A solid line passes through (-1, 0) and (0, 3). The area to the left of the line is shaded gray.
How to get the graph of the inequality?
Here we have the inequality:
3y - 9x ≥ 9
First, we should isolate y on one side of the inequality.
3y ≥ 9x + 9
y ≥ 3x + 3
Then, the graph will be a solid line of the form:
y = 3x + 3
Where the line is solid because the points on the line are solutions, and we need to shade all the region above the line.
Also, notice that for the line:
y = 3x + 3
if x = -1 we have:
y = 3*(-1) + 3 = 0
if x = 0 we have:
y = 3*0 + 3 = 3
Then the line passes through (0, 3) and (-1, 0). So the correct option is the second one.
"Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray."
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laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house. she has two pairs of mittens to choose from, six scarves choose from, and three jackets to choose from. how many different combinations laura wear. I WILL GIVE BRAINLESTTTTRJFCFIIEJFJEFLJ
The number of ways Laura will wear a pair of mittens, a scarf, and a jacket will be 36.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house.
She has two pairs of mittens to choose from, six scarves chosen from, and three jackets to choose from.
Then the number of ways will be
Number of ways = ²C₁ x ⁶C₁ x ³C₁
Number of ways = 2 x 6 x 3
Number of ways = 36
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Show work pleaseeeee
Answer:
[tex]volume \: = 1130.4 {m}^{3} [/tex]
Step-by-step explanation:
The formula to find the volume of a cylinder is:
[tex]v = \pi {r}^{2} h \\ basically \:it \:is\: the\: area \:of \:the \:circular \\ \:base\: \times\: \:height \:of \:the \:cylinder[/tex]
Note that the radius is half the diameter (12), therefore the radius is 6*
According to the diagram we know that:
[tex]\pi = 3.14 \: \: \: r = 6 \: \: \: h = 10 \\ \\v = \pi {r}^{2} h\\ \\ v = (3.14)( {6}^{2} )(10) \\ \\ v = (3.14)(360) \\ \\ v = 1130.4 {m}^{3} [/tex]
are the breadth of your books perpendicular to their lengths
The breadth of your books are perpendicular to the length because they meet at right angles.
How to know perpendicular lines?
The shape of a book is a rectangle. A rectangle has four enclosure. This means they are formed by 4 lines.
The opposite sides are equal in length.
The sides of the book has a pair of breadth and a pair of length.
The breadth and length are straight lines.
When this straight line meets, it forms a right angle(90 degrees). This means the breadth and the length are perpendicular to each other.
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I have four marble, One red,Oneblue,OneGreen,Oneyellos.Without replacing the first marble, you choose a second marble. What is the probalility of choosing red and then green?
Answer:
1/8 or 12.5 percent
Step-by-step explanation:
So You first draw the red marble you have a 25 percent chance of that or 1/4 then you draw a green so just add 4 to the denominator!
Hope this helps!
Pls help will give brainilist
Answer:
Item #1
[tex]-\frac{27}{8}[/tex] fraction form
[tex]- 3.375[/tex] decimal form
[tex]-3\frac{3}{8}[/tex] mixed number
Item #2
$7.98 (rounded to nearest cent)
in the figure below lines p and q are parallel. what do you notice?
Answer:
Corresponding
Step-by-step explanation:
So, we know that 1&2, 3&4, 5&6, and 7&8 all equal 180 degrees in their pairs. 7&3 are corresponding angles that are less than 90 degrees on their own. We don't know the degrees of each angle, so we can't say their exact angle.
(I know I didn't give the second answer, if you elaborate, maybe I can understand what it's asking better)
Hope this helped!
Answer:
-> Corresponding
-> Are equal
Explanation:
First, we will find where angles 3 and 7 are at. See attached. Since they are in corresponding places on both lines, these angles are corresponding angles.
We know that corresponding angles have the same measurement, so their measures will be equal, or in other words, congruent.
PLEASE HELP ME FIGURE OUT THE QUALITY SIGN THAT GOES WITH THESE THREE PROBLEMS
Answer:
"=" and "<"
Step-by-step explanation:
|9| = |-9|
|9| and |-9| indicates the absolute value of 9 so we use equality sign
7.5 = 7.50
7.5 is equal to 7.50 adding zeros to the right side of an expression won't change its quantity
For example:
I say I have 7.5 dollars and my friend says he has 7 dollars and 50 cent
We have same amount of money.
-3.31 is smaller than -3.13 because it's further from point zero in number line so we use < for this expressions.
If a polynomial function f(x) has roots –9 and 7 – i, what must be a factor of f(x)? (x – (7 i)) (x – (–7 – i)) (x (7 i)) (x (7 – i))
if the roots of the polynomial function are -9 and 7 - i, then the other factor of the polynomial function is x - (7 + i)
How to determine the other factor?The roots of the polynomial function are given as:
-9 and 7 - i
The root is 7 - i is a complex number.
This means that its conjugate must also be a root of the factor.
The conjugate of 7 - i is 7 + i
So, we have:
x = 7 + i
Equate to 0
x - (7 + i) = 0
Hence, the other factor of the function is x - (7 + i)
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Answer:
A on edge 23
Step-by-step explanation:
trust me bro
(pls give the answer and working out)
simplify fully:
Answer:
As you wish love, 2sqrt x 3sqrt8 = 12sqrt6
Step-by-step explanation:
2sqrt3x3sqrt8
Simplify,
2sqrt3 x 3 x 2sqrt2
Evalutate,
12sqrt6
Yaritza practices the piano 875 minutes in 5 weeks. At what rate did she practice, in minutes per day?
The number of minutes that she practiced in a day will be 175 minutes per day.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Yaritza practices the piano for 875 minutes in 5 weeks.
The number of minutes that she practiced in a day will be given as,
Rate = 875 / 5
Rate = 175 minutes per day
The number of minutes that she practiced in a day will be 175 minutes per day.
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In a unit circle, 0 = 270°. Identify the terminal point and sin 0.
Answer:
terminal point is at (0, -1) and sin 0 = -1
Step-by-step explanation:
In a unit circle the radius of the circle is 1 so
- we know the points where the circle intersects the x-axis and y-axis as a (x , y) coordinates.
(1, 0) where we start on the positive x-axis and where angle is 0°
(0, 1) where we go counterclockwise and where angle is 90°
(-1, 0) where we go continue counterclockwise and where angle is 180°
(0, -1) where we stop in our problem because the angle is 270°
-we also know that x= cos O and y= sin O so the coordinates (x, y) are really
(cos O, sinO)
Given:
0 = 270°
sin 0 = sin 270°
sin 270° = -1
The terminal point is at (0, -1) and sin 0 = -1
HELP NOW PLESAE
WHat is m
An inscribed angle (like angle RTS) is half its intercepted arc.
Angle RTS = 51
Then, we just have a triangle to look at. Remember that the interior angles of a triangle add up to 180.
67 + 51 + x = 180
118 + x = 180
x = 62
Answer: angle RST = 62 degrees
Hope this helps!
4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the
standings The first-place finisher wins half of $1.500.000 in total prize money. The second-place finisher wins half of
what is left then the third-place finisher wins half of that, and so on.
al Write a rulle to calculate the actual prize money in dollars won by the player finishing in nth place, for any positive
b) What type of relationship exists between the two variables?
Using geometric sequence concepts, it is found that:
a) The rule is: [tex]P_n = 750000(0.5)^{n-1}[/tex].
b) An exponential relationship exists between the two variables.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
[tex]a_1 = 750000, q = 0.5[/tex].
Hence the nth term of the sequence is given by:
[tex]P_n = 750000(0.5)^{n-1}[/tex]
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The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
At least how many schools have participated for more than 1 year and less than 6 years?
4 schools
8 schools
10 schools
20 schools
Answer:
about 4 or 8
Step-by-step explanation:
Answer: 4 schools
Step-by-step explanation:
What is the intensity of a 70-db sound? the threshold of human hearing is 1.0 × 10 -12 w/m 2.
According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.
How to determine the intensity of a 70-dB sound
The sound intensity (L), in decibels, is the intensity of a sound relative to a reference value, whose formula is described below:
L = 10 · ㏒ (I/I')
Where:
I - Intensity, in watts per cubic meter.I' - Sound intensity reference, in watts per cubic meter.If we know that L = 70 dB and I' = 1 × 10⁻¹² W/m², then the sound intensity is:
70 = 10 · ㏒ (I/10⁻¹²)
10⁷ = l/10⁻¹²
I = 10⁻⁵ W/m²
According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.
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PLS HELP ILL MARK U BRAINLIST
Answer:
∠ FLW = 112°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FLW is an exterior angle of the triangle , then
∠ FLW = x + 32 , that is
2x - 48 = x + 32 ( subtract x from both sides )
x - 48 = 32 ( add 32 to both sides )
x = 80
Then
∠ FLW = 2x - 48 = 2(80) - 48 = 160 - 48 = 112°
Can someone help me I dont know what to do
Step-by-step explanation:
1. find P of semicircle
perimeter of a semicircle = pi×r+d
=3.14×5+10
=25.7
2.find P of rectangle
P=10×4=40cm
3. add P of semicircle and P of rectangle
25.7+40=65.7cm
In triangle abc, measure of angle a = 90 degrees and line an is an altitude. if ab = 20 in. and ac = 15 in., find bc, bn, nc, an
Answer:
BC = 25 in
AN = 12 in
BN = 16 in
NC = 9 in
Formulas:
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Area of triangle
[tex]A = \frac{1}{2}bh[/tex]
A ... area of triangle
b ... base (one of the sides of the triangle)
h ... height perpendicular to base
Step-by-step explanation:
Given:
A = 90°
AB = 20 in
AC = 15 in
See attached picture.
1) BC
To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.
[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]
2) AN
AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.
Notice how AB is perpendicular to AC. We can use AB as base and AC as height.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]
Now that we have area, we can use BC as base and AN as height and solve for AN.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]
3) BN
Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.
[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]
4) NC
We know the lengths of BC an BN, so we can just subtract.
[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]
14. A store was selling packs of paper for $1.82 a pack. Rosa spent $12.74 on the
packs of paper.
a. Write an equation to find the number of packs of paper, p. Rosa bought.
Answer:
she bought 7 packs of paper
Step-by-step explanation:
12.74/p = 7
An invoice shows a net purchase price of $1809.13 after the subtraction of discounts of 12.5%, 25%, 8.3%. What was the list price?
Answer:
I hope this helps................
20. Which formula would you use to calculate the floor space of Firm 3's structure? Explain your choice. (Refer to the Formula table on page 3.) (2 points: 1 point for the formula, 1 point for the explanation)
The formula would you use to calculate the floor space of Firm 3's structure is πr²h.
How to depict the formula?It should be noted that the formula that can be used on this scenario will be:
= πr²h
where,
h = 60
r = 70/2 = 35
The volume will be:
= πr²h
= 3.14 × 35² × 60
= 230790 feet ³
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Which of the following functions would best model the progression of the points in the scatter plot?
A: a quadratic function
B: a linear function
C: a square root function
D: an exponential function
The function that would best model the progression of points in the given scatter plot is: D. an exponential function.
What is an Exponential Function?If a function is an exponential function, as the x-value increases, the value of y approaches infinity, or as x-value decreases, the value of y approaches 0.
The graph given is a typical example of how an exponential function graph behaves.
Therefore, the best model for the progression of points is: D. an exponential function.
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GIVING BRAINLIEST!!!!!
flip over the line, then slide up
WILL MARK BRAINLIEST PLEASE HELL .
An online clothing store has 4 sweaters for every 5 T-shirts. Which table below represents this relationship?
Answer:
B
Step-by-step explanation:
Do the math
5x1 is 5
4x1 is 4
35÷7 is 5
28÷7 is 4
Hope this helps
Answer:
The second table.
Step-by-step explanation:
4 sweaters for every 5 T-shirts is a ratio of 4/5, which is equal to 0.8. That means that every ratio in the table should also be equal to 0.8 since they are all different versions of 4/5. In the second table, 4/5 = 0.8, 8/10 = 0.8, 28/35 = 0.8, and 32/40 = 0.8, so it is the second table.
How much did susan earn per hour?
answer : 9.5 because you subtract and then divide by 2
Can you please help answer will make you brainliest
Answer:
C
Step-by-step explanation:
given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] bc sinA
the 2 sides are b = 4, c = 6 and ∠ A = 35° , then
A = [tex]\frac{1}{2}[/tex] × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )
Given the following: f(x) = 3x - 7; g(x) = 13- 2x; and h(x) = 6x
h(g(g(x))) equals 13æ - 9.
True
False
We will see that:
h(g(g(x)) = -78 + 24x
Which means that the statement is false.
Is the statement true?
Here we have that:
g(x) = 13 - 2x
h(x) = 6x
Now we want to find the composition of functions:
h(g(g(x))
First, let's find g(g(x)) = 13 - 2*g(x) = 13 - 2*(13 - 2x) = 13 - 26 + 4x
g(g(x)) = -13 + 4x
Now let's evaluate h(x) in that:
h(g(g(x)) = 6*g(g(x)) = 6*(-13 + 4x) = -78 + 24x
This is not equal to what we have in the question, so we conclude that the statement is false.
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What number goes in the blank?
10, 25, 5, or 0
Answer:
25
Step-by-step explanation:
(x+5)(x+5) = x^2 + 10x + 25
Answer:
25
Step-by-step explanation:
The number that goes in the blank is 25.
The constant must have two factors that multiply to equal the constant and add to equal the coefficient.
Classify as acute, obtuse, or right.
6, 9, 12
Answer:
If the angles are 9 degrees 6 degrees and 12 degrees it is acute
Step-by-step explanation:
Mrs. Gottschalk had 60 feet of ribbon. If each of the 20 students in her class gets an equal length of ribbon, how long will each piece be in inches?