Answer:
Slope: [tex]\frac{3}{1}[/tex]
Y-int: 9
Step-by-step explanation:
[tex]6x + -2y = 18[/tex]
-6x -6x
-2y = -6x + 18
----- ------------
-2 -2
y = 3x + 9
Write in slope-intercept form an equation of the line that passes through the given points. (-1, -1) (1, 5)
Step 1: We need to find the slope (or m) FIRST using slope formula*.
[tex]m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3[/tex]
m = 3
Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.
[tex]5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b[/tex]
b = 2
Step 3: Now we put it all together we get our equation in slope-intercept form**.
[tex]y = 3x + 2[/tex]
**Slope-intercept form: [tex]y = mx + b[/tex]
*Slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
prove y=6x-24 and y=1/6x +4 are inverse functions
Answer:
Answered
Step-by-step explanation:
Answer:
well you did the law of inverse on 6x you proved it by putting the one above it and switched the minus with a plus and divided 24 by 6
Step-by-step explanation:
is there a different way we can do it?
As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.
Answer:
48km
5miles = 8km
×6 = ×6
30miles= 48km
Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be $89.61 if she purchased two cans of soup and $94.98 if she bought five cans. Which equation could be used to describe Emma's grocery bill, B, in dollars as a function of the number of cans, C, purchased?
B(C)=2.69C+84.23
B(C)=1.99C+85.63
B(C)=1.79C+86.03
B(C)=1.07C+87.47
Answer:
3rd option: B(C)= 1.79C +86.03
Step-by-step explanation:
Total bill
= cost of cans(number of cans) +cost of other groceries
Let the cost of other groceries be G, and the cost of cans be X.
Given that number of cans= C,
Total bill= XC +G
If 2 cans were purchased,
2X+G= 89.61 -----(1)
If 5 cans were purchased,
5X +G= 94.98 -----(2)
(2) -(1):
(5X +G) -(2X +G)= 94.98 -89.61
5X +G -2x -G= 5.37
3X= 5.37
X= 5.37 ÷3 (÷3 on both sides)
X= 1.79
Subst. X= 1.79 into (1):
2(1.79) +G= 89.61
3.58 +G= 89.61
G= 89.61 -3.58 (-3.58 on both sides)
G= 86.03 (simplify)
Total bill
= XC +G
= 1.79C +86.03
Thus, the function is B(C)= 1.79C +86.03.
Answer:
the answer is (C)=1.79C+86.03
Step-by-step explanation:
HELP PLEASE! WILL GIVE BRAINLESIT
Answer: Hypotheses ?
Step-by-step explanation:
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less than the original price and Sam sold his car for 30% less than the original price. How much more did Ricky get than Sam?
Answer:
Ricky get $4 than Sam.
Step-by-step explanation:
.25x80=20
80-20=60
.30×80=24
80-24=56
NEED HELP ASAP PLS AND THANK YOU!!!!
Answer:
Step-by-step explanation:
Urgent urgent urgent urgent
You're urgent
What is the equation of the line?
Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.
Answer: YZ = 13
Point Y is between the points X and Z => XY + YZ = XZ
=> 3x - 4 + 2x + 3 = 24
<=> 5x - 1 = 24
<=> x = (24 + 1) : 5 = 5
with x = 5 => YZ = 2.5 + 3 = 13
Step-by-step explanation:
The length of segment YZ can be found using the segment addition
postulate that specifies the relationship between the segments.
The numerical length of YZ is 13Reasons:
The given location of point Y = Between points X and Z
Length of XY = 3·x - 4
Length of YZ = 2·x + 3
Length of XZ = 24
Required:
The length of YZ
Solution:
XY + YZ = XZ according to segment addition postulate
Therefore;
3·x - 4 + 2·x + 3 = 24
Which gives;
5·x - 1 = 24
5·x = 24 + 1
[tex]x = \dfrac{24 + 1}{5} = 5[/tex]
x = 5
YZ = 2·x + 3
Therefore;
YZ = 2 × 5 + 3 = 13
The numerical length of YZ is 13
Learn more here:
https://brainly.com/question/4710687
Which of the statements below translates the mathematical equation "4x + 5 = 21?
Step-by-step explanation:
4x + 5 = 21
4x+5-5=21-5
4x=16
Divide both side by 4 so that we can have the x
x=4
A quarter of five less than a number is no more than a third of five more than the same number.
Which of the following inequalities fits the description above?
(1 point)
14(x−5)≤13(x+5)
14(5−x)≤13(5+x)
14×5−x≤13×5+x
x−14×5≤x+13×5
Answer:
I am pretty sure its a... im doing the same thing and i am kinda thinking its that.
Step-by-step explanation:
How do you write 66% as a decimal?
Answer:
0.66
Hope this helps!
Answer:
0.66
Step-by-step explanation:
Move the decimal twice to the left whenever you try to convert a percent to a decimal
estimate 17320 nearest 10000
A family purchased tickets to a museum and spent a total of $70.00. The family
purchased 5 tickets. There was a $1.50 processing fee for each ticket. Write and solve
an equation that can be used to find x, the cost of one ticket to the museum. The equation must involve a variable. Show your work or explain your answer.
Answer: 12.5
Step-by-step explanation:1.50*5=7.5
7.5-70=62.5
62.5 divided by 5 = 12.5
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?
Answer:
Step-by-step explanation:
7
Compute the difference when 16 ÷ 4 × 2 is subtracted from 16 × 4 ÷ 2.
Answer:
-14
explanation:
(16 ÷ 4 )x 2)-(16 x 4 )÷ 2)
so 16 ÷ 4 is 4.
4x2 is 8
16x4 is 32
32 ÷ 2 is 16
2-16
-14
so basically its 14
if i got it wrong it can be 24
Determine whether the lines with the given slopes are parallel, perpendicular, or neither.
m1= 1/2 & m2= 0.5
Answer:
The given lines are parallel.
we already know that for parallel condition we apply;
m1=m2
1/2=0.5
0.5=0.5
plss help asapp!!!!! i need tou help im timed and please dont answer just for points!
AnswerB:
Step-by-step explanation:
it’s just B dude
Answer: Pretty sure its the third one, Brainliest is helpful
Step-by-step explanation:
What the equation of this graph in slope-intercept form?
Answer:
y= 3/5x + 3
Step-by-step explanation:
slope= 3/5
y intercept= 3
Answer: [tex]y=\frac{3}{5} x+3[/tex]
Step-by-step explanation:
To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).
[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]
Now that we know the slope, we can plug in any point to find the y-intercept.
[tex]3=\frac{3}{5} (0)+b[/tex] [multiply]
[tex]b=3[/tex]
Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].
PLEASE SOLVE, IN A HURRY!!!
WILL NAME BRAINLIEST!!!!
Answer:
394 miles.
(its hard to explain but you need to spit 1356 and add 284 to one half)
Answer:
820
Step-by-step explanation:
Let us call the trip back x. The trip back is 284 miles smaller than the trip back, so our equation can be:
x + x + 284 = 1356
2x + 284 = 1356
2x = 1072
x = 536
The we do 536 + 284 because the trip there was 284 miles longer, so that is 820
PLEASE HELP THIS HARD Ali deposits her weekly paycheck of $412.60 and withdraws $40 cash from her bank account each week. If her starting balance was $315.85, what is her balance after 3 weeks?
Answer:
Step-by-step explanation:
jjjj
Find the domain and range of y=-5x-1
Answer:
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex][tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
[tex]y=-5x-1[/tex]
The function has no undefined points nor domain constraints. Hence, the domain is
[tex]-\infty \:<x<\infty \:[/tex]
i.e.
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
[tex]-\infty \:<y<\infty \:[/tex]
i.e.
[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Find the value of x that makes A||B.
22 = 3x - 20 and 25 = x + 20
x = [?]
Enter
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[tex]angle \: 2 \: = angle \: 5[/tex]
[tex]3x - 20 = x + 20[/tex]
Add sides 20
[tex]3x - 20 + 20 = x + 20 + 20[/tex]
[tex]3x = x + 40[/tex]
Subtract sides x
[tex] - x + 3x = - x + x + 40[/tex]
[tex]2x = 40[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]
[tex]x = 20[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.
Answer:
66°
Step-by-step explanation:
tan β = [tex]\frac{4.1}{1.8}[/tex]
β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°
log2(y)=3log3(u)
log5(y)=2log(u) + 3log5(v)
Write y in terms of u and v
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
C) reflection over the x-axis
4x-1-5-2x
Help!!!!!!!!!!
Answer:
4x-1-5-2x
2x-6
Step-by-step explanation:
Answer:
2x - 6
Step-by-step explanation:
There are
150
150150 students in an eleventh grade high school class. There are
45
4545 students in the soccer team and
35
3535 students in the basketball team. Out of these students, there are
20
2020 who play on both teams.
Let
A
AA be the event that a randomly selected student in the class plays soccer and
B
BB be the event that the student plays basketball. Based on this information, answer the following questions.
What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the student plays soccer?
What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that the student plays basketball?
What is
P
(
A
and
B
)
P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the student plays soccer and basketball?
What is
P
(
A
|
B
)
P(A | B)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, the conditional probability that the student plays soccer given that he or she plays basketball?
Answer:
P(a)=0.3
P(b)=0.23
P(a&b)=0.13
P(a|b)=0.57
Step-by-step explanation:
Girl can I say this was very hard to read try better next time
By using a venn diagram we can figure out that out of the 150, 45 play soccer, 35 play basketball, 20 play both, 25 play exclusively soccer and 15 play exclusively basketball and 60 students in total play either
Let A be the probability of a student playing soccer and B be the probability of a student playing basketball
P(A)= 45/150
P(B)=35/150
P(A&B)=20/150
P(A|B)= 20/35
Simplify:
√5 ⋅ √12 ⋅ √50
O 10√30
O 10√10
O 7√30
O 7√10
Answer:
The answer is A 10squareroot of 30
Step-by-step explanation:
hope that helps you