ANSWER: -1/4
EXPLANATION:
4x-y=9
y=4x-9
(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)
(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient
So, m1 x 4= -1
m of perp line= -1/4
Sari opened a savings account with $150.00. The account earns interest at a rate of 6% compounded annually.
The table below shows her account balance at the end of each of the first three years.
If Sari makes no additional deposits or withdrawals, which of the following will be closest to her account balance at the end of year 6?
$184.65
$189.37
$200.73
$212.77
Step-by-step explanation:
A = P(1 + r)^t
= $150.00 * (1 + 0.06)^6
= $212.77.
Hence Sari will have $212.77 at the end of year 6.
Calculate the average rate of change of y=x2+3x−2 on the interval 1≤x≤2
Answer:
The rate of change for the given function is 6.
Step-by-step explanation:
Given function is:
[tex]y = x^2+3x-2[/tex]
The interval on which we have to find the rate of change is:
1≤x≤2
Here
a = 1
b = 2
We have to find the values of function on both points
Putting 1 in place of input (x)
[tex]y_a= (1)^2+3(1)-2\\= 1+3-2\\=2[/tex]
Putting x = 2
[tex]y_b = (2)^2+3(2)-2\\= 4+6-2\\=8[/tex]
The rate of change is calculated by using the following formula
[tex]Rate\ of\ change = \frac{y_b-y_a}{b-a}\\=\frac{8-2}{2-1}\\= \frac{6}{1}\\=6[/tex]
Hence,
The rate of change for the given function is 6.
REEEEEEEEEEEEEEEEE I need help plz ;-;
Answer:
Step-by-step explanation:
150 ft in 30 seconds
150/30=5 we have 5 ft per second
in 10 seconds 5*10=50 ft
choice C
Answer:
C: y=5x; 50
Step-by-step explanation:
Dividing 130 by 5 tells you that they travel 5 feet per second.
So,
y=5x
y=5(10)
50
Two lines, M and N, are represented by the following equations: Line M: y = x + 3 Line N: y = −2x + 6 Which of the following options shows the solution to the system of equations and explains why?
A (1, 4), because the point does not lie on any axis
B (1, 4), because one of the lines passes through this point
C (1, 4), because both lines pass through this point
D (1, 4), because the point lies between the two axes
Answer:
C (1, 4), because both lines pass through this point
Step-by-step explanation:
do the graph when both lines pass through the same point
1) Line M, for: x=0, and y=0
2) Line N, for: x=0, and y=0
Answer:
C (1, 4), because both lines pass through this point
Step-by-step explanation:
got it right
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
Group of answer choices
0.2
0.4
0.35
0.45
The value of z = 0.2
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Sum of probabilities:"The sum of the probabilities of all outcomes must equal 1."
For given situation,
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
The probability of customers choosing Vanilla flavor = 0.45
The probability of customers choosing Chocolate flavor = 0.35
We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.
The sum of the probabilities of all outcomes must equal 1.
From given tree diagram,
⇒ 0.45 + 0.35 + z = 1
⇒ 0.8 + z = 1
⇒ z = 1 - 0.8
⇒ z = 0.2
Therefore, the correct answer is option (A)
Learn more about probability here:
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If you could help I would really appreciate it, but if not that’s fine. Thank you.
6a - 3d
When a =1,d=2
Is it 0
3
1
12
Answer:
0
Step-by-step explanation:
2. 4x + 5y = -30
Slope-standard form
2^k is the largest power of 2 the is a factor of (9!). What is k
Step-by-step explanation:
9!
= 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9
= ... * 2¹ ... * 2² ... * (2 * 3) ... * 2³
= 2⁷ ...
Hence k is 7.
Domain and Range NAME: MR. Q State the domain and range for each graph and then tell if the graph is a function (write yes or no). 1) Domain 2) Domain 3Doman Range Range Range Function? Function? Function?
Answer:
1) Domain = -3 ≤ x ≤ 2
Range = -4 ≤ y ≤ 5
Function? No
Step-by-step explanation:
From the given graph, we have;
The domain of the dot plot = -3 ≤ x ≤ 2
The range of the dot plot = -4 ≤ y ≤ 5
From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3
Therefore, the relation is not a function as one input value produces two output values.
Select the correct answer.
What is the missing side length in this right triangle?
Answer:
15
Step-by-step explanation:
It's a right angle triangle so we can use the pythogorean theorem to solve for Hypotenuse
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
So if we apply this formula,
[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]
[tex]81 + 144 = {c}^{2} [/tex]
[tex]225 = {c}^{2} [/tex]
[tex]c = \sqrt{225} [/tex]
[tex]c = 15[/tex]
Hope this helps :)
1. The point (4, - 2) is the vertex of the graph of a quadratic function. The points (8,6)
and (2,0) also fall on the graph of the function. Complete the graph of this
quadratic function by first finding two additional points on the graph.
2
0
10
10
9
-8
-4
-6
-2
4
6
8
10
-2
-4
-6
-107
Part A:
What is the y-intercept of the graph?
Part B:
What are the x-intercepts?
Part C:
Find the interval on which the rate of change is always positive.
Part D:
What is the sign of the leading coefficient for this quadratic function? How
do you know?
El
Answer:
It doesn't make sense and their no picture that provides us with clear evidence on how to answer this better then how your explaing
Step-by-step explanation:
I don't know how to know how to answer this lol, because I need a better explination
Which of these steps will eliminate a variable in this system?
6x - 3y = 8
23 + 6y = 16
A. Multiply the first equation by 2. Then subtract the second equation
from the first
B. Multiply the second equation by 3. Then add the equations.
C. Multiply the second equation by 2. Then add the equations.
D. Multiply the second equation by 3. Then subtract the second
equation from the first.
Answer:Multiply the second equation by 3. Then subtract the second equation from the first.
Step-by-step explanation:
Tina has 10 packages of yarn to knit a scarf. She uses ⅓ package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Answer: 30
Step-by-step explanation:
From the question, we are informed that Tina has 10 packages of yarn to knit a scarf and that he uses ⅓ package of yarn for each inch of length she adds to the scarf.
Since she used all the yarn, the length of the cloth would be:
= 10 ÷ 1/3
= 10 × 3
= 30 inch
The tables correspond to two lines in the coordinate plane.What is the X- coordinate of the solution of the two lines? hint:what point is the same?
Answer:
2
Step-by-step explanation:
when x=2, both lines have a y of -4
What is the slope of 2y-4=8x
Answer:
4
Step-by-step explanation:
this is beacsue
I need helppppppppppppppppppppp
Answer: x=20.6 miles and y=$22.05
Step-by-step explanation: Good luck!
plz help so i can pass
Answer:
A im pretty sure it is
Step-by-step explanation:
Don's credit score is 777, while Zelda's credit score is 709. According to the
following table for a $150,000 mortgage, how much more would Zelda have
to pay per month than Don?
FICO
Interest
rate
5.59%
Monthly
payment
$860
score
720-850
700-719
675-699
620-674
560-619
500-559
5.71%
6.25%
7.40%
8.53%
9.29%
$872
$924
$1039
$1157
$1238
O A. $115
O B. $52
C. $64
D. $12
Answer: D
Step-by-step explanation: $12
Zelda would have to pay $64 more per month than Don as per the given data. The correct option is C.
Since Don's credit score is 777, his FICO score range is 720-850, and he will be charged an interest rate of 5.59%. Thus, his monthly payment will be $860.
For Zelda, since her credit score is 709, her FICO score range is 675-699, and she will be charged an interest rate of 6.25%. Using this interest rate and the mortgage amount of $150,000, her monthly payment would be $924.
Therefore, Zelda would have to pay $64 more per month than Don. The answer is option C.
For more details regarding credit score, visit:
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Lake Chad in Africa had a surface area of about 10,000 square miles in 1963. Because of climate changes and increased water usage by humans, the surface area decreased to about 850 square miles in 2001. By what percent did the surface area change from 1963 to 2001?
Answer:
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Step-by-step explanation:
2x^2-2x , how do you graph this ?
Answer:
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
8
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
8
−
1
2
0
0
1
2
2
8
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
8
x
y
−
2
8
−
1
2
0
0
1
2
2
8
In a video store, a DVD that sells for $20 is marked down to $14. What is the
percent discount? *
Explain how you got your answer.
AB formed by (2, 3) and (-1, 4)
CD formed by (-5, 3) and (-4, 6)
Help
Please due now!!!!
Answer:
3920
Step-by-step explanation:
(9+11)(14•14)
(20)(196)
20 x 196
3920
Answer:
3920
Step-by-step explanation:
According to the question ,
x = 14 ; y = 9 ; z = 2
So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]
[tex] = > (9 + 11)( {14}^{2} )[/tex]
[tex] = > 20 \times 196 = 3920[/tex]
what is eight over nine divided by two over three equal to?
Answer:
4/3
Step-by-step explanation:
Let the fractions be A and B.
Given the following data;
Fraction A = 8/9
Fraction B = 2/3
[tex] \frac {Fraction A}{Fraction B} = \frac {\frac {8}{9}} {\frac {2}{3}} [/tex]
[tex] \frac {Fraction A}{Fraction B} = \frac {8}{9} * \frac {3}{2} [/tex]
[tex] \frac {Fraction A}{Fraction B} = \frac {24}{18} [/tex]
Dividing by 6, we have;
[tex] \frac {Fraction A}{Fraction B} = 4/3 [/tex]
help anyone ?????????????
Answer:
4
Step-by-step explanation:
Answer:
1/4 is the answer
Step-by-step explanation:
just look at it show you that it is 1/4
The same cold front hit Harhord, Connecticut the next morning. The temperature dropped by 5 degrees each hour from 5:00 a.M. To 9:00 a.M. What was the beginning temperature at 5:00 a.M. If the temperature at 9:00 a.M. Was -12F ?
Answer:
This doesn't make sense
Step-by-step explanation:
This doesn't make sense please emphasize
At 10:00 am, a person observes a hot air balloon climbing vertically in the air from a
point 300 meters away from the launch pad for the balloon. The angle of elevation to
the top of the balloon at this time is 25°. At 10:02am, the person observes that the
angle of elevation to the balloon is now 60°. What is the change in altitude, to the
nearest meter, for the balloon over the 2 minutes between the first and second
observations?
Answer:
We are given two observations Lets use geometric properties to solve300 meters is the hyp or c Theta is 25 degree Theta changes to 60 degree Hence tan(25)= x1/300x1=139.8Now let's find the second height tan(60) =x2/300x2=519.6 ft Now x2-x1 So the difference is 379.8 ftJazmine makes a base salary of $750 per week. She sold a car this week for $25,000 and get a 3% commission on her sales. What is her total salary this week?
Answer:
1,500
Step-by-step explanation:
Solve this equation. Please show work.
log(4m-10)=1
Answer:
m=5
Step-by-step explanation:
1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]
2. Any expression raised to the power of 1 equals itself so ... 4m-10=10
3. Move the constant to the right-hand side and change its sign so ... 4m=10+10
4. Add the numbers so ... 4m=20
5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]
6. Check if the solution is in the defined range so ... m=5