Answer:
The answer is $60. $30 × 12 = $360 – $300 = $60.
Step-by-step explanation:
sketch the graph for the following quadratic function.
[tex] - x ^{2} + 4x + 12[/tex]
it's ok if it's wrong.i just wanna see how the work done to do this
Answer:
Please refer to the attached image for the graph of given function.
Step-by-step explanation:
Given the equation:
[tex]-x^{2} +4x+12[/tex]
Let us rewrite by letting it equal to [tex]y[/tex].
[tex]y=-x^{2} +4x+12[/tex]
Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.
Let us compare the given equation with standard quadratic equation:
[tex]y=ax^{2} +bx+c[/tex]
we get:
[tex]a = -1\\b = 4\\c = 12[/tex]
Coefficient of [tex]x^{2}[/tex] is negative 1, so the parabola will open downwards.
Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.
Formula for axis of symmetry is:
[tex]x = -\dfrac{b}{2a}[/tex]
[tex]x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2[/tex]
It is shown as dotted line in the image attached in the answer area.
Axis of symmetry will also contain the vertex of the parabola.
It is a downward parabola so vertex will be the highest point on this parabola.
Putting x = 2 in the equation of parabola:
[tex]y=-2^{2} +4\times 2+12\\\Rightarrow y =16[/tex]
So, vertex will be at P(2, 16).
Now, let us find points of parabola to sketch graph:
put x = 0, [tex]y=-0^{2} +4\times 0+12=12[/tex]
Another point is Y(0,12)
Now, let us put y = 0, it will give us two points because the equation is quadratic in x.
[tex]0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6[/tex]
So, other two points are X1(-2, 0) and X2(6,0).
If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.
describe fully the single transformation that takes shape A to shape B
Answer:
Divide by 2 or -2
Step-by-step explanation:
The edges lengths have decreased:
4/2=2
2/2=1
6/2=3
Transformation involves changing the position and size of a shape.
The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees
From the figure, we have:
The side lengths of shape A are twice as large as the side lengths of shape BShape A can be rotated 180 degrees to map onto shape B, after dilation.So, the scale of dilation from shape A to B is:
[tex]\mathbf{Scale = \frac{1}{2}}[/tex]
Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees
Read more about transformations at:
https://brainly.com/question/11707700
Help plzzzzzzzz do these two questions and I’ll mark Brainlynest
Answer:
Step-by-step explanation:
Q1: <B = 150 °
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
8x-10 = 3x+90
5x=100 (subtract 3 from both sides)
x=20 (divide both sides by 5)
x = 20
<B= 3x +90
<B = 3 (20) +90
<B = 60 + 90
<B = 150
Q2: 62
An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.
An angle is 34 more than its complement.
Let x represent the angle.
Let y represent its complement.
x= 34 +(90-x)
y= (90-x)
x + y = 90
34 + (90-x) + (90-x) =90
x= 62
Check the answer.
x= 34 more than complement.
62-34=28
62+28=90
Checked!
Words of encouragement:
Good luck!
An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 ft., what is the distance (x) from the plane (P) to the observer (O)? (4 points)
If the plane is flying at an altitude of 21,000 feet, it is perpendicular to the observer's horizontal line of sight. Thus, I concluded that the given information be assigned to the attachment below.
Given -
( Observer at point O, plane flying at point P
( Plane at 55° angle to horizontal line of sight, altitude of 21,000 feet
The distance ( x ), is represented by the line segment OP, with which we have to determine the length of. Therefore we can conclude the following -
[tex]Sin( 55 ) = Altitude / Distance,\\Sin( 55 ) = 21,000 / x,\\----------------\\x = \frac{21,000}{Sin( 55 )},\\x = 21,000 / 0.81915204428\\\\x = ( About ) 25636 feet\\[/tex]
As you can see, the distance from the plane to the observer is about 25,636 ft!
Answer:
25,636 feet
Step-by-step explanation:
I took the test on FLVS and got 100%
Find the following System by the cramer's rule 4x-2y=8 3x+y=-4
Answer:
the value of x is 0 and y is -4.
hope it helps uh..
Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the boat overturned and the crew sent out a distress call. They estimated that they were 12 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat.
Answer:
S 75°E
S 55°E
Step-by-step explanation:
Take the law if sines of a triangle:
[tex] \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} [/tex]
Where,
a = 28 miles
B = 25°
b = 12 miles
First solve for A, using the law of sines:
[tex] \frac{a}{sinA} = \frac{b}{sinB} [/tex]
[tex] \frac{28}{sinA} = \frac{12}{sin25} [/tex]
Cross multiply:
[tex] 28 sin25 = 12 sinA [/tex]
[tex] 11.83 = 12 sinA [/tex]
[tex] Sin A = \frac{11.83}{12} [/tex]
[tex] Sin A = 0.986 [/tex]
[tex]A = sin^-^1(0.986)[/tex]
[tex] A = 80.44 degrees [/tex]
Since A = 80.44° find A supplement, A`:
A` = 180 - 80.44
A` = 99.56°
If A` + B < 180°, find C.
Thus,
A` + B = 99.56 + 25 = 124.56
We can see that A` + B < 180
Find C:
C = 180 - (80.44+25) = 74.56° ≈ 75°
C` = 180 - (99.56+25) = 55.44° ≈ 55°
Rewrite in bearing form:
S 75°E
S 55°E
Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable.
Complete question:
Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?
Answer:
Here,
Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)
We are also told only 10 participants are available.
All 10 participants are being exposed to all five levels of the color variable in the same order.
Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.
Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.
But using counterbalancing technique, Dr. Lyte can avoid such an error.
can someone help i have less than an hour !!
Answer:
[tex]x \geqslant 4[/tex]Option D is the correct option.
Explanation:
Since, there is a solid circle(blue) at X=4 which implies the value '4' is included in the inequality solution.
Hope this helps...
Good luck on your assignment...
What is the area of the rhombus ABCD is AB is 11.2, diagonal AC is 17, and diagonal BD is 15
Answer:
117.5
Step-by-step explanation:
The formula for the area A of a rhombus is
A = ½d₁d₂,
where d₁ and d₂ are the lengths of the diagonals.
A = ½ × 17 × 15 = 117.5
Answer: 127.5 sq. units
Step-by-step explanation:
What does the graph of f(x)=3x^2-2x+1 look like
Answer:
Below.
Step-by-step explanation:
This is a parabola.
As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').
If we convert to vertex form we can find the line of symmetry and the coordinates of the vertex:
f(x) = 3x^2 - 2x + 1
f(x) = 3(x^2 - 2/3 x) + 1
f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1
f(x) = 3(x - 1/3)^2 - 1/3 + 1
f(x) = 3(x - 1/3)^2 + 2/3
So the line of symmetry is x = 1/3 and
the vertex ( the minimum of the curve) is at (1/3, 2/3).
Question 11 PLEASE HELP find the slope of the line that passes through the points (6,2) and (8,8)
Answer:
Hey there!
We have the equation: y2-y1/x2-x1.
So, we have: 8-2/8-6.
6/2, or 3.
Hope this helps!
Two similar triangles are shown.
to create
AXYZ was dilated, then
AQAG
translated
reflected
dilated
rotated
Answer: reflected
Step-by-step explanation:
The triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.
What are the types of translations?There are three types of translations -
reflectionrotationdilationGiven is a triangle ΔXYZ.
It is asked to find the type of translation that would result in ΔQAG.It can be seen in the figure that the triangle XYZ is reflected across the given line to form triangle QAG.So, we can we can replace the blank with Option - 2 : reflected.Therefore, the triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.
To solve more questions on graph rotation, visit the link below-
https://brainly.com/question/19527326
#SPJ7
Is 2+4x-5x^2 in standard form?!
Answer:
y=-5x^2+4x+2
Step-by-step explanation:
Answer:
-5x² + 4x + 2
Step-by-step explanation:
Standard Form: ax² + bx + c
All you need to do is rearrange to have the highest degree first.
The coefficient of x in the expansion of the following is (x+3)^3 a) 1 b) 3 c) 18 d) 27 e) 9
Answer:
d) 27
Step-by-step explanation:
The expanded form of (a+b)³ is ...
(a +b)³ = a³ +3a²b +3ab² +b³
When we are expanding (x +3)³, the x-term is ...
3(x)(3²) = 27x
The coefficient of x in the expansion is 27.
Please please help!!! Study the diagram of circle Z. Points P, O, Q, and R lie on circle Z in such a way that OP¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯. If m∠QZR=(2x+9)∘ and m∠PZO=(4x−11)∘, what is the value of x?
x=3.3
x=15.3
x=10
x=12
Answer:
The correct option is
x = 10
Step-by-step explanation:
in a circle Given that chord [tex]\overline {OP}[/tex] is congruent to [tex]\overline {QR}[/tex], we have;
Measured angle m∠RZQ is congruent to measured angle m∠PZO
Congruent chords are subtended by congruent angles at the center of the circle
Therefore we have;
4·x - 11 is equal to 2·x + 9
4·x - 2·x = 9 + 11
2·x = 20
x = 10
The value of the measured angles are;
4·x - 11 = 4×10 - 11 = 40 - 11 = 29°
The value of x is 10°.
Answer:
x=10
Step-by-step explanation:
4·x - 11 is equal to 2·x + 9
4·x - 2·x = 9 + 11
2·x = 20
x = 10
The value of the measured angles are;
4·x - 11 = 4×10 - 11 = 40 - 11 = 29°
The value of x is 10°
There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 people use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities? There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 people use the gym and the pool. 30 people use the pool and the track. 17 people use the gym and the track. 6 people use all three facilities. A person is selected at random. What is the probability that the person uses exactly one of the facilities?
Answer:
Step-by-step explanation:
No of people using both gym and pool that is N( gup ) = 25
No of people using both track and pool that is N( tup ) = 30
No of people using both track and gym that is N( tug ) = 17
No of people using all that is N( gutup) = 6
No of people using two or three facilities
= 25+30+17- 2 x 6
= 60
Total no of people = 125
No of people using only one facility
= 125 - 60
= 65 .
Ratio of people using only one facility
= 65 / 125
.52
Required probability
= .52 .
probability that the person uses exactly one of the facilities
= .52
Lori is making 3 mugs of hot chocolate. Each mug holds 1/2 a pint. How many cups of hot chocolate does Lori pour?
Answer:
3 CUPS pints
Step-by-step explanation:
Multiple to get it by doing this (1/2) US pint x 3 = 1.5 US pints *2= 3 cups
What is the next number in the pattern below?
3, 5, 9, 15, 23, ___
A.
31
B.
33
C.
35
D.
37
Answer:
the answer you are looking for is the letter B. 33
To Finance a Vacation in 4 years, Margo saves $530 at the begenning of the every month in an account paying interest at 3.9% compounded quarterly a. What will be the balance in her ac To Finance a Vacation in 4 years, Margo saves $530 at the begenning of the every month in an account paying interest at 3.9% compounded quarterly a. What will be the balance in her account when he takes the vacation? [4 marks] b. How much of the balance will be an interest? [2 marks] c. If she waits an additional year to start her vacation, continues to save the same amount of money, how much more money does she have to spend count when he takes the vacation? [4 marks] b. How much of the balance will be an interest? [2 marks] c. If she waits an additional year to start her vacation, continues to save the same amount of money, how much more money does she have to spend
i got this question too as my homework it so hard ill let you know if i find out the answer.
Let's consider the scenario: You bring a hunting rifle to forest, and you see a tree full of birds. You count 15 birds total. You shoot 1 down. HOw mAny are left?
Answer:
0( no birds)
Step-by-step explanation:
if you shoot one, the rest will fly away
Answer:
14 alive birds, but 15 in total.
Step-by-step explanation:
15-1=14, or 15-0=15. the dead one still exists
Which inequality is represented by this graph?
Help please :’/
Answer:A
Step-by-step explanation:
It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
Its A because you find the slope, -1/3 which is followed by x. The x intercept is 1 so you do plus one. Because the line is solid and negative, it makes it a less-than equal to sign. Hope this helps at all!
Step-by-step explanation:
Simplify √18. Help!!! I am on a test on ingenuity. 2√3 2√9 3√2 9√2
Can someone help me solve this question? I'd appreciate it! Thank you.
Step-by-step explanation:
Side a = 63
Side b = 21
Side c = 66.40783 = 21√10
Angle ∠A = 71.565° = 71°33'54" = 1.24905 rad
Angle ∠B = 18.435° = 18°26'6" = 0.32175 rad
Angle ∠C = 90° = 1.5708 rad = π/2Area = 661.5
Perimeter p = 150.40783
Semiperimeter s = 75.20392
Height ha = 21
Height hb = 63
Height hc = 19.92235
Median ma = 37.85829
Median mb = 63.86901
Median mc = 33.20392
Inradius r = 8.79608
Circumradius R = 33.20392
Vertex coordinates: A[0, 0] B[66.40783, 0] C[6.64078, 19.92235]
Centroid: [24.34954, 6.64078]
Inscribed Circle Center: [12.20392, 8.79608]
Circumscribed Circle Center: [33.20392, 0]
Bridget and Caroline win some money and share it in the ratio 7:3. Bridget gets £40 more than Caroline. How much did they get all together?
Answer:
£100
Step-by-step explanation:
if the ratio is 7:3, the difference between them is 7-3 . = 4.
So,
4x = £40
Now, calculate x
x = £10
Now,
we are able to calculate:
7x (Bridget's share) = £70
3x (Caroline's share) = £30
Sum = £100
Hope this helps.
Good Luck
Jessica can paint 12 rocks in 8 minutes. How many rocks can she paint in 48 minutes
Answer:
72 rocks.
Step-by-step explanation:
A "easier" way to find out the answer, is to find how much rocks Jessica paints in 1 minute.
Divide 12 with 8:
12/8 = 1.5
Next, multiply the number you got (1.5) with 48:
48 x 1.5 = 72
Jessica can paint 72 rocks in 48 minutes.
~
Answer:
72 rocks
Step-by-step explanation:
So let’s create the following ratio 12:8
The 12 is the amount of rocks and the 8 is the time in minutes.
So we have to find how many rocks she can paint in 48 minutes.
So we make the following ratio x:48.
So we need to find x the amount of rocks she can paint in 48 minutes.
So to find x we have to divide 48 by 8 = 6.
So if the ratio is x6 we can just do 12 * 6 which is 72.
So she can paint 72 rocks in48 minutes.
PLZ HELP QUICK............
Answer:
[tex]4^m[/tex]
Step-by-step explanation:
When you exponent an exponent, you multiply the powers together.
When you divide exponents, you subtract the powers.
Step 1: Convert to same base
log₄64 = 3
Step 2: Rewrite equation
[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]
Step 3: Simplify
[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]
Step 4: Simplify
[tex]4^m[/tex]
Plz help!! Brainleist answer will be given if explanation is performed
Answer:
x = 76 roses
Step-by-step explanation:
Step 1: Define variables
x = # of roses
y = # of tulips
Step 2: Write systems of equations
x = 4y + 8
5x + 2y = 414
Step 3: Use Substitution
5(4y + 8) + 2y = 414
20y + 40 + 2y = 414
22y = 374
y = 17
Step 4: Plug in y to find x
x = 4(17) + 8
x = 68 + 8
x = 76
Answer:
x = 76
Step-by-step explanation:
x = Roses
y = Tulips
x = 4y + 8
5x + 2y = 414
5(4y + 8) + 2y = 414
20y + 40 + 2y = 414
22y = 374
y = 17
x = 4(17) + 8
x = 68 + 8
x = 76
What’s are the answers for both?
Answer:
d = 8g = 2Step-by-step explanation:
8d + 4 = 5d + 28
Group like terms
That's
8d - 5d = 28 - 4
3d = 24
Divide both sides by 3
d = 8
[tex] \frac{7(7g + 8)}{4} = 38.5[/tex]
Cross multiply
we have
7(7g + 8) = 38.5(4)
49g + 56 = 154
49g = 154 - 56
49g = 98
Divide both sides by 49
g = 2
Hope this helps you
could someone please answer 1 and 7:)
Answer:
1- %50
0.2008
Step-by-step explanation:
0.0008 1/5
(0.0008*5)+1=0.004+1=1.004/5
0.2008
→Answer:
1) 50%
7) 5.02
→Step-by-step explanation:
1)
Even if a coin is tossed many times and its still heads there is still 50% it is tails. It doesn't change.
7)
.0008 1/5 as a fraction.
So first we need to put .0008 into 1/5.
To do that we do .0008*5 which is .004.
So the fraction is now 1.004/5
To make that a decimal we do 1.004 divided by 5 which is 5.02
Which of the following is an arithmetic sequence?
Answer:
B
Step-by-step explanation:
An arithmetic sequence there will be a constant difference between terms.
Option A: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is ×[tex]\frac{1}{2}[/tex], but the difference between the 3rd term to the 4th term is ×[tex]\frac{1}{4}[/tex].
Option B: this sequence is an arithmetic sequence as the differences between every two consecutive terms are +5.
Option C: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is -8, but in the difference between the 2nd term and the 3rd is +8.
Option D: this sequence is a typical fibonacci sequence, and clearly we can see that the differences are different in every two consecutive terms.
I hope this helps, ask me any question if you do not understand :)