Answer:
-2q - 6
Step-by-step explanation:
Step 1: Rewrite expression
-6 + 4q - 6q
Step 2: Combine like terms
-6 - 2q
Step 3: Rearrange
-2q - 6
Answer:
The like terms are 4q and -6q. Since 4q + (-6q) = -2q the answer is -6 - 2q.
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.
if a watch is losing 1.5 minutes for every 12 hours that go by, how many minutes will it lose in one week?
Hey there! :)
Answer:
21 minutes.
Step-by-step explanation:
Begin by calculating the number of 12 hour periods in a week.
Each day contains two 12 hour periods. (24 hours/12 = 2)
There are 7 days in a week, therefore:
2 × 7 = 14 times the watch will lose minutes.
Multiply to find the total number of minutes lost:
14 × 1.5 = 21 minutes.
Answer:
21 minutes
Step-by-step explanation:
There are 24 hours in one day, and 7 days per week. Thus there are
(24)(7), or 168, hours in one week, or 14 - 12-hour periods.
Thus, we multiply 14 - 12-hr periods to answer this question:
1.5 minutes / 14 - 12-hour periods)= 21 minutes will be lost in one week.
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]
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. How much money was invested at 3%? $2,000 $3,000 $4,000
Answer:
money invested at 3% is $4000
Step-by-step explanation:
let the money invested in 3% account be x
then money invested in 5% account = 6000 - x
we know interest = p*r*t/100
p is the principle amount invested
here t = 1 year
interest on 3% money
interest= x*3*1/100 = 3x/100
interest on 5% money
interest= (6000-x)*5*1/100
Total interest earned on both the account
3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100
given that total interest earned = $220
thus
( 30000-2x)/100 = 220
=> 30000-2x = 220*100= 22,000
=> -2x = 22,000- 30,000
=> x = -8000/-2 = 4000
Thus, money invested at 3% = x = $4000
Answer:)
$4000
Step-by-step explanation:
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].
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Help with this question(will gove brainlist and thanks)(determine area)
Answer:
The area of a triangle is base * height / 2. In this case that is:
3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²
Answer:
3x-6 inches^2
Step-by-step explanation:
[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]
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 letter comes next? F H K N Z ? Choose from: L M T Y
Answer:
t
Step-by-step explanation:
The letter that comes next in the given sequence is K.
The given sequence is F H K N Z.
We need to find which letter comes next in the given sequence.
What is the pattern followed in the given sequence?The pattern followed by the given sequence is they are letters of sounding board consonants.
Therefore, the letter that comes next in the given sequence is K.
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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 :)
What is the equation of the circle graphed on the coordinate plane? answers: 1) (x – 2)2 + (y + 1)2 = 4 2) (x + 1)2 + (y – 2)2 = 16 3) (x – 2)2 + (y + 1)2 = 16 4) (x + 2)2 + (y – 1)2 = 16
Answer:
3) (x – 2)^2 + (y + 1)^2 = 16
Step-by-step explanation:
Equation of circle:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center, and r is the radius.
From the graph, we see the center is at (2, -1), so h = 2, and h = -1.
The radius is 4, so r = 4.
The equation is
(x - 2)^2 + (h - (-1))^2 = 4^2
(x - 2)^2 + (h + 1)^2 = 16
PLEASE HELP For what value of the variable will the value of 2x+1 be 20 greater than 8x+5?
It will be a negative.
for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11
-2(2) + 1 = -3
but that's only 8 apart, so it'd be higher.
-4(2) + 1 = -7
-4(8) + 5 = -27
BOOM
Tadaaaa,
You probably thought positive, but sometimes it's negative, you know what I mean?
Find the sum of the three expressions and choose the correct answer. -8a 3 b + 3a2 b 2 - 5 2 + 5a 2 b 2 3a 3 b + 7 - 9a 2 b 2
Answer:
-9ab3a3b-52
Step-by-step explanation:
-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2
-8a3b-6a-52+5a2b3a3b
-14a3b-52+5a2b3a3b
-9ab3a3b-52
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.
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.
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
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 are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12
We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.
Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.
x - 1 = 0 gives us x = 1.
x + 1 = 0 --> x = -1.
x - 4 = 0 --> x = 4.
x + 3 = 0 --> x = -3.
our roots are x = 1, -1, 4, and -3.
There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library?
Answer:170
Step-by-step explanation:
122+24+24=170
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
What is the name of the shape graphed by the function r = 1 + sine ?
A. Cardioid
B. Circle
C. Limaçon
D. Line
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.
Arman, Babken, and Cecilia decided to compete in a 100m run. When Arman crossed the finish line, Babken was 10m behind him. When Babken crossed the finish line, Cecilia was 10m behind him. How far was Cecilia behind Arman when he crossed the finish line? P.S. The answer is not 20.
Answer:
The answer is 19
Step-by-step explanation:
I am not good at explainig at all and im not sure how to explain but I had this question
Cecilia is 19 m behind the Arman.
Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.
percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.
Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.
As arman crossed finish line Cecilia is at = 90% of run covered by babken,
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19
Thus, Cecilia is 19 m behind the Arman.
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What is the length of AC?
3 ft
4 ft
9 ft
18 ft
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
How many 5-digit numbers can be formed using only odd digits?
Answer:
5^5
Step-by-step explanation:
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°.
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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
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)
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
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
L: y= -4x + 17
Step-by-step explanation:
For a line L to pass through two points, we use the slope formula to calculate the slope, m, where
m = (y2-y1) / (x2-x1)
= (9-1) / (2-4)
= 8 / -2
= -4
Next we use the point slope form to find the line equation:
L: (y-y1) = m (x-x1)
substitute (x1,y1) = (4,1)
L: y-1 = -4 (x-4)
Simplify:
L: y = -4x + 16 + 1
L: y= -4x + 17
Check: substitute (4,1)
y = -4(4)+17 = 1 checks
substitute (2,9)
y = -4(2)+17 = 9 checks
so
L: y= -4x + 17
Answer:
y is equal to 5 and x is equal to 11