Answer:
m = -2
Step-by-step explanation:
Use the slope intercept formula y = mx + b
You would switch the order to get y = -2x + 4 to get it in the correct format.
You can then see that -2 is the slope based off the slope intercept formula
(b = y intercept)
(m = slope)
Please help solve for a in the equation in the photo
[tex]\huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: g=a(4− {d}^{2} )[/tex]
[tex]\huge\bf Solution:—[/tex]
[tex] \underline{\bf \: Flip \: the \: equation:—}[/tex]
[tex] \sf \longmapsto \: −a {d}^{2} +4a=g[/tex]
[tex] \underline{\bf \: Factor \: out \: variable \: (a):—}[/tex]
[tex] \sf \longmapsto \: a(− {d}^{2} +4)=g[/tex]
[tex]\underline{ \bf \: Divide \: both \: sides \: by -d^2+4 :—} [/tex]
[tex]\sf \longmapsto \: \dfrac{a( - {d}^{2} + 4) }{ { - d ^2+ 4}^{} } = \dfrac{g}{{ - d ^2+ 4}^{}} [/tex]
[tex]\sf \longmapsto \:1 a = \dfrac{g}{{ - d^2 + 4}^{}} [/tex]
[tex]\underline{\bf Answer:—}[/tex]
[tex]\boxed{ \bf \: a = \dfrac{g}{ - d^2 + {4}^{} } }[/tex]
Answer:
[tex]\boxed{\boxed{\sf a=\cfrac{G}{4-d^2} }}[/tex]
Step-by-step explanation:
[tex]\sf G=a(4-d^2)[/tex]
Use the Distributive Property to multiply a by (4-d^2):
[tex]\sf G=4a-ad^2[/tex]
Now, we'll swap sides so that all variable terms are on the left hand side.
[tex]\sf 4a-ad^2=G[/tex]
Combine like terms:
[tex]\sf (4-d^2)\:a =G[/tex]
Divide both sides by 4-d^2:
[tex]\sf \cfrac{(4-d^2)a}{4-d^2} =\cfrac{G}{4-d^2}[/tex]
Dividing by 4-d^2 undoes the multiplication by 4-d^2.
[tex]\sf a=\cfrac{G}{4-d^2}[/tex]
_______________________________________
A group hiked 3 7/10 miles on the Blue Trail and then 4 3/4 miles on the White Trail. What is the total distance the group hiked?
Answer:
8 9/20
Step-by-step explanation:
Just add them which would give you 169/20 and then simplify it which would be 8 9/20.
A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 48.2 feet tall. Which equation
could be used to find x, the average number of feet the tree grew each month?
Answer:
Use the equation for Average Rate of Change which will give you 2.7 feet per month
Step-by-step explanation:
The equation is:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now insert your values:
[tex]\frac{48.2-5}{16-0}[/tex]
The answer is: 2.7 feet per month
Step-by-step explanation:
how much did it grow per month ?
well, it grew from 5 to 48.2 ft in 16 months.
that means it grew 48.2 - 5 = 43.2 ft.
per month that is 43.2/16 = 2.6875 ft per month.
so, the equation would look like
x = (48.2 - 5)/16
Hep help help help help math math
Answer:
5(37)+10
10(17.5)+5
Step-by-step explanation:
5x+10=180
-10 -10
5x=170
divide by 5
x=37
---------------------
10x+5=180
-5 -5
10x=175
divide by 10
x=17.5
Answer as soon as possible I’ll give 5 stars!!!
Answer:
B
Step-by-step explanation:
2 times x is 2x
2*8=16
its B
Hey there!
2(x + 8)
DISTRIBUTE 2 WITHIN THE PARENTHESES
= 2(x) + 2(8)
= 2x + 16
Therefore, your answer should be: 2x + 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Help help math please I don’t understand
Answer:
45°
Step-by-step explanation:
it's a mirror angle to the known angle
Integrate:Cos 7x/(1+sin**2(7x))
Answer:
7x/1+7sin(2)x
Step-by-step explanation:
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:
x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1
The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
m is the rate of change:b is the interceptGete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
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What is the vertical shift for the absolute value function below. Explain how you know using complete sentences. Include the direction and number of units of the shift. f(x)=9|x+1|+2
The vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up
The absolute function is given as:
[tex]f(x) = 9|x + 1| + 2[/tex]
An absolute function is represented as:
[tex]f(x) = a|x - h| + k[/tex]
Where k represents the vertical shift.
By comparison, the value of k is:
[tex]k = 2[/tex]
This means that the vertical shift is 2 units
Hence, the vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up
Read more about absolute value function at:
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Quadratic functions 30pt
Answer:
y= -x -3
Step-by-step explanation:
A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).
Let's find the slope of the line segment.
\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }slope=x1−x2y1−y2
Slope of line segment
= \frac{4 - ( - 8)}{5 - ( - 7)}=5−(−7)4−(−8)
= \frac{4 + 8}{5 + 7}=5+74+8
= \frac{12}{12}=1212
= 1
The product of the slopes of 2 perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
m(1)= -1
m= -1
y= -x +c
To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.
Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.
\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}midpoint=(2x1+x2,2y1+y2)
Midpoint of line segment
= ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )=(25−7,24−8)
= ( \frac{ - 2}{2} , \frac{ - 4}{2} )=(2−2,2−4)
= (-1, -2)
y= -x +c
When x= -1, y= -2,
-2= -(-1) +c
-2= 1 +c
c= -2 -1
c= -3
Thus, the equation of the perpendicular bisector is y= -x -3.
Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.
Answer:
Positive correlation.Step-by-step explanation:
From the graph we can see overall increasing trend.
It means there is a positive correlation.
The meaning of this is the more time you spend on study the better test score you get.
Answer:
Negative correlation
Step-by-step explanation:
As TV hours increase, exercise
hours decrease.
A pirate was digging a hole on an island to bury his treasure. If he is able to dig a hole into the sand at 2 feet per minute, what integer would represent how deep the would be after 7 minutes?
Answer:
2(7) = 14 ft.
Step-by-step explanation:
That pirate must be a beast! or have an excavator.
What’s the formula for the series -5,10,-20,40
Answer:
Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:
Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:
[tex]\left \{ {{a_0=-5} \atop {a_{n+1}=-2a_n}} \right.[/tex]
Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:
[tex]a_n=-5 (-2)^n[/tex]
Either work, depending on what you need to use it for.
The ages of the students in a statistics class are listed below. If the 18-year-old student has a birthday and turns 19, how will it affect the mean and median ages of the class?
Ages: 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18
A
Both the mean age and the median age will increase.
B
The mean age will increase, and the median age will remain the same.
C
The mean age will remain the same, and the median age will increase.
D
The mean age will remain the same, and the median age will decrease.
The mean age will increase, and the median age will remain the same.
Option B is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Ages:
14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18
The mean of the ages.
= (14 + 15 + 15 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 17 + 18) / 13
= 211/13
= 16.23
The median of the ages.
= 16
Now,
18 becomes 19.
14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 19.
Mean = 212/13 = 16.3
Median = 16
Thus,
The mean age is increased.
The median is the same.
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help pls mwah <3 i also give brainliest
Answer:
i think it is 0.7 correct me if i am wrong i am in the 6th grade
Step-by-step explanation:
Answer:
y=3/4x
Step-by-step explanation:
From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.
Hope that helps
A middle school had a school spirit day. In one class the ratio of students who wore school colors to the number of students who didn’t was 8 to 5. Ten students didn’t wear school colors
Answer:
Step-by-step explanation:
please help ill mark brainliestO
Answer:
AA, SAS, SSS
Step-by-step explanation:
These three theorems can be used to find similar triangles.
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Step-by-step explanation:
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Using your research, complete the graphic organizer below. Write 2–3 complete sentences for each
answer, and provide reasoning for your choices.
What resource would you use if you had any health-related questions or concerns?
What resource would you use if you needed health advice quickly?
Student Guide (continued)
Which resource do you think is the most useful and helpful?
Which resource do you think is the most credible?
Answer:
the discussion leader will moderate the discussion.
MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of
cleaning.
x ll y
5 ll 108
10 ll 88
15 ll 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.
b. How much cleaner is in the tank when the cleaning begins?
C. After how many minutes is the tank empty?
Answer:
a. Write an equation that represents the amount of cleaner in the tank after x minutes
y= -4x + 128
b. How much cleaner is in the tank when the cleaning begins?
128
c. After how many minutes is the tank empty?
The tank is empty in 32 minutes
Which function has a greater rate of change?
Answer:
A
Step-by-step explanation:
Because
Answer:
Step-by-step explanation:
it’s a
Judith is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 16 stuffed cats and 8 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Judith can place her stuffed animals into?
Answer:iojoenckcnurmum
Step-by-step explanation:
PLEASE HELP ME!!!
Which expression has a value of 8?
a: 10−(−2)
b: (−10)−(−2)
c:(−2)−(−10)
d: (−2)−10
Answer:
c:(-2)-(-10)
Step-by-step explanation:
When two minus symbols are next to each other in an expression, they become a plus sign.
a: 10-(-2)
10+2
12
b: (-10)-(-2)
-10+2
-8
c: (-2)-(-10)
-2+10
8
d: (-2)-10
-12
C.
-2 - -10= 8
The negative stays the same. The two dashes in between 2 and 10 become pluses.
10 - 2 = 8
The bigger number positive or negative is the dominant passing down their + or - to the value.
x(5)+2=244
help pls
(^_^)
Simplify both sides of the equation
5x+2=244Subtract 2 from both sides
5x+2−2=244−25x=242Divide both sides by 5
[tex] \frac{5x}{5} = \frac{242}{5} [/tex]
Answer[tex] \: x = \dfrac{242}{5} [/tex]
OR
[tex] \: x = 48.4 [/tex]
The solution to the given problem is:
48.4To find the value of x, one would have to spread out the terms.
5x+2 = 244
Then we would make x the subject formula
5x= 244-2
5x=242
Divide both sides by 5 (value of x)
x= 242/5
Therefore, the value of x is 48. 4
Read more about algebra here:
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At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after
w
w weeks
Answer:
A=15 inches. B=h=5+2.5w inches
Step-by-step explanation:
Our starting height is 5 inches.
It grew at a constant rate of 2.5 inches per week.
A. How tall after 4 weeks?
Well, we can solve by making an equation.
height=5inches+2.5(x)
In this situation, x is 4.
Height will be 15 inches.
B. This is just asking for the equation.
We already did that in part a!
We just need to switch x out with w.
h=5+2.5w
help me please I'm stuck on this question!!!!
Answer:
1: 2.8
Step-by-step explanation:
15:42
Divide each side by 15
15/15 : 42/15
1: 2.8
I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.
3. How many times did Katrina run 1 mile?
Answer:
Katrina ran 1 mile 3 times! I hope this helps you!
squared root of -100 = ____ + ____^i
Step-by-step explanation:
thats way of multiplication not 56
Answer:
√−100 = 0 + 10 i
Step-by-step explanation:
A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 364 gallons?
Answer:
Step-by-step explanation:
Let x be gallons of 7%
Let y be gallons of 3%
364 = x + y
y = 364 - x
364(0.06) = x(0.07) + y(0.03)
364(6) = x(7) + y(3)
364(6) = 7x + 3y
364(6) = 7x + 3(364 - x)
364(6 - 3) = 7x - 3x
364(3) = 4x
x = 273
y = 364 - 273 = 91
273 gallons of 7%
91 gallons of 3%
Simplify the expression 7h+(−8.3d)−13+6d−2.9h.
Answer:−2.3d+4.1h−13
Step-by-step explanation: