As the discriminant is negative the Quadratic equation has no real zeros.
Determining Zeroes of Quadratic Equation:The formula of discriminant is used to find the number of solutions or zeros that a quadratic equation has. In algebra, the discriminant is the name that is given to the expression which is in under the square root in the quadratic formula.
The formula for discriminant is given by
Discriminant Δ = b²- 4ac
Here we have
Quadratic function, y = 5x² + 2x + 4
compare the given equation with ax²+bx+c = 0
=> a = 5, b = 2 and c = 4
Now find the discriminant of the equation
As we know
Discriminant Δ = b²- 4ac⇒ Discriminant Δ = (2)² - 4(5)(4)
= 4 - 80
= - 76
Since the discriminant of the equation is negative then the given quadratic equation has no real zeros
Therefore
As the discriminant is negative the Quadratic equation has no real zeros
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What is the domain of the exponential function y = 8^x+2?
hola buenas tardes como está el día de hoy ? yo estoy bien gracias por preguntar, espera...hablas español verdad...?
Answer: All real numbers
Step-by-step explanation: It is pretty simple. Just see if the x can be undefined. In this case x works with every number. So, it's all real numbers
Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1. 69 a square foot, what is the total cost to tile the kitchen?.
Total cost to tile the kitchen =$273.78
Let the width of kitchen = w
The length of the kitchen is nine feet shorter than three times its width, w = 3 w-9 equation-----1
The perimeter of the kitchen is six times the width = 6 w
= 2(length+width) =6 w equation----2
from equation 1 and 2
= 2(3 w-9+w) = 6 w
= 6 w-18+2 w = 6 w
2 w = 18
w = 9
Length = 3 w-9
length = 3×9-9
length = 18
Area of kitchen = length×width
= 18×9
= 162 square foot
Cost of tiles per square = $1.69
Total cost to tile the kitchen = Area of kitchen × cost of tiles per square
= 162×$1.69
=$273.78
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If the tiles cost $1.69 a square foot, the total cost to the tiles of the kitchen is $273.28.
According to the question:
Let the width be = x
Then, the length of the rectangular kitchen is L = 3x - 9
The perimeter is = 6x
It is given that the cost of the tile = $1.69 a square foot.
Then the total costs of tiles the kitchen is :
The Perimeter of the rectangle = 2(L + b)
The Perimeter of the rectangle = 2(3x - 9 + x)
The Perimeter of the rectangle = 2(4x-9)
We know that, according to the question,
the perimeter of the kitchen is six times the width = perimeter of rectangle
⇒ 6x = 8x - 18
⇒ - 2x = - 18
⇒ x = 18/2
⇒ x = 9
Thus, the width = x = 9 feet
Putting the value of x = 9
then, The length = 3x - 9 = 3(9) - 9
the length = 27 - 9
the length = 18 feet
Therefore, as we know that,
Area = Length × Width
Area = (18 × 9) feet
Area = 162 square feet.
Now,
Cost of a Tile = $1.69 per sq. ft.
Thus,
Total Cost of tile = $1.69 × 162
Total Cost of tile = $273.28
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consider the continuous random variable x, which has a uniform distribution over the interval from 30 to 38. the probability that x will take on a value between 34 and 35 is . a. 0.125 b. 0 c. 1 d. 0.875
Probability that a continuous random variable (x) will take on a value between 34 and 35 is 1/8
Uniform distribution is a type of probability distribution which consists constant probability.
It is also known as Rectangular distribution and
denoted by U( x,y ) .
let X be a continuous random variable then
X ~ U( x,y) where x is maximum value and y is minimum value .
Probability density function of uniform distribution is f(X) = 1/(b-a) , where
b---> maximum value , a---> minimum value
we have provided the interval of uniform distribution as 30 to 38 i.e b = 38 , a = 30
then , f( X) = 1/ (38-30) = 1/8
Probability that X will take on value between c and d is
P ( c ≤X≤ d ) =( d -c )/ (b-a )
Probability that X will take on a value between 34 and 35 is
P ( 34≤X≤35) = ( 35-34)/ 8 = 1/8
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IF LINE TV IS PARALLEL TO LINE ZX AND LINE ZX IS PARALLEL TO LINE QS, THEN IS LINE TV PARALLEL TO LINE QS BY TRANSITIVE PROPERTY?
Yes line TV is also parallel to line QS according to transverse property
What is transverse property?According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.
When the term equal is replace by parallel it suits the case at hand hence transitive property of parallel lines is introduced
When attempting to demonstrate that several parallel lines have congruent properties, the transitive property of parallel lines can be used to create a link between numerous equal quantities.
Therefore, it can be interpreted as: if line TV || line ZX and line ZX || line QS then line TV || line ZX
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I really need help for interpreting the remainder. Here is the question.
The student in class of 24, share 48 apple slices end 36 orange slices equally among them. How many pieces of fruit did each student get.
Whoever is going to be answering this question, please give me a valid answer and show your work
Answer:
so that means they would each get 2 and a half of apple and orange slices
Step-by-step explanation:
48 ÷ 24 =2
36 ÷ 24 =1.5
=2 1.5
Offering points for who can help me with this
Answer:
204 feet^2
Step-by-step explanation:
rectangle area = 18 * 10 = 180 feet^2
triangle width = 18 - 10 = 8 feet
triangle area = 6 * 8 /2 = 24 feet^2
total area = 180 + 24 = 204 feet^2
an experiment may have: a. only one outcome b. only two outcomes c. two or more outcomes d. several events
Using the concepts of probability, we got that an experiment may have d) several events
Event is called one or more outcomes of an experiment. Example of this is -rolling a dice, we get a possible outcomes as {1,2,3,4,5,6}.
In an experiment there can be one outcome, two outcomes, more than two outcomes or several outcomes.
An event is the collection of one or more of the outcomes of an experiment. An event that actually includes one and only one of the (final) outcomes for an experiment is called the simple event and is denoted by Ei.
Hence, an experiment may have d)several events
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A board 65 inches long is sawed into two pieces. One of the pieces in 7 inches shorter than twice the length of the other piece. Find the length of the two pieces.
Answer:
24 and 41 inches.
Step-by-step explanation:
Let the lengths of the two pieces be a and b.
The total length of the two-piece should be the length of the original board.
Therefore:
a + b = 65
One piece, say b, is 7 inches shorter than twice the length of the other, a.
Therefore, we can write the following equation:
b = 2a - 7
The “2a” represents the twice, and the “-7” represents the 7 shorter inches.
We now have a system of equations:
a + b = 65
b = 2a - 7
We can solve using substitution. Substitute the second equation with the first. Hence:
a + (2a - 7) = 65
Combine like terms:
3a - 7 = 65
Add 7 to both sides:
3a = 72
Divide both sides by 3:
a = 24
So, the shorter piece is 24 inches.
Then, we can use our second equation again:
b = 2a - 7
Since we now know a substitute 24 for a and evaluate. Hence:
b = 2(24) - 7
= 48 - 7
= 41
Therefore, the length of the other two pieces is 24 and 41 inches.
What did I do wrong?
Step-by-step explanation:
I gone through your work and I don't see anything wrong.
Try reaching out to your teacher.
Answer:
You answered every question correctly. All ten of them. The program you are using has some issues. lol
Step-by-step explanation:
3/4x - 3 = 5/6 Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer.
Answer:
18x - 72 = 20
Step-by-step explanation:
[tex] \rm \implies \dfrac{3}{4} x - 3 = \dfrac{5}{6} \\ \\ \rm \implies \dfrac{3}{4} x - 3 \times \frac{4}{4} = \dfrac{5}{6} \\ \\ \rm \implies\dfrac{3}{4} x - \frac{12}{4} = \dfrac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{4} = \frac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{ \cancel{4}} \times \cancel{4} = \frac{5}{6} \times 4 \\ \\ \rm \implies 3x - 12 = \frac{20}{6} \\ \\ \rm \implies (3x - 12) \times 6 = \frac{20}{ \cancel{6}} \times \cancel{6} \\ \\ \rm \implies 18x - 72 = 20 [/tex]
Jan enters a 20-foot by 30-foot rectangular room.The long sides face north and south.Jan enters exact center of the south side and walks 10 feet north.Then she walks 8 feet east.How far is she from the east side of the room.(Please explain it in 5th grade terms)(I lied about me being in high school)
Four friend go out to eat and their meal cot $86. 50. The ale tax i 6. 75% and they hould tip the waiter 20%. How much do they have to pay?Round to the nearet cent
Four friends go out to eat and their meal cost $86. 50. The sales tax 6. 75% and they should tip the waiter 20%.each person must pay $27.7 for their meal
Four friends go out to eat and $86.50 for their meals.
The sales tax is 6.75%, and the waiter is tipped 20%.
M = 86.5 * 10675 / 10000 = 92.34
92.34$, and the total amount of money that four friends will give, including waiter tip, is
T=92.35 * 120 / 100 = 110.80
and each person must give
110.8/4= $27.7
each person must pay $27.7
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Why is the following no solution?
|x| = -5
4x+y=104, x, plus, y, equals, 10
Complete the missing value in the solution to the equation.
Answer:36,37,38,39 one of the those or between
Step-by-step explanation:
[tex]\sf x+ (-9) =-18[/tex]
what's the value x ?
Answer:
x = -9
Step-by-step explanation:
Below:-
Answer:
x = -9
Step-by-step explanation:
Given equation,
→ x + (-9) = -18
Now the value of x will be,
→ x + (-9) = -18
→ x - 9 = -18
→ x = -18 + 9
→ [ x = -9 ]
Hence, the value of x is -9.
what is f(-3) for the function f(x) = 2x^2 + 5? need answer ASAP please!
Answer:
F(-3)= 23
Step-by-step explanation:
F(-3)= 2(-3)^2 + 5
Simplify:
[tex]\frac{4-i\sqrt{2}}{4+i\sqrt{2}}[/tex]
(7-4i)√2/7 is the simplified form of (4-i√2)/(4+i√2)
What is complex number?a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit
The given expression is
(4-i√2)/(4+i√2)
Now we have to rationalize the above expression
((4-i√2)/(4+i√2))×((4-i√2)/(4-i√2))
(4-i√2)(4-i√2)/(4+i√2)(4-i√2)
16-4i√2-4i√2-2/16-2
16-8i√2-2/14
14-8i√2/14
2(7-4i√2)/2(7)
(7-4i)√2/7
Hence (7-4i)√2/7 is the simplified form of (4-i√2)/(4+i√2)
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Find the inverse of the function y=2x+8
The inverse function of the given is [tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4 .
What is inverse function?
The domain of the original function becomes the range of the inverse function, and the range of the given function becomes the domain of the inverse function. The inverse function is denoted by the notation f-1 in relation to the original function f. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function. Only when f is both a one-one and an onto function does it have an inverse, indicated by the symbol f-1. Keep in mind that f-1 is NOT f's inverse. The domain value of x is given by combining the function f and the reciprocal function f-1.
Here the given function is,
=> y = 2x+8
Now interchange x and y then
=> x=2y+8
Now simplify the expression with respect to y then,
=> x-8=2y
=> y = [tex]\frac{x}{2}[/tex]-4
=>[tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4
Hence inverse function is [tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4 .
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1. Write this math statement as an algebraic expression:
The sum of one half of an unknown value and three times itself.
Answer:
Step-by-step explanation:
n = some unknown natural number
n/2 = half of that natural number
n-1 = number right before the unknown natural number
2*(n-1) = twice the number before the natural number n
11. Tia drives 127 miles a week. Mac drives 23 times as many miles as Tia a week. How many miles does Mac drive a week?
Answer:
He drives 2921 a week.
Step-by-step explanation:
If Tia drives 127 miles in a week, and Mac drives 23 times as many miles as Tia, then we multiply. 127x23=2921.
Hope this helped :)
Question
Forty-five people are going on a road trip. Each car seats 5 people.
How many cars are needed for 45 people?
Choose the correct property of addition to match the example.
3+4=7 4+3=7
The equation 3 + 4 = 7 and 4 + 3 = 7, shows the existence of Commutative Property of Addition.
What are Properties of Addition?
The properties of addition are the rules we can follow while adding numbers. Using these properties can make the calculation more straightforward and helps to solve complex problems in Math.
Solution:
Using Commutative Property of Addition the above mentioned equation can be solved.
Commutative Property of Addition - When we add two or more numbers, their sum is the same regardless of the order of the addends. We can write this property in the form of A + B = B + A.
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a car dealer buys a car for $500, gives it a clean new, is sold for $100. what is the percentage of loss
Answer:
Step-by-step explanation:
1. Find decrease.
If the car dealer bought the car for 100$ and only received 100$ for selling the car, he had 400$ in disadvantage!
2. Caculate Percent Loss:
400/ 500*100=
400/5=
80
There was a 80% decrease from the starting value!
Answer: 80% decrease!
Which decimal is equivalent to \
{31}{9}
9
31
start fraction, 31, divided by, 9, end fraction?
Look at this graph:
10
9
8
7
5
4
3
2
1
0 1 2 3 4 5 6 7 8
What is the slope?
The slope of the line is -1
First we have to choose two points
The coordinates of the first point = (9, 1)
The coordinates of the second point = (8, 2)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line.
The slope of the line m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope of the line
[tex](x_1,y_1)[/tex] is the coordinates of the first point
[tex](x_2,y_2)[/tex] is the coordinates of the second point
Substitute the values in the equation
The slope of the line = (2-1) / (8-9)
= 1 / -1
= -1
Hence, the slope of the line is -1
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Mrs. Nicholas baked two batches of cookies. The first batch consisted of 120 gingerbread cookies and the second batch consisted of 150 shortbread cookies. Mrs. Nicholas saved the same fraction of cookies from each batch. If Mrs. Nicholas saved 20 more shortbread cookies than gingerbread cookies, what fraction of the cookies did she save?
I know the answer, but I don't know how to solve.
2/3 of cookies were she saved.
What is Fraction?A fraction represents a part of a whole.
The first batch consisted of 120 gingerbread cookies
Second batch consisted of 150 shortbread cookies.
And, the same fractions of cookies from each batch were saved.
Let x parts of each of cookies were saved.
Then The number of the saved gingerbread cookies = 120 x
While, The number of the saved shortbread cookies = 150 x
150x-120x=20
30x=20
x=20/30
x=2/3
Hence 2/3 of cookies were she saved.
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it would be great if someone could help me with these please?
Answer:
Find the angle measurement like a 90 degree angle or something for both of them and then find the solution following it. If you need further help post the question with the name where these questions are posted!
PLEASE GIVE BRAINLIEST THANK YOU!!!
A basketball has a volume of about 452.1 cubic inches. Fine the radius of the basketball in inches
The radius of the basket ball having volume 452.1 cubic inches is 4.76 inches.
What is the volume?
Volume is the 3 dimentional occupied space by any object. It is measured in SI units [tex]\textnormal{m}^3[/tex] and other derived units like [tex]\textnormal{in}^3[/tex].
All properties of a spherical shape is defined by its radius. The shape of a basketball is spherical hence, the formula of the volume is given by the followin expression:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Here, V is the volume of the basket ball and r is the radius of the basket ball.
Rearrange the above equation for [tex]r[/tex].
[tex]3V=4\pi r^3\\\frac{3V}{4\pi}= r^3[/tex]
[tex]r=[\frac{3V}{4\pi}]^{1/3}[/tex]
Substitute values.
[tex]V=[\frac{3(452.1 \ \textnormal{cubic inches})}{4\pi}]^{1/3}\\=4.76 \ \text{inches}[/tex]
Hence, the radius of the basket ball is 4.76 inches.
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Steven's birthday party will cost $168 if he invites 14 guests. If there are 59 guests, how much will Steven's birthday party cost? Solve using unit rates.
Two angles of a quadrilateral measure 260° and 15º. The other two angles are in a ratio of 7:10. What are the measures of those two angles?
The measures of those two angles are 35° and 50°.
How to calculate the angle?It's important to note that the sum of angles on a quadrilateral is 360°. In this case, two angles of a quadrilateral measure 260° and 15º.
The remaining angles will be:
= 360° - (260° + 15°)
= 85°
Since the other two angles are in a ratio of 7:10, the measure will be:
= 7 / (7 + 10) × 85°
= 7/15 × 85°
= 35°
Also, 10/17 × 85°
= 50°
The angles are 35° and 50°.
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