Answer:
mommy
Step-by-step explanation:
The value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.
The given function is [tex]f(x)=3x^{2} -2x[/tex].
We need to evaluate the given function for x=4.
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
To find the value of the given function replace x with 4 and simplify.
That is, [tex]f(4)=3(4)^{2} -2 \times 4=48-8=40[/tex].
Hence, the value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.
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Which function is shown in the graph below?
Answer: c
Step-by-step explanation:
It has been given that the point (3,1) is on the graph.
And in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option C
Find the total surface area of a regular pyramid with a square base if each edge of the base is 16 inches, the slant height of one side is 17 inches, and the altitude is 15 inches.
Answer:
the answer you're looking for is 60 inches
The perimeter of the base is 4 s since it is a square.
p = 4(16) = 64 inchesThe area of the base is s².
B = 16² = 256 inches ²[tex]\boldsymbol{CST=\dfrac{1}{2}(64)(17)+256=544+256=800 \ inches^{2} }[/tex]
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
An investment group compares returns on an account against the function represented in the table, where x is the time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the table?
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
The function over the interval is an increasing exponential function.
What is quadratic function?A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".
The complete question is
An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20
A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. So, time in years change does not give maximum total return on investment.
For increasing quadratic equation, the graph increasing at one side of the axis and decreases at other side.
For, Exponential function
When the exponential function then it shows total return on investment is not maximum.
When the exponential function is increasing it shows time goes, total return on investment is maximum.
Hence, the exponential function is increasing.
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y = 1/4x + 5, (−1, 6)
Answer:
This point is not on the line, NOT TRUE
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given: y = 1/4x + 5, (−1, 6)
we can plug in the point (−1, 6)
6 = 1/4(-1) + 5
6 = -1/4 + 5
6 = 4.75
6 does not equal 4.75 so this point is not on the line
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Calculate the first and second differences for y = x 2 + 7x + 6
The first difference and second difference of the equation will be given below.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The quadratic function is given below.
y = x² + 7x + 6
Let the value of the y for x = 0, 1, 2, 3, 4 will be
y(0) = 6
y(1) = 14
y(2) = 24
y(3) = 36
y(4) = 50
The first difference and second difference will be
x y first difference second difference
0 6 ... ...
1 14 8 ...
2 24 10 2
3 36 12 2
4 50 14 2
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What is the factored form of the following expressions?
x2 – 10xy + 24y2
Answer:
(x-6y)(x-4y)
Step-by-step explanation:
What is sin and cos
Sin and cos are trigonometry functions used to find measurements in a right triangle.
[tex]\displaystyle sin=\frac{\text{opposite side}}{hypotenuse}[/tex]
[tex]\displaystyle cos=\frac{\text{adjacent side}}{hypotenuse}[/tex]
Smith rides his cycle at the speed of 10 mile per hour. How many miles smith travels in 4 hours ?
Answer:
40 miles
Step-by-step explanation:
10X4
The answer is 40 miles
-------------------------------------------------------
If he consistently rides ten mph (miles per hour) for 4 hours (4*10) he would have ridden 40 miles.
find the average rate of change
Answer:
[tex]\dfrac{26}{3}[/tex]
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given function: [tex]f(x)=3^{x-1}+2[/tex]
Given interval: 1 ≤ x ≤ 4
Therefore, a = 1 and b = 4
Therefore, find the value of the given function when x = 1 and x = 4:
[tex]\begin{aligned}\implies f(1) & =3^{1-1}+2\\ & = 3^0+2\\ & = 1+2\\ & = 3 \end{aligned}[/tex]
[tex]\begin{aligned} \implies f(4) & = 3^{4-1}+2 \\ & = 3^3+2\\ & = 27+2\\ & = 29 \end{aligned}[/tex]
Substitute the found values into the formula:
[tex]\begin{aligned}\implies \dfrac{f(b)-f(a)}{b-a} & =\dfrac{f(4)-f(1)}{4-1}\\\\ & =\dfrac{29-3}{4-1}\\\\ & = \dfrac{26}{3} \end{aligned}[/tex]
What number is exactly between 3.8 and 4.1
The mid-point of the numbers 3.8 and 4.1 will be 3.95.
What is the midpoint of line segment AB?Let C be the mid-point of the A and B.
C = (A + B) / 2
The numbers are given below.
3.8 and 4.1
Then the mid-point of the numbers 3.8 and 4.1 will be
C = (3.8 + 4.1) / 2
C = 7.9 / 2
C = 3.95
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The two right-angled triangles below are
similar, which means that they have the
same angles.
a) Write down the value of sin as a
fraction in its simplest form.
b) Work out the length x.
8 cm
3 cm
16 cm
X
Not drawn accurately
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \tt{sin(\Theta) = \cfrac{3}{8}} [/tex]
[tex]\qquad \tt \rightarrow \: x = 6\:\: cm[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \sin( Theta) = \cfrac{Opposite \:\: side}{Hypotenuse}[/tex]
[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} [/tex]
since the Triangles are similar, ratio of their corresponding sides are equal :
[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} = \dfrac{x}{16} [/tex]
[tex]\qquad \tt \rightarrow \:x = 16 \sdot \cfrac{3}{8}[/tex]
[tex]\qquad \tt \rightarrow \: x = 2 \sdot3[/tex]
[tex]\qquad \tt \rightarrow \: x = 6 \: \: cm[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Since the two right-angled triangles have the same angles, the values are; ai. sin θ= 3/8ii. sin θ= x/16b. x = 6cm
How to determine the valueUsing the sine trigonometric identity expressed as;
sin θ = opposite/hypotenuse
Then, we have that for the first triangle;
sin θ= 3/8
For the bigger triangle;
sin θ= x/16b.
Then, since we have that the sine identity is;
sin θ= x/16
But sin θ= 3/8
Divide the values and find the sine inverse in
θ= 0. 375θ = 22. 0 degrees
x = 0. 375 (16)
Multiply
x = 6 cm
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I need help for the question in the pic please help. thank you
Answer:
The value of x is 117° by using Alternative interior angle theorem
Step-by-step explanation:
Alternative interior angle theorem: It states that the angles made by transverse between two parallel lines are congruent.
as in figure
Angle A = 42°
Angle B = 108°
Angle C = x
Angle D = 51°
draw two parallel lines passing through B and C .
According to Alternative interior angle theorem angle B is written as 42° + 66°
and angle C is written as x1 + x2 .
Now x1 = 51° as x1 and D are alternative angles
And similarly x2 = 66°
As x = x1 + x2
Therefore x = 51° + 66° = 117°
The value of x is 117°
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Assume that when adults with smartphones are randomly selected, % use them in meetings or classes. If adult smartphone users are randomly selected, find the probability that exactly of them use their smartphones in meetings or classes.
The probability that exactly 6 of 8 adult use their smartphones in meetings or classes is 0.147 or 14.7% .
The complete question is
Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.
What is Probability ?Probability is the measure of likeliness of an event to happen.
The probability given is
p = 54% = 0.54
n =8
r = 6
The binomial Probability is given by
[tex]\rm P(x) = ^n C_r p^r q^{n-r}[/tex]
The probability that exactly 6 people use smartphones in a class of 8 student is given by
[tex]P(x) = \dfrac{n!}{r! (n-r)!} p^r q^{n-r}[/tex]
Here q represents the complement
q = 1 -p
q = 1-0.54 = 0.46
[tex]P(6) = \dfrac{8!}{6! (2)!} 0.54^6 0.46^{2}\\\\\P(6) = \dfrac{8 * 7}{ 2} 0.54^6 0.46^{2}\\\P(6) = 0.147[/tex]
Therefore The probability that exactly 6 of 8 adult use their smartphones in meetings or classes is 0.147 or 14.7% .
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PLEASE ANSWER ASAP!!!!!!!
What is the exact value of cos(tan−1(−1))/sin(cos−1(−3√2))?
Enter your answer, as a simplified fraction, in the box.
cos(tan−1(−1))/sin(cos−1(−3√2))=
The exact value of [tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex] would be root 2.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex]
We know that
The inverse tan(-1) = -π/4
cos(-π/4) = 1/√2
The inverse cos(√3/2) = π//6
sin(π/6) = 1/2
Then substitute
[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}\\\\[/tex]
[tex]\dfrac{(1/\sqrt{2}) }{(1/2)} \\\\= \sqrt{2}[/tex]
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Which of the following phrases does not translate to n - 5?
1. the difference between a number and five
2. a number decreased by five
3. a number subtracted from five
4. a number minus five
Answer:
3
Step-by-step explanation:
Estimate
12.4 × 18
—————-
0.012
Answer: 12.4 x 18
-------------- = 18600
0.012
When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? (5 points)
Group of answer choices
There will be no change to the graph because the exponential portion of the function remains the same.
The y-intercept is 22 spaces higher.
The x-intercept is 22 spaces higher.
All input values are moved 22 spaces to the right.
Answer:
The y-intercept is 22 spaces higher.
Step-by-step explanation:
which property is illustrated for all expressions a and b if a=b then b=a
Answer:
Symmetric property
can someone please help meee
Step-by-step explanation:
Well the first 3 you just plug in the value of x which results in.
a. f(0) = 7(0)^2 + 3(0) - 2
f(0) = -2
b. f(2) = 7(2)^2 + 3(2) - 2
f(2) = 7(4) + 6 - 2
f(2) = 28 + 4
f(2) = 32
c. f(-2) = 7(-2)^2 + 3(-2) - 2
f(-2) = 7(4) - 6 - 2
f(-2) = 28 - 8
f(-2) = 20
for the last ones it's essentially the same thing except the value a is not known
d. f(a+1) = 7(a+1)^2 + 3(a+1) - 2
f(a+1) = 7(a^2 + 2a + 1) + 3a + 3 - 2
f(a+1) = 7a^2 +14a + 7 + 3a + 1
f(a+1) = 7a^2 + 17a + 8
c. f(-a) = 7(-a)^2 + 3(a) - 2
f(-a) = 7a^2 + 3a - 2
Can you answer the question
well if its asking for an exponent then its (-5)⁴
What is the value of the element in row 1, column 1 of matrix x? [4 y 0 1] x= [y 4]
The value of the element in row 1, column 1 of matrix x is; y.
What is the value of the element in row 1, column 1 of matrix x?According to the task content, it follows that matrix x is defined as; x= [y 4].
In essence, it follows that the matrix x contains one row and 2 columns. Therefore, the element in row 1, column 1 of matrix x is; y.
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Answer: A
Step-by-step explanation:
Pls help me solve this equation
Answer:
a
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{1}{3}[/tex] , then
y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
to find c substitute (6, 4 ) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = [tex]\frac{1}{3}[/tex] x + 2 ← equation of line
A box contains
toffee, coffee, orange, mint and hazelnut
flavour chocolates.
The ratio of toffee: coffee: orange : mint chocolates is 5:4:2:3
The
probability of picking a hazelnut chocolate i5 g
How many hazelnut chocolates are in the box?
The probability of picking a hazelnut chocolate is 1/5 and the number of hazelnut chocolates in the box is 1
How to determine the probabilityNote that the ratios = 5:4:2:3
toffee: coffee: orange: mint chocolates = 5:4:2:3:1
Total ratio = 15
Probability of picking a hazelnut chocolate = ratio of hazelnut chocolates/ total ratio
Probability of picking a hazelnut chocolate = [tex]\frac{1}{15}[/tex]
The number of hazelnut chocolates in the box is gotten from the ratio which is 1
Therefore, the probability of picking a hazelnut chocolate is 1/5 and the number of hazelnut chocolates in the box is 1
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Distribute to create an equivalent expression with the fewest symbols possible.
4(5+y)
Answer:
20 + 4y
Step-by-step explanation:
To have to fewest symbols possible, we must simplify the expression by multiplying 4 into the numbers within the parenthesis. Doing so we get:
[tex]4(5+y) = 4 * 5 + 4 * y = 20 + 4y[/tex]
Answer: 20+4y
Step-by-step explanation:
Hi, let me help you.
What we should do to simplify this expression is to "distribute" 4.
The parentheses around 5+y tell us to multiply 4 times both 5 and y. This is shown below.
[tex]\multimap\quad \tt 4\cdot5+4\cdot y[/tex]
[tex]\multimap\quad\tt 20+4y[/tex] is what we obtain upon multiplying
________________
Hope I helped. Best wishes.
Reach far. Aim high. Dream big.
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HELPPPPPPPPPPPPPPPPP PLEASE
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
(b) 3 terms, degree 10
Step-by-step explanation:
When simplifying polynomials, the first thing you look at is the exponents of the variables in each term. (The terms are separated by + or - signs.) Only terms with the same set of exponents can be combined.
When considering the degree of the polynomial, you look at the sum of exponents of the variables in each term. That sum is the degree of the term. The degree of the polynomial is the highest of the degrees of the terms.
__
exponents and degreeThe four terms have variables s and t. If we write the exponents of those variables as an ordered pair, we will have one ordered pair for each term:
5s⁶t² ⇒ (exponent of s, exponent of t) ⇒ (6, 2); degree = 6+2 = 8
6st⁹ ⇒ (1, 9); degree = 1+9 = 10
-8s⁶t² ⇒ (6, 2); degree 6+2 = 8 (this is a like term to the first term)
-6t⁷ ⇒ (0, 7); degree 0+7 = 7
The degrees are 8, 10, 8, 7, so the highest degree is 10. This is the degree of the polynomial.
__
combining termsWe can only combine the terms containing s⁶t². Doing that gives ...
(5 -8)s⁶t² +6st⁹ -6t⁷ = -3s⁶t² +6st⁹ -6t⁷ . . . . . three terms
In "standard form", the terms are written in order of decreasing degree:
6st⁹ -3s⁶t² -6t⁷ . . . . . . 3 terms, degree 10
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.
Characters used: 21 / 15000
Part E
What is the price of a plant that is 5.5 inches high? Show your calculation.
Answer: $0.24
Step-by-step explanation:
9.5 inches --> $2.28
1 inch--->X
now cross multiply it and get,
9.5X = 2.28*1
X = 2.28/9.5
so its $0.24 per inch
this is not the answer i was looking for
By solving the equation a = 2 - 9a, the value of a will be:-
A- 2/5
B- 3/5
C- 1/5
D- 1/2
C- 1/5
Step-by-step explanation:
a = 2 - 9a
10a = 2
a = 2/10
a = 1/5
Hope u got it (◠‿・)—☆
A decagon with points labeled a through j clockwise. point a is the top left point. if this regular decagon is rotated counterclockwise by 3 times the smallest angle of rotation, which vertex will be in the top position?
The e vertex of the decagon will be in the top position after rotating it counterclockwise by 3 times the smallest angle of rotation.
Which vertex will be in the top position of the regular decagon?
A regular decagon has 10 sides of equal lengths with points labeled 'a' through 'j' clockwise. It is given that the point a is the top-left point. Hence, the the vertex which is in the the top position currently is 'b'.
Now, the smallest angle of rotation will be the angle between the two sides of the decagon.
In the first rotation by the smallest angle in counterclockwise direction, point 'c' will come to the top position. In the second rotation by the smallest angle in counterclockwise direction, point 'd' point will become the top most vertex. Finally, after the third similar rotation, 'e' vertex will be in the top position of the decagon. (Refer the attached diagram)
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