7 = 14Add 1: 14 + 1 = 15Multiply by 2: 15 * 2 = 30Answer: 7 14 15 30
There are 20 students in a class.
12 of the students are girls.
Find the ratio of the number of girls to the number of boys.
Give your ratio in the form n : 1.
Answer:
1.5:1
Step-by-step explanation:
the original answer is 12:8, so you have to simplify it down. you can get it down to 3:2 with whole numbers, but to get it down to a ratio with one, you'll have to divide each number by 2 because the bottom number is 2, so the final answer would be 1.5:1
What is the area of the kite?
A. 1,500 ft^2
B. 640 ft^2
C. 320 ft^2
D. 160 ft^2
thank you ! :)
What is the equation of a line that passes through (-6,2) and has a slope of -(1)/(2)?
Answer:
y= -1/2x+5
Step-by-step explanation:
20 POINTS!!! WILL GIVE BRAINLIEST!!!
Answer:
equivalent. not equivalent. not equivalent
Step-by-step explanation:
Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line y=1/4x+5
Answer:
Step-by-step explanation:
perp. -4
y - 2 = -4(x - 0)
y - 2 = -4x + 0
y = -4x + 2
The table shows the monthly low temperature for several cities in December. The monthly low temperature in Toledo in December was 212°F. Which of the cities in the table, if any, had a lower December temperature than Toledo? Explain your reasoning.
Please this is urgent, please.
Of these cities, the place that has the lowest temperature than Toledo is Youngstown.
What is the temperature of Youngstown?The town is known to have a temperature that is less than 20. This shows that the temperature has fallen below all other temperatures in the table.
Hence it can be concluded that the lowest table here is the temperature of Youngstown at -20 degrees.
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Find the area of the triangle ?
Answer:
16 cm²/m²
Step-by-step explanation:
The formula to find the area of a triangle is:
Area of the triangle = [tex]\frac{1}{2}[/tex] × base × height
Where base = 8 and height = 4
So, the area of the triangle = [tex]\frac{1}{2}[/tex] × 8 × 4 = 16 cm²/m²
how do i divide 431.25 by 61
Answer:
7.070 to the nearest thousandth
Step-by-step explanation:
You could use a calculator or do it manually using long division:
61)431 .2500(7.0695 <---------Quotient
427
425
367
580
549
310
305
(x-1)(x+1)= выполнить умножение
Answer:
x^2-1^2
Step-by-step explanation:
formula:
(a-b)(a+b)=a^2-b^2