The equation 3x²-5x-5 will have two solutions.
What are real roots?If the value of x in the given quadratic equation is a real number then the roots of the equation are real.
The discriminant of the equation will be calculated as:-
= 3x ²- 5x - 5
D = b² - 4ac
D = ( 5 )² - 4 x 3 x -5
D = 25 - ( -60 )
D = 85
Since the discriminant is positive then the equation will have real roots and the degree of the equation is 2 so it will have two solutions.
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slove for g
3/16= -5/4 +g
Answer:
+g=3/16+5/4
the answer : 3/16+5/4
What value of w would make the equation true
Step-by-step explanation:
[tex] \frac{12w + 8}{6} = \frac{8w - 16}{3 } \\ 36w + 24 = 48w - 96 \\ 36w - 48w = - 96 - 24 \\ - 12w = - 120 \\ w = 10[/tex]
(05.02) Find the measure of angle x in the figure below:
55
45
80
55
100
Answer: x = 70
Step-by-step explanation:
Sum of angles in a triangle is 180
55 + 45 + y = 180
110 + y = 180
(110 - 110) + y = (180 - 110)
y = 70
Vertical angles are congruent so y = x
x = 70
In an obstacle course, participants climb to the top of a tower and use a zip line to travel across a mud pit. The zip line extends from the top of a tower to a point on the ground 48.2 feet away from the base of the tower. The angle of elevation of the zip line is 33°. Estimate the length of the zip line to the nearest tenth of a foot.
Using relations in a right triangle, it is found that the length of the zip line is of 40.4 feet.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.This situation can be modeled by a right triangle, in which the extension of the zip line of 48.2 feet is the hypotenuse and the length is the adjacent side to the angle of 33º, hence:
[tex]\cos{33^\circ} = \frac{l}{48.2}[/tex]
l = 48.2 x cos(33º)
l = 40.4.
The length of the zip line is of 40.4 feet.
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For each polynomial function below, state the minimum degree its equation could have
I need help with this please
Answer:
∠BIF = 126°
∠JBC = 63°
∠BJD = 117°
Step-by-step explanation:
adjacent angles in a rhombus add up to 180°
∠IBJ and ∠BIF are adjacent angles in a rhombus
thus,
∠IBJ + ∠BIF = 180°
54° + ∠BIF = 180
subtract 54 from both sides to isolate the variable
∠BIF = 126°
a line is 180°
thus, ∠IBA + ∠IBJ + ∠JBC = 180° as those three angles form a line
as the parallelograms are congruent, and we can visually notice that ∠IBA corresponds to angle ∠JBC, we can say that ∠IBA = ∠JBC
thus,
∠IBA + ∠IBJ + ∠JBC = 180°
54° + ∠JBC + ∠JBC = 180°
54° + 2∠JBC = 180
subtract 54 from both sides to isolate the variable and its coefficient
126° = 2∠JBC
divide 2 from both sides to isolate the variable
∠JBC = 63°
adjacent angles in a parallelogram add up to 180°
∠JBC and ∠BJD are adjacent angles in a parallelogram
∠JBC + ∠BJD = 180°
63° + ∠BJD = 180°
subtract 63 from both sides to isolate the variable
∠BJD = 117°
Each of the letters in the word MATHEMATICS are written on separate index cards. The cards are then placed in a hat. What is the probability of randomly drawing an index card with a vowel on it from the hat? Write you answer as a fraction. Example a/b
Total number of pieces of paper = 11
Number of pieces with a vowel = 4
Probability of picking a vowel = 4/11 (answer)
Find four numbers that are evenly divisible by both 2 and 9
Answer:
18
36
72
144
Step-by-step explanation:
For numbers to be divisible by 2 they must end in an even number
For numbers to be divisible by 9 the sum of the digits must be divisible by 9
I just need the graph coordinates
Answer:
Step-by-step explanation:
(0,2), (2,3), (4,4), (6,5), (8,6), (10,7) are the coordinates.
2 Select the correct answer. Consider functions f and g. Which statement gives the best approximation of the solutions of the equation ? A. The solutions are where the graphs of the functions cross the x-axis at and . B. The solutions are where the graphs of the functions cross the x-axis at and . C. The solutions are where the graphs of the functions intersect at and . D. The solutions are where the graphs of the functions intersect at and .
Step-by-step explanation: I think not sure.
Answer: The solutions are where the graphs of the functions intersect at x = -3.464 and x = 3.464
Step-by-step explanation:
TIMED FINAL PLEASE ANSWER
Which graph represents the following piecewise defined function?
do you still have time?
.........
what is the area of the small square?
Answer:
4
Step-by-step explanation:
Since it is a square all sides are the same. For the first one 5 x 5 eqals 25. For the second one since it has a 2 on one side we multiply 2 x 2 to get 4.
please help me...asap
Which student spends the most time at the beach?
Describe the data you would expect someone to collect from this question?
Answer:
someone would probably collect the amount of students go to the beach and how they spend their time at the beach.
If Tshepo and his friends take N6 from Bloemfontein which town are they going to pass on their way to East London?
The town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.
Where is the N6?The location is a national route in South Africa that connects the East London with Bloemfontein the via route of Komani and Maletswai.
The Komani is a town in the middle of the Eastern Cape Province of South Africa while the Maletswai is also a town in central South Africa on the banks of the Orange River, Eastern Cape Province of SA.
Therefore, the town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.
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Find the area of each parallelogram below.
Answer:
area of first
parallelogram
= 25x8
=200m^2
area of second
parallelogram
12x7
=84f^2
Step-by-step explanation:
I hope it's helpful for you
Which expressions are equivalent to -6+4q+(-6q)−6+4q+(−6q)minus, 6, plus, 4, q, plus, left parenthesis, minus, 6, q, right parenthesis ?
Choose all answers that apply:
(Choice A)
-6(q+1)-4q−6(q+1)−4qminus, 6, left parenthesis, q, plus, 1, right parenthesis, minus, 4, q
(Choice B)
2(q-3)2(q−3)2, left parenthesis, q, minus, 3, right parenthesis
(Choice C)
None of the above
The expressions equivalent to -6 + 4q + (-6q) is C. None of the above
Which expressions are equivalentThe expression -6 + 4q + (-6q) can be simplified to -2q - 6,
Evaluating the given options, we have
Option (b); 2(q - 3) = 2q - 6
Option (c): -6(q + 1) - 4q = -10q - 6
Therefore, None of the above expressions are equivalent
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someone please help me what is (m - 5) divided by 4 where 5 = 17
A copy machine prints 10 copies per 1/5 minute. At what rate, in copies per minute, does the copy machine print?
Answer:
50 copies/minute
Step-by-step explanation:
10 copies = [tex]\frac{1}{5} minute[/tex]
So to find the number of copies per minute, multiply the equation by 5:
50 copies = 1 minute
Answer:
50 per minute
Step-by-step explanation:
We are given the information that the copy machines prints 10 per 1/5 minute. In order to find the rate per one minute, we can multiply both values by 5. This is because 1/5 x 5 = 1, since we multiply by 5x the given time, the machine will produce 5x the amount of copies in that amount of time.
10x5 = 50
Therefore the machines prints 50 copies per minute.
Hope this helped!
The robotics club has created 10 racing robots for the end of year science fair. each robot has the same chance of winning the race. what are the chances that robot a and robot b finish in the top three spots, but robot c is not in the top three?
Answer: [tex]\frac{7}{120}[/tex]
Step-by-step explanation:
Zoey goes out to lunch. The bill, before tax and tip, was $9.45. A sales tax of 3% was added on. Zoey tipped 15% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answer:
$11.34
Step-by-step explanation:
I think you meant tenth where you said “nearest cent”, so it’s $11.30.
Answer:
$11.34
Step-by-step explanation:
i hope u get this right.
I need help with this question please
Answer:
85 cm
Step-by-step explanation:
the strut forms a right triangle with the end of the pole.
let the ends of the strut be x from the top of the pole . then
using Pythagoras' identity with 2 legs x and hypotenuse 1.2
x² + x² = 1.2²
2x² = 1.44 ( divide both sides by 2 )
x² = 0.72 ( take square root of both sides )
x = [tex]\sqrt{0.72}[/tex] ≈ 0.85 m ( to 2 dec. places )
the ends are 0.85 m = 85 cm from the top of the pole
Need to know the answer to this
Answer:
B. Multiply/divide only one side by a non-zero constant
Step-by-step explanation:
Equation B is dividing the left side of the equation by 3, which is a non-zero constant, but it is not dividing the right side of the equation.
A teacher kept track of how much money each of her students raised for the fundraiser. She put the data in the line plot graph. How many students raised $50 or more? A) 2 B) 3 C) 4 Eliminate D) 5
Answer:
The answer is C!
Step-by-step explanation:
You just have to count the all the x's that are at 50 and after!
I hope this helps you!
Answer:
C) 4
Step-by-step explanation:
All the X's are the amount of students. Now we eliminate everything before 50.
Now we count the X's which will be 4
Hope this helps :D
Find side b if side a = 8.5 inches and side c = 15 inches.
inches
c
b
a
а
Type the correct answer, then press Enter. Use the
calculator if necessary. Round to the nearest
hundredth if the answer is uneven.
A spinner with 6 equally sized sliced has 2 blue slices 1 yellow slice and e red slices the dial is and stops on a slice at random what is the probability that the dial stops on a blue or yellow slice
Answer:
1/2 or 50%
Step-by-step explanation:
There are 2 blue slices and 1 yellow slice. Then there are 3 red slices. Since 3 is half of 6, and the blue and yellow slices make 3, The answer will become 1/2 0r 50%.
What is the surface area of the square pyramid
Answer:
[tex]33 {ft}^{2} [/tex]
Step-by-step explanation:
SA = 4(Area of ) + Area of ⬜
= 4(bh/2) + l*b
[tex]4(3 {ft}\times 4ft) \div 2 + (3ft \times 3ft)[/tex]
[tex]4 \times (12 {ft}^{2}) \div 2 + 9 {ft}^{2} [/tex]
[tex]24 {ft}^{2} + 9{ft}^{2} [/tex]
[tex]33 {ft}^{2} [/tex]
help me guys!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
range is 5
mean is 9
Step-by-step explanation:
us I a calculator or otherwise, calculate the exact value of 1 4/7 ÷ 2/3 - 1 5/7
BEST ANSWER :
[tex]1 \frac{4}{5} \div \frac{2}{3} - 1 \frac{5}{7} [/tex]
=
[tex] \frac{7 + 4}{7} \div \frac{2}{3} - 1 \frac{5}{7} \\ \frac{11}{7} \div \frac{2}{3} - 1 \frac{5}{7} \\ \frac{11}{7} \div \frac{2}{3} - \frac{7 + 5}{7} \\ \frac{11}{7} \div \frac{2}{3} - \frac{12}{7} \\ \frac{11}{7} \times \frac{3}{2} - \frac{12}{7} \\ \frac{11 \times 3}{7 \times 2} - \frac{12}{7} \\ \frac{33}{7 \times 2} - \frac{12}{7} \\ \frac{33}{14} - \frac{12}{7} \\ \frac{33}{14} - \frac{12 \times 2}{14} \\ \frac{33}{14} - \frac{24}{14} \\ \frac{33 - 24}{14} \\ \frac{9}{14} [/tex]
pls answer QUICKLY!!!!!!!!!!!!!!
its just basic geo on khan
thank u :))))
The arc measure of the arc BC is 155°.
What is the arc measure of an arc of a circle in degrees?A complete circle has an arc, that is, a central angle of 360°. whose sum of angles is shown below:
AD + AB + BC + CD = 360°
Where AD = 155°
Since the four angles are generated by two diameters, then we find that AD = BC and AB = CD. Hence:
2 · AD + 2 · AB = 360 Given
AD + AB = 180 Compatibility with multiplication / Existence of the multiplicative inverse / Modulative property
AB = 180 - AD Compatibility with addition / Existence of the additive inverse / Modulative property
AB = 180 - 155 Given
AB = 25 Definition of subtraction / Result
Then, the arc measure of the arc BC is 155°.
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