Answer:
(-3,0) (1,0)
Step-by-step explanation:
y=2x^2+ 4x - 6
Factor out the greatest common factor
y = 2( x^2 +2x -3)
Factor inside the parentheses
y = 2( x+3)(x-1)
Setting the equation equal to zero to find the x intercepts
0 = 2( x+3)(x-1)
Using the zero product property
x+3 = 0 x-1 =0
x = -3 x = 1
The x intercepts are
(-3,0) (1,0)
A company makes concrete bricks shaped like rectangular prisms. Each brick is 10 inches long, 6 inches wide, and 4 inches tall. If they used 13,200in3 of concrete, how many bricks did they make?
Answer:
The company used 55 concrete bricks.Step-by-step explanation:
We should first find the volume of one of the rectangular bricks.
10×6×4=240in³.
Now, let's divide 13,200in³ by 240in³.
13,200÷240=55
Hence, the company used 55 concrete bricks.Hope this helps! (It's probably too complicated, I'm very sorry ;-;)
In an arithmetic sequence a7 −2a4 = 1, a3 = 0. Find the common difference.
Answer:
1/2
Step-by-step explanation:
Given AP, where:
a7- 2a4= 1a3= 0d=?
-------------
a7= a1+ 6d a4= a1 +3da7- 2a4= a1+6d- 2a1 - 6d= - a1= 1 ⇒ a1= -1a3= a1+2d= - 1 +2d= 0 ⇒ 2d=1 ⇒ d= 1/2If a rabbit can move 1 5/19 miles every hour, then how many hours would it take a rabbit to go 72 miles?
Answer:
57 hours
Step-by-step explanation:
72 ÷ (1 + (5 ÷ 19))-57
Given the function f(x) = | -2x + 4 |. Complete the table.
-the table is in the picture provided help me complete it please (algebra 1)
Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
[tex] \end{center} [/tex]
For the given function f(x) = | -2x + 4 |, the data is shown in the table below.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is, f(x) = | -2x + 4
Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
For the Second line of the table,
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
The third line of the table,
f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.
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Select the expression that is equivalent to 3(2x + 5) − 4x. A. 2x + 15 B. x + 8 C. x + 15 D. 2x + 5
Answer:
A. 2x + 15
Step-by-step explanation:
3(2x + 5) - 4x =
= 6x + 15 - 4x
= 2x + 15
Answer: A. 2x + 15
Answer:
2x +15
Step-by-step explanation:
3(2x + 5) − 4x
Distribute
6x + 15 -4x
Combine like terms
2x +15
Use addition to solve the linear system of equations. Include all of your work in your final answer. -x-y=4 x+2y=4
Answer:
x=-12, y = 4
Step-by-step explanation:
-x-y=4
x+2y=4
Add the equations together to eliminate x
-x-y=4
x+2y=4
----------------
0x + y = 8
y = 8
Now find x
x + 2y = 4
x +2(8) = 4
x +16 = 4
x = 4-16
x = -12
Using the following parent function, please explain how each variable transforms the parent
function. Make sure to discuss all transformations using complete sentences.
f(x)= a(b(g(x)+c))+d
Answer:
a is a dilation in the y axis by a factor of a, b is dilation in the x axis by a factor of 1/b, + c is a translation c units to the left and d is a translation d units up.
Step-by-step explanation:
Based on the results in the table, which type of television show is preferred by the majority of students in the samples?
Answer:
You need to add a pic for people to answer the question
Step-by-step explanation:
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.
Answer:
2≥d≤5
Step-by-step explanation:
Let d be days worked weekly.
You can't work more than 5, so 5 is the most you can work so d is less than or equal to 5
AND
You can't work less than 2 days, so 2 is the least you can work so d is greater than or equal to 2
If two similar cones have volumes of 320 cm³ and 1,080 cm³, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8
Answer:
B. 2/3
Step-by-step explanation:
Tasha used the pattern in the table to find the value of 4 Superscript negative 4. Powers of 4 Value 4 squared 16 4 Superscript 1 4 4 Superscript 0 1 4 Superscript negative 1 One-fourth 4 Superscript negative 2 StartFraction 1 Over 16 EndFraction She used these steps. Step 1 Find a pattern in the table. The pattern is to divide the previous value by 4 when the exponent decreases by 1. Step 2 Find the value of 4 Superscript negative 3. 4 Superscript negative 3 = StartFraction 1 Over 16 EndFraction divided by 4 = StartFraction 1 Over 16 EndFraction times one-fourth = StartFraction 1 Over 64 EndFraction Step 3 Find the value of 4 Superscript negative 4. 4 Superscript negative 4 = StartFraction 1 Over 64 EndFraction divided by 4 = StartFraction 1 Over 64 EndFraction times one-fourth = StartFraction 1 Over 256 EndFraction Step 4 Rewrite the value for 4 Superscript negative 4. StartFraction 1 Over 256 EndFraction = negative StartFraction 1 Over 4 Superscript negative 4 EndFraction In which step did Tasha make the first error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 4
Step-by-step explanation:
The table is given below
[tex]\left|\begin{array}{c|c}$Powers of 4 &$Value\\---&---\\4^2&16\\4^1&4\\4^0&1\\4^{-1}&\dfrac14\\4^{-2}&\dfrac{1}{16}\end{array}\right|[/tex]
Tasha wants to find the value of [tex]4^{-4}[/tex].
Her steps are:
Step 1: Find a pattern in the table.
The pattern is to divide the previous value by 4 when the exponent decreases by 1.
Step 2: Find the value of [tex]4^{-3}[/tex].
[tex]4^{-3}=\dfrac{1}{16} \div 4= \dfrac{1}{16} \times \dfrac{1}{4}= \dfrac{1}{64}[/tex]
Step 3: Find the value of [tex]4^{-4}[/tex].
[tex]4^{-4}= \dfrac{1}{64} \div 4 = \dfrac{1}{64} \times \dfrac{1}{4}= \dfrac{1}{256}[/tex]
Step 4: Rewrite the value for [tex]4^{-4}[/tex].
[tex]\dfrac{1}{256} = -\dfrac{1}{4^{-4}}[/tex]
Tasha made her first error in Step 4. The correct step is:
[tex]\dfrac{1}{256} = \dfrac{1}{4^{4}}[/tex]
Answer:
Step-by-step explanation:
First error step 4
I cant figure this one out..
Answer: y=-4/3x-(34/3)
Step-by-step explanation:
Since we want to find the equation of a parallel line, we know the slope is going to stay the same. If the slope is changed, the lines will intersect at one point. All we need to do is to find the y-intercept. We can do that by using the point provided.
[tex]2=-\frac{4}{3} (-10)+b[/tex]
[tex]2=\frac{40}{3} +b[/tex]
[tex]b=-\frac{34}{3}[/tex]
Now that we know the y-intercept, we can complete the equation.
y=-4/3x-(34/3)
Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?
Answer:
Given:
Number of yards of red fabric purchased by Jane = 50
Number of yards of gold fabric purchased by Jane = 110
We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.
For this we will find H.C.F. of 50 and 110.
Factors of 50 = 1, 2, 5, 10, 25, 50.
Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.
So, Highest common factor of 50 and 110 is 10.
So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.
Number of yards of red fabric is given by:
50/10=5
Number of yards of gold fabric is given by
110/10=11
Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.
am I correct? if not what's the right answer?
Answer:
2x+y -3 =0
Step-by-step explanation:
0 = Ax + By + C is the general form of a line
2x+4y +2 = 3y +5
Subtract 3y from each side
2x+4y-3y +2 =3y+5-2y
2x+y +2 = 5
Subtract 5 from each side
2x+y +2-5 = 5-5
2x+y -3 =0
What value from the set {2, 4, 6, 8} can be substituted for x to make an inequality x > 7 true?
Answer:
8
Step-by-step explanation:
8 is greater than 7
How do i solve for y and x?
Answer:
You use the facts about a 30, 60, 90 triangle.
Step-by-step explanation:
The angles in a triangle add up to 180.
90+30+x=180
120+x=180
x=60
This is a 30-60-90 right triangle.
The side opposite the 30 degree angle is a.
The side opposite the 90 degree angle (hypotenuse) is 2a.
The side opposite the 60 degree angle is a[tex]\sqrt{3}[/tex]
We know the side opposite the 90 degree angle.
2a = 12[tex]\sqrt{3}[/tex]
Divide by 2.
a=6[tex]\sqrt{3}[/tex]
a is the side opposite the 30 degree angle (y)
Because we know a, we can find a[tex]\sqrt{3}[/tex].
6[tex]\sqrt{3 } (\sqrt{3})[/tex]
The square roots cancel, leaving 3.
6 times 3 is 18.
Therefore, the side opposite the 60 degree angle (x) is 18.
Which phrase best describes mortgage collateral?
A.money used as a down payment for the loan
B.assets obtained after securing the loan
C.the purchased property that secures the loan
D.closing costs covered by the buyer
Answer:
C. the purchased property that secures the loan
Step-by-step explanation:
Mortgage collateral describe the use of a property e.g house to secure a loan. This collateral is always requested when a large amount of money is involved. The house could be sold if the borrower renege (fail to meet up with) on the due date as regards the agreement after collecting the loan.
Therefore, a mortgage collateral could be referred to as the purchased property that has been used to secure a loan by a borrower.
Therefore the purchased property that secures the loan is the correct answer.
What is Collateral ?Collateral refers to an asset that a borrower offers as a guarantee for a loan, such as a mortgage.
When you obtain the loan, the lender puts a lien on the collateral. The lien stipulates that the lender can seize the collateral if you don’t repay the loan under the terms of the contract.
Once you repay the loan, the lender removes the lien and no longer has a claim to the collateral.
In the case of a mortgage, the collateral is the real property.
When determining whether to approve your loan, the lender will ensure that the property ,the collateral ,is actually worth what you propose to pay for it with the loan.
If it isn’t, the lender can deny the mortgage because the asset isn’t worth the risk.
Therefore the purchased property that secures the loan is the correct answer.
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2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x + 2)
B. -7(x-6)(x + 1)
C. -1(7x-9)(x + 2)
O D. (-7x+ 9)(x-2)
SUBMI
Answer:
C
Step-by-step explanation:
Factor: -7x^2 -5x+18
Factor -1 out of 7x^2 -5x +18:
−(7x^2+5x−18)
Factor.
1. 18 is negative, so a negative number multiplied by a postive number.
2. You can't factor 7, so 7x times x.
(7x−9)(x+2)
Answer: the correct answer is C
Step-by-step explanation:
Expression
3x2
5a²b4
2x2 + 3x - 8
Type of Polynomial
Coefficient
Constant
Answer with explanation:
An algebraic expression having one term is known as a monomial.An algebraic expression having two terms is known as binomial.An algebraic expression having three terms is known as trinomial.Numerical coefficient - Number written before variable in each term.Constant - term with no variable ( only number).Let's check the given expressions :
[tex]3x^2[/tex]
Type - Monomial ( having one term)
Coefficient of [tex]x^2[/tex]= 3
Constant =0
[tex]5a^2b^4[/tex]
Type - Monomial ( having one term)
Coefficient of [tex]a^2b^4[/tex]= 5
Constant =0
[tex]2x^2 + 3x - 8[/tex]
Type - trinomial ( having 3 terms)
Coefficient of [tex]x^2[/tex] = 2
Coefficient of [tex]x=3[/tex]
Constant = -8
In a newspaper, it was reported that yearly robberies in Springfield were down 2% to 245 in 2014 from 2013. How many robberies were there in Springfield in 2013?
Answer:
250
Step-by-step explanation:
245 / 0.98 = 250
How many numbers less than 1000 are there that use only the digits of 2088?
Answer:
17 numbers with any number of digits
12 numbers using as many digits as possible
Step-by-step explanation:
It depends on how many digits you are required to use. If you're not required to use more than one digit, then the possible numbers are ...
0, 2, 8, 20, 28, 80, 82, 88,
208, 280, 288, 802, 808, 820, 828, 880, 882
for a total of 17 numbers.
__
If you must use the maximum possible number of digits, then the 1-digit numbers and the 2-digit numbers containing 0 must be taken off the list, leaving ...
028, 082, 088, (and all the above 3-digit numbers)
for a total of 12 numbers.
Find the remainder when f(x) = x3 − 14x2 + 7x − 10 is divided by x − 3. 184 164 −88 −122
Answer:
122
Step-by-step explanation:
For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the divide until it reaches the remainder.
It must be fulfilled that:
Dividend = Quotient * Divisor + Remainder
we have that the remainder is 122.
have a good day
Answer:
The answer would be D) -122
Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm. What is the length of PC?
А
B
C
PC is
cm in length.
Answer:
The length of the side PC is 34 cm.
Step-by-step explanation:
We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm.
As, it is given that AD = 90 cm and the three sides AB = BC = CD.
From the figure it is clear that AD = AB + BC + CD
So, AB = [tex]\frac{90}{3}[/tex] = 30 cm
BC = [tex]\frac{90}{3}[/tex] = 30 cm
CD = [tex]\frac{90}{3}[/tex] = 30 cm
Since the triangle, BPC is a right-angled triangle as [tex]\angle[/tex]PBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.
Now, the Pythagoras theorem states that;
[tex]\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}[/tex]
[tex]\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}[/tex]
[tex]\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}[/tex]
[tex]\text{PC}^{2} = 256+900[/tex] = 1156
[tex]\text{PC}=\sqrt{1156}[/tex]
PC = 34 cm
Hence, the length of the side PC is 34 cm.
Find the volume of a pyramid with a square base, where the side length of the base is
12.8 in and the height of the pyramid is 20.4 in. Round your answer to the nearest.
tenth of a cubic inch.
Answer:
Volume = 1114.1 [tex]in^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by:
[tex]Volume=\frac{1}{3} \,B\,*\,H[/tex]
where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).
Then the square base of the pyramid has an area given by: [tex](12.8\,\,in)^2=163.84\,\,in^2[/tex]
Finally,we can now write the volume of the pyramid as:
[tex]Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3[/tex]
Rounding the answer to a tenth of a cubic inch, we get:
Volume = 1114.1 [tex]in^3[/tex]
5. For every real number x, y, and z, the statement (x - y)z = xz - yz is
algebraic expression in simplest form has like terms.
A never, always
B sometimes, never
C always, always
D always, never
Answer:
c
Step-by-step explanation:
Answer and Explanation:
The answer is correct, this statement is true as for all real numbers we have
(
x
−
y
)
z
=
x
z
−
y
z
The answer is c) always.
Answer:
Always, algebraic expression in simplest from has like terms always.
Box 2:
length width • height = (4x-1). xox?
volume = 4x - x4
Degree of length:
- Degree of width:
Degree of height:
Degree of volume:
Answer:
1
1
3
5
Step-by-step explanation:
Answer:
1 1 3 5
Step-by-step explanation:
Miguel owns a music store and sells DVDs
at $16 per DVD. If Rebecca orders 6 DVDs,
how much does it cost?
Dependent:
Independent:
Continuous or Discrete:
Function:
Solution:
Answer:
Dependent = cost
independent = number of DVDs
Discrete
Function :f(x) = 16 x = 16 (6)
Solution = $96
Step-by-step explanation:
Hi, to answer this question we have to write a function:
The cost (f(x)) must be equal to the price per DVD (16) multiplied by the number of DVDs (x)
Function: f(x) = 16 x
Dependent = f (x) =(cost)
Independent = x (number of DVDs)
Solution for x=6
f(6) = 16 (6)
Cost = $96
Since the number of DVDs can't be fractional it's a Discrete function.
Answer:
u have insta
Step-by-step explanation:
I need help thank you!!
Answer:
1
Step-by-step Explanation
Step-by-step Explanation
[tex] \huge{ \red{ \csc \: \frac{\pi}{2}} = \purple{ 1}} \\ [/tex]
On a piece of paper, graph y - 3 > 2x + 2. Then determine which answer choice matches the graph you drew. A. Graph A B. Graph B C. Graph C D. Graph D
Answer: Graph C
Step-by-step explanation:
The correct graph is C.
What is an inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given : On a piece of paper, graph y - 3 > 2x + 2.
To find : determine which answer choice matches the graph you drew,
y - 3 > 2x + 2
y > 2x + 5
x = 0
y > 5
x = - 3
y > - 1
at x = 0, y = 5
0 < 5
origin does not lie in the shaded region,
as y > 2x + 5
line y = 2 x+ 5 is not part of solution (dotted line)
Hence Graph C is correct
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Which expression is equivalent to 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12? 10 Superscript 12 11 Superscript 12 12 Superscript 10 12 Superscript 11
Answer:
[tex] 12^{11} [/tex]
Step-by-step explanation:
Count the number of factors of 12. The number is 11. There are 11 factors of 12, so the base is 12, and the exponent is 11.
Answer: [tex] 12^{11} [/tex]
Answer:
12¹¹
Step-by-step explanation:
12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12
12 is being multiplied by itself 11 times.
= 12¹¹
= 743008370688