[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]
[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]
[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]
[tex]\\ \sf\longmapsto f(-2)=-6[/tex]
.#2
[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]
[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]
[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]
.Now
[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]
[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2h[/tex]
2. A group of 40 subjects was divided into two groups with one group given an energy drink and one group
given water. The subjects were then given a spelling test and
the mean number of words correctly spelled was
recorded for each member of the two groups. This experiment was designed this way to quantify which of the
following types of variability?
(1) natural
(3) induced
(2) sampling
(4) measurement
The design of the experiment was done to quantify induced variability.
What is induced variability?
Induced variability is when a variable that is not naturally present in the experiment is introduced into the experiment in order to test the response of respondents to the variable introduced. The artificial variable that was introduced into the experiment was energy drinks.
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How much warmer is 82 than -40?
Pls help
Answer:
122 degrees
Step-by-step explanation:
Take the warmer temperature and subtract the colder temperature
82 - (-40)
82+40
122
The difference is 122
I have no clue lol
I accidently put supplementary so ignore that.
Answer:
5. Vertical
6. 133°
Step-by-step explanation:
These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.
To train for an upcoming marathon, Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks.
There are many ways to approach this problem.
Week Miles
1 2
2 2.5
3 3
4 3.5
5 4
6 4.5
Write an equation to represent the nth term of the sequence.
Answer:
f(x)= .5x + 2
Step-by-step explanation:
Now this is not to complicated
first the constant is 2
after each day she gains .5 miles
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Let the distance travelled by Susie in any week,x be represented by y.
Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,
Initial distance = y-intercept = c = 2
Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,
Slope, m = Change in the distance = 0.5
Now, if the equation represents the nth term of the sequence, then we can write,
y = mx + c
y = 0.5x + 2
Hence, the equation to represent the nth term of the sequence is y=0.5x+2.
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Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answer:<JGI
Explanation:
Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH
Hope this helps.
The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.
More about the angled link is given below.
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Order the expressions by choosing >,<,or =
Answer:
==<Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(c^b) = (ac)^b
(a^b)(a^c) = a^(b+c)
__
1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal
2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal
3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)
= 15^5 × 5^-2 < 15^15 . . . . less than
_____
Additional comment
Your calculator can evaluate these expressions so you can see their relationships.
"The square root of two times a number subtract five is equal to ten."
It would be √2 x n - 5 = 10.
what is -7/9 x -2/3 in simplest form
Answer:
heres my fake account and name
Step-by-step explanation:
A tank is 5 metre long 3 metre wide and 1 m high. how many litre of water can it hold?
Answer:
15,000 liters
Step-by-step explanation:
First, find the volume in meters. 5*3*1=15 meters
1 meter = 1000 liters
(x15)
15 meters = 15000 liters
Hope this helped :D
Calculate the measure of angle L
==================================================
Explanation:
Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.
For any quadrilateral, the four angles always add to 360 degrees.
L+M+O+P = 360
L+90+165+90 = 360
L+345 = 360
L = 360-345
L = 15
Another route you can use is the fact that opposite angles L and O are supplementary
L+O = 180
L+165 = 180
L = 180-165
L = 15
Find the
17th
term of the arithmetic sequence whose common difference is d=5 and whose first term is a1 = 1.
The [tex]17th[/tex] term of the arithmetic sequence is [tex]81[/tex]
An arithmetic sequence is a sequence of numbers produced by adding a fixed number, called the common difference, to a term in the sequence to get the next term of the sequence.
The formula for calculating the [tex]nth[/tex] term of a sequence is
[tex]a_n=a_1+(n-1)d[/tex]
where
[tex]a_n=\text{the nth term}\\a_1=\text{the first term}\\d=\text{the common difference}[/tex]
from the question
[tex]n=17\\d=5\\a_1=1[/tex]
from this information, we can calculate the [tex]17th[/tex] term of the sequence thus
[tex]a_n=a_1+(n-1)d\\a_{17}=1+(17-1)\times5\\=81[/tex]
so, [tex]a_n=81[/tex]
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* Help!
* Need steps!
* Answer only if you know, thanks!
[tex]\text{Given that,}~3x-y = 12\\\\\\\dfrac{8^x}{2^y} =\dfrac{(2^3)^x}{2^y } = \dfrac{2^{3x}}{2^y} = 2^{3x-y} = 2^{12}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex] \sf3x - y = 12[/tex][tex] \sf3x = y + 12[/tex]now, evaluate the value of given expression ~
[tex] \sf \dfrac{ {8}^{x} }{ {2}^{y} } [/tex][tex] \sf \dfrac{{(2 {}^{3} ) }^{x} }{ {2}^{y} } [/tex][tex] \sf \dfrac{2 {}^{3x} }{ {2}^{y} } [/tex]Now, plug the value of 3x from the previous equation ~
[tex] \sf \dfrac{(2 ){}^{y + 12} }{ {2}^{y} }[/tex][tex] \sf2 {}^{ \ \cancel y + 12 - \cancel y} [/tex][tex] \sf{2}^{12} [/tex]Therefore , the required expression is ~ 2¹²
Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).
Answer:
y = 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )
m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = 3x + 4 ← equation of line
What type of number is 12/3?
Choose all answers that apply:
A) Whole number
B) Integer
C) Rational
D) Irrational
Pls help it’s for a test
Answer: All except Irrational
Step-by-step explanation:
12/3 = 4, 4 is an integer, a whole number, and it is rational.
its graphing linear inequalities
if u can help that would be nice
Answer:
y>_ 5/3x+3 is the answer.
Step-by-step explanation:
heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour heather works on their hair style.as back to school special she offers to lower her price per hour by $5 what equation represents the total amount paid to heather,y,after x hours of hair styling
Answer:
y = 5 + 7x
Step-by-step explanation:
So 5 is going to be a constant factor. So Y is gonna equal 5 plus something. 12 dollars for every hour is 12x and there is a 5 dollar discount. 12-5 = 7 and so it is 7 dollars per hour.
So the total cost Y equal the constant 5 and 7x
Y = 5 + 7x
pls help me answer this it's due today
Answer:
I think its 21 But if its times then its 240
Step-by-step explanation:
Hope this helped
Answer:
120
Step-by-step explanation:
formula for volume is area×height
so
v=1 /2b×h×l
v=1/2×5×4×12
v=2.5×4×12
v=10×12
[tex]v= {120cm}^{3} [/tex]
What is the slope of the line with the equation: y+6=24-2x
pleeaseeee
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
y=18-2x
y=-2x+18
Answer:
Slope = -2
Step-by-step explanation:
Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.
the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be
m=-2/1 rise/run
Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st
The reason why the given graph relation is considered to be a function is because;
A. Yes, because every x-value corresponds with a single y-value.
From the given graph, we see the (x, y) coordinates as;
(5, 4)
(7, 2)
(6, 9)
(3, 10)
Now, we see that none of the x-values are the same and likewise none of the y-values are the same.
This means that each of the x-values have a unique y-value.
Thus, it can be said to be a function
Read more about properties of functions at;https://brainly.com/question/18427017
(3,6) in a 180 degree rotation
Answer:
(-3,6)
Step-by-step explanation:
There's a formula for this, but it's just reflecting it across the y-axis.
Hope this helped! :)
pls answer quickly
A pool charges $7 for 2 daily pool passes. Which table could represent the situation?
Answer: B
Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.
Charnise uses 3 gal. red paint to 5 gal. white paint to make pink paint. She
needs 24 gal. of pink paint. How many gallons of red paint will she need?
The method into creating pink paint is mixing 3 gallons of red paint and 5 gallons of white paint together. This mixture only creates 8 gallons of paint and she needs 16 more. List the factors of 16:
1, 2, 4, 8, and 16
We notice that 8 can be factored out of 16 and becomes:
16 / 8 = 2
If we multiply the sample by 3 (the one already counted plus the two extra), we can discover how much paint is needed. Multiply everything by 3:
3 x 3 = 9
5 x 3 = 15
So in this case, 15 gallons of white paint and 9 gallons of red paint are need and combine for 24 gallons in total.
WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer: Yes, he does.
Step-by-step explanation:
55 x 12 = 600 Also can I see the answers for the question
HELP ME GUYS PLEASE!!! :)
Answer:
(10,-2)
Step-by-step explanation:
You can see that the first equation has already given as x-isolated equation aka x = 10.
With this, you can substitute x = 10 in the second equation 3x+5y = 20 then solve for y.
3(10)+5y=20
30+5y=20
Subtract both sides by 30.
5y=-10
Divide both sides by 5.
y=-2
So from x = 10 and y = -2, we can write as (10,-2) in coordinate form.
Answer:
(10,-2)
Step-by-step explanation:
since they already give u x, u can just sub it into the other equation
3(10)+5y=20
30+5y=20
5y=20-30
5y=-10
y=-2
Which congruence criteria is met in the following scenario?
ASA
SAS
HL
AAS
SSS
Answer:
B) SAS
Step-by-step explanation:
Explanation:
SAS = side angle side
The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".
The marked angles are congruent, and they refer to the "A" in "SAS".
Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".
Notice how the angles are between the sides mentioned. The order is important.
The graph of the function has slope of 1 and y-intercept of -6.
Answer:
y=1x-6
Step-by-step explanation:
y=mx+c
c = -6
m = 1
therefore
y= mx+c
y = 1x-6
Pls help me it’s due at 12:00
Step-by-step explanation:
# easy learning
good luck and god Blees
If my friend answers this question under 5 seconds he's a god
x = 9
Scale size is 3 so multiply all terms in ABC by 3.
Find the product
(-2) (7)
Answer:
-14
Step-by-step explanation:
Remember that a negative times a positive is negative:
(-2)(7) = -(2)(7) = -14
Solve the following inequality.
20 < 8
Answer:
x > 12/7
x > 1 5/7
Step-by-step explanation:
7x + 8 > 20
Subtract 8 from each side
7x+8-8 > 20-8
7x > 12
Divide each side by 7
7x/7 > 12/7
x > 12/7
Changing to a mixed number
x > 1 5/7