Answer:
The linear equations which have one solution are C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex], D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex] and E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex].
Step-by-step explanation:
From Algebra we know that a system of linear equation has a unique solution when the number of variables is equal to the number of equations. Now we proceed to check if each option fulfills this condition:
A. [tex]5\cdot x -1 = 3\cdot (r + 11)[/tex]: Number of equations: 1/Number of variables: 2 [tex]\{x, r\}[/tex]
B. [tex]4\cdot (r-2)+4\cdot x = 8\cdot (x-9)[/tex]: Number of equations: 1/Number of variables: 2 [tex]\{x, r\}[/tex]
C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]
D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]
E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]
The linear equations which have one solution are C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex], D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex] and E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex].
Which is true about the functional relationship shown in the graph?
A. The shipping cost is a function of the weight of the package.
B. The weight of the package is a function of the number of packages.
C. The shipping cost is a function of the number of packages.
D. The weight of the package is a function of the shipping cost
Answer:
A. The shipping cost is a function of the weight of the package.
Step-by-step explanation:
the input value x and the output value y, and y is a function of x
Answer:
j
Step-by-step explanation:
need the answer now pls
Answer:
35x-35y
Step by step explanation: I
0.5(20x-50y+36)-0.25(100x+40y-12)
10x-25y+18+25x-10y+3 -------- after we distribute 0.5&-0.25
10x+25x-25y-10y+18+3. ---------we collect the like terms to add them or substract
35x-35y+21 -----------------------------simplified form
Answer:
35x-35y
Step-by-step explanation:
simply simplify both sides then subtract
HELP ASAP PLEASE
What is the equation of the line tangent to the function f(x) = 1 – x2 at x = –3?
y = 6x + 10
y = 6x + 26
y = –6x – 8
y = –6x – 26
Plug the formula into Desmos and even just visually
C. " y = -6x - 8
is the answer
The equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8. Option C is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the function is,f(x) = 1 – x²
We have to find the equation of the line tangent to the function f(x) = 1 – x² at x = –3.
Determine the function's first derivative f(x), To get the slope at a given location, plug the specified point's x value into f'(x). To determine the tangent point's y coordinate, plug the value of x into f(x). The point-slope formula may be used to combine the slope from step 2 with the point from step 3 to produce the equation for the tangent line.
Thus, the equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8.Option C is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaining savings. What is the total amount of saving the two had at first
Answer:
P.7500.00
Step-by-step explanation:
We are told that:
The ratio of Val's savings to Dan is 2:3 at first.
Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.
Let's say the total amount of savings they had at first was x.
Thus;
Val had: 2x/5
Dan had: 3x/5
Now, Dan spent P3000.00.
So amount Dan has left = (3x/5) - 3000
We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings
Thus; 2x/5 = (4/3)((3x/5) - 3000)
2x/5 = 12x/15 - 4000
Multiply through by 15 to get;
6x = 12x - (3000 × 15)
6x = 12x - 45000
Rearranging, we have;
12x - 6x = 45000
6x = 45000
x = 45000/6
x = P.7500
The total amount of saving the two had at first is P7500 and this can be determined by using the arithmetic operations and given data.
Given :
The ratio of Val's savings to Dan is 2:3 at first.After Dan spent P3000.00, Val's saving became 4/3 more of that Dan's remaining savings.Given that the ratio of Val's savings to Dan is 2:3 at first. Now, assume that the total amount of savings they had at first was x. So:
Val's had - 2x/5
Dan's had - 3x/5
Now, it is also given that Dan's spent P3000. So, the amount left is:
[tex]\rm =\dfrac{2x}{5}-3000[/tex]
It is given that Val's saving became 4/3 more of that Dan's remaining savings. That is:
[tex]\dfrac{2x}{5} = \dfrac{4}{3} \times\left( \dfrac{3x}{5}-3000 \right)[/tex]
[tex]\dfrac{6x}{20} = \dfrac{3x}{5}-6000[/tex]
[tex]x = \dfrac{45000}{6}[/tex]
x = P.7500
The total amount of saving the two had at first is P7500.
For more information, refer to the link given below:
https://brainly.com/question/13101306
Round 27,141 to the nearest ten
whats 5.267 X N = 526.7
Answer:
N=100
Step-by step explanation
Count how many times the decimal gets moved to the right in this case it moved to the hundredths place therefore the answer is 100
please help me with this
What is 2(-9x-4y-7) simplified
When an item worth more than 15,000 is given to someone, what is this tax called?
sales
gift
estate
present
Answer:
B. Gift
Step-by-step explanation:
Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.
A gift tax can be defined as a type of tax that is imposed or levied on property or money that is being transferred (given) as a gift from one person to another. Thus, in this type of scenario, there are no financial incentives or compensation for this items being gifted.
Basically, the annual gift tax exemption or exclusion for this year is $15,000 per recipient.
Hence, when an item worth more than 15,000 is given to someone, this tax is called gift tax.
4;
Mark wants to fence 4 rectangular gardens, each with a length of4 feet and a width of 2 feet. What is the total length of fencing Mark needs to
surround all 4 gardens?
Mark needs
feet of fencing.
Answer:
48 ft
Step-by-step explanation:
perimeter of rectangular garden=2(l+b)
=2(4+2) = 12ft
for such 4 gardens = 12×4
=48ft of fencing needed
Answer:
length of rectangular garden =4feet
width =2feet
perimeter of rectangular garden=2(l+b)
=2(4+2)
=2*6
=12
total fencing needs for 4 rectangular gardens=
=12*4= 48feet
Step-by-step explanation:
hope my answer is helpful to you
What is the determinant of the coefficient matrix of the system?
please help!!!
Answer:
Third option: 0
Step-by-step explanation:
edge2020
Answer:
The answer is 0!
Step-by-step explanation:
edge 2021
A MOVIE THEATRE HAS TWO ROOMS. ROOM A HAS 9 ROWS WITH 18 SEATS IN EACH ROW. ROW B HAS THREE TIMES AS MANY SEATS AS ROOM A. HOW MANY SEATS ARE THERE IS BOTH ROOMS?
On a hike, Twyla traveled from an altitude of 527 meters to an altitude of 487 meters. Which statement uses absolute value correctly? *
Answer:
Difference, D = 40
Step-by-step explanation:
This question requires options. Since there's none, I'll answer generally.
Represent the distances with d1 and d2
d1 = 527 Meters
d2 = 487 Meters
Required
Determine the absolute difference
The absolute difference (D) of the given distances can be calculated using the following expression
D = |d1 - d2|
Substitute values for d1 and d2
D = |527−487|
D =|40|
D = 40
Hence, Twyla traveled 40 meters.
Part 2: PLEASE HELP!!
Answer:
Nonlinear function
Step-by-step explanation:
It is visual that the graphed function is not linear
................................
Nonlinear function
..................................
Can someone tell me the answer to me pls I have to be done in 20 minutes
Answer:
x = 9.25
Step-by-step explanation:
It is given that ABC is an isosceles triangle.
m∠A = 43° and m∠C = (6x+13)°
We need to find the value of x.
The sum of a triangle is equal to 180°.
∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°
∠A+∠B +∠C=180
43+∠B+(6x+13)°=180
6x+∠B+56=180
6x+∠B = 124
∠B =124-6x
For an isosceles triangle,
∠B = ∠C
124-6x = (6x+13)
124-13 = 6x+6x
111 = 12x
x = 9.25
So, the value of x is 9.25.
Solve the inequality –1 > –2(x – 4) – 5(4x – 7).
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]–1 > –2(x – 4) – 5(4x – 7)[/tex]
[tex]–1 > –2x + 8 –20x + 35[/tex]
[tex]–1 > - 22x + 43[/tex]
[tex] - 1 - 43 > - 22x[/tex]
[tex] - 44 > - 22x[/tex]
[tex] \frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22} [/tex]
[tex]2 < x[/tex]
[tex]x > 2[/tex]
What Does an E at the End of a Number Mean?
in a calculator
Answer:
Exponent
Step-by-step explanation:
Answer:
exponent
Step-by-step explanation:
What is 65 percent of 30,000?
Answer:
19500
Step-by-step explanation:
5)
Write the following in function notation.
y = 3x - 10
A)
x = 3y - 10
B)
f(x) = 3y - 10
C)
f(x) = 3x - 10
D)
f(y) = 3x - 10
Answer:
C
Step-by-step explanation:
The cost to join a yoga studio is 100$, plus 25$ per month. What is the cost of the first 8 months at the yoga studio?
I believe it is 275$ but not certain
A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor informs patients of a new medication and asks if they want to participate; 30 patients who are currently taking medication for cholesterol volunteer to be part of the study. She uses random assignment of the 30 patients to two treatment groups: one that uses the new medication, and one that uses the original medication. Which of the following describes the benefit of random assignment?
The variability between the medications would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would more likely be due to the subjects.
The variability between the medications would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would be guaranteed to be due to the subjects.
The variability between the subjects would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would more likely be due to the new medication.
The variability between the subjects would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would be guaranteed to be due to the new medication.
Answer:
The variability between the subjects would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would more likely be due to the new medication.
Step-by-step explanation:
Edge 2020/2021
Answer:
c
Step-by-step explanation:
edge
Anyone can help me out with this please
Answer:
the first one, the fourth one, and the last/fifth one
Step-by-step explanation:
I believe that you were technically supposed to put the variables and numbers in, but it's easier if you just use Desmos :)
Answer:
a d e
Step-by-step explanation:
everything In red is correct
Redondea ala décima: 0.985
Answer:
0.990
Step-by-step explanation:
Slope 8 ; through (4,3)
Answer:
y=8x-29
Step-by-step explanation:
Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.
Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).
x=4, y=3... so 3=8(4)+b
Now you can solve for the variable b to find the y-intercept.
3=8(4)+b, multiply...
3=32+b, subtract 32 on both sides...
-29=b
Therefore, the y-intercept, or b, is -29.
The equation would be y=8x-29
Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°.
What are the values of x and y?
Answer:
x=25°
y=25°
Step-by-step explanation:
E^+F+EG^F=180°(sum of int. angles of triangle)
x+35+90+30=180
x=180-90-30-35
×=25
HE^G+H+G=180° (sum of int. angles of triangle)
35+30+y+90=180
y=180-90-35-30
y=25
what is 1/4 of 7/2...................................
Answer:
0.875 or 7/8
Step-by-step explanation:
1/4
because it is lesser
if it was greater then
it would be 7/2
HELP PLZ.
will give brainliest
Answer:
D
Step-by-step explanation:
Choose the best graph that represents the linear equation: 3y + 9x = 21
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Answer:
c. Graph C
I hope this helps!
Y= 1/3x-1
Y=-3x-1
Y=3x-1
Y=1/3x+1
Answer:
y=3x-1
Step-by-step explanation:
The ratio of orange juice concentrate to water that Zoe used to make orange juice yesterday was 3 : 7. She used 14 ounces of water in the juice yesterday. Today she wants to make twice as much orange juice. Is the relationship between the amount of orange juice concentrate c and the amount of water a proportional? Explain.
Answer:
14
Step-by-step explanation: