Any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.
Given quadratic equation is:
[tex]x^{2} +bx+5=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.
To have two real number solutions the discriminant of a quadratic equation should be greater than or equal to zero.
[tex]D\geq 0[/tex]
[tex]b^{2} -4(1)(5)\geq 0[/tex]
[tex]b^{2}-20 \geq 0[/tex]
[tex]b^{2} -(2\sqrt{5}) ^{2}\geq 0[/tex]
[tex](b+2\sqrt{5} )(b-2\sqrt{5} )\geq 0[/tex]
b∈[tex](-\infty,-2\sqrt{5}][/tex]∪[tex][2\sqrt{5},\infty)[/tex]
Hence, any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.
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What number goes in the box?
394 -
= 153
A 242
B 547
C 240
D 241
Answer:
d
Step-by-step explanation:
394-153=241
PLease help me
I will give a maybe brainly and
a thanks and 3 - 5 stars
PLEASE PLEASE
Answer:
The blank would be 2.
Step-by-step explanation:
Step 1. Notice that a equals 2.
Step 2. See that 7a means 7 x a
Step 3. See that theblank equals 7x2
Step 4. Get the answer of 14 (if needed)
I hope this helps! :)
Answer:
You would put 2 in the little box
Step-by-step explanation:
When there is a letter right next to a number, you are multiplying. The expression would be 7x2 giving you the answer of 14
Hope this helped!
i do not know this answer
Answer:
Move all terms that don't contain x to the right side and solve. x = 10 − 2 y
Step-by-step explanation:
Is x greater than less than or equal to 46 degree
HELP NO HURRY TAKE YO TIME FOR MY SISTERRR
Answer:
make me brainliest plsssssssss
Step-by-step explanation:
A
Evaluate the expression if x=2, y=7, and z = -4
(z - x) + y
Answer:
1
Step-by-step explanation:
Evaluate (z - x) + y if x = 2, y = 7, and z = -4
(z - x) + y <== substitute the numbers for the variables
(-4 - 2) + 7
-6 + 7 <== add
1
Hope this helps!
Find the volume, in cubic centimeters, of the rectangular prism pictured below.
3 cm
| 21 cm
2 cm
(Your answer must be entered as a mixed number with a simplified fraction)
HURRY
Answer:
Step-by-step explanation:
Formula
Use V = L*w* h
Givens
L = 3 cm
w = 2 1/2 cm
h = 2 1/2 cm
Solution
V = 3 * 2 1/2 * 2 1/2
Answer: V = 18 3/4 cm^3
What is the approximate value for
683/22
A. 20
B. 21
C. 25
D. 31
D. 31 ( roundest to the nearest whole number)
[tex]\dashrightarrow \ \sf \dfrac{683}{22}[/tex]
[tex]\dashrightarrow \ \sf 31\dfrac{1}{22}[/tex]
[tex]\sf \dashrightarrow \ 31.04545[/tex]
whole number: 31remainder: 1divisor: 22Compare using >, <, or=.
3 miles
5,000 yards
Answer:
3 miles > 5,000
Step-by-step explanation:
hope this helps :)
have a great day or night.
pls brainliest first to answer.
PLEASE HELP MEEEEE!!!!!
Answer:
d= 50m
Step-by-step explanation:
I used the Pythagorean Theorem to solve this.
30^2+ 40^2= x^2
900+1600=x^2
2500=x^2
x=50
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
10 ft
2 ft
2 ft
20 ft
What is the area of the kite?
Answer:
60ft^2
Step-by-step explanation:
area= 1/2(b)(h)
b for both traingles is 4
height of 1 triangle is 10 and the other is 20
total are will equal both triangles added together
area of first triangle = 1/2(10)(4)= 20ft^2
area of second triangle = 1/2(20)(4)= 40ft^2
area of the kite= 20+40= 60ft^2
Simplify ratio
1. 65:15
2. 56:45
3. 98:24
4. 380:56
5. 246:39
6. 98:112
7. 54:12
8. 87:15
9. 47:17
10. 90:117
1) 13:3
2) Same
3) 49:12
4) 95:14
5) 82:13
6) 7:8
7) 9:2
8) 29:5
9) Same
10) 10:13
Your basically dividing them by each other on a calculator
E.g. 90 ÷117 = 10/13
(10:13)
Or
20:30
20÷30=2/3
(2:3)
So, you could find the HCF of both numbers.
( highest factor of 20 & 30 is 10)
Hope this helps!
Bud is a teacher in the science, technology, engineering, and mathematics career cluster. he is thinking about changing his career as he does nto see much growth in teaching. he is thinking of moving into private industry. why might this be a good move for bud? he can return to a university or community college and train for a new career. he can return to doing what he loves, even if there are more regulations. he can return to a career that is expected to grow faster than most industries. he can return to doing what he loves, even though he will earn less money.
Answer:
C He can return to a career that is expected to grow faster than most industries.
Step-by-step explanation:
Answer:
It's C, Not Capping
Step-by-step explanation:
Got 100% On The Unit Test Review :)
Find the perimeter of each figure in feet, 48 in 3yd 5ft 1yd .
Answer:
Step-by-step explanation:
Remark
First of all, all the units must be the same. Inches is probably the best unit to use.
Second the base line at the bottom must be completed. How long is it
Givens
Left side = 48 inches
Top = 3 yards
1 yard is 36 inches.3 yard is 3* 36 = 108 inches.Right side = 5 feet.
1 foot = 12 inches5 feet = 12 * 5 = 60 inchesBottom = 1 yard + top
Bottom = 1 yard + 3 yards
Bottom = 4 yards
1 yard = 36 inches4 yards = 144 inchesPerimeter = 144 + 60 + 108 + 48
Perimeter = 360 Inches.
Answer
Perimeter = 360 inches
Perimeter = 360 / 12 = 30 feet There are 12 inches in a foot
Perimeter = 360 / 36 = 10 yards. There are 36 inches in a yard
The question does not specify the units. Probably inches would work, but if a computer is marking your answer and you get it wrong, you are going to have to try the other two answers in turn.
A 40-pound case of bananas costs $23.60. How much would a 70-pound case cost?
Answer:
$41.30
Step-by-step explanation:
First, divide 23.60 by 40
23.60/40 = 0.59
0.59 is the unit price, (or the worth of one {1} pound case)
0.59 * 70 = 41.3
$41.30 is the cost of a 70-pound case of bananas
hope this helps :)
Is the pair of angles supplementary 81 ° and 9 °
Yes or No?
Answer:
No, They are complementary
Step-by-step explanation:
Supplementary is when the angles add up to 180 degrees.
Complementary is when the angles add up to 90 degrees.
Answer:
No it isn’t a supplementary angle because supplementary angles add up to 180 degrees. 81+9=90
Step-by-step explanation:
Jim’s mom ordered 9 pizzas for his party. If each person eats 1/3 of a pizza, how many people can eat pizza at Jim’s party?
Answer:
27 people can eat pizza at Jim's Party
Step-by-step explanation:
If you divided each pizza by 3, 3 people a pizza right, so 3 x 9 would get you the number of people that can eat pizza at the party, hope this helps! :D
Susu is solving the quadratic equation 4x2-8x-13=0 by completing the square. her first four steps are shown in the table. a table listing the first few steps in deriving the quadratic formula in which step did susu first make an error? step 1 step 2 step 3 step 4
The error is in step 2 in step 2 Susu forgot to divide 8 by 4 for finding the solution of a quadratic equation.
What is a quadratic equation?The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2). It is also called an "Equation of Degree 2"
Susu is solving the quadratic equation [tex]4x^2-8x-13=0[/tex] by completing the square
To apply to completing the square method we need to get x^2 alone
Susu added 13 on both sides. So step 1 is correct
When we factor out 4, we divide both terms by 4
[tex]4(\dfrac{4x^2}{4}-\dfrac{8x}{2})=13[/tex]
[tex]4(x^2-2x)=13[/tex]
Susu forgot to divide 8 by 4
So , error in step 2
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Answer:
Step-by-step explanation:
2
2. Draw what might be the missing figure in
the pattern below.
Answer:
Please also attach the figure or the pattern like this.
What is .006 as a percent
Answer:
.006 as a percentage is .6%
Step-by-step explanation:
Multiply your number by 100 to get the percentage.
.006 x 100 = .6
Therefore, your answer is .6%.
What is the area of this figure?
Answer:
44 square units
Step-by-step explanation:
We can split the figure into 4 separate figures :
Left triangleRight triangleRectangleBottom right triangleArea of the left triangle
Area = 1/2bh1/2 x 4 x 36 square units [A₁]Area of the right triangle
It has the same lengths for base and height as the left triangleA₁ = A₂6 square units [A₂]Area of the rectangle
Area = lb8 x 324 square units [A₃]Area of the right triangle
Area = 1/2bh1/2 x 8 x 28 square units [A₄]Area of the figure
A₁ + A₂ + A₃ + A₄6 + 6 + 24 + 830 + 1444 square units74. The mean of 50 test scores was calculated as 88.
But, it turned out that one of the scores was
misread at 94 but it was 69. What is the mean?
85
87
87.5
88.5
The mean if the scores was misread at 94 but it was 69 is 87.5
How to find the mean of a number?Mean is also known as average. It is mathematically represented as:
Mean = Sum of data/Sample space
Given the following parameters
Mean = 88
Sample size = 50
Substitute
88 = Sum/50
Sum = 88(50)
Sum = 4400
If one of the scores was misread at 94 but it was 69, hence;
Sum + (94-69) = 4400
Sum + 25 = 4400
Sum = 4400 - 25
Sum = 4331
New mean = 4375/50
New mean = 87.5
Hence the mean if the scores was misread at 94 but it was 69 is 87.5
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A circle has exactly four lines of symmetry.
True
Or
False
Answer:
no false it has infinite
Jessica is standing 2 miles from the center of the
base of Pikes Peak and looking at the summit of the
mountain, which is 1.4 miles from the base.
With what angle of elevation is Jessica looking at
the summit of the mountain?
In the given circle with the centre O,
angle ABC = 100° angleACD = 40° and CT is a tangent to the circle at C. Find Angle ADC and Angle DCT.
Step-by-step explanation:
As the points A, B, C and D lie on a circle, So, ABCD is a cyclic quadrilateral...
As, Sum of opp. ∠s in a cyclic quadrilateral = 180°
∴ ∠ADC + ∠ABC = 180°
=> ∠ADC + 100° = 180° => ∠ADC = 80°
Now,
Sum, of all angles in a traingle = 180°
In ΔACD, ∠CAD + ∠ADC + ∠ACD = 180°
=> ∠CAD + 80° + 40° = 180°
=> ∠CAD = 180° - 80° - 40° = 60°
As CT is tangent to the circle at the point C and CD is a chord of the circle, So
∠DCT = ∠CAD........(∠s in alternate segments are equal,,So ∠CAD = 60°)
=> ∠DCT = 60°
Hope it helps you!!Answer:
See below ~
Step-by-step explanation:
∠ADC
∠ABC + ∠ADC = 180° (Angles in a cyclic quadrilateral)∠ADC = 180° - 100° = 80°∠DCT
∠DCT = ∠CAD (ANGLES IN ALTERNATE SEGMENTS EQUAL)∠CAD = 180° - 80° - 40° = 60°∠DCT = 60°What is the y-intercept of the line: 8x - 4y = 20
Answer:
The y-intercept is 5
Step-by-step explanation:
First Step is to set y by itself:
4y = -8x + 20
y = -2x + 5
Remember: y = mx + b and b is the y intercept
b = 5
Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would you have the most confidence in?
A. 200
B. 2000
C. 20
D. 2
Answer:
2000
Step-by-step explanation:
larger sample sizes have more reliable results
How can you decompose the composite figure to determine its area? as three triangles and a circle as two triangles, a rectangle, and a circle as a triangle, a pentagon, and a semicircle as a triangle, a rectangle, and a semicircle
We can decompose the composite figure into a triangle, a rectangle, and a semicircle in order to find the area of the composite figure.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
The area of the composite figure is equal to the sum of area 1, area 2, and area 3
Area 1 - triangle
Area 2 - rectangle
Area 3 - semicircle
We can decompose the composite figure into a triangle, a rectangle, and a semicircle in order to find the area of the composite figure.
Hence option d is correct.
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Answer:
option D
Step-by-step explanation:
What is the value of x in the equation 2(x−3) 9=3(x 1) x? x = −3 x = −1 x = 0 x = 3
The solution of the linear equation is x = 0.
What is the linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.
Linear equations are the equations of degree 1.
The given linear equation is;
[tex]\rm 2(x-3)+ 9=3(x+ 1) +x[/tex]
The value of x is determined in the following steps given below.[tex]\rm 2(x-3)+9=3(x+1)+x\\\\2x-6+9=3x+3+x\\\\\ 2x+3=4x+3\\\\3-3=4x-2x\\\\0=2x\\\\x=0[/tex]
Hence, the solution of the linear equation is x = 0.
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Answer:
x=0
Step-by-step explanation:
...
Which of the following produces the loudest sound?