Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Completely factor the following expressions.
Answer:
assuming that the equations are equal to zero the answers would be
3 , -3 , 5
Step-by-step explanation:
In a survey, one-fifth youths like cell phone only and 16 did not like cell phone at all. Also 60%
youths like camera but 8 like none of them.
(i) Show the above information in a Venn diagram.
(ii) How many youths like both the things?
Answer: Let, n(U) be=x only (p)=x/5 only(ca)=16 n(pnc)=?n(c)=60%ofx=0.6x
then,
Only (c)=n(c)-n(cnp)
16=0.6x-n(cnp)
n(cnp)=0.6x-16
again,
n(U)=only(p)+only (c)+n(cnp)+n(pUc)of complement
x=x/5+16+0.6x-16+8
5x=x+3x+40
x=40
n(cnp)=0.6x-16=0.6×40-16=8
Step-by-step explanation:
I need help pls help me answer this ASAP!!!
2. You are rolling a number cube. What is the probability that you will roll a
3? Answer in fraction form only.
Answer:
Step-by-step explanation:
1/2
QuestiOh
Classify the following triangle as acute, obtuse, or right.
OA. Obtuse
OB. Acute
OC. Right
OD. None of these
The triangle is an acute triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of angles of the triangle are
The measure of ∠ABC = 50°
The measure of ∠BAC = 50°
The measure of ∠ACB = 80°
So , all the angles of the triangle are less than 90°
So , it is an acute triangle
Hence , the triangle is acute
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9514 1404 393
Answer:
(c) 162 cm
Step-by-step explanation:
The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.
RD = 3·54 cm
RD = 162 cm
Use the graph to find the value of y = sin q for the value of q.
90°
Answer:
[tex]\huge y = \sin(q) = \sin(90°) = 1[/tex]
d. 1 is the right answer.The map shows the locations of several different places. Each unit on the grid represents 1 block. Mr. Johnson wants to open a fruit stand, but he wants it to be at least 3 blocks from any of the other places shown on the map. Select the locations where Mr. Johnson could open his fruit stand. Check all that apply.
a. (-4,4)
b. (2,1)
c. (-4,0)
d. (-1,-2)
Acar is traveling at 65 miles per hour. What happens to the number of miles when the number of hours changes?
When the number of hours increases the number of miles decreases
When the number of hours increases the number of miles increases.
When the number of hours decreases the number of miles increases.
When the number of hours decreases the number of miles stays the same.
film processing costs $4.95, plus $0.35 for each picture printed. Milan paid $11.95 for processing and printing. How many pictures did he have printed?
Answer:
20 pictures.
Step-by-step explanation:
In this question, we need to find out how many pictures Milan printed.
We know that the film processing costed $4.95 and each picture that was printed costed $0.35.
Lets turn this into an equation with x representing the amount of pictures:
y = 0.35x+ 4.95
Now we need to solve the equation. We can do this by plugging in our known cost, 11.95, into "y".
Solve:
11.95 = 0.35x + 4.95
Subtract 4.95 from both sides.
7 = 0.35x
Divide both sides by 0.35
20 = x
Milan printed 20 pictures.
What is the distance between points A and B?
A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point A is one mark to the right of 1. Point B is one mark to the right of point A.
One-third
One-half
1 One-third
1 One-half
Answer:
one-third
Step-by-step explanation:
A B
<-------+---------+---------+---------+--------+---------+---------+--------------->
0 1 1 1/3 1 2/3 2
Since each unit is divided into three equal spaces, each space is 1/3 of a unit.
Between any two consecutive marks, the distance is 1/3 unit.
Answer: one-third
I’ll love you forever if you help me wit dis ASAP
Answer:
the first is 14cm and second is 20.4cm
Step-by-step explanation:
George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35 ), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money.
Answer:
He does not have enough money
Step-by-step explanation:
Step one:
given data
The total money that Goerge has is $15
Expenses to incure
to see a movie ($9.00) and
to buy a pretzel ($2.65),
a drink ($1.35 ), and
two veggie cups ($1.74 each)= 1.74*2= $3.48
Totoal expenses= 9+2.65+1.35+3.48= $16.48
Step two:
The deficit that George will have is 16.48-15= $1.48
Hence he does not have enough money
Answer:
13.48
(Is the answer to the math problem)
Describe how the graph of y= x^2 can be transformed to the graph of the given equation.
y = (x - 12)^2 + 3 (5 points)
a) Shift the graph of y = x2 up 12 units and then right 3 units.
b) Shift the graph of y = x2 left 12 units and then down 3 units.
c) Shift the graph of y = x2 left 12 units and then up 3 units.
d) Shift the graph of y = x2 right 12 units and then up 3 units.
Answer:
We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.
Hence, option D is true.
Please check the attached graph.
Step-by-step explanation:
Given the parent function
y = x²
Given the transformed function
y = (x - 12)²
Horizontal Translation:
The horizontal translation of y = x² is of the form
f(x-h)
so y = y = (x - 12)² means y = x² is shifted 12 right.
Vertical Translation:
y = x²
Then y = x² + b is a vertical translation of y = x²
if b > 0, then y = x² + b is the graph of y = x² 'b' units up.
if b < 0, then y = x² + b is the graph of y = x² 'b' units down.
Thus, y = x² + 3 means the graph y = x² is vertically shifted up by 2 units.
Please check the attached graph.
The blue graph is representing the graph of y = x². The red graph is representing the graph of y = (x - 12)²+3Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.
Hence, option D is true.
Answer:
Shift the graph of y = x2 right 12 units and then up 3 units.
Step-by-step explanation:
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A car traveled 150 miles on 5 gallons of gas. Find the unit rate.
Answer:
30m per gallon
Step-by-step explanation:
150m/5g= 30m/g
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Answer:
Simplify ans: 3 x^2 y^-4
a no = x( x+2)
b no = 2x(x- 3)
c no = 5x(3- 2x^2)
d no.= 3x^2( 3+ x)
Hope this helps you
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] ( m > n)
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇒ [tex]\frac{1}{a^{(n-m)} }[/tex] ( n > m )
Given
[tex]\frac{21x^6y^5}{14x^2y^9}[/tex]
= [tex]\frac{21}{14}[/tex] × [tex]x^{(6-2)}[/tex] × [tex]\frac{1}{y^{(9-5)} }[/tex]
= [tex]\frac{3}{2}[/tex] × [tex]x^{4}[/tex] × [tex]\frac{1}{y^{4} }[/tex]
= [tex]\frac{3x^4}{2y^4}[/tex] ← with positive exponents
--------------------------------------------------
(a)
x² + 2x ← factor out x from each term
= x(x + 2)
(b)
2x² - 6x ← factor out 2x from each term
= 2x(x - 3)
(c)
15x - 10x³ ← factor out 5x from each term
= 5x(3 - 2x²)
(d)
9x² + 3x³ ← factor out 3x² from each term
= 3x²(3 + x)
factor x(20-x)=96 its for solving quadratics
Answer:
Answer and steps in the picture
PLEASE HELP ME !!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
9 inches
Step-by-step explanation:
Given m||n, find the value of x
Answer:
143
Step-by-step explanation:
Find the measure of angle x. _
[tex]x + 120 = 180[/tex]
(linear pair of angles)
[tex]x = 180 - 120[/tex]
[tex]x = 60[/tex]
Give an example of a whole number that is not a natural number
Answer:
0
Step-by-step explanation:
Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn
-1
Step-by-step explanation:
because looking at the graph it is negative, and it goes down one over one
Jordan bought pants that were $29.95. The sales tax amount is 9%. What is the amount of sales tax? What is the total cost of the pants (cost + tax)? Solve any way you wish, showing your thinking.
Answer:
$32.65
Step-by-step explanation:
To find the tax, multiply 29.95 by .09. This gets us 2.6955. We can round this to $2.70. Now, we add the tax to the cost of the pants. This gets us 32.65. This means the total cost, with tax, is $32.65.
Question 5(Multiple Choice Worth 1 points)
(02.04 MC)
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, as shown in the graph:
There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 0, negative 20 and 4, 10.
Which equation most closely represents the line depicted in the graph?
f(x) = −10x + 4
f of x equals fifteen halves times x minus 20
f(x) = 10x − 4
f of x equals two fifteenths times x minus 20
Given:
The graph passes through the points (0,-20) and (4,10).
To find:
The equation of line that most closely represents the line depicted in the graph.
Solution:
If a line passing through two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The given line passes through the points (0,-20) and (4,10). So, the equation of line is
[tex]y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)[/tex]
[tex]y+20=\dfrac{10+20}{4}(x)[/tex]
[tex]y+20=\dfrac{30}{4}x[/tex]
[tex]y+20=\dfrac{15}{2}x[/tex]
Subtracting 20 from both sides, we get
[tex]y=\dfrac{15}{2}x-20[/tex]
The function form is
[tex]f(x)=\dfrac{15}{2}x-20[/tex]
f of x equals fifteen halves times x minus 20.
Therefore, the correct option is B.
Answer:
Your answer is B
Step-by-step explanation:
f of x equals fifteen halves times x minus 20
HELP ME PLEASE!!!!!!
Answer:
A) y=4x
B) Linear
c) can't see the vocab bank
Step-by-step explanation:
choose the equation of the line parallel to the x axis
option A : x = 4
option B : x + y = 0
option C : x = y
option D : y = 4
pls answer correctly because i only get to pick answer once!
Answer:
D just imagine a straight flat line going through y=4
Use synthetic division to find the remainder if polynomial P(x) = x3 - 28x - 48 is
divided by x + 4.
O A) 1
B) 2
O C) 3
D) o
Answer:
Step-by-step explanation:
√ = divided into
[tex]x^{2}[/tex]- 4x -12
x+4 √ [tex]x^{3}[/tex]- 0[tex]x^{2}[/tex] -28x -48
-([tex]x^{3}[/tex] + 4[tex]x^{2}[/tex])
-4[tex]x^{2}[/tex]-28x-48
-(-4[tex]x^{2}[/tex]-16x)
-12x - 48
-(-12x - 48)
0 Remainder
so the answer is D
The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given as,
P(x) = x³ - 28x - 48
Let's check if x + 4 = 0 is a factor or not. Then we have
x + 4 = 0
x = - 4
At x = -4, the value of the polynomial is given as,
P(x) = (-4)³ - 28(-4) - 48
P(x) = - 64 + 112 - 48
P(x) = - 112 + 112
P(x) = 0
The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.
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For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week
Step-by-step explanation:
Given that,
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.
For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.
We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.
In July, total distance is ,
[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]
In June, total distance is :
[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]
Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.
Work out m and c for the line:3x+2y-1=0
Answer:
[tex]3x + 2y - 1 = 0 \\ 2y = - 3x + 1 \\ y = - \frac{3}{2} x + \frac{1}{2} \\ from \: general \: equation \: \: y = mx + c \\ by \: comparison \\ m = - \frac{3}{2} \\ c = \frac{1}{2} [/tex]
The value of the slope (m) will be -3/2. And the value of the y-intercept (c) will be 1/2.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation in the standard form is given below.
3x + 2y - 1 = 0
Separate 'y', then we have
3x + 2y - 1 = 0
2y = -3x + 1
y = -(3/2)x + 1/2
Compare the equation with the slope-intercept line.
m = - 3/2
c = 1/2
The value of the slope (m) will be -3/2. And the value of the y-intercept (c) will be 1/2.
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What is the x-coordinate of the point where the graphs of y = 8 and y = 2x intersect?
Answer: 7
Step-by-step explanation:
Answer:
⬇️⬇️⬇️
Step-by-step explanation:
2x + y = 8 is the equation of a straight line. ... By substituting y = 0 into the equation we will find the corresponding x-coordinate at this point. y = 0 : 2x = 8 and so x = 4 hence point (4 , 0 ) on the x-axis