Hi there!
[tex]\large\boxed{\text{Average rate} = 2}[/tex]
Use the following equation to solve:
[tex]\text{Average rate} = \frac{f(x_{2}) - f(x_{1})}{x_{2} - x_{1}}[/tex]
Solve for the y-values of the equation at the given x values:
f(1) = 1² - 4(1) + 10 = 7
f(5) = 5² - 4(5) + 10 = 15
Plug the solved values into the equation:
[tex]\text{Average rate} = \frac{15 - 7}{5-1}[/tex]
Simplify:
[tex]\text{Average rate} = \frac{8}{4} = 2[/tex]
two angles are supplementary. the measure of the larger angle is 4 times more greater than the measure of the smaller angle what is the measure of the smaller angle
Answer:
36°
Step-by-step explanation:
Let the measure of the smaller angle be x and the larger angle be 4x.
Complementary angles add up to 180°.
Smaller angle + Bigger angle = 180°
x + 4x = 180°
5x = 180°
x = 180° ÷ 5
x = 36°
Smaller angle = 36°
Find the length segment AB if A(-1,7) and B(11,-1) (Round to 1 decimal place)
Pleaseee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
NEED HELP ASAP, WILL GIVE BRAINLIEST
The equation, –2x2 + 5xy – 7y2 + 9x – 7y + 13 = 0, represents a conic.
What is the discriminant?
A) -51
B)-31
C)0
D) 11
What does the equation represents?
A) ellipse
B) parabola
C) hyperbola
9514 1404 393
Answer:
B) -31
A) ellipse
Step-by-step explanation:
In the form ...
Ax² +Bxy +Cy² +Dx +Ey +F = 0
The discriminant is ...
B² -4AC
The interpretation is ...
< 0 ⇒ ellipse, possibly a circle= 0 ⇒ parabola> 0 ⇒ hyperbolaAny of the figures may be degenerate.
__
Here, the discriminant is ...
5² -4(-2)(-7) = -31
The equation represents an ellipse.
factor completely 48v + 56
Answer:
104v
Step-by-step explanation:
A math class has 14 female students. Out of 24 total students, what is the probability what is the probability of randomly selecting a male student? **Reduce/Simplify**
Answer:
[tex] \frac{5}{12} [/tex]
Step-by-step explanation:
[tex]P(male \: student) \\ = \frac{number \: of \: male \: students}{total \: number \: of \: students} \\ = \frac{24 - 14}{24} \\ = \frac{10}{24} \\ = \frac{5}{12} [/tex]
Alternatively,
P(male student)
= P(not female)
= 1 -P(female)
[tex] = 1 - \frac{14}{24} \\ = 1 - \frac{7}{12} \\ = \frac{5}{12} [/tex]
☆P(event) is the probability of an event happening. The probability of an event not happening is 1 - probability of the event happening.
what's 10cm in depth
Answer:
10 cm is equivalent to 3,937007874 inches.
Step-by-step explanation:
|3c-3|>6
please help
An ice skater skates completely around the two circles shown in the diagram. Each circle has a diameter of 20 meters. What is the approximate total distance skated by the ice skater? Use 3.14 for π . Round your answer to the nearest meter.
A) 628 meters
B) 251 meters
C) 126 meters
D) 63 meters
The solution is Option C.
The total distance skated by the ice skater is 126 meters
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
Given data ,
Let the distance traveled by the skater be = D
Let the diameter of the circle A be = 20m
Let the diameter of the circle B be = 20m
So , the radius of circle A = 10 m
The radius of circle B = 10 m
Now , the value of π = 3.14
So , the distance traveled by the skater = perimeter of circle A + perimeter of circle B
Perimeter of Circle A = 2πr
Substituting the values in the equation , we get
Perimeter of Circle A = 2 x 3.14 x 10
Perimeter of Circle A = 62.8 m
And ,
Perimeter of Circle B = 2πr
Perimeter of Circle B = 2 x 3.14 x 10
Perimeter of Circle B = 62.8 m
Therefore , the distance traveled by the skater = Perimeter of Circle A + Perimeter of Circle B
Substituting the values in the equation , we get
The distance traveled by the skater = 2 x 62.8
The distance traveled by the skater = 125.6 meters
The distance traveled by the skater = 126 meters
Therefore , the value of D is 126 meters
Hence , The total distance skated by the ice skater is 126 meters
To learn more about circle click :
https://brainly.com/question/28391204
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Factorise x^2 -x- 6 please
Answer:
This expression can has the factors (x - 3) and (x + 2).
Step-by-step explanation:
[tex]x^2 - x - 6\\= x^2 - 3x + 2x - 6\\= (x - 3)(x + 2)[/tex]
Helppppppppp I’m sooo stuck
Answer:
30%
Step-by-step explanation:
If you take 50% out of 100%, then taking the 3 (England) and multiplying it by 10 (for %), it would be 30% (and then Scotland would be 20%).
Hope this helps, happy holidays and have a great day!
Answer:
30% of them are England. and 20 for scotland just in case
what shape is this.. quadrilateral
Trapezoid
Rhombus
Parallelogram
If you can answer this question you'll get brainliest.
Each base in this oblique prism is a right triangle. What is the volume of the figure?
Answer:
Volume = 66 cm³
Step-by-step explanation:
Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base
From the figure attached,
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height of the right triangle})[/tex]
= [tex]\frac{1}{2}(3)(4)[/tex]
= 6 cm²
Vertical height of the given oblique prism = 11 cm
Volume of the given oblique prism = 6 × 11
= 66 cm³
Answer:
66!!
Step-by-step explanation:
The guy/girl below or above me is RIGHT!!!
Mr. Case is placing boxes along one of the walls in his attic. If the wall is 11 1⁄3 feet long and each box is 2 1/2 feet long, how many boxes can he fit along the
Answer:
4 8/15 boxes
Step-by-step explanation:
From the above question:
2 1/2 feet = 1 box
11 1/3 feet = x boxes
Cross Multiply
2 1/2 feet × x = 11 1/3 feet × 1 box
x boxes = 11 1/3 /2 1/2
x boxes = 34/3 ÷ 5/2
x = 34/3 ×2/5
x = 68/15
x = 4 8/15 boxes
Hence, he can fit 4 8/15 boxes
A system of equations is shown below. y = x 2+ 2x + 8 y = – 4x What is the smallest value of y in the solution set of the system?
Answer:
I think 2+-1x+9y
Step-by-step explanation:
Just add the numbers that have the same variables
Answer:
8
Step-by-step explanation:
smallest makes sense
A person is on a boat that is traveling at the boat's top speed of 70 knots per hour. Using dimensional analysis with the fact that 1.15 miles = 1 knot, how many miles per hour is the boat traveling?
50 points!!!! Please solve honestly or be reported TYYYY!!!
Answer:3y/(4y+6)-6y/(2y+3)
3y(2(2y+3))-6y/(2y+3)
(3y-6×2y)/(2(2y+3))
-9y/4y+6
1.st one is your answer. hope this helps
WILL MARK YOU BRAINLIEST HELP ASAP
Answer:
A. and B.
Plz brainlest me!!!!!!!!! XD
Step-by-step explanation:
I just need help with similarity ratios. I don't understand how you get the ratios.
i dont know how to write this in a slope intercept form
Find the value of f(-6).
FIND THE SLOPE OF ALL + y-intercept TO BE MARKED BRAINLIEST 1) y=-1/2x-1 2) y=5/2x-5 3)y=-7/4x-5 4)y3/2x-1 5)y=x+4 6)y=-1/5x+2 7)y2/5x-1 8)y-5/4x+5 9)y=1/2x+3 10)y=2x-5 11)y=-3x-1 12) y=-4x 13)y=-3/5x 14) y=3x+5 15)-9+6x=3y 16)-2x=y-1
Answer:
5
Step-by-step explanation:
i had this question
Sam has $120 and Peter has 30% of this money. How much money does Peter have?.
Answer:
$36
Step-by-step explanation:
Find the next term of the sequence.
24, 17, 10, 3, ...
-7
0
-4
-5
Answer:
Already answered but oh well
It's -4
What is the solution to the system below?
−4x+5y=27
x−6y=−2
Answer:
(-8,-1)
Step-by-step explanation:
Which list shows the numbers in order from least value to greatest value
A hummingbird lives in a nest that is 9 meters high in a tree. The hummingbird flies 9.4 meters to get from its nest to a flower on the ground. How far is the flower from the base of the tree?
Answer: Distance of flower from the base of the tree = 0.4 meters
Step-by-step explanation:
Given: A hummingbird lives in a nest that is 9 meters high in a tree. The hummingbird flies 9.4 meters to get from its nest to a flower on the ground.
Distance of flower from the base of the tree = 9.4 meters - 9 meters
= 0.4 meters
Hence, Distance of flower from the base of the tree = 0.4 meters
Mm what expression is equivalent to this
Answer:
B. x^2/3
Step-by-step explanation:
When you see exponents inside and outside the parentheses like that, you multiply them.
4/3 x 1/3 = 4/9
2/3 x 1/3 =2/9
4/9 - 2/9 = 6/9
6/9 reduced is 2/3.
Answer:
B: x^2/3
Step-by-step explanation:
Firs add the 4/3 and the 2/3 to get 6/3 which is 2 and then divide it by 3 which is 2/3. so it is x^2/3
Geometry... Please help and I'll mark brainliest if I can. Triangle proofs & reasons
Answer:
I think you just figure out what two points make the area? i dont know tho
Step-by-step explanation:
what is 5136 ÷ 160 in long division
Answer:
0 0 3 2
1 6 0 / 5 1 3 6
− 0___________
5__ 1_______
− ____ 0______
5 1 3
− 4 8 0____
3 3 6
− 3 2 0_
1 6
Step-by-step explanation:
If it looks weird i'm sorry
