Answer:
2
Step-by-step explanation:
How many solutions will each system of linear equation have?
Answer:
The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.
Step-by-step explanation:
We can immediately see the top system has one solution because the two equations have different slopes.
For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.
Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.
Give brainiest if right!
Marina spent $13.50 at the grocery store. She bought pears,
kiwis, and pineapples. Pears cost $0.50 each, pineapples cost
$1.50 each, and kiwis are $0.30 each. How many of each kind of
fruit did she buy if she bought 9 more pears than pineapples and
2 fewer kiwis than pears?
Answer:
Step-by-step explanation:
First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is
pi + pe + k = 13.5
Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so
pe = pi + 9
And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was
kiwis = (pi + 9) - 2 which simplifies down to pi + 7.
Now we'll put all of those into the equation:
pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:
1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:
1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:
2.3pi = 6.9 so
pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:
pe = pi + 9 so
pears = 12. Now we go back to the expression for kiwis:
k = pi + 7 so
kiwis = 10. And there you go!
Can you please help me
Answer:
you will type your answers and send
Answer:
Step-by-step explanation:
⅔-2/5 = 4/15
Given the coordinates of two points on a line, explain two methods to determine the slope of the line.
Answer:
Step-by-step explanation:
1. Use the slope formula (y2 - y1 / x2 - x1)
2. Use the graph. Take two points and count the rise over the run.
Will mark BRAINLIEST if you help
Which polynomial is prime?
Plz help!
I need help ASAP with question anyone?
Answer:
Option D
Answered by GAUTHMATH
Answer:
D.
Step-by-step explanation:
The asymptotes are at x = 1 and x = -4.
The denominator of option D is not defined for x = 1 and x = -4 since those two values cause a zero in the denominator.
Answer: D.
There is a 60% probability that a home in the United States has a large-screen TV. In a sample of six homes, what is the probability that there will be a large screen TV in:
Answer: You left out half the question so
Step-by-step explanation:
if you're looking for chance of x houses having a tv, then .6^x is your formula,
if you're looking for chance of x houses not having a tv, then .4^x will find it
Both formulas only apply if you're looking at specific homes, since your question is incomplete I can only guess at what your answer should be.
A car has 2gallons of gas. The car gets 30miles/gallon. Enter the conversion factor
The car will run 60 miles on 2 gallons of gas.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.
The run of the car will be calculated as,
1 gallon = 30 miles
2 gallons = 30 x 2 miles
2 gallons = 60 miles
Therefore, the car will run 60 miles on 2 gallons of gas.
To know more about an expression follow
https://brainly.com/question/13363911
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Can someone help me solve this geometry problem down below?
Answer:
x = 29
Step-by-step explanation:
Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.
Therefore:
m<CAB = m<CDE = 74°
m<ABC = 2x (given)
m<BCA = 48° (given)
Thus:
m<CAB + m<ABC + m<BCA = 180° (sum of triangle)
Substitute
74 + 2x + 48 = 180
Add like terms
2x + 122 = 180
2x + 122 - 122 = 180 - 122
2x = 58
2x/2 = 58/2
x = 29
Help!!! Will mark brainiest! Wrong answers will be reported, thx!
Answer:
(-1, -9/2) minimum true
1/2 (x+1)^2 -9/2 is the vertex form false
the axis of symmetry is at the x value of the vertex x=-1 false
The parabola opens up since the x^2 coefficient is positive false
x=-4 x=2 true
Step-by-step explanation:
f(x) = 1/2x^2 +x - 4
Factor out 1/2
f(x) = 1/2 (x^2 +2x - 8)
Factor
f(x) = 1/2 ( x+4)(x-2)
Finding the zeros
0= 1/2 ( x+4)(x-2)
Using the zero product property
x+4 = 0 x-2=0
x=-4 x=2
The vertex is 1/2 way between the zeros
(-4+2)/2 = -2/2 = -1
f(-1) = 1/2 (-1+4) (-1-2) = 1/2(3)(-3) =-9/2
The vertex is (-1, -9/2)
The parabola opens up since the x^2 coefficient is positive so this is the minimum
f(x) = 1/2 (x+1)^2 -9/2 is the vertex form
the axis of symmetry is at the x value of the vertex x=-1
a carpet is laid on a rectangular floor which measures 4meters by 5meters. if the carpet covers 60% of the floor find the area of the carpet
Answer:
12 m²
Step-by-step explanation:
Area of the floor:
area = length * width
area = 4 m * 5 m
area = 20 m²
area of carpet = 60% of area of the floor
area of carpet = 0.6 * 20 m²
area of carpet = 12 m²
Select the correct answer.
Consider the expression below.
9+ 4(x + 2) - 3x
Select the term that best describes "3" in the given expression.
ОА
exponent
OB.
constant
ОС.
variable
OD.
coefficient
The pie chart shows student participation in fundraisers
at Mountain View Middle School.
Mountain View Middle School
Fundraisers
Which describes a bar diagram showing the percent of
students who participated in dances?
1 shaded square out of 10 squares
2 shaded squares out of 10 squares
3 shaded squares out of 10 squares
4 shaded squares out of 10 squares
20
Carnival
Car Wash
Bake Sale
Talent Show
10
50
5
15
Dances
Answer:
Step-by-step explanation:
If you add all of the numbers up, you get 100. Dances are colored purple, and that is 20. 20/100 simplified is 1/5. 1/5 is equivalent to 2/10. Therefore, the answer is 2 shaded squares out of 10 squares.
HELPPP I need help ASAP please help me
9514 1404 393
Answer:
the first is two points; the second is the interval between (and including) those two points
Step-by-step explanation:
The equation ...
4 = |x +5|
has two solutions:
x ∈ {-9, -1}
__
In the interval between those two solutions the absolute value expression is less than 4. So, the second expression has a solution that is a range of values. Those values are in the interval whose boundaries are -9 and -1.
x ∈ [-9, -1]
__
The solution to the second expression can be found as ...
4 ≥ |x +5|
4 ≥ x+5 ≥ -4 . . . . express as a compound inequality
-1 ≥ x ≥ -9 . . . . . . subtract 5
__
The attached graph shows the two solutions. The solution to the first equation is the pair of (black) lines, x=-9 and x=-1. The solution to the second equation is the (orange) shaded interval -9 ≤ x ≤ -1.
What are the domain and range of f(x) = |x+6| ?
Answer: hey
Step-by-step explanation:
what is the solution for this equation?
In(x+6)-in(2x-1)=0
answers in the image!
Answer:
x=7
Step-by-step explanation:
ln(x+6)-ln(2x-1)=0
add ln(2x-1) to each side
ln(x+6) = ln(2x-1)
Raise each side to the base e
e^ln(x+6) = e^ln(2x-1)
x+6 = 2x-1
Subtract x from each side
x+6-x = 2x-1-x
6 = x-1
Add 1 to each side
6+1 = x-1+1
7=x
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
[tex]\sf ln(x+6)-ln(2x-1)=0\\\\\tt ln(x+6)=ln(2x-1)\\\\ \sf e^{ln(x+6)}=e^{ln(2x-1)}\\\\ \tt x+6=2x-1\\\\\sf 2x-1=6+1\\\\\bold x=7[/tex]
What is the product?
(x^4)3x^3-2)(4x^2 +5x)?
Answer:
[tex]{ \tt{( {x}^{4})(3 {x}^{3} - 2)(4 {x}^{2} + 5x) }} \\ = { \tt{( {x}^{4})( {12x}^{6} + 15 {x}^{4} - 8 {x}^{2} - 10x) }} \\ = { \tt{( {12x}^{24} + {15x}^{16} - {8x}^{8} - {10x}^{5} ) }}[/tex]
Answer:
[tex]\left(x^4\right)\left(3x^3-2\right)\left(4x^2+5x\right)[/tex]
[tex](3x^{3} -2)(4x^{2} +5x)[/tex]
[tex]12x^5+15x^4-8x^2-10x[/tex]
[tex]\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)[/tex]
[tex]=12x^9+15x^8-8x^6-10x^5[/tex]
Therefore, A is your answer
~~OAmalOHopeO
Domain and Range problem help
Answer:
0 < N <= 200
700 < C <= 2700
Step-by-step explanation:
see my answer to the other very similar question with the sugar transport for the details of the reasons.
Domain is the valid interval of the input variable of the function.
Range is the interval of possible result or functional values of the function.
again, are negative values useful for the number of produced books ? no.
is 0 a useful value for the number of produced books ? no. it would mean running the machines empty. does not make sense.
for the max. costs caused by producing 200 books :
10×200 + 700 = 2000 + 700 = 2700
Please Help!! :D
Find the value of y.
Answer:
[tex]y=2\sqrt{2}[/tex]
Step-by-step explanation:
The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex](1)^2+(y)^2=(3)^2[/tex]
Simplify,
[tex](1)^2+(y)^2=(3)^2[/tex]
[tex]1+y^2=9[/tex]
Inverse operations,
[tex]1+y^2=9[/tex]
[tex]y^2=8[/tex]
[tex]y=\sqrt{8}[/tex]
Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: ([tex]\sqrt{a*a}=a[/tex]),
[tex]y=\sqrt{8}[/tex]
[tex]8=2*2*2[/tex]
[tex]y=\sqrt{8}[/tex]
[tex]y=\sqrt{2*2*2}[/tex]
[tex]y=2\sqrt{2}[/tex]
The millage rate is the amount of property tax per $1000 of the taxable value of
a home. For a certain county the millage rate is 29 mil. A city within the county
also imposes a flat fee of $101 per home.
a. Write a function representing the total amount of property tax T(x) for a home
with a taxable value of x thousand dollars.
b. Write an equation for T
-1(x).
c. What does the inverse function represent in the context of this problem?
9514 1404 393
Answer:
a. T(x) = 29x +101
b. T^-1(x) = (x -101)/29
c. the value of the home in thousands as a function of the tax on it
Step-by-step explanation:
a. The tax is $101 plus $29 per thousand of value. x is the value in thousands, so the tax is ...
T(x) = 29x +101
__
b. The inverse function can be found by solving ...
x = T(y)
x = 29y +101
x -101 = 29y
y = (x -101)/29
T^-1(x) = (x -101)/29
__
c. The function tells you the tax on a home worth x thousands.
The inverse function tells you the worth of the home in thousands when the tax on it is x.
What value of x makes the equation 3x +7=22
Answer:
x = 5
Step-by-step explanation:
Your goal is to isolate x
3x + 7 = 22
Subtract 7 from both sides and you are left with
3x = 15
In order to isolate x divide both sides by 3
x = 5
A CD in the financial sense is
A.
a certificate of deposit
B.
a record of your transactions
C.
a
checking account
D.
a small savings account
Answer:
Step-by-step explanation:
Answer:
A, Certificate of Deposit
Step-by-step explanation:
Just got it right on Gradpoint
1728/6 Use the space below to enter the letters corresponding to the Limit Laws that you used to find this limit: Limit Laws A. Quotient Law B. Power Law C. Sum Law D. Product Law E. Constant Multiple Law F. Root Law G. Difference Law Answer:
Answer:
B. Power Law
C. Sum Law
G. Difference Law
Step-by-step explanation:
Power law determines functional relationship between two quantities. When there is change in one quantity, this will result in proportional relative change in another quantity. Sum law of limit determines the limit of sum of two functions. Difference law of limits is a constant times a function is equal to the limit of that function.
why is volume calculated in units cubed?
Please help asap for 100 pointsss~!!!!!
[tex] \sf \: Volume \: is \: calculated \: in \: cubic \: units \: ( {units}^{3} ) \: \\ \sf \: because \: we \: use \: volume \: to \\ \sf \: measure \: the \: space \: enclosed \: by \: \: 3 \: dimensional \: (3-D) \\ \sf \: figures \: like \: cuboid, \: cube, \: cylinder \: etc.[/tex]
In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?
1
y=0.5x - 10.5
O 2
y = -0.5x + 10.5
3
y = 2x + 10.5
4
y = -2x - 10.5
Answer:
2
y = -0.5x + 10.5
Step-by-step explanation:
put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular
2
y = -0.5x + 10.5
The American National Standards Institute specifications state that the
maximum slope of a wheelchair ramp should be one twelfth i.
The new ramp measures 5 feet high at its highest point and stretches
50 feet horizontally. Will this ramp pass specifications?
Answer:
No.
Step-by-step explanation:
Given that :
Maximum accepted Ramp slope = 1/12
A new ramp with :
Height range = 5 feets
Horizontal stretch = 50 feets
Th slope = Rise / Run = Height range / horizontal stretch = 5 / 50 = 1 / 10
1 / 10 > 1 / 12
This means the new ramp's slope is greater than than the maximum slope specification ; and hence not acceptable
What is the value of the expression below when w =
9 and x = 2?
w – 4x
graph f(x)= - square root -x
Answer:
1333
Step-by-step explanation:
Could someone possibly help me
Answer:
D) 0
Step-by-step explanation:
The statement says that some number is greater than -6. When the symbol is flipped to the left it means greater than and when it is the other way, <, it is less than. 0 is greater than -6, therefore the statement is made true. While it may seem like 0 is actually smaller this is not the case because the 6 is negative. That means that any number closer to positive numbers is larger.
