Answer:
a1=2 and r=-1
Explanation:
"A geometric series is a series with a constant ratio between successive terms".
Here, we can observe that the first term 'a' is '2'.
And the common ratio 'r' =
Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.
Answer:
First term, a, is 2. Next term, -2, is the product of 2 and -1 and is -2. Next term, 2, is the product of -2 and -1. Thus, the first term, a, is 2 and the common ratio, r, is -1
Simplify: $x(3x^2-2)-5(x^2-2x+7)$. Express your answer in the form $Ax^3+Bx^2+Cx+D.$
Answer:
3x^3-5x^2+8x-35
Step-by-step explanation:
If k = 3, what is the value of k +(2k – 10)
Answer:
-1
Step-by-step explanation:
k + (2k - 10) =
= 3 + (2 * 3 - 10)
= 3 + (6 - 10)
= 3 + (-4)
= -1
Answer:
The value of the equation is -1
Step-by-step explanation:
1st plug in 3 in the equation for k
3 + (2(3)-10)
now we can use PEMDAS
3 + (6 - 10)
we multiplied 2 and 3 to get 6
keep going
3 + -4
now that you have this, we can solve with intervals
btw A positive - negative becomes a negative symbol -
so your equation looks like this now
3 - 4
now we can subtract and our final answer should be
-1
High Hopes <3
Barry
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. The rule for the translation can be written as T–5, 3(x, y). The rule for the translation can be written as T3, –5(x, y). The rule for the translation can be written as (x, y) → (x + 3, y – 3). The rule for the translation can be written as (x, y) → (x – 3, y – 3). Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
True statements are
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
Given :
The graph is attached below
Given options are
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
Explanation :
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points we can see that
[tex]-1+3=2\\3-5=-2[/tex]
So , 3 is added with x value and -5 is added with y value
Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.
Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]
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Which of the following correctly completes the square for the equation
below?
x2 + 4x = 27
A. (x + 2)2 = 31
B. (x + 2)2 = 43
C. (x + 4)2 = 31
D. (x+4)2 = 43
SUBMI
PREVIOUS
Answer:
A. (x + 2)^2 = 31.
Step-by-step explanation:
x^2 + 4x = 27
x^2 + 4x - 27 = 0
A. (x + 2)^2 = 31
x^2 + 4x + 4 - 31 = 0
x^2 + 4x - 27 = 0
This option corresponds to the given equation, so it is correct.
B. (x + 2)^2 = 43
x^2 + 4x + 4 - 43 = 0
x^2 + 4x - 39 = 0
This does not correspond to the equation.
C. (x + 4)^2 = 31
x^2 + 8x + 16 - 31 = 0
x^2 + 8x - 15 = 0
This does not correspond to the equation.
D. (x+4)^2 = 43
x^2 + 8x + 16 - 43 = 0
x^2 + 8x - 27 = 0
This does not correspond to the equation.
So, your answer is A. (x + 2)^2 = 31.
Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!
Pls help with explanation. Will give brainliest
Answer:
E - 40°
Step-by-step explanation:
Angle O = 2 × y
{Angle at center is equal to twice the angle at circumference formed by the same arc}
O = 2 × 70°
O = 140°
x + 90° + 90° + O = 360°
{Sum of angles in a quadrilateral is equal to 360°}
x + 90° + 90° + 140° = 360°
x + 320° = 360°
x = 40°
PRE CALC HELP PLEASE
Answer:
B. The graph is stretched vertically by a factor of 2
Step-by-step explanation:
A non-rigid transformation changes the shape of the curve.
In y + 5 = -2(x - 1)²
the +5 translates the graph 5 units down (a rigid transformation)the -1 translates the graph 1 units to the right (a rigid transformation)the -2 vertically stretches the graph by a factor of 2 (a non-rigid transformation) and reflect it across the x-axis (a rigid transformation)The votes for president in a club election were: Smith: 24 Munoz: 32 Park: 20 Find the following ratios and write in simplest form. Votes for Munoz to Smith: Votes for Park to Munoz: Votes for Smith to total votes: Votes for Smith to Munoz to Park:
Answer:
Step-by-step explanation:
Smith=24
Munoz=32
Park=20
Total votes=24+32+20=76
Ratio of votes for Munoz to Smith
32:24
=4:3
Ratio of votes for Park to Munoz
20:32
=5:8
Ratio of votes for Smith to total votes
24:76
=6:19
Ratio of votes for Smith to Munoz to Park
24:32:20
=6:8:5
In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I
Answer:
C. Quadrant III
Step-by-step explanation:
Note:
Quadrant I: x(+)
y(+)
--------------------------------
Quadrant II: x(-)
y(+)
--------------------------------
Quadrant III: x(-)
y(-)
--------------------------------
Quadrant IV: x(+)
y(-)
PLEASE HURRY Find the measures of the numbered angle
Answer:
90°
Step-by-step explanation:
The sum of the arcs around the circle is ...
2x +4x +4x +2x = 360°
x = 360°/12 = 30°
The numbered angle is the average of the measures of the intercepted arcs, so is ...
(4x +2x)/2 = 3x = 3(30°) = 90°
The numbered angle is 90°.
CORRECT ANSWER GETS BRAINLIEST!! PLSS HELP!!
Answer:
Landing on a 1 or 2.
25% means 0.25, or 2/8 chance of winning. The spinner has 2 out of 8 as 1 or 2.
Find the missing segment in the attached image
Answer:
25 units
Step-by-step explanation:
This problem can be solved by using concept of Basic proportionality theorem.
This theorem states that if there is line drawn parallel to any side of the triangle, and it intersect the other two sides, then
segment divided on those two sides are in equal proportion.
Let naem this triangle
the side containing 15 and 6 be AB, with A be point on segment having length 15 units
B be point on segment having length 6 units
c be point on segment having length ? units
DE line parallel to BC
Thus, if apply Basic proportionality theorem. in this then ratio formed will be
15/6 = ?/10
5/2 = ?/10
?= 5/2* 10 = 25
The length of missing segment is 25 units.
Find the unit price for each size of the peanut butter and determine which size is the better buy? 18 oz- $3.28 22oz-$3.99 28oz-$4.89
Answer:28oz-$4.89 is better deal. It is 17.5 cents per oz.
Step-by-step explanation:
Answer: The best option would be the 28 oz option
Step-by-step explanation:
First you would divide the dollar amount by the amount of ounces to get how much it is per ounce. For the 18 oz jar it is about 0.182 per ounce. For the 22 oz jar it is about .181 per ounce. For the 28 it is about 0.175 per ounce. Therefore the 28 oz is the best option.
Please find the length of the segment!!!
Answer:171.5
Step-by-step explanation:
7=✓3.5*x
49=3.5 x
x=48/3.5
x=48*35/10=24*35/5=24*7=168
AW=168
LW=3.5+168=171.5
Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
2y - 12
2(y -12)
2(y + 12)
2y + 12
Answer:
Step-by-step explanation:
2y - 12 is correct.
2(y - 12) would apply if the problem statement were: "twice the difference of y and 12".
The algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.
Given phrase,
Two times the quantity of a number minus 12.
We need to find an algebraic expression that represents the above phrase.
The given phrase is "Two times the quantity of a number minus 12".
We will separate it into two parts :
- Two times the quantity of a number
- Minus 12
Let the quantity of a number be y.
So we have,
"Two times the quantity of a number" can be written as:
= 2 x y
Adding the other parts "Minus 12" we get:
= 2y - 12
Thus, the algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.
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* PLEASE ANSWER TY!! * If BC is tangent to circle O and OB is a radius, what kind of triangle is OBC?
Answer:
Right Triangle
Step-by-step explanation:
BC is tangent to circle O, and since radius OB is perpendicular to this tangent, then the triangle must have a right angles in it, making it a right triangle.
The triangle could also be scalene, but that is not for sure, meaning it is primarily a right triangle.
Identify the unit rate: 1,500 words in 25 minutes.
Answer:
60 wpm
Step-by-step explanation:
I suck at explaining but I really hope I helped :) You have to divided 1500 by 25
Answer:
1 word every second
Step-by-step explanation:
25x60=1,500
1,500 words/1,500 seconds=
1 word/1 second
A restaurant menu offers four main courses: grilled chicken, hamburger, hot dog, or pasta. The menu offers three side dishes: salad, coleslaw, or fries. Lastly, the menu offers diners a selection of brownies, ice cream, or cookies as dessert. How many meal combinations are available?
Answer:
36
Step-by-step explanation:
You simply multiply the number of options per each course of the meal and get 3*4*3=12*3=36
WILL MARK BRAINIEST [tex]f(x)=4x^2+5+2^x[/tex]
Find [tex]f(-4)[/tex].
Step-by-step explanation:
[tex]f(x) = 4 {x}^{2} + 5 + {2}^{x} [/tex]
To find f(-4) replace every x in f(x) by - 4
That's
[tex]f( - 4) = 4( { - 4})^{2} + 5 + {2}^{ - 4} \\ \\ = 4(16) + 5 + \frac{1}{16} \\ \\ = 64 + 5 + \frac{1}{16} \\ \\ = 69 + \frac{1}{16} \\ \\ = \frac{1105}{16} \\ \\ = 69 \ \frac{1}{16} [/tex]
Hope this helps you
What is the ratio of the circumference of the orange
circle to the circumference of the blue circle?
a. 4pi/9pi
b. 3/2
B) 3/2
The radius of a circle is half its diameter.
Thus, the radius of the orange circle is 6, and the blue circle is 4
Thus the ratio is 4/6, which can be simplified to 3/2
Hope it helps <3 (Also, just answered this question for someone else!!)
Answer:
B. 3/2
Step-by-step explanation:
EDG
what is the product of the reciprocal of 2/3, 1/8 and 5
Answer:
Hey there! The answer to your question is below.
Step-by-step explanation:
The answer would be 2 ⅖
I attached a picture, sorry for my bad handwriting
By xBrainly
The product of the reciprocal of 2/3, 1/8, 5 is 2 2/5
Given: 2/3, 1/8, 5
Reciprocal of 2/3 = 3/2
Reciprocal of 1/8 = 8/1
Reciprocal of 5 = 1/5
Product = 3/2 * 8/1 * 1/5
= (3 * 8 * 1) / (2 * 1 * 5)
= 24/10
= 2 4/10
= 2 2/5
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PLEASE ANSWER ASAPPPP I WILL MARK BRAINLY
Answer:
The answer is option A.
[tex]7( \frac{x}{8} ) + \frac{3}{4} = - 6[/tex]
Hope this helps you
Answer:
1
Step-by-step explanation:
the two last answers are obviously wrong (if you want I can explain it to you in the comments)
the second one is mathematically wrong
So I am pretty sure the correct answer is the first one
Simplify -2 1/6 -7 1/3
━━━━━━━☆☆━━━━━━━
▹ Answer
-9 1/2 → -9.5
▹ Step-by-Step Explanation
-2 1/6 - 7 1/3
-(2 1/6 + 7 1/3)
-((2 + 7) + (1/6 + 1/3))
-(9 + (1/6 + 1/3))
FINAL ANSWER = -9 1/2
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The ratio of the lengths of the corresponding sides of two regular octagons is 8 to 3. The area of the larger octagon is 320 ft2. Find the area of the smaller octagon.
Answer:
45 square units
Step-by-step explanation:
In the above question, we are given the following values
The ratio of the lengths of the corresponding sides of two regular octagons is 8 to 3.
This means the length of the larger octagon = 8
The length of the smaller octagon = 3
Using scale factor denoted as k and because we are dealing with area of the octagon
k = 3²/8²
The area of the larger octagon is 320 ft².
The area of the smaller octagon s represented as y and is calculated as
k = y/Area of larger octagon
3²/8² = y/320
Cross multiply
8² × y = 3² × 320
y = 3² × 320/8²
y = 45 square units
Area of smaller octagon = 45 square units.
The marketing club at school is opening a student store. They randomly survey 50 students about how much money
they spend on lunch each day. What is the expected value for a student to spend on lunch each day?
Student Lunch Survey
Number of Dollars Spent on
Students
Lunch Each Day
2
$10
1
$8
12
$6
23
$5
8
$4
4
$3
$2.59
$5.11
$5.18
$9.07
Answer:
6.75
Step-by-step explanation:
2+10+1+8+12+6+23+5+8+4+4+3+2.59+5.11+5.18+9.07 = 107.95
now we count how much numbers you added up which equals 16 and divide it with 107.95
107.95/16 = 6.746875
now you cant pay half a penny or such and such
so your round it off at 6.746 to 6.75
and there you have it
Answer:
its $5.18 on edge
Step-by-step explanation:
yw
Find the equation of the line.
Use exact numbers.
Answer:
y = -1/3x +5
Step-by-step explanation:
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
The y intercept is 5 ( where it crosses the y axis)
The slope is
m = (y2-y1)/(x2 -x1)
We need two points on the line ( 0,5) and (3,4)
m = (4-5)/(3-0)
= -1/3
y = -1/3x +5
Start by finding the b or the y-intercept.
This is the point where the line crosses the y-axis.
Our y-intercept is (0,5) or just 6.
From here, we look for clear cut points on the line.
Notice that if we go down 1 unit and to the right 3 units,
our point will end up exactly in the middle of the cross.
So our slope is -1/3.
So the equation is -1/3x + 5.
Solve the system of inequalities : |x|<7 |x| ≥5
Answer:
x=5,6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.
Next, draw a solid horizontal line at y = 5.
Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7. The result will be a trapezoid-shaped area. All points in this area are solutions to this system of inequalities.
*ANSWER PLS, DIFFICULT QUESTION* Wrapping paper costs $0.025 per square inch. If a moving box that is an 8 ½ inch cube is being wrapped, how much would the wrapping paper for this box cost (rounded to the nearest dollars and cents)?
Answer: D $10.84
Step-by-step explanation:
If the box is a cube and paper is needed to wrap it, then we need to find the surface area of the box then multiply it buy the cost of the wrapping paper.
The surface area of a cube uses the formula 6a^2 where a is any side length.
We know that the box has a side length of 8.5 inches.
SA = 6*8.5^2
SA= 433.5
Now multiply the surface area by the money.
433.5 * 0.025 = 10.8375
Round 10.8375 to dollars and cents as it is required.
10.8375 = 10.84
Which means it will cost $10.84 to wrap the box.
Answer:
$10.84
Step-by-step explanation:
The surface area of the moving box is SA = 6s2.
SA = 6(8.5)2
SA = 6(72.25)
SA = 433.50 square inches.
At $0.025 per square inch, it would take 433.50 x (0.025) or $10.84 to wrap this box.
Find,in the form y=mx +c, the equation of the straight line with the given gradient which passes through the given point.
gradient 3, point (1,2)
gradient -1, point (5,3)
gradient 4, point (-2,-3)
Answer:
for first
Step-by-step explanation:
here
slope (m)=3
point=(1,2)=(x1,x2)
equation of straight line
(y-y1)=m(x-x1)
or 3x-y+1=0
so y= 3x+1
now do all of the question like this
Solve the system of linear equations. 3x + y = 9 y − 2x = 4 A) (1, 6) B) (−1, 6) C) (1, −6) D) (−1, −6)
Hey there! :)
Answer:
A) (1, 6)
Step-by-step explanation:
Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:
3x + y = 9
y = -3x + 9
--------------
y - 2x = 4
y = 2x + 4
---------------
-3x + 9 = 2x + 4
Add 3x to both sides:
-3x + 3x + 9 = 2x + 3x + 4
9 = 5x + 4
Subtract 4 from both sides:
9 - 4 = 5x + 4 - 4
5 = 5x
Divide both sides by 5:
5/5 = 5x/5
x = 1. Substitute 1 into an equation to solve for y:
3(1) + y = 9
3 + y = 9
y = 9 - 3
y = 6.
Therefore, the coordinates of the solution are:
A) (1, 6)
Answer:
[tex]\boxed{OptionA}[/tex]
Step-by-step explanation:
3x+y = 9
y-2x = 4
Subtracting both equations
=> 3x+y-(y-2x) = 9-4
=> 3x+y-y+2x = 5
=> 3x+2x = 5
=> 5x = 5
Dividing both sides by 5
=> x = 1
Now, Putting x = 1 in the first equation
=> 3(1)+y = 9
=> 3+y = 9
=> y = 9-3
=> y = 6
Ordered pair = (x,y) = (1,6)
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?
Answer: 36 three-point field goals
Step-by-step explanation:
To solve this problem, set up a system of equations. Let's call the number of one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws, so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex] and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.
The number of two-point and three-point field goals they made is 27 and 36, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of two points basket be represented by x and the number of three points basket be represented by y.
Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,
22 + x + y = 85
Solving the equation for x,
x = 85 - 22 - y
x = 63 - y
Further given that the total point made is 184. Therefore, the total number of score can be written as,
22 + 2x + 3y = 184
22 + 2(63 - y) + 3y = 184
22 + 126 - 2y + 3y = 184
y = 36
Substitute the value of y in the first equation,
22 + x + y = 85
x = 85 - 22 - 36
x = 27
Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.
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