Answer:
6, 8, 10.
Step-by-step explanation:
Let n be any integer.
Then our first even integer will be [tex]2n[/tex]
And the consecutive integers will be [tex]2n+2[/tex] and [tex]2n+4[/tex]
We want to find the integers such that the sum of twice the smallest number (2n) and three times the largest number (2n+4) is 42. In other words:
[tex]2(2n)+3(2n+4)=42[/tex]
Solve for n. Distribute:
[tex]4n+6n+12=42[/tex]
Combine like terms:
[tex]10n+12=42[/tex]
Subtract 12 from both sides:
[tex]10n=30[/tex]
Divide both sides by 10:
[tex]n=3[/tex]
So, the value of n is 3.
This means that our first even integer is 2(3) or 6.
So, our sequence of integers is: 6, 8, 10.
And we're done!
Notes:
We use 2n because anything integer multiplied by 2 ensures that the resulting number is even. Starting out, n can be either even or odd, but by multiplying it by 2, we will get an even number.
can someone solve this quick? i wanna check if i solved it correctly
Answer: [tex]x \le 9[/tex]
x is less than or equal to 9
on a keyboard you would write x <= 9
===========================================
Explanation:
We have a closed circle at x = 9. This means we include this endpoint as part of the shaded region. We will have "or equal to" as part of the inequality sign.
We also have "less than" as part of the inequality sign since we shade to the left. Values in the shaded region (eg: 2, 3, and 4) are either less than 9 or equal to 9.
So that's why the graph represents [tex]x \le 9[/tex]
----------------
Extra info:
If you want to write that in interval notation, then you would say [tex](-\infty, 9][/tex]
The curved parenthesis says to exclude the endpoint. We can't ever reach infinity so we cannot possibly include it as a number.
The square bracket says to include the endpoint.
You deposit $450 in an account that pays
6% interest compounded yearly. What is
the account balance after 6 years?
Answer:
638.33
Step-by-step explanation:
[tex]450(1+.06)^6[/tex]
please rate and mark as brainles.t
Which statement best describes what the graph shows?
A. As speed increases, kinetic energy stays the same.
B. As kinetic energy increases, speed decreases exponentially
C. As speed decreases, kinetic energy doubles each time.
D. As speed increases, kinetic energy increases exponentially
Answer:B
Step-by-step explanation:Why because kinetik energy is moving and since its a curve line instead of straigh the speed will decrease
Sorry if I am wrong
On a map the
distance between +
Houston and Austin is is
7 cm. The scale on the
map is 1cm = 56 mi. 1
What is the distance
between the two
cities?
Answer:
392
Step-by-step explanation:
1 cm is 56, you would multiply that by 7 to get 392.
Exterior Angles. Please help my homework is due tomorrow
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
(−1, −6)
(7, 0)
(11, 3)
(−3, 3)
Answer:
Step-by-step explanation:
1) (-1,-6)
The easy way is just plug in the values to see if it's equal to 21
2a - 5 > 3 please help ASAP :)))
Answer:
a>4
Step-by-step explanation:
If 11% of people are left handed, and there are 484 students and 45 adults at our school, approxumately how many people are left handed?
Answer:440
Step-by-step explanation:
What is the unit rate per student?
12 students ate 4.5 pizzas
Answer:
5,200rs
Step-by-step explanation:
Answer:
0.37
Step-by-step explanation:
please mark me as brainlest
Question 4 of 10
Which set of values could be the side lengths of a 30-60-90 triangle?
the right answer is c
what is 26*46-14
[tex]26 \times 46 - 14 = [/tex]
Answer: 1182
Step-by-step explanation:
What’s 3/45 divided by 4000/5467
Answer:
Here is the answer.
Step-by-step explanation:
Find the value of x so the function has the given value.
f(x) = 3x - 4; f(x) = 17
Please HELP
Answer: 7
Step-by-step explanation:
To find the value of x, we can set the f(x) of each equation equal, so we get
3x - 4 = 17
+ 4 +4
3x = 21
x = 7 [Divide 3 by both sides]
What is the area of 3.5 and 4.8 and 6
Barbara is buying 4 binders, and each binder costs the same amount. She uses a coupon that gives her $3 off for the total purchase price of the binders. Barb pays a total of $11 when the value of the coupon is subtracted. Which equation shows how to find p, the original price of each binder?
Answer:
Equation is 4 p-3=11
Step-by-step explanation:
Barbara is buying 4 binders each cost same amount.
Let the cost of 1 binder is '$p'.
So, cost of 4 binders = $4 p.
Now, a coupon that gives her $3 off.
So, Barb needs to pay 4 p-3 dollars.
Barb pays a total of $11 when the value of the coupon is subtracted.
So, we can set up equation as
4 p-3=11
if a and b are integers, what conditions would make a×b >0?
Answer:
If a and b are either both positive integers or both negative integers
Step-by-step explanation:
If a and b are both positive integers (a>0 and b>0), then the product will obviously be a positive number. Additionally, if both terms are negative (a<0 and b<0), the product of two negative integers is positive and will satisfy the condition.
Integers are numbers without decimal points.
The conditions that would make [tex]\mathbf{a \times b > 0}[/tex] are: a, b > 0 or a, b < 0
From the question, we have:
[tex]\mathbf{a \times b > 0}[/tex]
Divide both sides by a
[tex]\mathbf{b > 0}[/tex]
Divide both sides by b
[tex]\mathbf{a > 0}[/tex]
The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a > 0}[/tex] and [tex]\mathbf{b > 0}[/tex]
Another possible condition is that:
[tex]\mathbf{a \times b > 0}[/tex]
Divide both sides by -a
[tex]\mathbf{b<0}[/tex]
Divide both sides by -b
[tex]\mathbf{a<0}[/tex]
The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a<0}[/tex] and [tex]\mathbf{b<0}[/tex]
Hence, the condition that would make [tex]\mathbf{a \times b > 0}[/tex] true is that: a and b have the same sign
Read more about integers at:
https://brainly.com/question/18258950
Click to select the figure in the image that would portray the rotation of the given preimage. The arrow represents both the direction and angle measure of the rotation.
Pre-image:
Image:
Based on the First image, the correct option is the fourth image while based on the second image, the correct option is the fourth image also.
Wat is the rotated in the above direction about?Given that the pre-image is rotated in the direction of the arrow as seen an the first image.
It is required to find the image formed also in that given direction.
Based on the fact that the arrow is rotating counter-clockwise, we get that, the shape of the pre-image will also rotate upwards towards the left hand side of the image shown.
So, based on the options (Taking the 1st image as pre-image), we have,
The fourth image where the shape is at the highest height will be the the fourth image after rotating the pre-image.
Learn more about image construction from
https://brainly.com/question/2459729
HELP!!! this is super important please help a boi out :/
Answer:
P=7
Step-by-step explanation:
7-3=4
4/2=2
therefore,
p=7
3
Which of the following is a rational number?
O A. 66
OB.
7
OC. 36
OD.
V40
just need this &' three more .
Answer:
3(x-4)=6x-2(x+3)
3x-12=6x-2x-6
3x-12=4x-6
3x-4x=-6+12
-x=6
:.x=-6
✿[tex]\underline{\textbf{\textsf{ \purple{Solution}:- }}}[/tex]
[tex]\sf{\\}[/tex][tex]\sf3(x - 4) = 6x - 2(x + 3)[/tex] [tex]\longrightarrow \sf3x - 12 = 6x - 2x - 6 [/tex] [tex]\longrightarrow\sf3x - 12 = 4x - 6[/tex] [tex]\longrightarrow\sf3x - 4x = 12 - 6 [/tex]
[tex]\longrightarrow\sf -x = 6[/tex]
[tex]\leadsto \underline{\boxed{\mathfrak{ \pink{x = -6} }}} [/tex]
27. The perimeter of a rectangle is 46 inches. If the width of the rectangle is 11 inches, what is
the length?
A. 12 in
B. 23 in
C. 35 in
D. 24 in
Answer:
12
Step-by-step explanation:
perimeter is (a+b) x 2 = 46
a is width and b is length
a=11
(11+b) x 2 = 46
22 + 2b = 46
2b = 24
b = 12 ( length )
Solution:
We know that:
Width of rectangle = 11 inchesPerimeter of rectangle = L + B + L + B = 2L + 2BSubstitute the width in the expression:
2L + 2B = Perimeter2L + 2(11) = 46 inSimplify the LHS:
2L + 22 = 46 inSubtract 22 both sides:
2L = 46 - 222L = 24Divide 2 both sides:
2L/2 = 24/2L = 24/2 = 12 inhow do i do a dialation
Answer:
A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of each type of dilation (one that gets larger and one that gest smaller).
Step-by-step explanation:
Dilations can also reduce the size of shape. The picture below demonstrations a dilation of 12 Any time that the scale factor is a fraction, the image will get smaller.
It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2, 4) by a scale factor of 12.
You spin a spinner with five equal spaces and roll an eight-sided die. How many possible outcomes are in the sample space?
Answer:
40
Step-by-step explanation:
The spinner gives you 5 choices.
The die gives you 8 choices
Answer: The total number of choices is 5* 8 = 40
it is saying that You spin a spinner with five equal spaces so, we have 5
roll an eight - sided die so, we have 8
then, it is saying that
How many possible outcomes are in the sample space
so, we have to multiply 5 with 8 we get the answer :-= 5 × 8
= 40
so, we have answer is 40a transformation that slides the figure from one position to another without turning
1.rotation
2.translation
3. reflection
NEED HELP ASAP! THANK YOU!
To get to Checkpoint C, Helena needs to run north 6 units, crawl through a 4-unit-long tube to the east, hopscotch south 3 units, jump 1 unit to the east, and run south 3 units.
1. Since she began at Checkpoint B, what are the coordinates for Checkpoint C?
2. What would be an easier way to get from Checkpoint B to Checkpoint C?
3. How might you be able to figure this out just by reading the description of the translations? (Hint: It may help you to plot these points on a graph or draw a picture.)
Helena's motions, including the 6 units north, 4 and 1, east, 3 and 3 south gives;
(5, 0)5 units to the southAdding the motions based on their directionsHow can the position of Helena be found?1. Let the coordinates of checkpoint B be (0, 0), using vectors, we have;
[tex]6 \times j \: + 4 \times i - 3 \times j \: + i - 3 \times j = 0 \times j \: + 5 \times i[/tex]
The coordinates of checkpoint C is therefore; (5, 0)
2. The easier way to get to checkpoint C from point B is to go south 5 units.
3. How it is possible to figure out the shortest route is by taking the northwards and eastwards motions as positive numbers, and the motions to the south as negative.
The motions to the north can only be added to the motions to the south (motions in the same straight line) and the motions towards east are to be added to themselves.
Learn more about vectors here:
https://brainly.com/question/24855749
Answer:
5, 0
5 units south
adding motions based on direction
Step-by-step explanation:
The sum of three consecutive numbers is 90. What is the largest integer?
a. 29
b. 30
c. 31
d. 32
Find B in degrees. PLEASE HELP. MARKING BRAINLIEST!!!
Answer:
28.61
Step-by-step explanation:
[tex]tan^{-1} (6/11)[/tex]
ILL MARK BRAINILEST (100 POINTS) !!! Factor the polynomial 7xy + 14x − 35y − 70 completely. 7(2x − 5)(y + 2) 7(x − 5)(y + 2) 7(x − 2)(y + 5) 7(x − 10)(y + 2)
Answer:
B. 7(x − 5)(y + 2)
Explanation:
A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)
B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)
C. 7(x − 2)(y + 5) = 7xy + 35x− 14y − 70 (Wrong)
D. 7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)
2nd one
Let's verify
[tex]\\ \rm\Rrightarrow 7(x-5)(y+2)[/tex]
[tex]\\ \rm\Rrightarrow 7(xy-5y+2x-10)[/tex]
[tex]\\ \rm\Rrightarrow 7xy-35+14x-70[/tex]
Verified
Please don’t comment if your not going to help!
Need help asap/ Need help finding sides by using trigonometry!
Don’t forget SOHCAHTOA.
Sine-opposite/hypotenuse
Cosine-adjacent/hypotenuse
Tangent-opposite/adjacent
Answer:
1. x = 6.1
2. x = 95.5
3. x = 0.51
4. x = 94.4
5. x = 5.3
Step-by-step explanation:
I did this in degree mode, with SOH CAH TOA. The * sign represents the degree sign in my explanation.
1. sin 34* = 3.4/x -> x(sin34*) = 3.4 -> x = 3.4/(sin34*) -> 6.1
2. cos 57* = 52/x -> x(cos57*) = 52 -> x = 52/cos57* = 95.5
3. tan63* = 1/x -> x = 1/tan63* = 0.51
4. tan58* = x/59 -> 59(tan58*) = x -> x = 94.4
5. cos55* = x/9.3 -> 9.3(cos55*) = x -> x = 5.3
PLEASE HELP ME
the function f(x)=x^2 is transformed to the function g(x)=2(x-2)^2 +1
I already did a just need help sketching the original graph please review the picture I made It easy
Answer:
f(x) → f(x - b) means shift the function b units to right
Therefore x² → (x - 2)² means the function is moved 2 units to the right.
f(x) → a f(x) means a vertical stretch
Therefore (x - 2)² → 2(x - 2)² means the function stretched vertically by a scale factor of 2.
f(x) → f(x) + b means shift the function b units up
Therefore 2(x - 2)² + 1 means the function is moved 1 unit up.
Attached diagram:
f(x) is shown in black, g(x) is shown in red.
Points to help plot graph f(x):
(-3, 9) (-2, 4) (0, 0) (2, 4) (3, 9)
Points to help plot graph g(x):
(0, 9) (2, 1) (4, 9)