Answer:
Step-by-step explanation:
The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is [tex]b^{2}-4ac[/tex], where b is the coefficient of x, a is the coefficient of [tex]x^{2}[/tex], and c is the number with no variable attatched to it. If we plug in the numbers ([tex]17^{2} -4*4*3[/tex]) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.
A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages. What is the sample space for this experiment?
Answer:
The set of all pages in the book:
S={1, 2, 3, ..., 428}
Step-by-step explanation:
The sample space is the set containing all possible outcomes for the experiment. In this problem, the experiment is stopping at a random page of the textbook, and the sample space is the set of all pages in the book:
S={1, 2, 3, ..., 428}.
Answer:
s
Step-by-step explanation:
the table shows ordered pairs of the function y=16+0.5x. Which ordered pair could be the missing values represented by (x,y)?
Answer:
(2,17)
Step-by-step explanation:
This is because x is the input and y is the output. All you have to do is create a value for x the substitute it in the equation. Next solve for y 0.5 times 2 is 1, plus 16 is 17. Then just put your values in an order pair.
Answer:
8,20
Step-by-step explanation:
How do you do this equation
Mrs.Clarke is the PE teacher is pairing of students to race against each other. Tyler can run 7 meters per second and bridget can run 8 meters per second Mrs.Clarke decides to give tyler a head start of 4 meters since he runs more slowly. Once the students start running bridget will quickly catch up to tyler how long will that take? How far will bridget have to run?
Answer:
It will take 4 seconds. She will have to run 32 meters
Step-by-step explanation:
The formula to calculate the distance in terms of speed and time is:
distance = speed x time
Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.
The distance by Bridget: x = 8t → t = x/8
The distance by Tylor: x - 4 = 7t → t = (x-4)/7
→ x/8 = (x-4)/7
→ 7x = 8(x-4)
→ 7x = 8x - 32
→ x = 32
Since x = 32 and t = x/8
→ t = 32/8 = 4
Dawn raises money for her school in a jog-a-thon. She will get three dollars for every lap she completes. If it takes 4 laps to jog 1 mile, and Dawn jogs a total of 12 miles, how much money will Dawn raise for her school?pls help
Answer:
$144
Step-by-step explanation:
[tex]\dfrac{\$3}{\text{lap}} \cdot \dfrac{4\text{ laps}}{\text{mile}}\cdot 12\text{ miles} =[/tex]
[tex]\boxed{\$144}[/tex]
Hope this helps!
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
(x+9)(x+3)
x*x = x^2
x*3 = 3x
9*x = 9x
9*3 = 27
Answer = x^2 + 12x + 27
Hope this helps
Answer:
x^2+12x+27
Step-by-step explanation:
have a nice day:)
Evaluate:
12.16 x .13 =
Answer:
1.5808
Step-by-step explanation:
rounded
hundreds
1.58
tens
1.6
first
2
PLEASE HELP I AM TIMED PEOPLE
A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?
A) a triangle that has the same dimensions as one of the sides of the pyramid
B) a triangle that does not have the same dimensions as one of the sides of the pyramid
C) a parallelogram that is not a rectangle
D) a rectangle
Answer:
B
Step-by-step explanation:
The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid
Answer: B
Step-by-step explanation:
Find the distance between the pair of points given on the graph
The right answer is √74 units.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
There are two approaches to solving the equation -3x + 10 = 4x - 20
What is the answer? pls help
Subtract 4x from both sides. OR Add 3x to both sides.
–7x + 10 = –20 OR 10 = 7x – 20
Solve the equation using both approaches.
What is the solution?
Answer:
X =30/7
Step-by-step explanation:
The first way would be something like:
-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.
Therefore,
-7x+10-10=-20-10
Simplified, we get
-7x=-30
Remove the negative symbols
7x =30
x=30/7
Second example:
10=7x - 20
Add 20 to both sides.
10+20=7x-20+20
Simplified,
30=7x
x = 30/7
Answer:
What is the solution?
✔ x = 30/7
Step-by-step explanation:
You can take this equation into two approaches.
#1 subtracting 4x from both sides:
-3x+10=4x-20 (subtract 4x from each side)
-7x+10=-20 (then subtract 10 from each side)
-7x=-30 (then divide by -7 to get x by itself)
x=30/7
#2 Add 3x to both sides:
-3x+10=4x-20 (Add 3x to both sides)
10=7x-20 (then add 20 to each side)
30=7x (divide both sides by 7)
30/7=x
Either way you do it you will get x=30/7 as your answer.
Simplify
4a x 6a^5
8a^2
It is a fraction
Answer:
[tex] = 3 {a}^{4} [/tex]
Step-by-step explanation:
[tex] \frac{4a \times 6 {a}^{5} }{8 {a}^{2} } \\ = \frac{24 {a}^{1 + 5} }{8 {a}^{6} } \\ = \frac{24 {a}^{6} }{8 {a}^{2} } \\ = 3 {a}^{6 - 2} \\ = 3 {a}^{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is 3a^4
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
we can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...
Answer: Inequality
Step-by-step explanation:
From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An
inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.
For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.
Plzzzzz i need help fast
Answer:mode is 0
`
Step-by-step explanation:mode is the most repeated value
PLEASE HELP! Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg. Round the measure to the nearest tenth if needed.
Answer:
The other leg is about 21.3 cm
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
11²+b²=24²
121+b²=576
Subtract 121 from both sides
b²=455
b=[tex]\sqrt{455}[/tex]
b≈21.3
Answer:
21.3 cm
Step-by-step explanation:
We need to apply the Pythagorean Theorem.
The Pythagorean Theorem is an equation that can only be applied to right triangles. It states that for a right triangle with legs (two shorter sides) a and b and hypotenuse (longest side) c:
a² + b² = c²
Here, we know the hypotenuse is 24 cm and that one of the legs is 11 cm. We can hence say that c = 24 and a = 11 (or b = 11, but it doesn't really matter). Plug these values into the equation to find the other leg length:
a² + b² = c²
11² + b² = 24²
121 + b² = 576
b² = 576 - 121 = 455
b = √(455) ≈ 21.3 cm
Thus, the answer is 21.3 cm.
~ an aesthetics lover
Sonia works at a bakery. The function
Answer:
I think the function is that she is working.
4. The interior angles of a triangle are 60°, 45° and 75°. The shortest side is 10 cm less than the
longest side. Determine the perimeter of the triangle to the nearest cm.
Answer:
Step-by-step explanation:
The length of each side corresponds to the sizes of each angle respectively.
To determine the length of each side, we would apply sine rule which is expressed as
a/sinA = b/SinB = c/SinC
The diagram of the triangle is shown in the attached photo. The longest side is c. If the shortest side is 10 cm less than the longest side, it means that the length of the shortest side is c - 10
Therefore,
c/Sin75 = (c - 10)/Sin45
c/0.966 = (c - 10)/0.707
Cross multiplying, it becomes
c × 0.707 = 0.966(c - 10)
0.707c = 0.966c - 9.66
0.966c - 0.707c = 9.66
0.259c = 9.66
c = 9.66/0.259
c = 37.3 cm
The shortest side is
37.3 - 10 = 27.3 cm
Applying the sine rule again,
b/Sin60 = 37.3/Sin75
b/0.866 = 37.3/0.966
Cross multiplying, it becomes
0.966b = 0.866 × 37.3
b = 32.3018/0.966
b = 33.4 cm
The perimeter is
27.3 + 33.4 + 37.3 = 98 cm
4x+3=-10x+ 3 in simples form
Answer:
14x=0
Step-by-step explanation:
Answer
14x+3=3
add 10x to both sides
Help me plsssss. Exterior angles definitions
Step-by-step explanation:
an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°
Find the y-intercept of the following equation. Simplify your answer.
y
=
–6
7
x
+
5
9
y-intercept =
Answer:
Y-intercept: 59
Step-by-step explanation:
Y=mx+b, in which b stands for y intercept
Answer:
59
Step-by-step explanation:
Question - Find the y-intercept of the following equation. Simplify your answer.
We write graphical equation as:
y = mx + b
where:
y: point on y axis
m: gradient/ slope (RISE/RUN)
x: point on x axis
b: y intercept (point where the line touches the y axis)
Now in:
y = –6 7 x + 5 9
y-intercept = 59
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer. plz answer
Answer:
c=10
Step-by-step explanation:
c² =8²+6²
c² =64+36
c²= 100
[tex] \sqrt{100} [/tex]
= 10
Solve for s 2-2s=3/4s+13
Answer:
s=-4
Step-by-step explanation:
Bring the S to one side and the numbers to the other
-11/4s=11
Then just divide, but when dividing fractions you have to switch the fraction so..
s=11*(-4/11)
s=-4
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
Answer:
The sum is a binomial with a degree of 6
Step-by-step explanation:
we have
(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)
Group terms that contain the same variable
(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y
0-2xy^{5}+3x^{4}y
-2xy^{5}+3x^{4}y
The sum is a binomial ( two terms) with a degree of 6
-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)
Answer:
D. The sum is a binomial with a degree of 6
Step-by-step explanation:
Given the translation T(-2, 5), translate the given ordered pairs: (2, 5) and (-1, 7)
Answer:
When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)
Here whe have the translation T(-2, 5)
a) if our pair is (2, 5) then:
T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)
b) if our pair is (-1, 7)
T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)
a) The ratio 20 minutes to 1 hour can be written in the form 1:n.
Find the value of n.
n =
Answer:
n =3
Step-by-step explanation:
20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.
when simplified, you get 1:3
Answer:
1:30
Step-by-step explanation:
minutes : hour
20 : 1
convert the hour into minutes
1 hr = 60 minds
20 : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1 : 30
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
PLEASE HELP MEEEE ill mark brilliance!!!!
Answer:
0.50
Step-by-step explanation:
The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.
The diagram shows a regular pentagon with centre O.
Answer:
56
Step-by-step explanation:
The size of angle x is 54°.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.
The angle 'O' is a complete angle
∴ ∠O = 360°
Angle between diagonals =360/5= 72°
The sum of all interior angles of triangle is 180°
x+x+ 72°=180°
2x=180-72
2x=108°
x=54°
Hence, the size of angle x is 54°.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
Which side of XYZ is the longest?
262
63
X
A. XY
B. XZ
C. YZ
o
D. Cannot be determined
Answer:
A. XY
Step-by-step explanation:
XY because it's opposite to the greatest angle.
Answer:
A.XY
Step-by-step explanation:
What is the volume on a cone if the height is 12cm and the radius is 2cm
Answer:
[tex]50.27[/tex] [tex]cm[/tex]
Step-by-step explanation:
[tex]\pi r^2h \times 1/3[/tex]
[tex]\pi \times 2^2 \times 12 \times 1/3[/tex]
[tex]\pi \times 4 \times 12 \times 1/3[/tex]
[tex]16\pi[/tex]
[tex]\approx 50.265482[/tex]
Answer:
16π cm^3 or 50.27 cm^3 to the nearest hundredth.
Step-by-step explanation:
V = 1/3 π r^2 h
= 1/3 π 2^2 12
= 16π cm^3.
67.5675675676 rounded to the nearest tenth I get confused sometimes lol.....I completely forgot how this goes, please help me, its for a lab:|
Answer:
67.6
Step-by-step explanation:
Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.