Answer:
the x-values of the relation are the y-values of the inverse.
omg help me please!!!!
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: y = negative 4 x squared
The values of a, b, and c are -4,0 and 0 and the parabola opens downward with y-intercept (0,0).
we have
y=-4x^2
What is the standard form of the quadratic equation?The quadratic equation in standard form is equal to
ax^2+bx+c=0
So,In this problem
a=-4, b=0 and c=0
The y-intercept is the value of y when the value of x is equal to zero
y=-4(0)^2=0
The y-intercept is the point (0,0)
The coefficient a is negative, therefore the parabola opens down.
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Pleased help asp
Please help asp
Please help asp
Please answer with everything needed i appreciate everyones help:))
Answer:
[tex]a = (h)(2h - 5)[/tex]
Answer:
Area of the rectangle = 2h² - 5
Step-by-step explanation:
• base length l = 5 less than twice the height h
= 2h - 5
• height = h
Area of rectangle = base × height
⇒ l × h
⇒ (2h - 5)(h)
⇒ 2h² - 5
The question "How many servers will be needed to reduce the waiting time of restaurant customers to less than 9 minutes?" is a type of
The question posed in the task content is a goal seeking analysis type of question.
How many servers will be needed to reduce the waiting time of restaurant customers to less than 9 minutes is a goal seeking analysis question.
Goal seeking analysisA goal seeking analysis question is a type of question which helps to determine the efficient and effective measure of achieving a goal either individually or in a group.
The question will help the manager of the restaurant to determine how many servers is needed in order to reduce the waiting time of customers.
Complete question:
The question "How many servers will be needed to reduce the waiting time of restaurant customers to less than 9 minutes?" is a type of
a. goal-seeking analysis.
b. what-if analysis.
c. sensitivity analysis.
d. utility modeling.
a. goal-seeking analysis.
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I will give Brainliest.
Answer:
m=months
clark= 10000-105m
lois= 7500-50m
10000-105m=7500-50m
+50m
10,000-55m=7500
-10000
-55m=-2500
simplify
55m=2500
divide by 55
m=45.45
so i would say b
Hope This Helps!!!
Find a in degrees.
a
6
√11
5
? ]°
Round to the nearest hundredth.
Answer:
33.55
Step-by-step explanation:
[tex]sin \alpha = \sqrt{11} \div 6 \\ [/tex][tex] \alpha = {sin}^{ - 1} 0.5527[/tex][tex] \alpha = 33.55[/tex]Answer:
α = 33.56° (nearest hundredth)
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta=\alpha[/tex]O = [tex]\sf \sqrt{11}[/tex]A = 5H = 6As all sides of the right triangle have been given, any of the trigonometric ratios can be used to find α.
Sine Ratio
[tex]\begin{aligned}\sf \sin(\alpha) & = \sf \dfrac{\sqrt{11}}{6}\\\implies \alpha & = \sf \sin^{-1}\left(\dfrac{\sqrt{11}}{6}\right) \\& = \sf 33.55730976...^{\circ}\end{aligned}[/tex]
Cosine Ratio
[tex]\begin{aligned}\sf \cos(\alpha) & =\sf \dfrac{5}{6}\\\implies \alpha & = \sf \cos^{-1}\left(\dfrac{5}{6}\right) \\& = \sf 33.55730976...^{\circ}\end{aligned}[/tex]
Tangent Ratio
[tex]\begin{aligned}\sf \tan(\alpha) & =\sf \dfrac{\sqrt{11}}{5}\\\implies \alpha & = \sf \tan^{-1}\left(\dfrac{\sqrt{11}}{5}\right) \\& = \sf 33.55730976...^{\circ}\end{aligned}[/tex]
Therefore, α = 33.56° (nearest hundredth)
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The value of an investment portfolio decreased by 8 % in 2010. In 2011, its value increased by 5% of
its value in 2010. Given that the value of the portfolio at the end of 2011 was $ 61 824, find its
original value.
Answer:
$63422.42
Step-by-step explanation:
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Which equation represents the line that is perpendicular to and passes through (-40,20)?
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
What is the Equation of Perpendicular Lines?The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
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if you anwser the question i give you brainly
The graph is in a reciprocal relationship with Option C
What is a Function ?A function is a mathematical statement used to relate a dependent and n independent variable.
The function is represented by the graph
The nature of the graph is exponential
and the equation is determined by the points on the graph
( 1,1) ( 2,4) '
The equation is
y = ( 1/4) 4ˣ
The inverse of the function will be found by replacing the y variable with x and vice versa and then solving to bring the function into the form of x.
x = ( 1/4) [tex]\rm 4^y[/tex]
Plotting this gives the answer as Option C
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math!!
PLEASE HELP!!
what is the angle indicated in the triangle below??
a) 46 degrees
b) 65°
c) 44°
d) 35°
e) 55°
f) 90°
Answer:
e) 55°
Step-by-step explanation:
use the tangente ratio
[tex]tan\alpha =\frac{10}{7} =1.42857[/tex]
[tex]angle(?)=tan^{-1} (1.42857)=55^{0}[/tex]
Hope this helps
Answer:
55 degrees (e)
Step-by-step explanation:
This is a trigonometry problem. We are given a right triangle with an unknown angle in which the opposite and adjacent sides of the angle are known (10 and 7). We also know that the tangent of any angle is the length of the opposite divided by the length of the adjacent. If we let the unknown angle be Ф, we can say that tan(Ф) = 10/7. To isolate Ф, all we have to do is take the inverse. In other words, Ф = arctan(10/7). Using a graphing calculator, we find that arctan(10/7) is approximately 55 degrees.
find f(-1) and find one value of x for which f(x)=0
[tex]f( - 1) = - 3[/tex]
[tex]f(x) = 0 \\ for \: x = 2 \: or \: x = - 2[/tex]
Find the vertex of the function given below.
y= 2x² + 8x+1
A. (-2,-7)
B. (-2,-1)
OC. (3,-4)
D. (1,7)
Answer:
A
Step-by-step explanation:
given a quadratic function in standard form
y = ax² + bx + c (a ≠ 0 ) then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 2x² + 8x + 1 ← is in standard form
with a = 2 , b = 8 , then
x = - [tex]\frac{8}{4}[/tex] = - 2
substitute x = - 2 into the equation for corresponding y- coordinate
y = 2(- 2)² + 8(- 2) + 1 = 2(4) - 16 + 1 = 8 - 16 + 1 = - 7
vertex = (- 2, - 7 )
Can someone help me with these 4 geometry questions? Pls it’s urgent, So ASAP!!!!
Question 4
1) [tex]\overline{BD}[/tex] bisects [tex]\angle ABC[/tex], [tex]\overline{EF} \perp \overline{AB}[/tex], and [tex]\overline{EG} \perp \overline{BC}[/tex] (given)
2) [tex]\angle FBE \cong \angle GBE[/tex] (an angle bisector splits an angle into two congruent parts)
3) [tex]\angle BFE[/tex] and [tex]\angle BGE[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\triangle BFE[/tex] and [tex]\triangle BGE[/tex] are right triangles (a triangle with a right angle is a right triangle)
5) [tex]\overline{BE} \cong \overline{BE}[/tex] (reflexive property)
6) [tex]\triangle BFE \cong \triangle BGE[/tex] (HA)
Question 5
1) [tex]\angle AXO[/tex] and [tex]\angle BYO[/tex] are right angles, [tex]\angle A \cong \angle B[/tex], [tex]O[/tex] is the midpoint of [tex]\overline{AB}[/tex] (given)
2) [tex]\triangle AXO[/tex] and [tex]\triangle BYO[/tex] are right triangles (a triangle with a right angle is a right triangle)
3) [tex]\overline{AO} \cong \overline{OB}[/tex] (a midpoint splits a segment into two congruent parts)
4) [tex]\triangle AXO \cong \triangle BYO[/tex] (HA)
5) [tex]\overline{OX} \cong \overline{OY}[/tex] (CPCTC)
Question 6
1) [tex]\angle B[/tex] and [tex]\angle D[/tex] are right angles, [tex]\overline{AC}[/tex] bisects [tex]\angle BAD[/tex] (given)
2) [tex]\overline{AC} \cong \overline{AC}[/tex] (reflexive property)
3) [tex]\angle BAC \cong \angle CAD[/tex] (an angle bisector splits an angle into two congruent parts)
4) [tex]\triangle BAC[/tex] and [tex]\triangle CAD[/tex] are right triangles (a triangle with a right angle is a right triangle)
5) [tex]\triangle BAC \cong \triangle DCA[/tex] (HA)
6) [tex]\angle BCA \cong \angle DCA[/tex] (CPCTC)
7) [tex]\overline{CA}[/tex] bisects [tex]\angle ACD[/tex] (if a segment splits an angle into two congruent parts, it is an angle bisector)
Question 7
1) [tex]\angle B[/tex] and [tex]\angle C[/tex] are right angles, [tex]\angle 4 \cong \angle 1[/tex] (given)
2) [tex]\triangle BAD[/tex] and [tex]\triangle CAD[/tex] are right triangles (definition of a right triangle)
3) [tex]\angle 1 \cong \angle 3[/tex] (vertical angles are congruent)
4) [tex]\angle 4 \cong \angle 3[/tex] (transitive property of congruence)
5) [tex]\overline{AD} \cong \overline{AD}[/tex] (reflexive property)
6) [tex]\therefore \triangle BAD \cong \triangle CAD[/tex] (HA theorem)
7) [tex]\angle BDA \cong \angle CDA[/tex] (CPCTC)
8) [tex]\therefore \vec{DA}[/tex] bisects [tex]\angle BDC[/tex] (definition of bisector of an angle)
the tens digit of a two digit number is 5 greater than the units digit. if you subtract the reversed number from the original number you will get 1/4 of the original number
what is the original number
From the given information, the original number is 180. 02
How to determine the original numberLet the unit digit be x
The unit in tens is x+ 5
The original number = 10(x+5) + x = 11x + 50
The reversed number = 10x+ (x+5) = 11x+5
From the information given, we have that
(11x + 50) - (11x + 5) = 1/4 (11x + 50)
Expand the expression
11x + 50 - 11x - 5 = 1/ 4(11x + 50)
Collect like terms
11x - 11x + 50 - 5 = 1/ 4 (11x + 50)
45 = [tex]\frac{11x + 50}{4}[/tex]
Cross multiply
45 * 4 = 11x + 50
180 = 11x + 50
11x = 180 -50
11x = 130
x = 130/11
x = 11. 82
To find the original number, we have
Original number = 11x + 50
Substitute the value of x
Original number = 11(11.82) + 50
Original number = 130. 02 + 50
Original number = 180. 02
Therefore, the original number is 180. 02
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I am not able to solve this question
First, we multiply the numbers : 10 x 5 = 50
Now, we multiply r squared to r^6. To do this, we add the index numbers together : r^2 x r^6 = r^(2+6) = r^8
So, the answer is 50r^8, or b.
Can you please find the value of x
Answer:
14
Step-by-step explanation:
when two lines intersect, the opposite angles are equal: vertical angles rule
this means that 88 and 6x + 4 are the same, therefore we get the equation 6x+4 = 88.
subtracting 4 from both sides, we find that 6x = 84
we get our final answer by dividing each side of the equation by 6:
x = 14
Each statement describes a transformation of the graph of . Which statement correctly describes the graph of y = f(x − 7) + 3?
A.
It is the graph of f translated 3 units up and 7 units to the left.
B.
It is the graph of f translated 7 units down and 3 units to the right.
C.
It is the graph of f translated 7 units up and 3 units to the right.
D.
It is the graph of f translated 3 units up and 7 units to the right.
Answer: D. It is the graph of f translated 3 units up and 7 units to the right
Step-by-step explanation:
the +3 part of the equation makes the function translated vertical 3 units
then the x - 7 part makes it translate horizontal to the right 7 units (always the opposite of the sign)
because when
x-7=0,
x=7
Classify the following triangle. Check all that apply.
Area =
Help me please :)
Answer:
24 unit²
Step-by-step explanation:
use Pythagoras to calculate the height of triangle
which gives you 6 √100-64
then half hight x base
Find two numbers such that one number is 3 less than twice as big as the other number and the two numbers sum to 21.
Answer:
The two numbers are:
8 and 13
Step-by-step explanation:
a = 2b - 3 Eq. 1
a + b = 21 Eq. 2
Replacing Eq. 1 in Eq. 2:
(2b-3) + b = 21
3b - 3 = 21
3b = 21 + 3
3b = 24
b = 24/3
b = 8
from Eq. 1
a = 2*8 - 3
a = 16 - 3
a = 13
Check:
From Eq. 2:
a + b = 21
13 + 8 = 21
look at image.................
Answer:
-1/3
Step-by-step explanation:
When x is 1, y is 5
When x is 4, y is 4
5-4=1
1-4=-3
1/-3=-1/3
help me i give you brainly
Answer:
False
Step-by-step explanation:
I'm not a 100 percent though
Caraline is planting flowers in her garden she plants 7 flowers in 4 minutes after 12 minutes she has planted 21 different flowers
Answer:
A.28 minutes
B.40 minutes
C.56 minutes
D.70 minutes
Step-by-step explanation:
9 times 2/3=
SIMPIFIED
Answer:
6
Step-by-step explanation:
9 x 2/3
9/1 x 2/3 = 18 / 3 = 6
Find the missing angles. will give brainliest if done correctly.
Answer:
x = 69 v = 103
Step-by-step explanation:
Angles in a triangle add up to 180 degrees:
34 + 77 + x = 180
x = 69
Angles on a straight line add up to 180:
77 + v = 180
v = 103
Answer:
x = 69°V = 103°Step-by-step explanation:
the sum of the interior angles in a triangles is 180°, take away from 180 the know angles (34° and 77°) and you will have your answer
180 - 34 - 77 = 69°
Now we find angle V
The angle V and the angle of 77 ° are on a straight line, so the sum is 180°, from 180° you subtract 77 ° and you have the value of V
180 - 77 = 103 °
A pillar 80 m tall casts a shadow 39 m long. Find the distance between the top of the pillar and the foot of the shadow
Answer:
89
Step-by-step explanation:
[tex] \sqrt{ {80}^{2} + {39}^{2} } = 89[/tex]
The distance between the top of the pillar and the foot of the shadow is 80 meters.
How to find the distanceLet's call the distance we want to find "x".
In particular, set up the following proportion:
pillar height / shadow length = distance / shadow length
Plugin the given values
80 / 39 = x / 39
Simplifying and solving for x
x = (80 / 39) * 39
x ≈ 80
Therefore, the distance between the top of the pillar and the foot of the shadow is 80 meters.
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b.HELPPPP MEEEE PLSSSS AND THANK YOUU
Answer:
A. (3, 8) and [tex]2\sqrt{2}[/tex]
B. (2, 4) and [tex]2\sqrt{10}[/tex]
Step-by-step explanation:
Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2})[/tex]
Distance formula: [tex]\sqrt{(x_{2}-x_{1}) ^2+(y_{2}-y_{1}) ^2 }[/tex]
A. plug in the points in the formulas
(4, 7) and (2, 9)
Midpoint:
[tex](\frac{4 + 2}{2} , \frac{7+9}{2} )=6/2, 16/2 = (3,8)[/tex]
Length:
[tex]\sqrt{(2-4)^2+(9-7)^2}=\sqrt{4+4} =\sqrt{8} =2\sqrt{2}[/tex]
B.
(5, 5) and (-1, 3)
Midpoint:
[tex](\frac{5-1}{2} , \frac{5+3}{2} )=4/2,8/2=(2,4)[/tex]
Length:
[tex]\sqrt{(-1-5)^2+(3-5)^2} =\sqrt{-6^2+-2^2} =\sqrt{36+4} =\sqrt{40} = 2\sqrt{10}[/tex]
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4.Find three consecutive integers such that the difference of double the largest number and triple the smallest number is -44. Find the three numbers by setting up an equation. Make sure to define your variables
Solving a linear equation, we will see that the 3 numbers are:
48, 49, and 50.
How to find the 3 numbers?
3 consecutive integers can be written as:
x, x + 1, x + 2
Here we know that 2 times the largest number minus 3 times the smallest one is -44, then:
2*(x + 2) - 3x = -44
We can solve that linear equation for x:
2x + 4 - 3x = -44
(2 - 3)x = -44 - 4
-x = -48
x = 48
Then the 3 numbers are:
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A(n) Blank______ is a data characteristic that stands for a value that changes or varies over time. Multiple choice question. information fact variable
Variable is a data characteristic that stands for a value that changes or varies over time.
A variable is any characteristics, number, or quantity that can be measured or counted. A variable may also be called a data item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type are examples of variables.
Information is that portion of the content of a signal or message which conveys meaning. (so this is the wrong option)
A fact is a quantitative piece of information - such as a sale or a download. (so this is also the wrong option)
Hence, a Variable is a data characteristic that stands for a value that changes or varies over time.
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