The quadratic equation will have no real solutions.
Given quadratic equation is: [tex]ax^{2} +bx+c=0[/tex]
What is the discriminant of a quadratic equation?The discriminant(D) of a quadratic equation is [tex]D=b^{2}-4ac[/tex]. It depicts the nature of the roots.
[tex]D > 0[/tex] the roots are real and distinct.
[tex]D=0[/tex] the roots are real and equal.
[tex]D < 0[/tex] the roots will be imaginary.
We have [tex]D=-16[/tex] which is negative.
So, the roots will be imaginary.
So, the given quadratic equation will have no real solutions.
Hence, the given quadratic equation has no real solutions.
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A figure is composed of two cubes. The side lengths of the larger cube are twice the side length of the smaller cube. If the total volume of the cubes is 1,944 m3, what are the side lengths of the two cubes? Enter the smaller dimension first
The side lengths of the two cubes are 6 meters and 12 meters respectively.
How to calculate the volume of a cube?Mathematically, the volume of a cube is calculated by using this following formula:
Volume = m³
Where:
m is the side lengths of a cube.
Translating the word problem into an algebraic expression, we have;
m³ + (2m)³ = 1944
m³ + 8m³ = 1944
9m³ = 1944
m³ = 1944/9
m = ∛216
m = 6 meters.
For the bigger cube:
2m = 2 × 6
2m = 12 meters.
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please help me on this one and hurrry please
Answer: 10/30
Step-by-step explanation:
There are 30 cards and 10 - 10= 0. So it’ll just be 10/30
Which expression is equivalent to 36 a minus 27?
Answer:
9(4a minus 3) is equivalent to 36a minus 27.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved. He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.
The two times Tyler selects a shirt from the suitcase are __________ events.
The probability that he selects a short-sleeved shirt both times is ________.
options for blank 1: independent, dependent
options for blank 2 :15/28, 9/16, 3/4, 9/14
Answer:
independent
9/16
Step-by-step explanation:
The events are independent events since he puts the first shirt back
P( short sleeve) = number of short sleeve)/ total
= 6/8 = 3/4
P ( short sleeve, short sleeve) = 3/4 * 3/4 = 9/16
Somebody pls help me do this
Answer:
-0.7 + 0.5 - 0.3
= -1 + 0.5
= -0.5 pound(s)
-0.5 = -5/10
plot your point at -5/10
(for the number line)
Bob can paint a house in 9 hours. Jim can paint it in 10 hours. How long would it take them to paint the house working together?
Answer:
Well they are 2 possible answers. 10 - 9, and 10 + 9. I don't know what answers you can choose, and what operation you use but those were the only I got. I'm sorry if this didn't help.
Step-by-step explanation:
I need help on the question in the image
A function f(x) has x-intercepts of –3 and –5. what is the constant term in the function? f(x) = x2 8x
The constant term in the function f(x) = x² + 8x + 15 would be 15.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
A function f(x) has x-intercepts of –3 and –5 means
f(x) = (x+3)(x+5)
f(x) = a(x + 3)(x + 5), here a is a multiplier
let a = 1 then
f(x) = (x + 3)(x + 5) (expand factors)
f(x) = x² + 8x + 15
thus, 15 is the constant term
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6.
What are the focus and the directrix of the graph of x =
2012
1
-J22 (1 point)
(
24
O focus (0, -6), directrix x = 6
O focus (6,0), directrix x = -6
O focus (0,6), directrix y = -6
O focus (-6, 0), directrix y = 6
Two students are pulling an object with ropes. one student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground. what is the direction of the resultant force?
The magnitude of the force of 34.64 is more than the magnitude of the force of 24.75. The direction of the force is on the 34.64 sides.
What is force?The product of mass and its acceleration is known as force.
Two students are pulling an object with ropes. one student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle of 45° above the ground.
Then the direction of the force will be
→ 40 × cos 30° = 34.64
→ 35 × cos 45° = 24.75
Then
34.64 - 24.75 = 9.89
Then the direction of the force is on the side of 40 pounds.
More about the force link is given below.
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Answer: the direction of the resultant force is 37.33 degrees above the ground.
Step-by-step explanation:
edge :)
The sphere of mass m and radius r is rigidly attached to a thin rod of radius r that passes through the sphere at distance 12r from the center. A string wrapped around the rod pulls with tension t.
The expression for the angular acceleration of the sphere will be 20Tr/13MR².
What is angular acceleration?It should be noted that angular acceleration simply means the time rate of change of the angular velocity.
From the information given, I = (2/5(MR² + M(R/2)² = MR²(2/5 + 1/4) = 13MR²/20
The torque (Q) will be Tr. Therefore, the expression for the angular acceleration of the sphere will be:
= Q/I
= Tr/13MR²/20
= 20Tr/13MR²
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Write the number 6\times 10^{-3}6×10 {−3}
in standard form.
Answer:
6 · 10⁻³
Step-by-Step Explanation:
The number 6 time 10 to the power -3 is 6 · 10⁻³ in standard form.
Oak Street and Elm Street run parallel to each other. When Main Street intersects them, it forms interior ∠4, measuring 50°. What is the measure of ∠8?
A. 60°
B. 50°
C. 90°
D. 130°
Answer:
is B). 50
Step-by-step explanation:
What fraction of the class has the number of pets that occurs most often? Express your answer as a percent, too. *
Answer:
i dont think you have included all the info of the question so if you do that i might be able to help you :)
Step-by-step explanation:
What is the product of 4.45 and 2.2?
Answer:
Hello there! I believe it is 9.79
Step-by-step explanation:
Have a great rest if your day!
Answer:
The answer is 9.79
Step-by-step explanation:
4.45 x 2.2 = 9.79
SOLVE THE QUADRATIC FUNCTION
ANSWER CORRECTLY AND GET BRAINLIEST
Answer:
[tex] x = \dfrac{-1 \pm \sqrt{11}}{2} [/tex]
Step-by-step explanation:
(2x - 3)² - 14 = 2x(x - 7)
4x² - 12x + 9 - 14 = 2x² - 14x
2x² + 2x - 5 = 0
[tex] x = \dfrac{-2 \pm \sqrt{2^2 - 4(2)(-5)}}{2(2)} [/tex]
[tex] x = \dfrac{-2 \pm \sqrt{4 + 40}}{4} [/tex]
[tex] x = \dfrac{-2 \pm 2\sqrt{11}}{4} [/tex]
[tex] x = \dfrac{-1 \pm \sqrt{11}}{2} [/tex]
30 POINTS!!!!!!!!!
Which of the following tables represents a function?
A.
B.
C.
D.
PLS ANSWER FAST AND CORRECT!!
Answer:
B
Step-by-step explanation:
Each input is related to exactly one output, and it's progressing in a linear fashion.
Write and solve a proportion to answer the question. Round the answer to the nearest tenth.
What percent of 36 is 20?
Answer:
7.2
Step-by-step explanation:
36 divided by 5 = 7.2
7.2 times 5 = 36.
Peter plays a game where each correct answer gets him -3 points and every incorrect answer gets him 1 point. If he got 6 correct and 4 incorrect answers, how many points does he have? Write an equation and solve.
Help me please thanks
2t + 16
hope it helps...!!!!
2.1. A researcher observed the vehicles passing through a toll booth during a five-minute period. She
observed 14 trucks, 27 SUV'S, 17 compact cars, 22 mid-size cars, and 8 luxury
cars pass through the toll
Based on the data, which percentage is closest to the relative frequency that a vehicle passing through
booth.
the toll booth is an SUV?
Answer:
B- 31%
Step-by-step explanation:
sorry i don’t have the explanation, but i hope i helped
What value of x will make the triangles similar by the sss similarity theorem? x =
The value of x will make the triangles similar by the sss similarity theorem is 77
Simlarity theorem of trianglesA triangle is a 2-dimensional shape with 3 sides and angles
From the given diagram, we will take the ratio of simlar sides to determine the value of "x"
35/x = 20/44
Cross multiply
20x = 35 * 44
20x = 1540
x = 154/2
x = 77
Hence the value of x will make the triangles similar by the sss similarity theorem is 77
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Answer: The answer is 28
If Donald can run 1/3 of a mile in one minute, how much
will he run in one day?
What is the perimeter of kite obde? 17 units 23 units 27 units 60 units
The perimeter is the sum of all sides. Then the perimeter of the kite is 27 units, then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The length of the kite (x) will be given by the Pythagoras theorem
H² = P² + B²
H² = 15² + 8²
H² = 225 + 64
H² = 289
H = 17
Then
[tex]\rm x = \dfrac{H}{2} \\\\x = \dfrac{17}{2}\\\\x = 8.5[/tex]
And another length of the kite is 5 units.
Then the perimeter of the kite will be
Perimeter = 2(8.5 + 5)
Perimeter = 27
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research shows that the probability of a person being right handed is 0.77 how many left handed people would you expect in a population of 25000?
Answer:
Left handed ppl per 100 = 23
Left handed ppl per 25000 = 23 x 250
Answer = 5750
pls mark as brainliest
Which of the following is a Pythagorean triple?
Answer:
C: 8, 15, 17
Step-by-step explanation:
The easiest way to do this is simply to memorize the first few Pythagorean triples. It saves time. But it can also be hard to remember that. To see if something is a triple...
1. [tex]a^{2} + b^2=c^2[/tex]. This means square the first one, the second and add. Then square the last one. The sum of the first two with the last one should be the same.
2. For this to work, they have to be in order from least to greatest. All of these are.
3. Let's fill in the equation:
8^2= 64.
15^2= 225.
225+64= 289
17^2= 289.
It matches! It's a triple.
Need help with at least these questions. Please. I can give 100 points and brainliest to the person who gives a VALID answer
Answer:
360\12=16.36
Step-by-step explanation:
formula=22/7*6*6*10=16.36
A sequence can be generated by using an=an−1+2, where a1=8 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
a) 8, 10, 12
b) 8, 16, 32
c) 2, 16, 128
d) 2, 10, 18
The sequence an=an−1+2 is an arithmetic sequence
The first three terms in the sequence are (a) 8, 10, 12
How to determine the first three terms?The sequence is given as:
an=an−1+2
Where:
a1 =8
Start by calculating a2 using:
a2=a1+2
This gives
a2=8+2 = 10
Calculate a3 using:
a3=a2+2
This gives
a3=10+2 = 12
So, we have:
a1 = 8, a2 = 10 and a3 = 12
Hence, the first three terms in the sequence are (a) 8, 10, 12
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Can someone please give me the awnser?
How do I find the SURFACE AREA of the shape below.
Area of 2 triangles = 2*(1/2)*6*8
= 48 square ft
Area of 1 rectangle = 10*5
= 50 square ft.
Area of 2nd rectangle = 5*6
= 30 square ft.
Area of 3rd rectangle = 5*8
= 40 square ft.
Surface area of figure = 40+30+50+48
= 168 square ft.