Answer:
c. y=x^2+2x-7
Step-by-step explanation:
A linear function has the highest power of 1 (x)
A quadratic has the highest power of 2 (x^2)
A cubic has the highest power of 3 ( x^2)
a. y=x+9 linear
b. y=2x-15 linear
c. y=x^2+2x-7 quadratic
d. y=x^3-x^2 cubic
Quadratic Function is the equation that takes form of:
[tex] \large \boxed{y = a {x}^{2} + bx + c}[/tex]
where a, b and c both are real number and a ≠ 0.
The first and second choices are linear equation because it's in the form of y = mx+b.
The last choice is a cubic equation since it has the third degree x³.
Remember that the quadratic equation can be ax²+bx+c = 0 or y = ax²+bx+c only.
Answer
y = x²+2x-7please help explain it step by step
Answer:
452 m
Step-by-step explanation:
There is a geometrical relation that arc of circle is equal to the central angle.
And there is another relation that arc of a circle is equal to (radius *arc)
Aren't these two relation conflicting?
IT ISNT THE 1st OR 2nd HELP LOOK AT IMAGE PLEASE
Answer:
Last option
Step-by-step explanation:
First method :
Red Line:
Take 2 coordinates through which the line passes. Let it be (0, 7) and (14, 0).
[tex]slope, m=\frac{ 0-7}{14-0} = -\frac{7}{14} = -\frac{1}{2}[/tex]
[tex]Equation : (y - 7) = -\frac{1}{2}(x)[/tex]
[tex]2y - 14 = -x\\2y + x = 14\\4y + 2x = 28[/tex] [tex][ multiply \ by \ 2 \ on \ both \ sides][/tex]
Blue Line:
Take coordinates through which the line passes.
Let it be (-4, -12) and (-10, -9).
[tex]slope, m = \frac{-9 + 14}{-10} = \frac{5}{-10} = -\frac{1}{2}[/tex]
[tex]equation : (y + 12) = -\frac{1}{2} (x+4)\\[/tex]
[tex]y = -\frac{1}{2}x - 2 - 12\\\\y = -\frac{1}{2}x -14\\\\2y = -x - 28\\\\-2y = x +28[/tex]
Second Method:
From the graph it is clear the lines are parallel. The slopes of line parallel to each other are equal. So convert each equation into standard line equation form :y = mx + b
And check for set of equation whose slope are same.
First set :
[tex]y = 10x - 15 \\\\=> slope = 10\\\\-9x + 2y = 10\\2y = 9x + 10\\\\y = \frac{9}{2}x + 5 => slope = \frac{9}{2}[/tex]
Slopes are not equal.
Second set :
[tex]2y = 2x + 5\\y = x + \frac{5}{2}\\slope = 1\\\\\\3x -4y = -5\\4y = 3x + 5\\\\\y = \frac{3}{4}x + \frac{5}{4}\\\\slope = \frac{3}{4}[/tex]
Slopes are not equal.
Third set :
[tex]y = 3x +10 \\slope = 3\\\\\\2x - 3y = -6\\3y = 2x +6\\\\y = \frac{2}{3}x + 2\\\\slope = \frac{2}{3}[/tex]
Slopes are not equal.
Fourth set :
[tex]2x + 4y = 28\\4y = -2x +28\\\\y = -\frac{1}{2}x + 7\\\\slope = -\frac{1}{2}\\\\\\-2y = x + 28\\\\y = -\frac{1}{2}x - 14\\\\slope = -\frac{1}{2}[/tex]
Slopes are same.
SOMEONE PLEASE PLEASE HELP ME WITH THIS THANK YOU
You can transform ⨀Z to ⨀Z' by translating it and then performing a dilation centered at Z'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
EXPLANATION = BRAINLIEST
Answer and Step-by-step explanation:
Scale factor of 4
x, y: (3, 10)
Translate 3 units right, up 10 units.
#teamtrese #PAW (Plant aNd Water)
for a family with 6 children what is the probability that they have exactly one boy and 5 girls
Answer:
Ok so the probability would be 16%(can be round to)
Step-by-step explanation:
Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?
x2 + y2 + 4x + 6y – 51 = 0
x² + y² – 4x – 6y – 51 = 0
x2 + y2 + 4x + 6y – 3 = 0
x2 + y2 – 4x – 6y – 3 = 0
The equation for the given circle is:
[tex]x^2 + y^2 + 4x + 6y - 3 = 0[/tex]
How to get the equation of the circle?
Remember that for a circle whose center is (a, b) and has a radius r, the equation is:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
In this case, the center is (-2, -3) and the diameter is 8 units, so the radius is r = 4.
Then the equation is:
[tex](x + 2)^2 + (y + 3)^2 = 4^2[/tex]
Expanding the squares we get:
[tex](x^2 + 2*2*x + 4) + (y^2 + 2*3*y + 3^2) = 16\\\\x^2 + y^2 + 4x + 6y + 4 + 9 - 16 = 0\\\\x^2 + y^2 + 4x + 6y - 3 = 0[/tex]
So the correct option is the third one.
If you want to learn more about circles:
https://brainly.com/question/1559324
#SPJ2
What is the length of AC?
A.72
B.96
C.136
D.132
Answer:
The answer is 136 .
Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.
If necessary, you may learn what the markings on a figure indicate.
I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
What is the area and perimeter of square
Answer:
The answer is A
Step-by-step explanation:
This I because the area of a square is =
(length of on side)² = l²
The options there are not perfect squarss except A
which is 64 in²
And we know that 8² will give you 64
so then it means one side is 8 in
So the area =
8² = 8 in × 8 in = 64 in²
Help ASAP please how can I solve this please due at 12:30 need helps
Answer:
a) C = 75n +60
b) see graph
c) 210
Step-by-step explanation:
75 n -C + 60 = 0
Add C to each side
75 n -C + 60 + C = 0+C
75 n + 60 = C
Rewritng
C = 75n +60
This is in slope intercept form where y = mx+b
75 = m and 60 =b
See the graph
The slope is 75 and the y intercept is (0,60)
The scale is 1 on the n axis ( time) and 100 on the C axis (cost)
Let n be two hours
Cost = 75(2) +60
=150 +60
=210
6) What is the mean (average) of this set of
data:
3 4 6 7 10 15 19 21
Answer:
59
Step-by-step explanation:
Answer:
The mean of this data set is 10.6
Step-by-step explanation:
To find the Mean of a data set, you add up all the values and then divide by the number of values.
3 + 4 + 6 + 7 + 10 + 15 + 19 + 21 = 85
This data set has 8 values.
85 ÷ 8 = 10.6
John starts on the ground floor of a building. He runs up five flights of stairs, then runs
up 6 flights of stairs, then runs down 8 flights of stairs, then runs up four flights of stairs,
and then stops. Each story of the building is 11 feet high. How many feet above the
ground is John when he stops? PLS HELP
Answer:
77 feet above the ground.
Step-by-step explanation:
After going up 11 flights, (5 +6), he goes down 8, which brings you to 3 and then back up to 7 (3 +4). Since each story is 11 feet high, you multiply 7 and 11, to get a total of 77.
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
someone please help me
Answer:
a. 15%
b. .73
c. 39/100, .39
d. .04, 4%
e. 77/100, 77%
f. 46/100, .46
g. .5, 50%
h. 6/100, 6%
i. 80/100, .8
j. .26, 26%
Step-by-step explanation:
Let's do the Fraction to Percent part first. Since all of the fractions have 100 in the denominator, this should be easy. The first one is 15/100 so this is just 15%, the next one is 73/100 and you can see that it is just 73%. It is the same way going from Percent to Fraction. On part f, we have 46%, so this will be 46/100.
For decimals, I recommend getting the percent first. I will use part f as my example again. You start with 46%. To make this a decimal, you just move the decimal point two spaces to the left. So, you end up with 0.46. To go from decimal to percent, you just move the point 2 spaces to the right.
What is the value of x?
26°
オー
X=
[?]
Enter
Answer:
154 degrees
Step-by-step explanation:
A quadrilateral has the sum of the interior angles that is 360 degrees
for the tangent theorem we know that the angles where the lines intercept the circumference have a value of 90 degrees
x + 90 + 90 + 26 = 360
x + 206 = 360
x = 360 - 206
x = 154 degrees
Type the missing number in this sequence: 1, 10, 100, 1,000, 10,000,
Answer:
100,000
Step-by-step explanation:
I'm pretty sure. hope this helped <3 also I LOVE UR PFP ;)
To simplify 8.3 − 4
1
5
( 6.1 +
1
2
) , which operation must be performed first?
Answer:
the question in the parenthesis
Step-by-step explanation:
because thats how the order of operations work
can someone help me match these too?
ANSWER:
A is number 3
B is number 2
Step-by-step explanation:
The left side is A and B (order)
the right side is 1,2,3,4 (order)
explanation: A is number 3 because as said in A the tram already has 5 people which is what we start with a1 = 5 and we add 11 at each stop as shown in the equation.
B is number 2 for the same reason as it started with 2 but added 4 inches of rain each time.
PLEASE HELP MEEEEEE PLEASE I need HELP. thank you I love you
Answer:
b
Step-by-step explanation:
<ABC refers just to angle B. Angle B is on the opposite side of 98 therefore we would have to divide it by two. 98 divided by 2 is 49
Someone pls answer #3 and 4
Will reward brainliest to the first most accurate answer ASAP.
Answer:
hiii my pic lol (✿^‿^)(✿^‿^)(✿^‿^)(✿^‿^)
Part A
Find the formula for the corresponding inverse function g(x).
Part B
Select all of the points that would appear on the graph of y = g(x).
1. A
2. B
3. C
4. D
5. E
6. F
which shape has no lines of symmetry, four unequal sides, two right angles and one pair of parallel lines?
Answer:
circle and two lines that don't touch and are the same length are parrarell
During a game, a spinner landed on several different colors,
yellow
6
red
3
purple
2
green
12
-blue
3
Considering this data, how many of the next 13 spins should you expect to land on purple?
spins
2/26 that is the answer ok now peace
HELP ASAP 50 POINTS What is the equation of a circle with a diameter with endpoints (5,2) and (3,-4)
Answer: I believe it's (x-1) 2+(y-1) 2=13
Kendra can see the top of her apartment building reflected in a small fish pond in a park across the street. She is standing 2 m from the pond, and the distance from the pond to the apartment building is 40 m. If Kendra's eyes are 150 cm above the ground, how tall is the apartment building?
Answer:
Step-by-step explanation:
According to problem description, we have two triangles
The first one: the fish pond and feet and eyes of Kendra
The second one the fish pond and the side wall of the apartment
These two triangles have angle α as common angle and its tan
tan α = 1.5/ 2 = x/ 40 then note : 150 cm = 1.5 m
1.5/ 2 = x/ 40
x = 40 * 1.5 / 2
x = 30 m
Please help thanks!
Answer:
5
Step-by-step explanation:
=14 + 6^2 ÷ (-4)
=14 + 36 ÷ (-4)
divide 36 by -4
=14 + (-9)
=14 - 9
=5
If point P is Nine-elevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?
9:2
9:9
9:11
9:13
Given:
Point P is Nine-elevenths of the distance from M to N.
To find:
The ratio in which point P partition the directed line segment from M to N.
Solution:
It is given that, point P is Nine-elevenths of the distance from M to N. So,
[tex]\dfrac{MP}{MN}=\dfrac{9}{11}[/tex]
It can be written as
[tex]\dfrac{MP}{MN}=\dfrac{9}{11}[/tex]
Let the lengths of MP and MN are 9x and 11x respectively. Then,
[tex]PN=MN-MP[/tex]
[tex]PN=11x-9x[/tex]
[tex]PN=2x[/tex]
Now,
[tex]\dfrac{MP}{PN}=\dfrac{9x}{2x}[/tex]
[tex]\dfrac{MP}{PN}=\dfrac{9}{2}[/tex]
[tex]\dfrac{MP}{PN}=9:2[/tex]
It means, point P divides the line segment MN in 9:2.
Therefore, the correct option is A.
Answer:
A . on E D G E
Step-by-step explanation:
trust
Leticia places a 10 foot ladder against a wall at a 70° with the
ground. Determine how far the base of the ladder is from the
wall.
O 3.42 feet
0 27.47 feet
O 9.4 feet
29.24 feet
none of these
Answer:
To solve this problem you must apply the procedure shown below:
1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.
2. Therefore, you have:
Sinα=opposite/hypotenuse
α=70°
opposite=x
hypotenuse=10
3. When you substitute the values, you obtain:
Sin(70°)=x/10
4. Now, solve for x, as following:
x=(10)(Sin(70°)
x=9.39 feet
Therefore, the answer is: 9.39 feet.
Step-by-step explanation:
PLEASE HELP ME: Click on the graph to choose the correct answer to the equation.
x - 2y < 0
(Choose one of the graphs from the image as the answer)
It's the third one I believe. y>1/2x
plzz helpp all of this is due today :(
Answer: square root property
Step-by-step explanation:trust me