Answer:
The second option, B.
[tex](x| -3< x \leq 2)[/tex]
Explanation:
Since the point on -3 is hollow, this means that -3 is not included in the equation. Therefore, -3 < x. Since the point on 2 is filled, this means that 2 is a valid number that is included in the equation. Therefore, [tex]x\leq 2[/tex].
Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
We want to find the graph of a system of inequalities. We want to select the correct option, but sadly is really hard to interpret the given text, so I will add a graph of the system at the end.
The system is:
y ≤ -3x + 1y ≤ (1/2)*x+ 3To graph these we first need to graph the two lines:
y =-3x + 1
Is a line with a negative slope that passes through the y-axis at y = 1.
Because here we have y ≤ -3x + 1 we know that y must be equal or smaller than the line, thus we need to shade below the line, and because y can be equal to any value in the line we need to use a solid line.
For the other equation:
y = (1/2)*x+ 3
We have a positive slope and this line intercepts the y-axis at y = 3.
Similar as before, here we have y ≤ (1/2)*x+ 3 so the shaded area will be below the line and the line must be solid.
With this in mind, we can graph the system, and you can see it below:
If you want to learn more, you can read:
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2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
911÷406 con operaciones
Answer:
2.24384236453
Step-by-step explanation:
division/división
Answer:
Step-by-step explanation:
2.24384236453 divicion y divicion
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
can you help me please
Answer:
25/6
Step-by-step explanation:
please help!!!!! i’ve been stuck on this question
Answer:
30
Step-by-step explanation:
The angle for BOF is going to be 180.
So if the angle for COF is 150, then COB is going to be the complement angle.
This means it's 180 - 150 = 30.
I need fast help help help me
Answer:
d
Step-by-step explanation:
Answer:
it is d
Step-by-step explanation:
can you please give me brainliest? thanks!
hope this helps!
The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how
many people there are in total.
Answer:
104
Step-by-step explanation:
The ratio of boys : girls = 3 : 1 = 3x : x ( x is a multiplier )
There are 52 more boys than girls , so
3x = x + 52 ( subtract x from both sides )
2x = 52 ( divide both sides by 2 )
x = 26, then
3x = 3 × 26 = 78 ← number of boys
Total number = 78 + 26 = 104
Hannah invested $540 in an account paying an interest rate of 4.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?
Answer:
1300
Step-by-step explanation:
did it on usatestprep
Solve the formula for t.
d= rt
THIS ISNT HOMEWORK BUT MY FRIEND GOT ME FACEMASKS ON SUNDAY AND IVE USED IT FIVE/SIX TIMES THIS WEEK(ITS NOW WEDNESDAY) AND SHE TOLD ME THATS NOT GOOD- WHAT DO I DO TO PREVENT BAD THINGS
Answer:
eat ice cream it will make the pain go away
Step-by-step explanation:
HELP PLEASE CHECK MY ANSWER!!!
Answer:
its almost correct but its just a little bit off
Step-by-step explanation:
1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.
2. on the left side its going to be right before -2.
3. on the bottom its going to be moved down to -18 and a little bit out going to the right.
the picture is right there hope it helped
Can somebody pls help me out wit dis
Answer:
i can't see it
Step-by-step explanation:
Answer:
a. x is equal to the number of sweat shirts made
b. $1100 is I think the base cost it takes to produce shirts
c. x=30
d. $5845
hope I helped.
Step-by-step explanation:
a. context
b. if x=the number of sweat shirts made then 65×x means that it costs $65 to produce one shirt and in that case to make any shirts it would cost $1100 to get the process set up so that they can make the shirts.
c. if c(x)=3050 then that means that that is the total cost to make all the shirts they made at that time. We know x is the number of shirts and because of that we want to solve for x. to do that we need to isolate x, the first step would be to take 3050 and sub that into the first equation
3050=1100+65x
subtract 1100 from both sides
3050-1100=65x
1950=65x
divide both sides by 65
1950÷65=x
simplify
30=x
d. you take the equation at the top c(x)=1100+65x and sub in 73 for x.
1100+(65×73)
simplify
1100+4745=5845
What do you get when you plug 4 in the following function?
Answer:
567
Step-by-step explanation:
It will become:
y = 7(3)^4
y = 7 * 81
y = 576
Answer:
Y = 567
Step-by-step explanation:
Y=7(3)(3)(3)(3)
Write and simplify an expression for the area of the rectangle. Write the SIMPLIFIED answer in the text box.
Answer:
gff
Step-by-step explanation:
rwsnuggdfvg
which graph represents the following system of inequalities y>1/2x-1 y>-2x-1
Answer:
I think its c on plato
Step-by-step explanation:
whats the property
someone plz help
Answer:
The property is the water cycle
eighteen is equal to the product of a number (n) and 9
eighteen is equal to the product of a number 9 and 9
Evaluate the expression.
–3×(6– -6÷3)
PLEASE HELP
-24 i hope this is right
Answer:
−24
Steps for answer:
1. Simplify 6÷3 to 2.
−3×(6+2)
2. Simplify 6+2 to 8.
−3×8
3. Simplify
−24
A U.S. penny has a mass of 2.5 grams. A U.S. quarter has a mass of 5.67 grams. What is the total mass of the two coins?
15 pints because 2 questions
Answer:
1.its B
2.G
Step-by-step explanation:
When Mohammed was born, the baby was 21 inches tall. at his last check up, he was 38 inches tall. what is the percent increase in his growth to the nearest percent? round it to the nearest 100th
this is math btw and im giving 5 star and 15 points.
Answer:
80.95
Step-by-step explanation:
Percentage increase = [tex]\frac{New Value - Old Value}{Old Value}[/tex] *100
=> (38-21)* 100/21 = 80.9523%
The answer round it to the nearest 100th = 80.95%
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
HELP ME PLZ !!! IT'S ALGEBRA
Answer:
x = - 8/23
y = 40/23
Step-by-step explanation:
-5x- y = 0
and
-8x+3y = 8
The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.
-5x-y = 0
-y = 5x
y = - 5x
Now you can take this y value and plug it into the section equation.
-8x + 3(-5x) = 8
-8x - 15x = 8
-23x = 8
x = - (8/23)
Once you get the x value you can plug it back into equation one to get y's value
-5*-(8/23) - y = 0
40/23 - y = 0
y = 40/23
I need help with this. Please!
The width of a rectangle is the length minus 3 units. The area of the rectangle is 40 units. What is the width, in unit, of the rectangle?
Answer: The width is 5
Step-by-step explanation:
The equation is x*(x-3)=40 solviing for x which is 8 but since width is x-3 then 8-3=5
Find the area of the triangle
19cm
15cm
12cm
Answer:
Step-by-step explanation:
(3z+1)+5+7z) Step by step explanation needed
Answer: 10z + 6
Step-by-step explanation:
this is a short problem.. sometimes you would need to distribute, but since there is no number in front of parenthesis you can just get rid of them
that gives you: 3z + 1 +5 + 7z
now from here we combined liked terms
7z + 3z = 10z
1 + 5 = 6
so that gives you: 10z + 6
1. What do you remember about the slope of a line? 2. A ramp may not be steeper than 1:12. Draw a right triangle whose "rise" is 1 unit, and whose "run" is 12 units. 3. Set up a trig ratio and use it to solve for the maximum angle of elevation of the ramp. Round to the nearest hundred 4. The height of the door on your restaurant is 9.5 inches from the ground. Using the maximum angle of elevation possi what would the length of the ramp be (x)? What would the horizontal distance be (y)
I remember every thing it was so good j set ramp
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
Learn more about compound interest here:
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