Answer:
There are only 6 numbers that fit that description. (4,12,24,32,44,52)
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
y > -2x + 10
y > 1/2x - 2
Choices:
E
K
B
D
Answer:
Option C, i.e., point B.
Step-by-step explanation:
The given system of inequalities is
[tex]y>-2x+10[/tex] ...(1)
[tex]y>\dfrac{1}{2}x-2[/tex] ...(2)
If a point is a solution of given system of inequalities, then the both inequalities must be satisfy by the point.
From the given graph it is clear that coordinates of point E are (4,-2).
Put x=4 and y=-2 in (1).
[tex]-2>-2(4)+10\Rightarrow -2>2[/tex] False.
From the given graph it is clear that coordinates of point K are (2,3).
Put x=2 and y=3 in (1).
[tex]3>-2(2)+10\Rightarrow 3>6[/tex] False.
From the given graph it is clear that coordinates of point B are (4,7).
Put x=4 and y=7 in (1).
[tex]7>-2(4)+10\Rightarrow 7>2[/tex] True.
Put x=4 and y=7 in (2).
[tex]7>\dfrac{1}{2}(4)-2\Rightarrow 7>0[/tex] True.
Since both inequalities are true for B(4,7), therefore point B is the solution.
From the given graph it is clear that coordinates of point D are (-7,1).
Put x=-7 and y=1 in (1).
[tex]1>-2(-7)+10\Rightarrow 1>24[/tex] False.
Since the given inequalities are false for points E, K and D, therefore they are not the solution.
What is the name of the shape graphed by the function r = 1 + sine ?
A. Cardioid
B. Circle
C. Limaçon
D. Line
The mad scientist need one third of the eyeball how many eyeball is that
Answer:
.33 as a decimal or 33%
Step-by-step explanation:
Divide 1/3 and get .33 as your decimal. To convert to a percentage multiply your decimal by 100. (.33 x 100 = 33 )
Answer:
69
Step-by-step explanation:
Which of the following systems has equations that are dependent?
1. 2x + 2y = 6
4x + 4y = 4
2. 2x + 2y = 6
2x - 2y = 6
3. y = -x+3
y = -x-3
4. 2x+2y = 6
y = -x + 3
Find the equivalent expression for 7-3(2x+5)
-6x-8
4(2x+5)
7-6x+5
7-3(7x)
Answer:
-6x -8
Step-by-step explanation:
7-3(2x+5)
Distribute
7 - 6x -15
Combine like terms
-6x +7-15
-6x -8
Answer:
[tex]\boxed{\sf \ \ \ -6x - 8 \ \ \ }[/tex]
Step-by-step explanation:
Hello
7 - 3(2x+5) = 7 -3*2x -3*5 = 7 - 6x - 15 = -6x - 8
hope this helps
do not hesitate if you have any question
What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)?
y=34x−92
y=34x+72
y=34x−74
y=34x+174
Answer:
y = 3/4x + 17/4
Step-by-step explanation:
Step 1: Find slope m
m = (5 - 2)/(1 + 3)
m = 3/4
y = 3/4x + b
Step 2: Find b
5 = 3/4(1) + b
5 = 3/4 + b
b = 17/4
Step 3: Rewrite equation
y = 3/4x + 17/4
Answer:
y = 3/4x + 17/9
Step-by-step explanation:
Find the slope:
5 - 2/ 1 - (- 3)
3/ 1 + 4
3/4
Find the y-intercept:
2 = 3/4(-3) + b
2 = -9/4 + b
17/4 = b
Put it in an equation:
y = 3/4x + 17/9
#6 I need help with that.
Answer:
Answer is x= 15
Step-by-step explanation:
(3x+18)+(8x-3)=180
11x+15=180
11x=165
x=15
Answer:
x=15 degrees
Step-by-step explanation:
The given triangle is isosceles, so both base angles are both (3x+18).
We also know that angles on a line add up to 180 degrees, so
(3x+18) + (8x-3) = 180 degrees
Simplify
11x + 15 = 180 degrees
11x = 180-15 = 165
Divide by coefficient on left-hand side
x = 165/11 = 15 degrees.
I have some red , blue, and green marbles. I have 5 less blue marbles than 4 times the red marbles. I have 3 more green marbles than 2 times the number of red marbles. All together I have 61 marbles. How many red , blue, and green marbles do I have? PLEASE ANSWER! I"LL GIVE CORRECT ANSWER AS THE BRAINLIEST ANSWER! I NEED HELP
Answer:
You have 9 red marbles, 21 green marbles, and 31 blue marbles.
Step-by-step explanation:
Let r equal the number of red marbles
Let b equal the number of blue marbles
Let g equal the number of green marbles.
"I have 5 less blue marbles than 4 times the red marbles."
4r-5=b
"I have 3 more green marbles than 2 times the number of red marbles."
2r+3=g
" All together I have 61 marbles."
r+b+g=61
Substitute the b and g for 4r-5 and 2r+3
r+(4r-5)+(2r+3)=61
5r-5+2r+3=61
5r+2r-5+3=61
7r-2=61
7r=63
r=9
2r+3=g
2(9)+3=g
21=g
4r-5=b
4(9)-5=b
36-5=b
b=31
You have 9 red marbles, 21 green marbles, and 31 blue marbles.
Let me know if this helps :)
Answer:
There are 9 red, 21 greens and 31 blues
Step-by-step explanation:
Set up equations
Let
R=# red
G=# green
B=# blue
I have 5 less blue marbles than 4 times the red marbles.
B=4R-5 .............(1)
I have 3 more green marbles than 2 times the number of red marbles.
G=2R+3..............(2)
All together I have 61 marbles.
R+G+B=61 ..................(3)
Solution:
substitute (1) & (2) in (3)
R + 2R+3 + 4R-5 = 61
Simplify
7R = 61+2 = 63
R = 63/7 = 9 ..........(4)
Substitute (4) in (1)
B = 4R-5 = 4(9) - 5 = 36-5 = 31
Substitute (4) in (2)
G = 2R+3 = 2(9) + 3 = 18+3 = 21
write the equation of a line that is perpendicular to x=3 and that passes through the point (0 -4) will mark brainliest asap!!!
Answer:
y = -4
Step-by-step explanation:
x = 3 is a vertical line.
The perpendicular line passes through (0, -4) (x, y)
y = -4
The line is perpendicular, so the line should be also horizontal.
Answer:
y = -4
Step-by-step explanation:
The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).
Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.
Simplify. a - {4b - [a - (5b - c) + 3c - (a - b - 9c)]}
Answer:
a - 8b + 13c
Step-by-step explanation:
a - (4b -( a - 5b + c + 3c -(a - b - 9c)))
a - (4b - (-5b + c + 3c + b + 9c)))
a - (4b - (-4b + 13c)))
a - (4b + 4b - 13c)
a- (8b - 13c)
I need help plz 6.2(a+5)-2a+1.2
Answer:
4.2a+32.2Solution,
[tex]6.2(a + 5) - 2a + 1.2 \\ = 6.2 \times a + 6.2 \times 5 - 2a + 1.2 \\ = 6.2a + 31 - 2a + 1.2 \\ = 6.2a - 2a + 31 + 1.2 \\ = 4.2a + 32.2[/tex]
Hope this helps.
Good luck on your assignment...
What is the y-intercept of the function, represented by the table of values
below?
х y
-2 14
1 8
2 6
4 2
7 -4
Answer:
(0,10)
Step-by-step explanation:
=
Step 1: Start with the equation f(x) x2. Write the equation for the graph of g(x) that has been
reflected, or flipped, over the x-axis. (2 points)
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has
also been shifted down 4 units. (2 points)
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has
also been shifted left 1 unit. (2 points)
Answer:
[tex]g(x)=-(x+1)^2-4[/tex].
Step-by-step explanation:
The parent function is
[tex]f(x)=x^2[/tex]
Step 1: Start with the equation [tex]f(x)=x^2[/tex]. Write the equation for the graph of g(x) that has been
reflected, or flipped, over the x-axis.
[tex]f_1(x)=-f(x)[/tex]
[tex]f_1(x)=-x^2[/tex]
Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has
also been shifted down 4 units.
[tex]f_2(x)=f_1(x)-4[/tex]
[tex]f_2(x)=-x^2-4[/tex]
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has
also been shifted left 1 unit.
[tex]g(x)=f_2(x+1)[/tex]
[tex]g(x)=-(x+1)^2-4[/tex]
Therefore, the required equation is [tex]g(x)=-(x+1)^2-4[/tex].
Question 18 (5 points)
Identify the independent and dependent variables in the following situation: The
temperature of the water decreases as a diver descends to the bottom of a lake.
The independent variable is the temperature of the water, and the dependent
variable is the depth below the surface of the lake.
The independent variable is the depth below the surface of the lake, and the
dependent variable is the temperature of the water.
The independent variable is the speed at which the diver descends, and the
dependent variable is the temperature of the water.
The independent variable is the type of boat, and the dependent variable is the
temperature of the water.
Answer:
The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water
Step-by-step explanation:
Tempeture = depth x
Marlene brought a can of polyurethane varnish that was stored at 40°F into her shop, where the
temperature was 74°F. After 2 hours, the temperature of the varnish was 58°F. If the varnish must be
68°F for best results, then how much longer must Marlene wait until she uses the varnish?
Please show explanation:(
Answer:
1 hour and 6 minutes
Step-by-step explanation:
A temperature difference of 58-40 = 18°F was obtained in 2 hoursA temperature difference of 68-40 = 28°F will be obtained in x hoursThe next proportion must be satisfied:
18 °F / 28 °F = 2 hours / x hours
x = 2*28/18
x = 3.1 hours in total
Given that she has already waited 2 hours, she must wait 3.1 - 2 = 1.1 extra hours. 1 hour is equivalent to 60 minutes, then 0.1 hours is equivalent to 0.1*60 = 6 minutes.
What is the value of f(6) in the function below?
f(x) = 2x
HELP ASAP PLS
Answer:
f(6) = 64
Step-by-step explanation:
f(x) = 2^x
Let x = 6
f(6) = 2^6
= 2*2*2*2*2*2
= 64
Answer:
B. 64
Step-by-step explanation:
[tex]f(x)=2^x[/tex]
Plug x as 6 and solve.
[tex]f(6)=2^{(6)}[/tex]
[tex]f(6)=2^6[/tex]
[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]
[tex]f(6)=64[/tex]
PLease heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp urgently
Answer:
12n4t6 + n6wd - 762 + h20 - y1/4z20 - s3/5c4su + v2. 4t
3. 6 + n
4. 6w
5. d - 7
6. 62 + h
7. 20 - y
8. z/4
9. 20 - s
10. 3/5
11. 4s
12. u + v
Step-by-step explanation:**essentially in all these problems you have to determine the operation that fits each scenario and identify the constant vs. the unknown value. The unknown value is represented by a variable (a, x, y, z, t, d, etc.) and the constant is the given number.**
2. if you buy four packs of pencil with an unknown but same amount in each pack, then you have 4t. 4 TIMES the unknown amount equals the total.
3. you start with 6, your constant and then you ADD the number of pens your friend gave, but you don't know so you replace with the stated variable, n. 6 + n is the answer.
4. Each bag has six apples but you don't know how many bags you bought so if we replace this with the variable w. 6w (the constant always comes before the variable even though w6 = 6w) For example if you bought 2 bags, 6 x 2 = 12, a total of 12 apples.
5. you start with chocolates, but we don't know the number. you eat seven of them, that means from the total number we are "missing" seven. therefore d - 7 accurately describes the scenario.
6. the constant is 62, and we are increasing by something, but we don't know what it is: 62 + h
7. we start with 20 balloons, then we lose an unknown number: 20 - y. We have to SUBTRACT from the total because we "lost".
8. we have an unknown number of fish in an aquarium but we are sure that 1/4 OF that number make up the angelfish population. The word "of" means multiply in mathematical terms so z • 1/4 OR z/4.
9. we have 20 marbles total. out of that number an unknown but represented value are red, "s". the rest are blue. So we will imaginarily take out all the red marbles. This action is SUBTRACTING "s" from 20 and we have only ___ amount of blue marbles left. Therefore the answer is 20 - s.
10. 2/5 OF the class are boys. The remainder are girls. What is 5/5 - 2/5? 3/5. This is the TRICK QUESTION!!
11. A car has 4 wheels each therefore 4 TIMES the total number of cars is the right equation. 4s.
12. If you start with an unknown amount of toys, "u", and you get an unknown amount more, "v", you are adding to your collection therefore the answer is u + v.
Hope these explanations help! There really isn't much more to the concept.
A new brand of gym shoe claims to add up to 2 inches to an athlete vertical leap. Design an experiment to test this claim. State the objective of the experiment
Answer:
I'd think the first one would be correct. To determine whether or not athletes have an increase in vertical leap when wearing the shoes.
I'm not totally sure but this answer just seems the most correct. It would prove if the manufacturers clam is valid. You would have to other brand and models of shoes. You would also have to test the same kind of shoes ie, gym shoe vrs gym shoe instead of gym shoe vrs flip flop.
You would also have to use the different shoe on the same test group of users/athletes to keep a constant.
Hope I help.
Need Help Please I'm Out Of Time ;( The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units ______ the origin and 7 units ______ the origin 1st Blank Choices: A. Above B. To The Left Of C. Below D. To The Right Of 2nd Blank Choices: A. Above B. To The Left Of C. Below D. To The Right Of
Answer:
Left, Up
Step-by-step explanation:
Since -2 is to the left of 0 on the x-axis, we are moving left 2 units.
Since 7 is above 0 on the y-axis, we are moving up 7 units.
Answer:
The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units left of the origin and 7 units up the origin 1st Blank
There are books in a library, there are 4 different kinds of books. Science books make up 3/4 of art books. Comic books are 1/4 of the total books. History books are 1/5 of the total books. History books are 80 fewer than art books. How many books are in total?
Answer:
The total number of books is 1020.
Step-by-step explanation:
Denote the books by their first letter.
From the provided information:
[tex]S=\frac{3}{4}A[/tex] [tex]C=\frac{1}{4}T[/tex] [tex]H=\frac{1}{5}T[/tex] [tex]H = A-80[/tex]Compute the expression of T as follows:
[tex]H = A-80\\\\\frac{1}{5}T=A-80\\\\T=5A-400...(i)[/tex]
Compute the value of C in terms of A:
[tex]C=\frac{1}{4}T\\\\C=\frac{1}{4}\times {5A-400}\\\\C=\frac{5}{4}A-100...(ii)[/tex]
Compute the value of A as follows:
Use expressions (i) and (ii):
[tex]T=S+C+H+A\\\\5A-400=\frac{3}{4}A+\frac{5}{4}A-100+A-80+A\\\\5A-400=4A-180\\\\A=220[/tex]
Compute the value of T as follows:
[tex]T=5A-80\\\\T=(5\times 220)-80\\\\T=1100-80\\\\T=1020[/tex]
Thus, the total number of books is 1020.
Should I use SAS (side angle side) or SSS (side side side) to see if the triangles are congruent? AND WHY?
Question 6 Essay Worth 5 points)
(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
40
SO
Write and solve an equation to determine the measure of angle y.
I
The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.
The angles subtended by a circle is 360°, then;
The equation is found as;
[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]
The sum of angle of the two right angle is 180°;
x°+40°+50°=180°
x=90°
y+50°+40°=180°
Y=90°
Hence, the value of y will be 90°.
Learn more about solving equations here:
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Find CE. Please explain step by step!
Answer:
30
Step-by-step explanation:
We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.
Answer:
Step-by-step explanation:
BE=BC=25 in
trg BCE isosceles so CE=2✓25^2-20^2
=2"✓625-400=2*✓225=2*15
CE=30
How many 5-digit numbers can be formed using only odd digits?
Answer:
5^5
Step-by-step explanation:
Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (1, −3)
Step-by-step explanation:
Given.
[tex]3x+5y=3[/tex]
[tex]x+2y=0[/tex]
Take the second equation and subtract 2y to both sides.
[tex](x+2y)-2y=0-2y[/tex]
[tex]x=-2y[/tex]
Substitute x into the first equation and simplify.
[tex]3x+5y=3[/tex]
[tex]3(-2y)+5y=3[/tex]
[tex]-6y+5y=3[/tex]
[tex]-y=3[/tex]
Invert.
[tex]y=-3[/tex]
Substitute Y into your second equation.
[tex]x+2y=0[/tex]
[tex]x+2(-3)=0[/tex]
[tex]x-6=0[/tex]
Add -6 to both sides.
[tex](x-6)+6=0+6[/tex]
[tex]x=6[/tex]
Answer:
(6, -3)
Answer:
(6,-3)
Step-by-step explanation:
Got it right on the test
Hope this helps :)
PLEASE HELP!!
Which of the following statements is true for the figures shown?
B
O A A ABC has been dilated using O as the center,
B. A ABC has been reflected using C as the center.
c. A ABC has been dilated using C as the center.
OD. A ABC has been reflected using as the center.
The first four terms of a sequence are: 1/6 4/7 9/8 16/9
Find the nth term of this sequence.
Answer:
n^2/(n + 5)
Step-by-step explanation:
The numerators are 1^2, 2^2, 3^2, 4^2, etc.
The denominators are 6, 7, 8, 9, etc.
The nth numerator is n^2.
The nth denominator is n + 5.
Answer: n^2/(n + 5)
Please help me I need it done ASAP
Answer:
B
Step-by-step explanation:
I remember when I had this question
Find the range of the graphed function.
The range of the curve is from -6 to 10, i.e. -6 ≤ y ≤ 10.
Given is a graph of a curve having endpoints at (-10, -6) and (0, 10), we need to find its range.
To find the range of a curve, we need to determine the set of all possible y-values that the curve can attain.
In this case, we have the endpoints of the curve as (-10, -6) and (0, 10).
The range of the curve is the set of all possible y-values. To find it, we need to identify the minimum and maximum y-values.
The minimum y-value can be found at the lowest point of the curve. From the given endpoints, we can see that the lowest point lies at (-10, -6).
The maximum y-value can be found at the highest point of the curve. From the given endpoints, we can see that the highest point lies at (0, 10).
Therefore, the range of the curve is from -6 to 10, inclusive: [-6, 10].
Learn more about range click;
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The length of a rectangle is represented by the function L(x) = 2x. The width of that same rectangle is represented by the function W(x) = 8x2 − 4x + 1. Which of the following shows the area of the rectangle in terms of x?
Answer: (L. W)(x) = 16x^3 - 8x^2 + 2x
Step-by-step explanation:
The Area of a rectangle is calculated thus:
Area (A) = Width(W) × Length(L)
Given that:
Length = L(x) = 2x
Width = W(x) = 8x2 − 4x + 1
A = L(x) * W(x) = (2x) * (8x2 − 4x + 1)
Factorizing L(x) * W(x)
L(x) * W(x) = (L . W)(x)
(L . W)(x) = (2x) * (8x2 − 4x + 1)
(L . W)(x) = 16x^3 - 8x^2 + 2x