Answer:
[tex] \bf \: y = 2 {x}^{2} - 6x - 8[/tex]
It is equation of a parabolla.
It is to be noted that the graph of y = 2x * 2-6x-8 which when simplified is y = -12x² - 12x. is attached accordingly.
What are the qualities of the graph of y = -12x² - 12x?The graph of y = -12x² - 12x is a downward-opening parabola.
It has a concave shape and its vertex is the highest point on the graph. The axis of symmetry is a vertical line passing through the vertex.
The graph may intersect or be tangent to the x-axis at two points, one point, or no points, depending on the discriminant.
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the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Answer:
2.25 miles per minute
Step-by-step explanation:
Speed = Distance/Time
135/60
2.25 miles per minute
Answer from Gauthmath
what is the algebraic nature of the function f(x)= x2 -6X+5
Answer:
Step-by-step explanation:
It is a positive, or upwards-opening, quadratic; this implies it is parabolic in shape. It has 2 real zeros of x = 5 and x = 1, a y-intercept of (0, 5), and a vertex located at (3, -4). Not sure what else you can possibly need to know about this parabola.
Find the length of x. Assume the triangles are similar.
A. 25
B. 12
C. 20
D. 19
Answer:
C=20
Step-by-step explanation:
The value of x is 20. so option C is correct.
What are corresponding sides?In literal sense, corresponding means pair wise sides. Like the right corner sides of two triangles etc.
For two similar figures, the pair by pair similar sides of those two similar figures are called corresponding sides. They are of same measurement.
Find the length of x. Let Assume the triangles are similar.
x/ 12 = 10/ 6
Cross multiplication;
x/ 12 = 10/ 6
x = 12 ( 10/ 6)
x = 20
Hence, the value of x is 20. so option C is correct.
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Please answer this!!!
Answer:
12/13
Step-by-step explanation:
we know this is a right triangle, and we know that the hypotenuse is the longest side. so we can already say that the hypotenuse of the triangle is DF or 78.
when you draw it out, you find that the shortest leg is 30 and the second is 72 and the hypotenuse is 78. we also know that cosine is adjacent/hypotenuse. once you draw the triangle and notice which side is adjacent to angle F, just fit it into the formula and you get:
cos F = 72/78
cos F = 12/13
Answer: Choice C. [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
It helps to draw a right triangle with hypotenuse DF=78, and adjacent EF=72.Plug in cosine adjacent over hypotenuse and simplify.Provide a real-world situation in which it would be appropriate to use a geometric sequence or series. Be sure to explain why a series or a sequence is more appropriate
Step-by-step explanation:
Well talking about the practical use of Arthematic sequence or series..
i have an example..
suppose there is a highway and in most condition.. Petrol or diesel station are kept in a common distance..
now you can easily calculate or predict where the next petrol or diesel station is ..
and about Geometric sequence or series
There are many uses of geometric sequences in everyday life, but one of the most common is in calculating interest earned. Mathematicians calculate a term in the series by multiplying the initial value in the sequence by the rate raised to the power of one less than the term number. The sequence allows a borrower to know the amount his bank expects him to pay back using simple interest
and
Physicists use geometric progressions to calculate the amount of radioactive material left after any given number of half-lives of the material. During each half-life, the material decays by 50 percent.
Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 , then the sum of the roots is
α + β = - [tex]\frac{b}{a}[/tex]
Here 2x² - x - 3 = 0 is in standard form
with a = 2 and b = - 1 , then
sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
a microwave oven has a capacity of 1.59ft³. the interior of the microwave of the is 14 in wide and 14 in deep. what is the height of the interior of the microwave, to the nearest tenth of a foot
Step-by-step explanation:
The easiest way to do this is to imagine the microwave as a box. Ignore the turntables, whether or not something will spin if it touches an edge, and anything else that would make the fact that we're talking about a microwave confusing. This is a box now. :)
The capacity of our box is 1.59 ft^3, which means it can hold that much of "things" inside it. Instead of a capacity, we'll think of it as the box's total area. A tricky thing to note, is the area is given in ft, where the interior values are given as inches. So we'll need to turn the inches into feet.
To get the area of a box, we do length x width x height.
We're already given the length, 14 (inches), and the width, 14 (inches), so all we need to find now is the height (feet). To turn the lengths into feet, we'll divide them by 12, because there are 12 inches in 1 foot, or Feet = Inches / 12.
To finally turn it into math:
Area (A) = length (L) * width (W) * height (H)
[tex]A = L * W * H[/tex]
Insert known values.
[tex]1.59 = \frac{14}{12} * \frac{14}{12} * H[/tex]
Multiply.
[tex]1.59 = \frac{196H}{144}[/tex]
Simplify.
[tex]1.59 = \frac{49H}{36}[/tex]
Multiply both sides by 36.
[tex]1.59*36 = \frac{49H}{36}*36[/tex]
Simplify.
[tex]57.24 = 49H[/tex]
Divide both sides by 49.
[tex]\frac{57.24}{49} = \frac{49H}{49}[/tex]
Simplify.
[tex]1.16816326... = H[/tex]
To turn make this the nearest Tenth, we round up to the first decimal place.
Answer:
H = 1.2 ft
find the value of trigonometric ratio
Answer:
3/5
Step-by-step explanation:
Cos C = adjacent/hypotenuse
or, Cos C = 21/35 = 3/4
Answered by GAUTHMATH
which of the statement is true
Answer:
c
Step-by-step explanation:
Profit = 4.5 (240)-1080 = 0
the maximum profit would occur when u sell all 350 tickets,
profit = 4.5(350)-1080 = 495 (not a nor b)
Answer:
The statement that is true is C
The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?
20 in.
26 in.
120 in.
138 in.
Answer:
its c 120in
Step-by-step explanation:
The perimeter of the triangle is,
⇒ 138 in.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The hypotenuse of a right triangle is 52 in.
And, One leg of the triangle is 8 in. more than twice the length of the other.
Hence, We get;
Lengths of legs are,
⇒ x
And, ⇒ 8 + 2x
Hence, We can formulate;
⇒ 52² = x² + (2x + 8)²
⇒ 2704 = x² + 4x² + 64 + 24x
⇒ 5x² + 24x - 2640 = 0
⇒ x = 20 and x = - 132/5
For perimeter;
Take x = 20
Hence, The perimeter of the triangle is,
⇒ 52 + x + (2x + 8)
⇒ 52 + 20 + (2 × 20 + 8)
⇒ 52 + 20 + 48
⇒ 138 in.
Thus, The perimeter of the triangle is,
⇒ 138 in.
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WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
C and A
Step-by-step explanation:
C and A are correct answers
find the value of the trigonometric ratio
tan c =opposite÷ adjacent
tan c =36÷15
tan c = 12÷5
Explain why having three congruent angles in two triangles is not a good way to prove two
triangles are congruent. Come up with a counter example, you can describe or draw it.
Draw an equilateral triangle with side lengths of 1. Each angle here is 60 degrees, which is true of any equilateral triangle.
Now draw another equilateral triangle that has side lengths of 2 units. Clearly this triangle is not the same size as the previous one, but the angles are all still 60 degrees.
We have an example in which there are 2 triangles with the same angles, but the triangles are not congruent. Therefore, having info about congruent angles only isn't sufficient to prove triangles to be congruent.
TIMED PLEASE HELP EDGE 2021
solve using identities
Answer:
Solution given
Cos[tex]\displaystyle \theta_{1}=\frac{13}{15}[/tex]
consider Pythagorean theorem
[tex]\bold{Sin²\theta+Cos²\theta=1}[/tex]
Subtracting [tex]Cos²\theta[/tex]both side
[tex]\displaystyle Sin²\theta=1-Cos²\theta[/tex]
doing square root on both side we get
[tex]Sin\theta=\sqrt{1-Cos²\theta}[/tex]
Similarly
[tex]Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}[/tex]
Substituting value of [tex]Cos\theta_{1}[/tex]
we get
[tex]Sin\theta_{1}=\sqrt{1-(\frac{-13}{15})²}[/tex]
Solving numerical
[tex]Sin\theta_{1}=\sqrt{1-(\frac{169}{225})}[/tex]
[tex]Sin\theta_{1}=\sqrt{\frac{56}{225}}[/tex]
[tex]Sin\theta_{1}=\frac{\sqrt{56}}{\sqrt{225}}[/tex]
[tex]Sin\theta_{1}=\frac{\sqrt{2*2*14}}{\sqrt{15*15}}[/tex]
[tex]Sin\theta_{1}=\frac{2\sqrt{14}}{15}[/tex]
Since
In III quadrant sin angle is negative
[tex]\bold{Sin\theta_{1}=-\frac{2\sqrt{14}}{15}}[/tex]Answer:
- 2√14/15Step-by-step explanation:
In the quadrant III both the sine and cosine get negative value.
Use the identity:
sin²θ + cos²θ = 1And consider negative value as mentioned above:
sinθ = - √(1 - cos²θ) sinθ = - √(1 - (-13/15)²) sinθ = - √(1 - 169/225)sinθ = - √(56/225)sinθ = - 2√14/15What is the solution to this inequality?
X-7>-6
O A. X<-13
O B. x>-13
O C.x>1
O D x< 1
Answer:
Option C
X>1
Step-by-step explanation:
x-7>-6
x>-6+7
x>1
Please Mark me brainliest
Answer:
C
Step-by-step explanation:
x - 7 > -6
x > -6 + 7
x > 1
• We change the inequality sign if we multiply or divide a negative number from both sides. But since it’s positive and we added it we won’t change the inequality sign.
please I need help here
Answer:
90 degrees
Step-by-step explanation:
The sum of interior angles of every triangle is 180 degrees
Luckily 90 degrees has already been represented on the triangle
SOLUTION
x+90°=180°
x=180°-90°
x= 90°
Therefore, the answer is 90°
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan?
Answer:
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Step-by-step explanation:
The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
1 from a set of 2(Either Mrs. Vera or Mr. Jan).
3 from a set of 18 - 2 = 16. So
[tex]C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120[/tex]
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
I'LL GIVE BRAINLIEST ! ! ! ! ! !
The parabola x=√y-9 opens:
a. left
b. right
c. down
d. up
Answer:
UP
Step-by-step explanation:
x+9 = [tex]\sqrt{y}[/tex]
y = [tex]x^{2}[/tex] +18x + 81
Answer:
Up
Step-by-step explanation:
lol im giving a second answer so the other person can get brainliest :)
I really need help again.
Answer:
Y = -1/2X +4
Step-by-step explanation:
x1 y1 x2 y2
2 3 0 4
(Y2-Y1) (4)-(3)= 1 ΔY 1
(X2-X1) (0)-(2)= -2 ΔX -2
slope= - 1/2
B= 4
Y =-0.5X +4
Please help!
Will mark brainliest!!
Answer:
Let m = Number of months
Company A: 60+ 42.95 m
Company B: 25+49.95 m
60+ 42.95 m= 25+49.95 m
Subtract 42.95 from both sides
60 = 25 + 7m
Subtract 25 from both sides
35= 7m
Divide both sides by 7
m = 5
OAmalOHopeO
HELP ME ASAP!!!
two angles are supplementary. one angle is three less than 4 times it's supplement. what are the measures of the two angles?
Step-by-step explanation:
Two angles are supplementary one angle is 4 degrees less than three times the other find the measures of the angles
x + y = 180
x = 3y - 4
3y - 4 + y = 180
4y = 184
y = 46
x = 134
Answer:
30°,150°
Step-by-step explanation:
Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the following shows the correct system of equations and solution?
Answer:
B. on edge 2021
Step-by-step explanation:
y 1 = StartFraction log x Over log 2 EndFraction + StartFraction log (x minus 2) Over log 2 EndFraction, y 2 = 4; x = 4
Answer:
It's B :))
Step-by-step explanation:
Determine the equation of a perpendicular line to x=-2
Answer:
+1/2
Step-by-step explanation:
its the negative reciprocal
Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?
Select the correct prices in the table.
$12 $13 $14 $15
Answer:
The answer is actually 12 and 13.
Step-by-step explanation:
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.
We have given that the table,
What is the prices?Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
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can you guys please help me
Answer:
x^2 - 9
-------------
x^2 - 4
Step-by-step explanation:
x+3 x-3
------ * -----------
x+2 x-2
Notice that the numerator is the difference of squares and the denominator is the difference of squares
(a+b)(a-b) = a^2 - b^2
(x^2 - 3^2)
------------------
x^2 - 2^2
x^2 - 9
-------------
x^2 - 4
Answer:
A...
the parts of theis problem are "special factors" or conjugates
(a+b) (a-b) = a^2 - b^2
you have two of those (x+3)(x-3) = x^2-9
and (x+2)(x-2) = x^2 -4
Step-by-step explanation:
Find the product using suitable rearrangement 1879*5*20 please tell this
Answer:
187900Step-by-step explanation:
Calculate in steps:
5*20 = 1001879*100 = 187900Answer:
Step-by-step explanation:
1879 * 5* 20 = 1879 * (5* 20)
= 1879 * 100
= 187900
A recipe for 4 servings requires salt and pepper to be added in the ratio of 2:3. If the recipe is adjusted from 4 to 8 servings, what is the ratio of salt and pepper that must now be added
Answer:
Is this a trick question ???
Why would the ratio of salt to pepper change if you doubled the recipe?
The amount of salt and pepper would double, but not the ratio...
the answer should be 2:3
Step-by-step explanation:
Please answer:
Joanna bakes a cake in the shape of a
cylinder. The cake is 10 inches in
diameter and 4.5 inches tall. She
wants to put frosting on the entire
cake that is not resting on the tray.
How many square inches of frosting
will she need?
The cake has a cylindrical format, and the outside of the cake will be frosted, which means that the total surface area has to be found, and doing this, we find that she will need 298.5 square inches of frosting.
Surface area of a cylinder:
The surface area of a cylinder of radius r and height h is given by:
[tex]S = 2\pi r^2 + 2\pi rh[/tex]
The cake is 10 inches in diameter and 4.5 inches tall.
Radius is half the diameter, so [tex]r = \frac{10}{2} = 5[/tex].
The height is [tex]h = 4.5[/tex].
How many square inches of frosting will she need?
This is the surface area, so:
[tex]S = 2\pi(5)^2 + 2\pi(5)(4.5) = 50\pi + 45\pi = 95\pi = 298.5[/tex]
She will need 298.5 square inches of frosting.
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Answer:
Step-by-step explanation:
First of all, we need the formula of a cylinder which is: 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
BUT also remember we are solving for one base since we do not count the bottom of the tray. That formula would look like this: 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex] since we are using 1 base instead of 2.
Now input the missing values into the formula and solve:
2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]
2[tex]\pi[/tex](5)(4.5) + [tex]\pi[/tex][tex](5^{2})[/tex]
45[tex]\pi[/tex] + 25[tex]\pi[/tex] = 70[tex]\pi[/tex]
Our Answer is 70[tex]\pi[/tex], or 219.91 [tex]in^{2}[/tex]
the legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous
Answer:
11.31 units
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + 8^2 = c^2
64 + 64 = c^2
128 = c^2
Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.
[tex]\sqrt{128\\} \\\\[/tex] = c
c = 11.31 units