Answers
Answer:
Part A: [tex]f(x) = 15(x+2)^2-79[/tex]
Part B: [tex](-2, -79)[/tex]
Step-by-step explanation:
Have a great rest of your day
Related Questions
Jace and Lianna each baked a loaf of bread. jace cut his loaf into halves and lianna cut her loaf into thirds. Jace says they can use their loaves of bread to show the 1/2 is less than 1/3. lianna says they cant. who is correct explain why or why not
Answers
Answer:
Jace is correct they can use their loaves of bread to show 1/2 is less than 1/3. Because they have 2 loaves of bread
The contents of each box of books weighs 18 pounds. There are 24 books in each box. How much does each book weigh?
Answers
each
Witch is greater 76.201 or 76.187
Answers
Answer:
76.201 is greater than 76.187
1
If 3 dogs equally share pound of dog
food what share will each dog get?
2
Answers
Answer:
.333 pounds hope this helps
Please help me need ASAP
Answers
Answer:
B
Step-by-step explanation:
Because you will divide U in X the give you correct answer.
Consider the following functions.
f(x) = x^2 + 1
g(x) = f(x - 5)
h(x) = f(x+3)
Please help set the table up!
Answers
The table of values for the functions f(x) = x^2 + 1, g(x) = f(x - 5) and h(x) = f(x+3) is:
[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]
How to set up the tableThe equations of the functions are given as:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = f(x - 5)[/tex]
[tex]h(x) = f(x+3)[/tex]
For function f(x), we have:
f(-2) = (-2)^2 + 1 = 5
f(-1) = (-1)^2 + 1 = 2
f(0) = (0)^2 + 1 = 1
f(1) = (1)^2 + 1 = 2
f(2) = (2)^2 + 1 = 5
For function g(x), we have:
g(-2) = f(-2 - 5) = f(-7) = (-7)^2 + 1 = 50
g(-1) = f(-1 - 5) = f(-6) = (-6)^2 + 1 = 37
g(0) = f(0 - 5) = f(-5) = (-5)^2 + 1 = 26
g(1) = f(1 - 5) = f(-4) = (-4)^2 + 1 = 17
g(2) = f(2 - 5) = f(-3) = (-3)^2 + 1 = 10
For function h(x), we have:
h(-2) = f(-2 + 3) = f(1) = (1)^2 + 1 = 2
h(-1) = f(-1 + 3) = f(2) = (2)^2 + 1 = 5
h(0) = f(0 + 3) = f(3) = (3)^2 + 1 = 10
h(1) = f(1 + 3) = f(4) = (4)^2 + 1 = 17
h(2) = f(2 + 3) = f(5) = (5)^2 + 1 = 26
Substitute the above values in the blank table.
So, we have:
[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]
Read more about tables and functions at:
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10) Consider the function f(x) = x2 shown, which describes the graph of the function? A) increasing B) decreasing C) increasing then decreasing D) decreasing the increasing
Answers
The function f(x) = x^2 is a quadratic function
The graph is (D) decreasing the increasing
How to describe the function?The function is given as:
f(x) = x^2
From the graph of the function, we can see that the function values decreases then increases.
Hence, the statement that describes the graph is (D) decreasing the increasing
Read more about functions at:
https://brainly.com/question/15602982
Find the value of x.
Answers
Answer:
x=9.6
Step-by-step explanation:
First, we have to find a similarity statement including x with 3 other values. One that we can do is long leg/hypotenuse=long leg/hypotenuse. If we use the small triangle we can get x/12 (x being long leg, 12 being hypotenuse), and using the big triangle we can get 16/20 (16 being long, 12 being hypotenuse). So, if x/12=16/20, we can solve and get that x=9.6
What is the value of the expression below when y=4y=4? 3y^2 +y+8 3y 2 +y+8
Answers
Answer:
1. 18
2. 13.5
3. 3rd choice
4. 2nd choice
5. 18.6
6.3m + 8
7. 5x2 + y
i hope this work for you
2. A bike costs
A
$650. During
Sale it is marked
Idown 35%. What is
the sale price of the
bike?
I need the process as well, Please answer fast!!!
Answers
Answer:
$422.50
Step-by-step explanation:
Given the following question:
35% of 650
To find the answer we must first calculate 35% of 650 by using the formula to calculate percentages. Then we will subtract that answer from the original price of the bike, which will give us our answer.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{35\times650}{100}[/tex]
[tex]35\times650=22750[/tex]
[tex]22750\div100=227.5[/tex]
[tex]=227.50[/tex]
Now subtract from the original price:
[tex]650[/tex]
[tex]650-227.5=422.5[/tex]
[tex]=422.50[/tex]
The bike after a 35% markdown will cost "$422.50."
Hope this helps.
What is the sum of the squared distances from the mean?
Answers
Answer:
The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean. To determine the sum of squares, the distance between each data point and the line of best fit is squared and then summed up. The line of best fit will minimize this value.
There were 10 tables at a company luncheon. The company ordered
25 pizzas. If the same amount of pizza was served at each table, how much
pizza did each table get? Give your answer as a fraction or mixed number
and also as a decimal.
Answers
Answer:
Fraction: [tex]2\frac{1}{2}[/tex]
Decimal: 2.5
Step-by-step explanation:
Divide the total number of pizzas by the number of tables.
[tex]\frac{25}{10} = \frac{5}{2} = 2\frac{1}{2} = 2.5[/tex]
For what values of θ, 0° ≤ θ ≤ 360°, will y = cos (θ) equal 0?
I. 0° II. 90° III. 180° IV. 270° V. 360°
Answers
Answer:
D) I, III, and V
Step-by-step explanation:
Edge
Which inequality represents all the solutions of -2(3x + 6) = 4(x + 7)?
ОА.
X2-4
ОВ.
XS-4
O c. 28
OD.
xs 8
Answers
The answer is x=-4
I’ve attached my work explaining why below :)
x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -2(3x + 6) = 4(x + 7
We need to find the inequality which represents the solutions of the equation.
Let us solve for x
-2(3x + 6) = 4(x + 7)
Apply distributive property
-6x-12=4x+28
Take the variable terms on one side.
-6x-4x=28+12
-10x=40
Divide both sides by 10
x=-4
Hence, x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)
To learn more on Equation:
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How many parallel pairs are in a trapezoid
Answers
Answer:
the answer would be one pair
Write the equation of the circle that has a center of (-7, 17) with
a radius of V19.
Answers
I think your question seems to be :-
Write the equation of the circle that has a center of (-7, 17) with a radius of √19
So , as we know that the equation of circle with centre at (h,k) and radius r is given by [tex]{\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}[/tex] . Now , using same concept in this question ;
[tex]{:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}[/tex]
This is the required equation of Circle
15 1/3 - 2 5/8 I need so much help on this type of stuff anyone pls tutor me
Answers
Answer: 12.7083333333
Step-by-step explanation: First you turn both numbers into a inproper fraction. Then you subtract and simplify.
3. Higher Order Thinking The
lengths of the pencils are
given at the right.
Write and solve a two-step
problem about the pencils.
6 cm
8 cm
10 cm
Answers
The lengths of the three pencils form a right-triangle, and the two-step problem is:
6^2 + 8^2 = 10^2100 = 100How to write the two-step problemThe lengths of the pencils are given as:
6cm, 8cm and 10cm
Using the Pythagoras theorem, we have:
6^2 + 8^2 = 10^2
Evaluate the exponents
100 = 100
Hence, the lengths of the three pencils form a right-triangle
Read more about two-step problem at:
https://brainly.com/question/24590763
please answer this question
Answers
We have the given indefinite integral ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{x+1}{x(xe^{x}+2)}dx}[/tex]
We will use substitution hence to solving this integral
Now , put ;
[tex]{:\implies \quad \sf e^{x}=u}[/tex]
So that :
[tex]{:\implies \quad \sf dx=\dfrac{du}{u}\quad and\quad log(u)=x}[/tex]
Now , putting the values in the integral , it can be written as ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{log(u)+1}{log(u)\{ulog(u)+2\}}\times \dfrac{du}{u}}[/tex]
Now , we will again use substitution method for making the integral easy. So put ;
[tex]{:\implies \quad \displaystyle \sf ulog(u)+2=v}[/tex]
So that ;
[tex]{:\implies \quad \displaystyle \sf du=\dfrac{dv}{log(u)+1}\quad and\quad ulog(u)=v-2}[/tex]
Now , we have ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{\cancel{\{log(u)+1\}}}{log(u)v}\times \dfrac{dv}{\cancel{\{log(u)+1\}}u}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dv}{v\{ulog(u)\}}}[/tex]
Now , putting the value of ulog(u) = v - 2
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dv}{v(v-2)}}[/tex]
Now , using partial fraction decomposition , ths given integral can be further written as ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int \left(\dfrac{1}{v-2}-\dfrac{1}{v}\right)dv}[/tex]
Now ,as integrals follow distributive property. So ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\left(\int \dfrac{1}{v-2}dv-\int \dfrac{1}{v}dv\right)}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}(log|v-2|-log|v|)+C}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{v-2}{v}\bigg| +C}[/tex]
Putting value of v ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{ulog(u)+2-2}{ulog(u)+2}\bigg| +C}[/tex]
Now, putting value of u ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{e^{x}log(e^{x})}{e^{x}log(e^{x})+2}\bigg| +C}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{xe^{x}}{xe^{x}+2}\bigg| +C}[/tex]
[tex]{:\implies \quad \therefore \displaystyle \underline{\underline{\int \bf \dfrac{x+1}{x(xe^{x}+2)}dx=\dfrac{1}{2}log\bigg|\dfrac{xe^{x}}{xe^{x}+2}\bigg| +C}}}[/tex]
Used Concepts :- [tex]{\boxed{\displaystyle \bf \int \dfrac{1}{x}dx=log|x|+C}}[/tex][tex]{\boxed{\displaystyle \bf \dfrac{d}{dx}(u\cdot v)=v\dfrac{du}{dx}+u\dfrac{dv}{dx}}}[/tex][tex]{\boxed{\displaystyle \bf log(a)-log(b)=log\left(\dfrac{a}{b}\right)}}[/tex] [tex]{\boxed{\displaystyle \bf log(a^b)=blog(a)}}[/tex] [tex]{\boxed{\displaystyle \bf \dfrac{d}{dx}\{log(x)\}=\dfrac{1}{x}}}[/tex] [tex]{\boxed{\displaystyle \bf \dfrac{d}{dx}(e^x)=e^{x}}}[/tex]Tina buys three 7/8 yards of material at the fabric store she uses to make a skirt Afterward she has one and 3/8 of the fabric left over how many yards of material did Tina use
Answers
Answer:
1 and 2/8 yards of material used
Step-by-step explanation:
A shipping container is in the form of a right rectangular prism, with dimensions of
20 ft by 8 ft by 9 ft 9 in. If the container holds 359 cubic feet of shipped goods, what
percent is full? Round your answer to the nearest whole number if necessary.
Answers
Answer:
23%
Step-by-step explanation:
1) Find the area of the container. (20*8*9.9)
2) Divide 359 by 1584 (the area) to find the percent
3) Round up the percent and you get 23%.
30 percent off entire purchase the gloves cost $35 before the discount
Answers
The difference is 10.50
y + 8.63 = 11.001
Help, what does y equal to?!??!
50 points to whoever answers this question!!!!!
Answers
Answer:
2.371
Step-by-step explanation:
subtract 8.63 to 11.001
Which of the following describes the transformation?
A. Reflection over the X axis
B. Reflection over the Y axis
C. Rotation 90° clockwise about the origin
D. Rotation 180° clockwise about the origin
Answers
Answer:
D
Step-by-step explanation:
I hope this helps!
Answer:
B
Step-by-step explanation:
Imagine a mirror at the Y-axis, the two triangles will be mirror-image of each other. So the CORRECT answer is B. Reflection over the Y axis
Fill in the blank
y / 5
(y + 5) / 5
(y + 6) / 6
y / 2
y / 6
Answers
Step-by-step explanation:
[tex] \frac{x + 3}{3} = \frac{y + 2}{2} [/tex]
[tex]2(x + 3) = 3(y + 2)[/tex]
[tex]2x + 6 = 3y + 6[/tex]
[tex]2x = 3y[/tex]
[tex] \frac{x}{3} = \frac{y}{2} [/tex]
Urgent need help pls answer with the correct explanation
Answers
area of circle:
π * radius²
π * 2²
4π in²
area of rectangle:
length * width
20 * 4
80 in²
total area:
4π in² + 80 in²
93 in²
area of triangular prism:
( base length * perpendicular height * length ) ÷ 2
( 12.6 * 1.6 * 10.75 ) ÷ 2
216.72 ÷ 2
108.36 mm³
Determine the area of the triangle.
12 cm
24 cm
The area is
(Type an integer or a decimal.)
Answers
Answer: 144 square centimeters
Step-by-step explanation:
An area of a triangle is determined by this formula: Area = Length * Height/2. Since 12 x 24 = 288, divide 288 by 2 and you will have 144
Conclusion:
it's 144 square centimeters
hello help me with this question thanks in advance
Answers
[tex]\bold{\huge{\underline{ Solution \:1 }}}[/tex]
Figure 1 :-Here, we
One triangle and AB acts as a bisector for RT and ST. The length of AT and AR are 15 and 5The length of BT and BS are 12 and 4By using basic proportionality theorem :-
This theorem states that if a line which is parallel to the side of triangle intersect other to sides then the line which divides the other two sides are in proportion that means the ratios are equalThat is,
[tex]\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 8 }{ 8 + 11 }}{\sf{=}}{\sf{\dfrac{7}{7 +10}}}[/tex]
[tex]\sf{\dfrac{ 8 }{ 19}}{\sf{=}}{\sf{\dfrac{7}{17}}}[/tex]
[tex]\sf{\dfrac{ 8 }{ 19}}{\sf{≠}}{\sf{\dfrac{7}{17}}}[/tex]
Hence, AB is not parallel to RS
Figure 2 :-Here, we have
One triangle and AB acts as a bisector for RT and ST. The length of AT and AR are 8 and 11The length of BT and BS are 7 and 10By using basic proportionality theorem :-
That is,
[tex]\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 15 }{ 15 + 5 }}{\sf{=}}{\sf{\dfrac{12}{16}}}[/tex]
[tex]\sf{\dfrac{15 }{ 20}}{\sf{=}}{\sf{\dfrac{12}{16}}}[/tex]
[tex]\sf{\dfrac{ 3}{ 4}}{\sf{=}}{\sf{\dfrac{3}{4}}}[/tex]
Hence, AB is parallel to RS
[tex]\bold{\huge{\underline{ Solution\: 2}}}[/tex]
Here, we have
Triangle ABC and DE || BC The length of AB = 12 , AD = 4 , DE = 6 and AC = 24 .Part 3 :-
By using basic proportionality theorem,
This theorem states that if a line which is parallel to the side of triangle intersect other to sides then the line which divides the other two sides are in proportion that means the ratios are equalThat is,
[tex]\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{AE}{AC}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{AE}{24}}}[/tex]
[tex]\sf{\dfrac{ 4}{12 }}{\sf{{\times} 24= AE}}[/tex]
[tex]\sf{ AE = 4 {\times} 2 }[/tex]
[tex]\sf{ AE = 8 }[/tex]
Hence, The length of AE is 8
Part 4 :-Again , By using Basic proportionality theorem :-
That is
[tex]\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{DE}{BC}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}[/tex]
[tex]\sf{\dfrac{ 1}{3 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}[/tex]
[tex]\sf{ BC = 6 {\times} 3 }[/tex]
[tex]\sf{ BC = 18 }[/tex]
Hence, The length of BC is 18 .
please help me solve for x
Answers
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The shown pair of angles are Co interior angle pair, therefore the sum of those angles is 180°
[tex]\qquad \sf \dashrightarrow \: 130 \degree + 7x + 1 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 131 \degree + 7x = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 7x= 180 \degree - 131 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 7x= 49 \degree [/tex]
[tex]\qquad \sf \dashrightarrow \: x=49 \degree \div 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x=7 \degree [/tex]
The required value of x is 7°
If a ray stands on a line, then the sum of two adjacent angles so formed is 180 .
7x + 1 + 130 = 180 7x + 131 = 180 7x = 180 - 131 7x = 49 x = 49/ 7 x = 7Hope it helps ~
Which pairs of angles are alternate interior angles? Select all that apply.
3
20
N
517
618
co
Answers
Explanation:
Think of the vertical lines as train tracks (the metal rails).
Stuff between the rails are interior angles.
Angles 3 and 6 are one pair of alternate interior angles because they are on alternating sides of the transversal line. The other pair of alternate interior angles are angles 4 and 5.
Alternate interior angles are congruent when we have parallel lines like this.