The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One
Answers
Answer:
Zero
Step-by-step explanation:
Option C is correct, there are Infinitely many solutions are there to the system of equations.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The two lines are parallel, they have the same slope, which means that m is the same for both equations.
Therefore, the system of equations can be simplified to:
y = mx + b₁
y = mx + b₂
Subtracting the two equations, we get:
0 = b₁ - b₂
This means that the y-intercepts of the two lines are equal.
The two lines coincide with each other, and there are infinitely many solutions to the system of equations.
Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
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Related Questions
will mark bianleast plz pzl
Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis?
A'(5, 3) B'(–3, 2)
C'(–2, –2)
A'(5, 3) B'(3, –2)
C'(2, 2)
A'(–5, –3)
B'(3, –2)
C'(–2, –2)
A'(–5, –3) B'(3, –2)
C'(2, 2)
Answers
Answer:
A'(-5, -3) B'(3, -2) C'(2, 2)
Step-by-step explanation:
count the squares up or down to the x axis from each point and then go the same number of squares on the other side
Martin was given this expression to simplify: 23x + xy – y + 3y + 5 – 20x + 6xy He simplified the expression to: 43x + 7xy −3y What were Martin’s errors? Check all that apply. The combined coefficients of the x terms should be 3x, not 43x. The 7xy should be –7xy. The coefficients of the y terms have been multiplied. When you combine like terms, you add or subtract the coefficients. The constant was left off. The terms xy and 6xy are not like terms because there are two variables.
Answers
Answer:
Step-by-step explanation:
23x + xy - y + 3y + 5 - 20x + 6xy = 23x - 20x + xy + 6xy -y + 3y + 5
= 3x + 7xy + 2y + 5
Errors:1) The combined coefficients of the x terms should be 3x, not 43x
2) The coefficients of the y terms have been multiplied.
3) The constant was left off.
Answer:
1,3,4
Step-by-step explanation:
Which is the graph of the linear equation 3x – 4y = –12?
Answers
Answer:
You can graph it using desmos, a free graphing calculator available on your computer, or you can rearrange the equation into a y intercept form, y=mx+b
Step-by-step explanation:
-4y=-12-3x
y=3+(3/4)x
y=(3/4)x+3
Answer:
its graph D
Step-by-step explanation:
got a 100 in the test
PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?
Answers
Answer:
2
Step-by-step explanation:
sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16
sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8
thus 16/8 is 2
on a piece of paper, graph y=3/4x-3. use the gtaph to find the x intercept of the line
Answers
Answer:
the intercept is 3/4
Step-by-step explanation:
it's the number in front of the x lol
is a CR grade good or bad?
Answers
Please help! I have not seen a correct answer yet :(
A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,3,2 is one possible sequence.)
Answers
Answer:
60 possible sequences.
Step-by-step explanation:
That would be 6! / 3! 2!
6*5*4*3*2*1
= ------------------
3*2*1*2*1
= 5*4*3
= 60.
Somebody please help me please
Answers
Answer:
The correct sign is : <
Step-by-step explanation:
3.126 *10^2 is greater than 31260000*10^-9 by 312.56874
Answer: <
Step-by-step explanation:
10^-9 = .00000001
Multiply
31,260,000 * .00000001 = .3126 * 10^0 (1)
10^2 = 100
Multiply
3.126 * 100 = 312.6
.3126 * 10^0 < 3.126 * 10^2
can anyone help me and please explain
Answers
The answer is r=2/5b
is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°
Answers
Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:
DBA = 180 - 90 - 30
DBA = 60
The measure of the angle ∠DBA will be 60°. Then the correct option is C.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The diagram is given below.
BD is the diameter of circle O. If m∠ACB = 30°.
We know that the central angle is double the angle at the periphery that was subtended by the same chords.
∠AOB = 2∠ACB
∠AOB = 2 x 30
∠AOB = 60°
We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.
Thus, the measure of the angle ∠DBA will be 60°.
Then the correct option is C.
More about the circle link is given below.
https://brainly.com/question/11833983
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Solve using function notation please help
Answers
Answer:
x^2+5x+5
Step-by-step explanation:
Answer:
f(x)+g(x) = x^2 + 5x+5
Step-by-step explanation:
f(x) = 4x+5
g(x) = x^2 +x
f(x)+g(x) = 4x+5+ x^2 +x
Combine like terms
f(x)+g(x) = x^2 + 5x+5
Evaluate this expression.
3^-2 ANSWER ASAP PLEASE
Answers
Answer:
0.11111111111
Step-by-step explanation:
Answer:
1/9 or 0.1 repeating
Step-by-step explanation:
Start by doing the inverse of the square root of 2 (that is the negative sign)
The inverse of 3^-2 is 1/3^2
Therefore, your answer is 1/9.
Hope this helps!
What are the domain and the range of this function?
D : _ _ x: _ _
R: _ _ Y: _ _
for a test
Answers
d: -5_<x<1
r: -4_<y<7
D: negative five is less than or equal to x is less than one
R: negative four is less than or equal to y is less than seven
Solve by taking the square foot of both sides.
3(x+3)2 - - 81 = 0
x=-3-3-3 or – 3+3 / 3
b x = -3- 613 01-3+63
a.
c. x = 3-3301 3+33
d x-3-3-301-3+3.3
Answers
Answer:
x = - 12, x = 6
Step-by-step explanation:
Given
(x + 3)² - 81 = 0 ( add 81 to both sides )
(x + 3)² = 81 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )
x = - 3 ± 9
Thus
x = - 3 - 9 = - 12
x = - 3 + 9 = 6
When making a budget, a recommended goal is to spend 10% on utilities. In reality, household spending depends on economic levels. Households with incomes from $15,000 to $20,000 spend over 11% on utilities. Households with incomes from $50,000 to $70,000 spend 8.2% on utilities, while households with incomes above $150,000 spend only 4.8% on utilities. The McKinneys' annual income is $65,000. How much should they budget annually for utilities? Enter the answer as a whole dollar amount, such as $200.
Answers
Answer:
= $5530
Finds us 8.2%
Step-by-step explanation:
if 8.2 was recommended for utilities then we need to find 8.2% of $65,000
We take 65000 x 0.082 = 5530
Therefore the Mckinney's annual income is 65,000 less $5530 for utilities.
We write it as $5,530 in pen and type in whole amount as $ 5530.
Answer:
$5,330
Step-by-step explanation:
Read this statement:
"The McKinneys' annual income is $65,000."
Now, read this statement:
"Households with incomes from $50,000 to $70,000 spend 8.2% on utilities"
Since $65,000 is between $50,000 and $70,000, the percent you need is 8.2%.
8.2% of $65,000 = 0.082 * $65,000 = $5,330
The histogram shows the number of fish caught one weekend by members of a fishing club. Which statement is best supported by this histogram?
Seven people caught 5 fish.
One person caught more than 5 fish.
Between 3 and 5 people caught 5 fish.
Everyone caught at least 2 fish.
Answers
Answer:
Between 3 and 5 people caught 5 fish.
Step-by-step explanation:
Hope that helps
Answer:
Between 3 and 5 people caught fish
Step-by-step explanation:
Because it is the highest bar
True or False? The following is an example of a proportion:
The temperature is 43 degrees at 8 A.M. and 65 degrees at 11 A.M.
True
False
Answers
Answer:
Step-by-step explanation:
Which function equation is represented by the graph? f(x)=12(4/3)x f(x)=12(1/2)x f(x)=12(3/2)x f(x)=12(2/3)x
Answers
it’s d; f(x)= 12 (2/3)^x
Can I get some help on this question?
Answers
solve for v: 3/5 v= 1/5
Answers
Answer:
Step-by-step explanation:
solve for v: simplifying both sides of the equation, then the variable.
Exact Form:
v= 1/3
Decimal Form:
v=0.3
The radius of an orange is 1.5 inches.
What is the volume of the orange?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
Answers
Answer:
14.14
Step-by-step explanation:
V=4
3πr3=4
3·π·1.53≈14.13717
Simplify -3+i/7 + i
First, multiply both the numerator and
denominator by___.
A. -3 + i
B. -3 - i
C. 7 + i
D. 7 - 1
Answers
Answer:
D. 7 - i
Step-by-step explanation:
(-3+i)/(7 + i)=
(-3+i)(7-i)/(7+i)(7-i)=
(-21+10i+1)/50=
(10i-20)/50=
0.2i-0.4
Can someone help me with this?
Answers
Answer:
0.25 seconds
Step-by-step explanation:
First let's expand the function h:
[tex]h = -16(t- 1/4)^2 + 49[/tex]
[tex]h = -16(t^2 - t/2 + 1/16) + 49[/tex]
[tex]h = -16t^2 + 8t - 1 + 49[/tex]
[tex]h = -16t^2 + 8t + 48[/tex]
To find when the marshmallow reaches the maximum height, we can use the formula to find the vertex of the quadratic function, and the x-coordinate of the vertex is when we have the maximum height:
[tex]x_{vertex} = -b/2a[/tex]
In our equation, b = 8 and a = -16, so:
[tex]t_{vertex} = -8 / (-32) = 0.25\ seconds[/tex]
What is the area of the figure in the picture?
Answers
Answer:
[tex]26.14yd^2[/tex]
Step-by-step explanation:
Triangle
[tex]A=\frac{h_bb}{2} \\=\frac{4*6}{2} \\=12yd^2\\\\A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 3^2\\=14.14yd^2\\\\12+14.14=26.14yd^2[/tex]
Answer:
Step-by-step explanation:
The area of a circle knowing the diameter is 28.2743, now divide between 2: 14,13715
Now the area of the triangle give us: 9.238
9.238 + 14,13715 = 23.37515
The procedure is in the images
App used: CalculateMyFigure
There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP
Answers
Answer: Yes
if the selection is randomly picked and it's within the statistical population.
Step-by-step explanation:
Sampling is the random selection of objects within the statistical data or population.
This random selected individual will represent the whole population.
If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.
6) A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?
11) At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
13) An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, explain in words why 15 is closest to the probability that the next customer will pay cash.
14) A store owner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, write a decimal, rounded to the tenths place to show the probability that the next customer will buy a blank card.
Answers
Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19?
x= 1/3
x=3 1/3
Answers
Answer:
x =1/3
Step-by-step explanation:
the zero quadratic function is x=1/3
what is 9y5−4y3−8y7−5y6+3y4 written in standard form?
Answers
Answer:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
Step-by-step explanation:
Please be sure to use " ^ " to indicate exponentiation. Then,
your 9y5−4y3−8y7−5y6+3y4 becomes 9y^5 - 4y^3 - 8y^7 - 5y^6 + 3y^4.
We must now write that in descending order by powers of y:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
What is the measure of the obtuse angle?
Answers
Answer:
The measure of and obtuse angle is 180°
Step-by-step explanation:
obtuse angles are more than 90°but less than 180°
||x-5|+2|<=3
please help
Answers
Answer:
x e [-10,-4]
Step-by-step explanation:
||x-5|+2|≤3
|x+5+2|≤3
|x+7|≤3
x+7≤3
x≤-4
x+7≥-3
x≥-10
x e [-10,-4]
