Using it's concepts, the domain and the range of the function are given as follows:
a) Domain: [0, 7].
b) Range: [0, 300].
What are the domain and the range of the function?The domain of a function is composed by the set of all possible input values of the function. Hence, on the graph, the domain is composed by the values of x.
In the context of this problem, the input of the function is the number of days. A week has 7 days, hence the domain of the function is given by:
[0, 7].
The range of a function is composed by the set of all possible output values of the function. Hence, on the graph, the range is composed by the values of y.
In the context of this problem, the output of the function is the balance of the bank account after each day. Supposing that the smallest balance of the account is of $0, and considering the greatest balance of $300 stated in the problem, the range of the function is given by:
[0, 300].
What is the missing information?The graph of the function is incomplete, hence we suppose that the minimum balance is of $0.
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What is the general form of the equation of the line shown?
y
2 x-y+ 3 = 0
2 X-Y-3 = 0
ox-2y-3=0
Answer:
Sorry for late response, but I believe it may be 2x - y - 3 = 0.
Step-by-step explanation:
The general form of the equation of the line shown is,
⇒ y = - x + 3
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 1) and (0, 3).
Now,
Since, The equation of line passes through the points (2, 1) and (0, 3).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (3 - 1)) / (0 - 2)
m = 2 / - 2
m = - 1
Thus, The equation of line with slope - 1 is,
⇒ y - 1 = - 1 (x - 2)
⇒ y - 1 = - x + 2
⇒ y = - x + 2 + 1
⇒ y = - x + 3
Therefore, The general form of the equation of the line shown is,
⇒ y = - x + 3
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How do you explain a diameter of 0.00085 inches using scientific notation
Answer:
8.5 [tex]E^{-4}[/tex] inches
Step-by-step explanation:
Scientific scientific notation is where the super small / super large number is multiplied by a 10 (E) to the power of a number. Here, the number is smaller than 8.5 so our power must be negative. As we are making it four "places" bigger, we use the exponent of -4.
Hope this helps, have a nice day! :D
graph the inequalities y < 4/3x - 2
Answer:
go there
Step-by-step explanation:
yw :)
Mrs. Sampson is reviewing her customers' credit card balances in order to create a special mailing list. For the mailing list, she only wants to include customers that have a credit card debt less than $2,500. Part of her list is shown in the table below.
Customer's Last Name Credit Card Balance
McGill -$2,934
Rose -$2,456
Louve -$2,243
Griffin -$3,265
Rizo -$1,826
Which of these customers would be included in the special mailing list?
choose more than one
A Louve
B Rose
C McGill
D Rizo
E Griffin
Answer:
A. Louve
B. Rose
D. Rizo
Total: $6,525 loans payed
McGill ($2,934) and Griffin ($3,265) has too much to pay off (remember Mrs. Sampson wants to pay off customers debt that is less than $2,500)
McGill and Griffin total (if you want to know): $6,199
Total for everyone's debt (if you want to know again): $12,724
Hope this helps, have a nice day/night! :D
Can I get some help plz?...
Answer:
[tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
The first step to solving this problem is to convert these into improper fractions.
[tex]7\frac{2}{3} =\frac{21+2}{3}=\frac{23}{3}[/tex]
[tex]5\frac{1}{9} =\frac{45+1}{9}=\frac{46}{9}[/tex]
The second step is to determine the reciprocal of the second term.
Reciprocal of [tex]\frac{46}{9} =\frac{9}{46}[/tex]
The third step is to multiply the first term by the reciprocal of the second term.
[tex]\frac{23}{3}*\frac{9}{46}=\frac{207}{138}[/tex]
The fourth step is to reduce this fraction.
[tex]\frac{207}{138}=\frac{3(69)}{3(46)}=\frac{23(3)}{23(2)}=\frac{3}{2}=1\frac{1}{2}[/tex]
Answer:
1 1/2 or 3/2
Step-by-step explanation:
First you need to make your fractions improper.
7 times 3 + 2 = 23, so the fraction is 23/3
5 times 9 + 1 = 46, so the fraction is 46/9
Since this is division, flip the second fraction.
So instead of 46/9, it's now 9/46
Now you can multiply.
23/3 + 9/46 = 207/138
207/138 simplified is 3/2, or 1 1/2
Hope this helped! Leave a comment if it did. :)
if you are playing bingo night, there is a $10 cover charge plus $2 per bingo card. what is an equation for the cost (y) based on the number of bingo cards (x).
Answer:
10 + 2x = y
Step-by-step explanation:10 + 2x = y
This is because 10 is the main cost then plus 2 per bingo card
When two numbers are next to each other it means multiplication
Does anyone know how to solve this? Please help
Answer:
6
Step-by-step explanation:
y=x-2
4=x-2
x=6
Can you please right out all the steps I need to do!!!! I WILL GIVE BRAINLIST I NEED HELP ASAP(ALSO GIVING 35 POINTS)
(don't just press answer for the points and not give an answer please I really need help and I wouldn't do that to any of yall)
Answer:
ADE = 63°
Step-by-step explanation:
One thing at a time. We can start telling that triangle ADE is isosceles, of baseAD. Means the two angles EAD e ADE are congruent, and each measures [tex]\frac {180-54}2 = 63°[/tex].
Now look at angles EDA and ECB. They are corresponding angles relative to the parallels DA and CB, so they are congruent. Measure of angle C is the same of measure of angle ADE = 63°
Edit: I've been asked for the rest of the measures. Purple ones are the one you find during the exercize. Red ones are the remaining. External ADC is supplementary to ADC (it's an external angle) angle BAD is alternate to ADE respect to the two parallels AB and CE, so they are congruent. Angle ABC is supplementary to angle BCD since they're internal conjugate relative to the same two parallels.
) Determine the quadratic function represented by the given graph below. Show your solution on the space provided at the left.
write an equation in slope-intercept form of the line shown (1,-9) , (-3,-9)
Answer:
y = -9
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-9) / -3 - 1
0 / -4
y = 0 + b
-9 = b
Answer:
[tex]\boxed{\sf{y=-9}}[/tex]Step-by-step explanation:
The slope-intercept form is the only way to solve this problem.
Slope-intercept form:
[tex]\rightarrow \sf{y=mx+b}[/tex]
The m represents the slope.The b represents the y-intercept.Using the slope is another way to solve.
(1,-9) and (-3,-9)Use a slope formula.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
y2= (-9)
y1= (-9)
x2= (-3)
x1= (1)
Rewrite the problem.
[tex]\sf{\dfrac{(-9)-(-9)}{(-3)-1}=\dfrac{0}{-4}=\boxed{\sf{0} }[/tex]
Therefore, the slope is 0.We're not done yet.
y-intercept= (-9).
The m represents is 0.
The b represents is (-9).
So, the correct answer is y=-9.I hope this helps you! Let me know if my answer is wrong or not.
Use the given root to find the remaining root of the function. Root: x = - 3 Function: f(x) = x ^ 2 + x - 6
Answer:
x = 2
Step-by-step explanation:
Since we know one root is -3, we know one factor of the equation is (x+3)
From there we can use the factor we know to factor the rest of the equation:
x^2 + x - 6 = (x+3) * ?
Since know -6 is just 3 * -2 and since 3-2 is 1,
(x+3)(x-2) = x^2 + x - 6
From there,
x - 2 = 0
x = 2
Please please help me! Thank youu
(2x - 20) = 20
(4x - 10) = 70
Graph the line with the equation y = 4/5x + 2
Answer: I have provided a screenshot of what your graph should look like so uh yeah you got this!
The graph of the line with the equation y = 4/5x + 2 is given in below attachment.
To graph the line with the equation y = (4/5)x + 2, we can use the slope-intercept form, which is y = mx + b.
where "m" represents the slope and "b" represents the y-intercept.
In this case, the slope (m) is 4/5, and the y-intercept (b) is 2.
To plot the line, we can start by plotting the y-intercept, which is the point (0, 2).
From there, we can use the slope to find additional points and connect them to form the line.
Let's plot a few more points:
When x = 5:
y = (4/5)(5) + 2
= 4 + 2 = 6
So we have the point (5, 6).
When x = -5:
y = (4/5)(-5) + 2
= -4 + 2
= -2
So we have the point (-5, -2).
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The circumference of a circle is 94.2 kilometers. What is the circle's radius?
C = 94.2 km
Use 3.14 for u.
kilometers
Answer:
[tex]^{}[/tex] in a file
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
The mass of a stapler is 65 more grams than an apple. Let x be the mass of the apple. The mass of both objects together is 180 grams. Write an equation to match the statement.
–7x − 9y = –19
–3x + 2y = –14
Answer:
the answer is
7x+9y_19=0
the sceond one is
3x_2y_14=0
y = 8x + 10
y = 2
whats the substitution ?
Answer:
Look at the explanation.
I'll be online so let me know if you still need help.
Step-by-step explanation.
A system of equations is basically two or more equations that rely on each other. If a solution for a variable is 2, it has to work for the other equation.
The substitution is basically plugging in the y value to y = 8x + 10
If y = 2
and also y = 8x + 10
What do you think the substitution is?
Solve for x
1/6(2 + x) = -5/6
Answer:
x=-7
Step-by-step explanation:
Answer:
x = -7
Step-by-step explanation:
1/6(2 + x) = -5/6
~Simplify left side
1/3 + 1/6x = -5/6
~Subtract 1/3 to both side
1/6x = -7/6
~Multiply 6 to both sides
x = -7
Best of Luck!
4x - 2= 3x + 4
Can someone help me with this question
Answer:
x=6
Step-by-step explanation:
you move the numbers with x to the left and numbers without x to the left.
(if you move -2 to the other side dont forgot to change the sign to + cuz - and - gives you +)
what are TWO equivalent fractions for 2/3 ?
Answer:
2/3, 4/6, 6/9
Step-by-step explanation:
Just multiply the denominator and the numerator by any number and it will be equivalent.
Hoped this helped.
Answer:
4/6 and 6/9 are two equivalent fractions for 2/3
Evaluate x² + 3 when x = 6
Answer:
39
Step-by-step explanation:
6x6=36+3=39
Lakshmi planted 20 begonias, but her neighbor’s dog ate 7 of them. What percent of the begonias did the dog eat
Answer:
100 / 20 = 5
5 * 7 = 35
So the dog ate 35% of it
Step-by-step explanation:
yea so your welcome. im 7 btw
Answer:
35
Step-by-step explanation:
7/20 multiply by 100 = 35
Solve the system by substitution.
-9y - 10 = x
5x+ 6y = -11
Step-by-step explanation:
-9y - 10 = x
x = -9y - 10
5x + 6y = -11
5(-9y - 10) + 6y = -11
-45y - 50 + 6y = -11
(-45 + 6)y = -11 + 50
-39y = 39
y = 39/-39
y = -1
x = -9y - 10
x = -9(-1) - 10
x = 9 - 10
x = -1
4y+6x+5x-2y?
Help?
Ahhhhhhhhhhhh its due in 19 m
Answer:
2y + 11x
Step-by-step explanation:
4y + 6x + 5x - 2y
=> 2y + 11x
Hoped this helped.
What is the slope?
Graphing
Answer:
i chose two points on the line and i got 5/1 (by using the rise over run method) which is simplified to 5 so the slope is going to be m= 5
Step-by-step explanation:
Line QS is a perpendicular bisector to triangle PQR as pictured below.
What is the length of the value of x?
I need an answer ASAP
Answer:
3
Step-by-step explanation:
Side QP is equal to side QR so 4x-2=10, then just solve for x and you get 3
Answer:
x=3
Step-by-step explanation:
the trangal is isosoles so both sides need to equal 10 so the equation would be 4x-2=10.
frist you would add both sides by 2
4x-2=10
+2 +2
4x=12
then you would divide both sides by 4
4x/4=12/4
so your anser should be x=3
is 5/7 equivalent to 1/2?
Answer:
.
Step-by-step explanation:
no 5/7 does not equal 1/2
Rosa can run 4 miles in 56 minutes. How many kilometers does Rosa run if she runs for 42 minutes?
Answer:
First, let’s use what we know to determine how many miles Rosa can run in a minute.
We do so by dividing 4 by 56 (4/56), which equals .071, after rounding.
So, Rosa runs .071 miles in a minute. Now we multiply this by 42 to get our final answer.
42 x .071 = 2.98. Using rounding, we know that Rosa can run 3 miles in 42 minutes.
Step-by-step explanation:
Got this from the internet.
7. Write an equation for the line in slope-
intercept form.
Answer:y=-1/2x-3
Step-by-step explanation:
Let f(x)=(x+2)^4, x>0. Find a formula for f^-1(x).
Answer:
Step-by-step explanation: