Step-by-step explanation:
not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).
I assume, we have the following points :
(-6, 1.5) (-3, 3)
(-3, 2) (1, 2)
(1, 1) (6, -9)
all 3 segments are lines with the basic function definition
y = ax + b
a is the slope of the line function and is always the factor of x.
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
b is the y-intercept (the y value when x = 0).
the first segment goes from (-6, 1.5) to (-3, 3).
x changes by +3 units (from -6 to -3).
y changes by +1.5 or 3/2 units (from 1.5 to 3).
the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2
giving us the first part
y = (1/2)x + b
b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :
3 = (1/2)×-3 + b
3 = -3/2 + b
6/2 + 3/2 = b
9/2 = b
the full equation is
y = (1/2)x + 9/2 = (x + 9)/2
the second segment is a flat, horizontal line and is simply
y = 2
the third segment goes from (1, 1) to (6, -9) :
x changes by +5 units (from 1 to 6).
y changes by -10 units (from 1 to -9).
the slope of the line is -10/5 = -2
giving us the first part
y = -2x + b
b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :
1 = -2×1 + b
1 = -2 + b
3 = b
the full equation is
y = -2x + 3
The answer is in the pic below!
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answer:
answer is the number 5
Step-by-step explanation:
First you square root 9 which is 3. Then u 3-1= 2. then u times 2 by 6 which equals = 12. Then minus 7 from this number. 12-7=5 ur number is 5.
solve pls brainliest
Answer:
5/2
Step-by-step explanation:
please mark me brainiest
1/10 = 10%
a percent is
[tex] \frac{part}{whole} = \frac{x}{100} [/tex]
If u take 1/10, 10 is one tenth of 100 (10*10=100).
Find the value of f(-3)f(−3).
A stadium has 10,500 seat and 8 vip boxess The is divied into 12 equalbsections 2 premuin sections and 10 standred sestion A seat at the premiun sections coast $45 per game.A seat at the standrad sections coast $27 peer game.How many seatsb are there in each section
Answer:
???????????????????????????????
Step-by-step explanation:
Help please i beg you helppp
Answer:
4.79 + 23.6
Try this, let me know if I'm wrong.
solve for g.
5.1g = 35.7
Answer:
g=7
Step-by-step explanation:
5.1 times 7 is 35.7
Answer:
Step-by-step explanation:
5.1g = 35.7
g = 35.7 / 5.1
= 7.
Which expression is equivalent? Thank you:)
Answer:
A
Step-by-step explanation:
because this is right
Make d the subjest of the formula h=d/3+2
Answer:
d = h x 3+2
Example
The formula h=d/3+2
h = 15
d = h x 3+2
d = 15 x 3+2
d = 15 x 5
d = 75
To check the answer is correct
h = 75/5
h = 15
100 POINTS ANSWER QUICK
A sphere has a diameter of 9 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
95.4 in³
381.5 in³
763.0 in²
3052.1 in³
Now
Volume=
4/3πr³4/3π(4.5)³121.5π381.5in³Option B
What is 20 dived by 5 +19-6
Answer:
17
Step-by-step explanation:
20 divided by 5 + 19 - 6
20 divided by 5 = 4
4 + 19 = 23
23 - 6 = 17
Business Math I need help with fraction word problems.
Answer:
which kind?
Step-by-step explanation:
A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?
Step-by-step explanation:
4 1/2 = 9/2
so, the calculation is simply how often 3/4 fits into 9/2.
and that is done by division :
9/2 / 3/4
and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.
so,
9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6
so, without any breaks the teacher can schedule 6 lessons each night.
2. Using 50 for the number of weeks in a year is a(n) exponent
hundredths
overestimate
partial products
power
round
tenths
thousandths
underestimate
which one?
There are 52 weeks in a year.
Using 50 for the number of weeks in a year is a(n) round.
Rounding is a process which we approximate the known number by just scaling it up or down.
In rounding the numbers less than 5 are scaled to one number less than the given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .
For example if there were 55 or more than weeks in a year we can say there are approximately 60 weeks in a year.
But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.
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why does math included things we will never use
Answer:
To make students question their existence
Step-by-step explanation:
Plz help i don’t understand the question
Answer:
the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.
Step-by-step explanation:
hope I helped you! :D
can someone please help me please
Answer:
Letter b
Step-by-step explanation:
because it is
What is the center of the circle
2x^{2} +2y^{2}-4x+16y=128
A. (1, -2)
B. (1, 4)
C. (1, -4)
D. (-1, -2)
E. (-1, -4
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k)are the coordinates of the centre and r is the radius
Given
2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )
x² + y² - 2x + 8y = 64 ( collect x and y terms together )
x² - 2x + y² + 8y = 64
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16
(x - 1)² + (y + 4)² = 81 ← in standard form
with centre = (h, k ) = (1, - 4 ) → C
If Elena’s ice cream cost $1.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer: 3
Step-by-step explanation: toppings are 50 cents so 50 * 3 = $1.50
What is the measure of angle n°?
Answer this question
y is 5% more than 110:
y = 110 x 1.05 = 115.50
x = 5% less than y:
x = 0.95(115.50)
x = 109.725
i need help what is 7h+1−h+4?
Answer:
6h+5
Step-by-step explanation:
7h-h=6h
1+4=5
Hope this helps :)
Answer:
6h + 5 is the correct answer
Step-by-step explanation:
7h + 1 - h + 4
7h + 1 + 4 - h
7h + 5 - h
6h + 5
hope this helped!
mark me brainliest :D
If f(x)=6, what is x?
Answer:so: 6=6/5-x^3
6=6(5-x^3)
6=30-6x^3
-6x^3=6-30
-6x^3=-24
-6x^3+24=0
6x^3-24=0
6(x^3-4)=0
x^3-4=0
x^3=4
x=cube root 4
x=1.5874
Step-by-step explanation:
#16 i
MODELING REAL LIFE A public university charged $9200 for tuition and fees in the 2014-2015 academic year. This cost
increased at a constant rate and reached $10,900 in the 2019-2020 academic year. Estimate the cost of tuition and fees in the
2023-2024 academic year.
The tuition is an illustration of a linear function.
The cost of tuition and fees in the academic year 2023-2024, is $12260
Let the number of academic years after 2014-2015 academic year be x.
So, we have:
[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]
A linear function is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)
So, we have:
[tex]\mathbf{10900 = 5m + 9200}[/tex]
Subtract 9200 from both sides
[tex]\mathbf{1700 = 5m}[/tex]
Divide both sides by 5
[tex]\mathbf{340 = m}[/tex]
So, we have:
[tex]\mathbf{m =340 }[/tex]
The function becomes
[tex]\mathbf{y = mx + b}[/tex]
[tex]\mathbf{y = 340x + 9200}[/tex]
In the academic year 2023-2024, x = 9.
So, we have:
[tex]\mathbf{y = 340x + 9200}[/tex]
[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]
[tex]\mathbf{y = 3060 + 9200}[/tex]
[tex]\mathbf{y = 12260}[/tex]
Hence, the cost of tuition and fees is $12260
Read more about linear functions a:
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harry is x years old now. three years ago, jenny was twice harry's age. in three years time, ahmed will be five times as old as jenny. write an expression for ahmed's age now
Harry is x years old now.
Harry was x-3 years old three years ago.
Three years ago, Jenny was 2(x-3)=2x-6 years old.
Now, Jenny is 2x-6+3 years old.
In three years time, Jenny will be 2x-6+3+3=2x years old.
In three years time, Ahmed will be 5(2x)= 10x years old.
Hope this helped you-have a good day bro cya)
Jon performs the following calculation. (1) (2. 0) (3. 00) (4. 000). Which value from his calculation most strongly affects the number of significant figures in the answer? 1 2. 0 3. 00 4. 0.
Answer:
(a) 1
Step-by-step explanation:
The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).
1 most affects the number of significant digits in the answer
A plane is flying at an altitude of 6 km directly over the line AB. It spots two boats, A and B, on the sea.
If the angles of depression of A and B from the plane are 60° and 30° respectively, calculate the
horizontal distance between A and B.
B
6 km
6km
Step-by-step explanation:
altitude here is represent by height ok in this case...
if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...
and the information from the question just sun it into the tan formula...this is trigo...
then u add the value to get the total distance..
the answer is 13.87km
hope u understand...
help........................................................
Answer:
64 by 16 feet
Please help and no links :)
Answer:
sorry I don't know the answer
find two positive numbers A and B with A less than or equal to B whose sum is 52 and whose product is mazimized
Answer:
26 and 26
Step-by-step explanation:
Let's call the two numbers x and 52-x.
Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.
Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D
Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is the Triangle Sum Theorem?The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.
Given that y || z:
∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:
∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)
m∠LAM = 180° (def. of straight line angle)
Thus, using the angles addition theorem, we have:
∠1 + ∠2 + ∠3 = m∠LAM
∠1 + ∠2 + ∠3 = 180° (eqn. 2).
Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.
∠5 + ∠2 + ∠6 = 180° (substitution).
Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
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The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is Angle Sum Property?According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.
We have, y || z.
So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6 (Alternate Interior Angle)
Using Linear Pair
∠1 + ∠2 + ∠3 = m ∠LAM
∠1 + ∠2 + ∠3 = 180°
Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation
∠5 + ∠2 + ∠6 = 180° .
Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about Angle Sum Property here:
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