Which of the following graph of the compound inequality 4p+1>-7 and 6p +3 < 33
Answers
Step-by-step explanation:
The first inequality has solution
4p > -8 . . . . . . subtract 1
p > -2 . . . . . . . divide by 4
This is graphed as an open dot at -2, with shading to the right.
Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:
a number line with open circles at negative 2 and 5 with shading in between
hope that help mark me brinilylist
Related Questions
WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC
Answers
The measurement of ∠ ABC in [tex]\triangle ABC[/tex], When AB =√2, AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].
The measures of angle ∠ ABC can be calculated as:
The Law of Cosines, states that:
[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]
Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.
The sides of ∆ ABC will be :
AB = [tex]\sqrt{2}[/tex] (given)
BC = 2 (given)
[tex]AC = 1 + \sqrt{MC}[/tex]
∆ ABC is a triangle and according to the triangle inequality theorem, the The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So:
BC+AB > AC
[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]
[tex]\sqrt 2 +1 > \overline{MC}[/tex]
The law of cosines for [tex]\angle ABC[/tex] can be calculated as:
[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]
The values can be obtained by the substitution.
[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]
[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
This can be simplified as:
[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
The value of [tex]\overline{MC}[/tex] can be calculated as:
[tex]\sqrt 2+1 > \overline{MC}[/tex]
Substitute the value in the equation,
[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]
[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]
[tex]0 = 10 - 2.cos (\angle ABC)[/tex]
Thus, the value of cos [tex](\angle ABC)[/tex] is calculated as:
[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]
[tex]cos(\angle ABC) = 5[/tex]
Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].
Learn more about angles here:
https://brainly.com/question/14569348
#SPJ12
What forms of the following equation in?
2x+3y=15
Answers
for future reference, standard form is written in the format of: Ax+By=C
5/6 x 9/5...............................................................help asap
Answers
Step-by-step explanation:
5/6 ×9/5
Multiply the denominators and the numerators separately; that is:
5×9 and 6×5
45 and 30
=45/30
=3/2(simplified)
Answer:
1.5
Step-by-step explanation:
Use the original price and the markdown to find the retail price.
Original price: $80; Markdown: 16%
Answers
Answer:
its b
Step-by-step explanation:
Answer:
The answer would be $67.2.
Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2
For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15
Answers
Answer:
the answer is A. it good answer
Help please serious answers only
Answers
Step-by-step explanation:
1 Use the Quadratic Formula.
x=\frac{2+2\sqrt{14}\imath }{30},\frac{2-2\sqrt{14}\imath }{30}
x=
30
2+2
14
,
30
2−2
14
2 Simplify solutions.
x=\frac{1+\sqrt{14}\imath }{15},\frac{1-\sqrt{14}\imath }{15}
x=
15
1+
14
,
15
1−
14
Done
A 2 inch pulley on an an electric motor that runs at 600 rpm is connected by a non slip belt to a 4 inch radius pulley on a saw arbor. The radius of the saw blade is 8 inches.
A) Which of these quantities is the same for both the 2 inch and 4 inch radius pulleys? V, The Translational Speed OR W, The Rotational Speed.
B) Find the value of W in rads/min for the 2 inch radius pulley. Answer in terms of pi.
C) Find the value of W for the 4 inch radius pulley. Answer in terms of pi.
D) Find the Translational Speed, V, of a saw tath in inches/min. Answer in terms of pi.
Answers
B no ........................
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Answers
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
can somebody help me/tell me how to do these?
Answers
Hi! I'll try to help
It gives you two equations, one for "x" and one for "y"
All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.
y=4x
3x-y=1
Since we know that "y" is the same as 4x, you can rewrite the equation as
3x-4x=1
Next, all you have to do is combine like terms as solve "3x-4x" which is -x
Let's rewrite the equation, then:
-x=1
You can simplify it to
x=-1
by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive
Using pennies, nickels, and dimes, how many
ways can you make 16 cents?
Answers
Answer:
16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.
Step-by-step explanation:
Answer:
1 dime, 1 nickel, 1 penny
Step-by-step explanation:
1 dime= 10 cents
1 nickel= 5 cents
1 penny= 1 cent
The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?
Answers
Explanation:
Let x = the first number
Let y = the second number
From what they give us, we know:
x - y = 56
5y = x + 4
Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.
5y = x + 4
5y - 4 = x or x = 5y - 4
x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15
To find the other variable (number), substitute that value in either equation.
x - y = 56
x - 15 = 56
x = 71
To check the solutions, substitute both variables into each equation to make sure they work.
x - y = 56
71 - 15 = 56
56 = 56
5y = x + 4
5*15 = 71 + 4
75 = 75
1) Find the area of the shaded region
if the big diameter is 12 in, and the
small diameter is 8 in.
Answers
Answer:
the answer in 12 x 8÷2 =48
what is the number of terms for 1000z + 800y
Answers
Answer:
2 terms
Step-by-step explanation:
hope this helps! :D
have a MIRACULOUS day!! <3
About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3
0.4
0.9
1.2
*the ones in parentheses are exponents
Answers
0.4
Explanation:
when you simplify both terms you get 120,000 and 300,000. then you divide the first number by the second number, which gives you 0.4
hope this helps!
how does 9 + 9 = 6 ?
Answers
Answer:
it does not, it equals 18
Step-by-step explanation:
9+9=18 - true
9+9=6 - false
factorise this (x-6)(x+2)
Answers
Answer:
Its already in factored form.
Step-by-step explanation:
Answer:
x^2 - 4x - 12
Step-by-step explanation:
Using FOIL (first, outside, inside, last), multiply each term in the order:
you should get ---> x^2 + 2x - 6x - 12
now, add like terms
you should get ---> x^2 - 4x - 12
Find the value of x for the following triangle. Give your answer to a whole number. (No decimal)
Answers
Answer:
12
Step-by-step explanation:
What is the value of t?
t − 122 = 2t − 3
A. t = -2
B. t = -6
C. t = 6
D. t = 2
Answers
Answer:
-39 2/3
Step-by-step explanation:
t - 122= 2t - 3
subtract 't' from each side to get:
-122 = 3t - 3
add 3 to each side to get:
-119 = 3t
divide each side by 3 to get:
t = -39 2/3
f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k
Answers
Answer:
k=-6-6=-12
Im pretty sure that's the answer
if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?
Answers
Answer:
Step-by-step explanation:
How to Estimate Aquarium Water Volume
You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.
You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.
Tank Volume Formulas
See the volume formulas for various aquarium fish tank styles below.
Rectangular Tank Formula
tank volume = l × w × h
l = tank length
w = tank width
h = tank height
1) Derrick is sharing pizza with his 3 friends. They have 6/8 of a pizza. If they split the pizza evenly, how much pizza does each person get? Show your work with both a model and an equation.
Answers
Answer:
3/16
Step-by-step explanation:
So Derrick is sharing pizza with 3 friend, so in total, there are 4 people.
There is 6/8 pizza in current total pizza.
[tex]\frac{\frac{6}{8}}{4} =6/32=3/16[/tex]
Answer:
2/8
Step-by-step explanation:
each person would get 2/8
Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answers
Answer:
R3. alternate interior angles
( alternate interior angles are always congruent )
S4. AC = CA
R5. ASA triangle congruence property
( you have 2 angles and the included side, so you know they're congruent )
lmk if you want an actual explanation
The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work
Answers
Answer:
length = 18 ft
Step-by-step explanation:
A(rect) = 9l
A(trap) = 1/2(9)(24+12) → 4.5(36) → 162
9l = 162
l = 162/9
l = 18
=====================================================
How to get the answer:
We first need to compute the area of the trapezoid
area of trapezoid = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 9*(12+24)/2
A = 9*(36/2)
A = 9*18
A = 162
The trapezoid has an area of 162 square feet.
---------
The rectangle also has an area of 162 sq ft.
area of rectangle = length*width
A = L*W
A/W = L
L = A/W
L = 162/9
L = 18
The length of the rectangle is 18 feet.
---------
Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.
Is there a proportional relationship between category 1 and Category 2 in the table below
Answers
Answer: Please upload the image or PDF.
Which is the graph of y = [x]-2?
Answers
Answer:
Step-by-step explanation:
number 1
I need help. what is the slope?
(The bottom one says : (-1, -6)
Answers
Ok done. Thank to me :>
any one is good at math can help :(
Answers
1. 1/50, or 1 megabyte per 50 seconds
2. -5/2, or -5 dollars per 2 months
Explanation:
To find slope, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)
M represents the slope, (x1, y1) represent the coordinates of a point on the line, and (x2, y2) represent the coordinates of another point on the line. The points you pick don’t matter as long as they’re different.
For the first graph, I’ll pick (150, 3) and (100, 2).
m = (2 - 3)/(100 - 150)
m = -1/-50
m = 1/50
From the x and y axis, I can determine the units: megabytes per seconds. The answer becomes 1 megabyte per 50 seconds.
The second graph will have the same process. Since the line is pointing downward, I already know that the slope will be negative. I can plug the pre-chosen points, (10, 5) and (4, 20), into the slope formula.
m = (20 - 5)/(4 - 10)
m = 15/-6 or -5/2
The answer becomes -5 dollars per 2 months.
I hope this was helpful!
Help me with my math work please! Whoever helps gets 50 points! Thnx!
Answers
Answer:
6) y=-2
7) w=15
8) x=1
A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?
Answers
Answer:
Y=X/3+3
Step-by-step explanation:
M= Y2-Y1/X2-X1
= 5-6/6-9
= -1/-3
= 1/3
sub x=6, y=5, M=1/3 into Y=MX+C
5=6/3+C
5=2+C
5-2= 2+C-2
3=C
4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.
Answers
Answer:
2000 families read the newspaper in the Nepali language.
1800 families read it in the English language.
3800 families read the newspaper in both.
Step-by-step explanation:
#1. individual
convert % to decimal ( x ÷ 100 )
0.5 x 4000 = 2000
0.45 x 4000 = 1800
#2. together
2000 + 1800 = 3800
OR
50 + 45 = 95
95 ÷ 100 = 0.95
0.95 x 4000 = 3800