The graph of the system of inequalities can be seen at the end of the answer.
How to graph the system of inequalities?
Here we have two inequalities:
x < 2
y ≥ - 3
To graph the first one, we need to shade all the region at the left of the line x = 2, such that the line must be dashed, because the points on the line are not solutions.
For the second inequality, we need to shade all the regions above the line y = -3, this time the line must be solid, because the points on the line are solutions.
Then the graph of the inequalities is the one you can see below. The intersection of the shaded regions is the solution of the system of inequalities.
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the function f(x)= -x3 - 7x2 - 7x + 15 has zeros located at -5, -3, 1. verify the zeros of f(x) and explain how you verified them. describe the end behavior of the
function
The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The function f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1, hence:
f(-5) = -(-5)³ - 7(-5)² - 7(-5) + 15 = 0
f(-3) = -(-3)³ - 7(-3)² - 7(-3) + 15 = 0
f(1) = -(1)³ - 7(1)² - 7(1) + 15 = 0
The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0
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Please help me with this problem
Answer:
Answer is 41 ft
Step-by-step explanation:
From the right angled triangle above, two sides are known. That is the adjacent and opposite. The hypotenuse is not known so we represent it with a variable say h
Using Pythagora's theorem we have,
[tex] {h}^{2} = {12}^{2} + {12}^{2} \\ {h}^{2} = 144 + 144 \\ {h}^{2} = 288 \\ h = \sqrt{288} \\ h = 12 \sqrt{2} [/tex]
Having found the value of the third side, the perimeter of the triangle can now be determined by summing up the length of all the sides.
[tex]perimeter = adjacent + opposite + hypotenuse \\ p = 12 + 12 + 12 \sqrt{2} \\ p = 24 + 12 \sqrt{2} \\ p = 40.97 \\ to \: the \: nearest \: whole \: number \\ p = 41 \: ft[/tex]
Therefore the perimeter of the triangle is 41 ft.
Help me on this question
Answer:
F.2:30 a.m.
8 revolutions= 8×90=720mn= 12h
So the sign starts from 2.30p.m.
Then the sign after 8 revolutions is 2.30 a.m.
Please give Brainliest
A customer purchased 1/2 pound of ham,1 pound of turkey,1/4 pound of roast beef,and 2 1/2 pounds of salami. Approximately how much did the customer pay for all the meat?
THE CHART
Ham-$5.99
Turkey-$4.99
Roast beef-$6.99
Salami-$2.99
bologna-$3.99
Answer:
Step-by-step explanation:
since this answer wants an approximation, we can round the cost up
Ham- 6 1/2 of 6 = 3
Turkey- 5 1 pound of turkey= 5
Roast Beef- 7 1/4 of 7= 1.75
Salami- 3 2 x 3= 6 1/2 of 3= 1.5 = 7.5
bologna- 4 No bologna was purchased.
3+5+1.75+ 7.5= 17.25 which is approximately 17.
You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?
Answer:
4 weeks
Step-by-step explanation:
Remaining money (per week) :
Net income - Expenses$400 - $380$20No. of weeks to buy shoes :
Cost of shoes / Remaining money (per week)$70/$203.5 ≈ 4 weeks (nearest whole week)Answer:
hope it will help you
Step-by-step explanation:
hope it will help you
Samuel helps his brother paint wails during his summer vacation. He charges $10 for the first room and $5 for each additional room (x) he paints. Which equation could Samuel use the find out many additional rooms he would have to paint to make $50 at one house?
Q. What is the equation of this line?
A: x=5
B: y=5x
C: x=-5
D: y=5
Answer:
A) x=5
The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5
Step-by-step explanation:
16 > i - 4
Please help me solve this!! ( one-step inequalities )
Work Shown:
16 > i - 4
16+4 > i-4+4
20 > i
i < 20
In the second step, I added 4 to both sides to undo the -4
In the last step, I swapped both sides and I flipped the inequality sign.
If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.
Answer:
16>i-4
20>i
Step-by-step explanation:
All you have to do is reverse operation and add 4 to each side
On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (negative 1, 0), and goes through (1, negative 4).
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.
The vertex is the
.
The function is positive
.
The function is decreasing
.
The domain of the function is
.
The range of the function is
.
The key aspects of the function are
The vertex is the (-1, 0)The function is decreasing from x = -1 to infinityThe domain of the function is all sets of real numberThe range of the function is the set of all real numbers less than or equal to 0How to determine the key features?The function is given as:
f(x) = -(x + 1)^2
From the question, we have:
Vertex = (-1, 0)
Because the function has a negative leading term i.e. the negative sign at the beginning of -(x + 1)^2.
It means that the function is always negative.
Also, the domain of the function is all sets of real number, because it is an exponential function.
The y value of the vertex is 0 and the function is always negative. So, the range is all set of all real numbers less than or equal to 0
The x value of the vertex is -1 and the function is always negative. So, the function is decreasing from x = -1 to infinity
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Answer:
The vertex is the maximum value
The function is positive for no values of x
The function is decreasing when x > –1
The domain of the function is all real numbers
The range of the function is all numbers less than or equal to 0
Hope this helped!
Mark brainlist to whoever answers first
Answer:
The reflection over the y-axis means that we just multiply the x-value of the coordinates by -1. So we take (4, 0) and get the x-value of 4 and multiply it by -1 which gives us (-4, 0) which is option C.
If 2 newspapers cost $3.00,
how much does one
newspaper cost?
Answer:
$1.50
Step-by-step explanation:
you only need to do $3.00/2 = $1.50
Answer:
$1.50
Step-by-step explanation:
3 divided by 2 = 1.5
Which choice could represent the surface area of a pyramid? 75.6 feet superscript 4 75.6 feet cubed 75.6 feet squared 75.6 feet
The choice that could represent the surface area of a pyramid is 75.6 feet squared
Surface area of a pyramid.The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.
For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:
TSA = area of 4 triangles + area of the base
Hence the choice that could represent the surface area of a pyramid is 75.6 feet squared
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Answer:
C/3
Step-by-step explanation:
BRAINLIEST For the fastest answer
Hello I need help on this math question
Answer:
B
Step-by-step explanation:
B: $303.75
I hope this helps you and I hope you do well.
Write 6.14 x 10^-5 in Standard Form
Please help :)
Answer:
0.0000614
Step-by-step explanation:
Since it’s a -5 it’s 5 places back
Hope this helps! ;-)
Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity?
Item
Amount
Soup
$3.75
Shrimp scampi
$15.00
Iced tea
$2.60
Dessert
$4.25
$26.22
$30.72
$32.00
$35.82
Answer:
It's 30.72
Step-by-step explanation:
Take your total and times it by the percentage (20 in this case) and then divide by 100.
total: 25.60$
tip: 20% of total
25.60 * 20 = 512
512/100 = 5.12
25.60 + 5.12 = 30.72
What is the value of the expression below written in scientific notation? and explain
Answer:
10 x 10^7
Step-by-step explanation:
When multiplying two expressions of scientific notation together, you multiply the values together, and then add the exponents. In this case, it would be:
2.5 x 4 = 10
4 + 3 = 7
10 x 10^7
Julia earned $2,000 during the month of September.
Use the paycheck statement to find the missing percent rates of the taxes Julia payed.
Based on the amounts Julia paid and the percentage rates, the missing amounts are:
$124 for social security. $29 for Medicare. 13% for federal income tax. 6% for state income tax. How much tax did Julia pay?Julia's social security taxes were:
= 6.2% x 2,000
= $124.
Medicare amount:
= 1.45% x 2,000
= $29
Federal income tax:
= 260 / 2,000 x 100%
= 13%
State income tax:
= 120 / 2,000 x 100%
= 6%
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PLEASE HELP ASAP TYSM
Answer:
306=192-361xj.
Hope this helps!
Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn. What is the probability of first drawing an Ace, then a Two?
Answer:
4/663.
Step-by-step explanation:
There are 4 aces and 4 2's in a pack of cards.
Prob(First drawing an Ace) = 4/52 = 1/13.
After drawing this card there are now 51 cards left, so:
Prob(Next drawing a 2) = 4/51.
Required probability
= 1/13 * 4/51
= 4/663
Answer:
First, we need to keep in mind that there are 52 cards in a deck.
Second, we need the probability of getting an ace.
[tex]\frac{4}{52\\}[/tex] = [tex]\frac{1}{13}[/tex]
Now that that card is taken out of the deck, we need to subtract that card from the total amount of cards. Now there will be 51 cards.
Next, we need to find the probability of getting a 2. Like the Ace, there 4 of them.
So,
[tex]\frac{4}{51}[/tex]
Now, we multiply both of the probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]
Since we cannot Reduce, There is your answer!
[tex]\frac{4}{663}[/tex]
∫Maybe·Kuro∫
Can someone explain scientific notation to me? And also another question. Is 9.725 x 10^6 a scientific notation? What about 9.7250 x 10^6
Both of those values are in scientific notation
Scientific notation is when we have numbers of the form [tex]a \times 10^b[/tex] where [tex]0 \le a < 10[/tex] and b is an integer.
Both 9.725 and 9.7250 are inside the inequality mentioned above.
Scientific notation is used to help describe very large numbers, or very small numbers, depending on context.
---------------
If you wanted to convert from scientific notation to standard notation, then you'll move the decimal point based on what the exponent is. The positive 6 means we move the decimal point 6 places to the right.
We go from 9.725 to 9,725,000 which is about 9.7 million
In other words, [tex]9.725 \times 10^6 = 9,725,000[/tex]
As another example, [tex]1.23 \times 10^{11} = 123,000,000,000 = \text{123 billion}[/tex] since we start at 1.23 and move the decimal point 11 spots to the right to arrive at 123,000,000 aka 123 billion.
Evaluate
6x+4y-z. X:4,y:-2,z:3
Step-by-step explanation:
x = 4
y = -2
z = 3
= 6x + 4y - z
= 6.4 + 4.-2 - 3
= 24 - 8 - 3
= 13
write a quadratic equation whose roots are -3 and 1/2
Answer:
See below
Step-by-step explanation:
Use the roots given to make this :
(x+3) (x-1/2) = 0
you can do the multiplication (if required) to get
x^2 + 2.5x - 1.5 = 0 now you can multiply by 2 to get rid of the decimals
2x^2 + 5x - 3 = 0
All three are correct......pick the format you want ....
Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after 2 years
Answer:
12362.70
Step-by-step explanation:
Becuae you have to use the principal and all that sorry i can not rpovide and explaination sorry brainly patrol pls dont delete this
Calculate the volume of the cone with the hemisphere scooped out of the base. Note: 20 cm is the slant height
Answer:
3418.02 cm²
Step-by-step explanation:
Volume :
Volume (cone) - Volume (hemisphere)
1/3πr²h - 2/3πr³
1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³
64π/3 (√336 - 2 x 2/3)
64π (18.33 - 1.33)
64π × 17
201.06 x 17
3418.02 cm²
ASAP Pls! 6. Which of the following statements about the picture are true? Select two.
(^Image Attached Below^)
Choices:
[] Point A is on the bisector of ∠TXR.
[] Point A is on the perpendicular bisector of Line XT.
[] Point A is on the perpendicular bisector of Line XR.
[] Point A is not on a bisector.
[] Point A is equidistant from points T and R.
I am choosing A and E for my choices, but could someone confirm? Tysm! Need this asap!
Answer:
Yes, your choices are correct ...First and last points are true:)
x^2+9=0? I need to find the solutions
Answer:
[tex]x=\pm 3i[/tex]
Step-by-step explanation:
[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]
Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).
7829y[tex]\frac{-69}{56x}[/tex] Find the exact value!
[tex]\\ \rm\Rrightarrow 7829y\times \dfrac{-69}{56x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{7829(69)y}{56x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{540201y}{56x}[/tex]
[tex]\\ \rm\Rrightarrow 9646.4y/x[/tex]
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The correct order for saving should be____
A. emergency fund, retirement, pay off credit debt
B. retirement, emergency fund, pay off credit debt
C. pay off credit debt, emergency fund, retirement
D. pay off credit debt, retirement, emergency fund
Answer:
Step-by-step explanation: C. pay off credit debt, emergency fund, retirement
A random sample of students at North High School were polled on whether they prefer a 15-minute break between classes in the morning or in the afternoon. The results are shown in the frequency table.
A 4-column table with 4 rows. The first column has no label with entries 10th, 11th, 12th, total. The second column is labeled morning with entries 21, 16, 19, 56. The third column is labeled afternoon with entries 17, 25, 20, 62. The fourth column is labeled total with entries 38, 41, 39, 118.
What is the joint relative frequency for 11th graders who want the break in the afternoon? Round to the nearest percent.
21%
25%
40%
61%
Answer:
21
Step-by-step explanation:
Answer: A. 21%
No equation
How can you prove that csc^2 θtan^2 θ-1=tan^2 θ?
[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]
[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]