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
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.
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PLZ HELP NO WORK NEEDED JUST GIVE ME A PROPER ANSWER!
Answer:
incorrect: y= -1.5x
correct: The slope is 3.
HOPE I HELPED!!!
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-7)/(-6-(-2))
m=2/-4
m=-1/2
Choose the best definition for the following term: substitution
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answer:
A process where if two things are equal, one can be put in the place of the other and nothing will change
Step-by-step explanation:
Its like replacing :)
Answer:
A letter that holds the place for some unknown value in mathematics
Step-by-step explanation:
Well in all honesty subbing has many definitions depending on what it's used for so in what way are you implying that subbing is used for?
A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.
Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.
Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.
Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.
Calculate 42.25 – (3 x 4.25).
The initial value is 29.50.
SOMEBODY HELP ME OUT !!
Answer:
D
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ) , thus
X(- 1, - 3 ) → X'(- 3, 1 )
Y(0, 0 ) → Y'(0, 0 )
Z(1, - 3 ) → Z'(- 3, - 1 )
Can someone help me with these two questions?
Answer:
17) A(-1,1) B(-1,4) C(5,1)
18) (From origin moving rightwards)
A(0,0) B(a, 0) C(a,a) D(0,a)
Step-by-step explanation:
17) You just count the steps, how many steps left, right, up, or down
18) The first point is at the origin, so 0,0
The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.
The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.
The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.
4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2
Answer:
8x^4 - 28x^3 + 4x^2.
Step-by-step explanation:
4x(2x^3 - 7x^2 + x)
= 4 * 2x^3 + 4x*-7x^2 + 4x*x
= 8x^4 - 28x^3 + 4x^2.
Answer:
8[tex]x^{4}[/tex]-28x³+4x²
Step-by-step explanation:
4x(2x³-7x²+x)=
8[tex]x^{4}[/tex]-28x³+4x²
2x³ × 4x = 8[tex]x^{4}[/tex]
7x² × 4x = 28x³
x × 4x = 4x²
Walter pays $2.53 to ship a package that weighs 5.5 ounces. Which is the cost to ship 1 ounce?
__________________________________
Solution,
Cost of 5.5 ounces =$ 2.53
Cost of 1 ounce= 2.53/5.5
=$0.46
So the answer is $ 0.46
Hope it helps
Good luck on your assignment
_________________________________
The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?
119.80$
Step-by-step explanation:
if you add 15% to 104.17 is equal to 119.80
The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?
Answer:
Actually, the answer is $694.47
Step-by-step explanation:
You use the equation % over 100 = is over of
so you put
15 $104.17%
- = -
100 x
cross multiply the $104.17 by 100 and divide by 15
Please answer !!???????????!!! PLEASE 15 points!!!!!!!!!!!
Answer:
Question 9: slope= 4
Question 10: 10x+5y = -25
Step-by-step explanation:
For question 9, since it is a linear function, you can think of it as y=mx+b. "m" is the slope value. In your instance, m=4 so the slope is 4. For question 10, you need to reorder it into y=mx+b by moving the -25 to the left side and moving the 5y to the right side. After you do this, you should get 10x+25=-5y. Then divide both sides by -5 to get -2x-5=y. Since m is a negative value, the function has a negative slope. Since the "b" value is the y-intercept and this case it's -5, the y-intercept of the equation is -5.
The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15
Answer:
7/15
Step-by-step explanation:
probability of one being a a 3-pointer is
1 2 3 4 5 6 7
7/15
Probability that at least one of the next 5 baskets made by the team is a 3- pointer is 7 / 15.
What is probability?" Probability is a branch of mathematics which represents ratio of number of favourable outcomes to the total number of outcome of any event."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Random number represents 15 trials
Therefore,
Total number of outcomes = 15
At least one of the 5 team baskets made by the team is a 3- pointer
Sample space of favourable outcomes
= { 81357, 21761, 51537, 62135, 16687, 41662, 27135}
Number of favourable outcome = 7
Required probability = 7 / 15
Hence, Option (D) is the correct answer.
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2 root 2 minus root 2 is equal to
Answer:6
Step-by-step explanation:
Answer:
Here is the answer mate.....
Step-by-step explanation:
2 root 2 minus root 2 is equal to 0.
If you have question why then follow these steps....
√2-2
√0
anything root o means 0..
so, the answer is zero...
Hope it helps ☺️
Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog. A long rectangle is the top section. 2 smaller rectangles are the bottom section. The top section represents . The bottom section represents . The equation is . ASAP PLEASE MARKING BRAINLIEST
Answer:
[tex]\frac{1}{3}[/tex]f + 5 = 23
Step-by-step explanation:
Let's put this statement into words: Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds.
This is an equation representing the weight of Fabiola's dog:
[tex]\frac{1}{3}[/tex]f + 5 = 23
I honestly have no idea what the diagram is supposed to mean, it'd be great if you could provide a picture :), then I'll edit my answer.
Answer:
The top section represents...........23 pounds
The bottom section represents..........5 + 1/3f
The equation is.........23 = 1/3f + 5
Step-by-step explanation:
Which is an equation of the line with slope –3 and passes through (2, –1)?
Question 8 options:
a)
3x + y = 5
b)
–3x + y = 5
c)
y = –3(x + 5)
d)
y = 5x – 3
Consider the tables that represent ordered pairs corresponding to a function and its inverse. When comparing the functions using the values in the table, which conclusion can be made? According to the tables, f(x) does not have a y-intercept. According to the tables, f–1(x) does not have an x-intercept. The domain of f(x) is restricted such that x ≥ 0, so the domain of f–1(x) is restricted such that y ≥ 0. The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Answer:
D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Step-by-step explanation:
The missing tables are:
First table
x: 0 1 2
f(x): 1 10 100
Second table
x: 1000 100 10
f^-1(x): 3 2 1
Option A is not correct because f(x) has a y-intercept at (0, 1)
If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct
Option C is not correct because the domain of f^-1(x) is associated with x values.
Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa
Answer: D
The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Step-by-step explanation:
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-3x+9
y=-3x + 5
y=-3x – 11y
y=-3x + 25
Answer:
y=-3x+5
Step-by-step explanation:
y²-y¹=gradient
x²-x¹
6-7=gradient
-3+6
-1/3=gradient
y-6/x+3=-1/3
y-6=-1/3(x+3)
y-6=-1/3x-1
y=-1/3x+5
Which ordered pairs make both inequalities true? Check all that apply. (−5, 5) (0, 3) (0, −2) (1, 1) (3, −4)
Answer:
(0,-2) and (1,1)
Hope this helps :)
Answer: (0,-2) & (1,1)
Step-by-step explanation:
correct answers ✅
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
O "Look at the graph of the relationship Count the number of units up and the number of units to the right one must move to
arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."
Answer:
"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
Step-by-step explanation:
When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.
Hope this helps!
***PLEASE HELP***
If the expression f2+g4−2f+1 is rewritten in the form a2+(g2)2, what must be the value of a?
Answer:
(f-1)
Step-by-step explanation:
If you substitute a for (f-1) you get the expression...
The value of a if the expression f² + g⁴ − 2f + 1 is rewritten in the form a² + (g²)2 is f
How to rewrite the algebraic expressionf² + g⁴ − 2f + 1
f(f - 2) + g⁴ + 1
From the expressiona = f
Therefore, the value of a is f
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How would you solve this I’m confused
Answer:
[tex]x=8.5^o[/tex]
Step-by-step explanation:
Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.
So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:
[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]
Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:
[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]
If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.
============================================================
Explanation:
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value, so the answer is confirmed.
The equation that connects x and y, is, y = 12/(x^2).
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value,
Hence, The equation that connects x and y, is, y = 12/(x^2).
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Viet solved a quadratic equation. His work is shown below. In which step did Viet make an error? Step 1,2,or 3?
Answer:
Step 1
Step-by-step explanation:
he added 4 to the other side instead of taking away 4
Answer:
step 1
Step-by-step explanation:
HELLPPPP PLEASE ASAP WILL MARK BRAINLIEST!! PLEASW AND THANK YOUUU!!!
1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2
Given:
AC – AR
<1 = <2
Prove:
<3 =<4
Answer:
ΔCTA ≅ ΔDRA
Step-by-step explanation:
Triangles CTA and DRA are congruent by ASA postulate. This is because:
∠1 ≅ ∠2 (given)AC ≅ AR (given)∠A is the same for both triangles (they are opposite angles)Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4
3x-2≤5(x+2) . show all steps please.
Answer:
-6 ≤x
Step-by-step explanation:
3x-2≤5(x+2)
Distribute
3x-2≤5x+10
Subtract 3x
3x-2-3x≤5x +10-3x
-2 ≤2x+10
Subtract 10 from each side
-2-10 ≤2x+10-10
-12 ≤2x
Divide by 2
-12/2≤2x/2
-6 ≤x
Answer:
Step-by-step explanation:
You have to first use the distributive property of 5(x+2)
That would be 5x+10.
So it would be all together
[tex]3x-2\leq 5x+2[/tex]
to see if it is true
x=2
6-2
[tex]6-2\leq 10+2\\4\leq 12[/tex]
it is true
plz do both ill mark u brainliest
Answer:
1. C
2. A
Step-by-step explanation:
Hope these are right!
Answer:
Question 16's answer is choice B. divide both sides by 6
Step-by-step explanation:
6a=27
You need to get the variable by it's self so you need to divide both sides by 6 because the 'a' is being multiplied by 6 on the left side.
Answer:
Question 25's answer choice is B. 5
Step-by-step explanation:
1 3/4 + 5/6 =
7/4 + 5/6 =
21/12 + 10/12 = 31/12 = 2 7/12 = round to nearest whole number 3 so about three pizzas were eaten! so subtract 3 from 8 to get 5 pizzas left! :)
Good luck! Have a great day! Hope this helps!
(SHORT ANSWER IS BOTH QUESTIONS ARE B) LOL! ;)
if i were to save 10 dollars each 2 weeks how much will i have in 2 months
Answer:
I think the answer is 40.5
Step-by-step explanation: Because there are 4 and a half weeks in a month..... at the least. I may be wrong, just took a lucky guess. dont take my word for it.
[tex] ({3x}^{2} + 2x + 1) + ( {2x}^{2} - 4x - 5) + (3x - 1)[/tex]
Answer:
[tex]5x^2+x-5[/tex]
Step-by-step explanation:
[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]
Hope this helps!
help plz you got to help me
Answer:
$6.88
Step-by-step explanation:
$5.99(12 months) = $71.88 per year
$71.88 - $65 = $6.88
Can someone help please, thank you.
Answer: y - 2 = 3/2(x + 1)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:
y - (2) = 3/2(x - (-1))
y - 2 = 3/2(x + 1)
