Answer:
3/5
Step-by-step explanation:
First one 18^2 - 4(-1)(81) > 0 so no repeated root
Second one (-3)^2 - 4(3) (-168) > 0 so no repeated root
Third one (-4) - (4) (1) (-4) > 0 so no repeated root
Fourth one (-30)^2 - 4(25) (9) = 900 - 100(9) = 0 repeated root
Note this factors as (5x - 3)^2
(5x - 3)^2 = 0 take both roots
5x - 3 = 0
5x = 3
x = 3/5 = repeated root
The quadratic expression [tex]25x^{2} -30x+9[/tex] has repeated root and the repeated root is 3/5
How to know a quadratic has repeated root ?Let, [tex]ax^{2} +bx+c=0[/tex] is a quadratic.
Then the expression ([tex]b^{2}-4ac[/tex]) is called the discriminant of the quadratic.
If [tex]b^{2}-4ac[/tex] = 0 then we can say that the quadratic has a repeated real root.
Which quadratic has repeated root ?The discriminant of [tex]-x^{2} +18x+81[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex]18^{2}-4(-1)(81)[/tex] = 324+324=648 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]3x^{2} -3x-168[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-3)^{2}-4(3)(-168)[/tex] = 9+2016 = 2025 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]x^{2} -4x-4[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-4)^{2}-4(1)(-4)[/tex] = 16+16 = 32 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]25x^{2} -30x+9[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-30)^{2} -4(25)(9)[/tex] = 900-900 = 0
So, This quadratic has repeated root.
The discriminant of [tex]x^{2} -14x+24[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-14)^{2}-4(1)(24)[/tex] = 196-96 = 100 > 0
So, This quadratic has no repeated root.
What is the repeated root ?The equation [tex]25x^{2} -30x+9[/tex] = 0 has repeated root.
Simplifying the equation we get,
[tex]25x^{2} -30x+9[/tex] = 0
⇒ [tex](5x)^{2}-2(5x)(3)+3^{2}[/tex] = 0
⇒ [tex](5x-3)^{2}[/tex] = 0
⇒ 5x-3 = 0
⇒ 5x = 3
⇒ x = 3/5
The repeated root is 3/5.
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Which expressions have the same solution as –4(6)? Check all that apply.
A.–4(– 6) B.4(– 6) C.6(– 4) D.–8(2) E.12(– 2)
Answer:
B, C and E
Step-by-step explanation:
To get the expressions that have the same solution as the given expression;
first, we need to get the result of the given expression.
-4(6) = -4 * 6
-4(6) = -24
the next step is to test each of the given options.
A.
-4(-6) = -4 * -6
-4(-6) = 24
B.
4(-6) = 4 * -6
4(-6) = -24
C.
6(-4) = 6 * -4
6(-4) = -24
D.
-8(2) = -8 * 2
-8(2) = -16
E.
12(-2) = 12 * -2
12(-2) = -24
From options A through E,
option B,C and E have the same result as the expression in the question
Answer: B C E
Step-by-step explanation:
Which points lie on the line whose equation is -8x - 6y - 7 = 17? Select ALL that apply Response : (3,0) (-2,-1) (0,-4) (-9,6) (-6,4)
Answer:
(0;-4)
(-6;4)
Step-by-step explanation:
-8x - 6y - 7 = 17
-8x-6y-24=0
y=-(4x)/3-4
(3;0)
-(4*3)/3-4=8
8≠0
(-2;-1)
-(4*(-2))/3-4=-4/3
-4/3≠-1
(0;-4)
-(4*0)/3-4=-4
-4=-4
(-9;6)
-(4*(-9))/3-4=8
8≠6
(-6;4)
-(4*(-6))/3-4=4
4=4
plz help me. its " joseph runs 2/3 of a mile in 8 minutes. if joseph runs at that speed, how long will it take him to run 1 mile. and show your work". PLZ HELP ME ILL GIVE U 20 POINTS.
Answer:
He runs 2/3 mile in 8 mins, he runs one mile in 12 mins
It will take Joseph 12minutes to run 1 mile
Speed is defined as the ratio of the distance covered to the time taken.
If Joseph runs 2/3 of a mile in 8 minutes, then;
[tex]\frac{2}{3} miles = 8minutes[/tex]
In order to calculate the time it will take Joseph to run 1 mile, we can write:
[tex]1mile=x[/tex]
Divide both expressions
[tex]\dfrac{\frac{2}{3} }{1} =\dfrac{8}{x} \\\dfrac{2}{3}=\dfrac{8}{x}[/tex]
Cross multiply
[tex]2x=3 \times 8\\2x=24\\x=\frac{24}{2} \\x=12minutes[/tex]
This shows that it will take Joseph 12minutes to run 1 mile.
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What is the value of X in the figure?
Answer:
x = 360/7
Step-by-step explanation:
the sum of 3x and 2/4x is supposed to be 180 degrees.
1.- write it as an equation.
3x + 1/2x = 180
2.- Combine like terms.
3x + 1/2x = 7/2x
7/2x = 180
3.- divide.
180 / 7/2 = 360/7
A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per liter, and the other 80 cents per liter. How much of each kind should be mixed to get 2,000 liters of the blend?
Answer:
I actually don't know I am comfused
2. The lengths of two insects are given below.
Ladybug: 10 millimeters
Walking stick: 30 centimeters
What is the difference in length of these two insects in millimeters
A 70 mm
B 20 mm
C 290 mm
D 2,990 mm
The conversion rate of millimetres to centimetres is 10 = 1 (Meaning 10 millimetres will equal one centimetre).
Knowing this, we can convert the centimetres to millimetres by multiplying by 10.
30 x 10 = 300
So a walking stick is 300 millimetres long.
To find the difference, we need to subtract the larger number from the smaller one.
300 - 10 = 290
Therefore the answer is 290mm.
Hope this helps! :)
Please solve these questions 9 to 14
Chose correct answers and will mark as brainliest
Answer:9 yes 10 no 11 b 12 d 13 a 14c
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
25
Step-by-step explanation:
(7,5+2,5).2,5=25
Answer:
12.5
Step-by-step explanation:
The given figure is a trapezium .
Area of Trapezium ;
[tex] \boxed{\frac{a + b}{2} h}[/tex]
given ;
A = 7.5B = 2.5h = 2.5Putting given value into formula
[tex] \frac{7.5 + 2.5}{2} \times 2.5[/tex]
[tex] \frac{10}{2} \times 2.5 \\ [/tex]
[tex]5 \times 2.5 \\ \\ \implies \boxed {\purple{12.5 - answer}}[/tex]
Find the slope and y-intercept of the line
that is graphed on the coordinate grid
below.
A slope: -1; y-intercept: -1
B slope: -1; y-intercept: 1
C slope: 1; y-intercept: -1
Answer:
C
Step-by-step explanation:
The slope is 1. Note how each time x increases by 1 unit, y also increases by 1 unit.
The y-intercept is (0, -1).
Answer C is correct.
What type of triangle, if any, can be formed with angle measures of 32, 126, and 32
-only an acute isosceles triangle
-either an acute isosceles triangle or an obtuse isosceles triangle
-no triangle
-only an obtuse isosceles triangle
Answer:
No triangle
Step-by-step explanation:
All triangles must have angles that measure up to 180 degrees. When you add 32, 32, and 126 you get 190. That means that no triangle can be formed.
I hope this helps!
What is the measure of an interior
angle of a regular 16-gon?
Answer:
Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘ ???
Step-by-step explanation:
Answer:
It’s 157.5
Step-by-step explanation:
Explain, with a test, why the two triangles in each figure are similar. Find the
unknown lengths.
Answer:
x = 3, y = 6
Step-by-step explanation:
In the figure attached,
If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.
By this property,
[tex]\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}[/tex]
[tex]\frac{AB}{AD}=\frac{AC}{AE}[/tex]
[tex]\frac{AD+BD}{AD}=\frac{AE+EC}{AE}[/tex]
[tex]\frac{3}{2}=\frac{x+1.5}{x}[/tex]
3x = 2x + 3
3x - 2x = 3
x = 3
Similarly, [tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]
[tex]\frac{3}{2}=\frac{y}{4}[/tex]
y = [tex]\frac{3\times 4}{2}[/tex]
y = 6
What am i missing? Or am i wrong?
Help.
Pls pls answer this correctly and I will mark it has brainlist pls pls
Answer:
111
Step-by-step explanation:
make them into two rectangles
Answer:
63
Step-by-step explanation:
first you divide them up like that and add them up like this
5+6+5+6+8+6+8+7+5+7=63
HELP ME ILL MARK YOU BRAINLIEST!!!!
Answer:
W.
Step-by-step explanation:
All you have to do is cross check each of the statements with the table.
what is the missing constant term in the perfect sqaure that starts with x^2 - 4x
Answer:
The expression is; x^2 – 4c + 4
Step-by-step explanation:
For the expression to be a perfect square, let us say the constant term should be assigned as ⇒ c;
This creates of following expression;
x^2 - 4x + c
In order to be a perfect square, the discriminant needs to be zero ;
( - 4 )^2 - 4 * ( 1 )c = 0 ,
16 – 4c = 0 ,
4c = 16 ,
c = 4 ,
Solution; The expression is, therefore; x^2 – 4c + 4
What is the decimal expansion of the following fraction?
1/16
___
A. 0.0625
B.1.16
C. 0.0625
D.0.16
Answer:
C
Step-by-step explanation:
just divide 1 by 16
Ms.Nichols math group earned the following grades in math for geometry: 88, 65, 60, 42 , 55, 58, 88, 90 and 85
SHOW YOUR WORK .
Answer:
What kind of answer are you looking for? The Median, the average?
Step-by-step explanation:
Answer:
70.11111111
Step-by-step explanation:
88+65+60+42+55+58+88+90+95=631
631/9=70.11111111
What are the zeros of the polynomial function F(x) = x3 - 5x2 - 6x?
Answer:
The zeros are {2, 3}
Step-by-step explanation:
Please use " ^ " to indicate exponentiation:
F(x) = x^3 - 5x^2 - 6x
Factoring out x, we get:
F(x) = x(x^2 - 5x - 6)
Factoing the quadratic, we get:
F(x) = x(x - 3)(x - 2) = 0
The zeros are {2, 3}
evaluate 8 j - k + 14 when j = 0.25 and k = 1
Answer:
15
Step-by-step explanation:
8 j - k + 14
Let j = .25 and k = 1
8(.25) -1 +14
Multiply
2 -1 +14
Then add and subtract
1 +14
15
Answer:
The answer is 15.
Step-by-step explanation:
8j - 1 + k + 14
8(0.25) - (1) + 14
2 - 1 + 14 = 15
ANSWER ASAP! EASY! I GIVE BRAINLIEST!
Answer:
B
Step-by-step explanation:
One intersection
Answer:
C
Step-by-step explanation:
Plan A:
$ 40 fee plus $0.45 per minute
Plan B:
$70 fee plus $0.35 per minute
a)
Write an expression to represent the cost of Plan A
Answer:
A= 40+.45m
Step-by-step explanation:
A= plan a
40=$40 fee
.45m= .45 per minute
Select all that are measures of angles that are coterminal with a -50° angle.
-770°
-530°
-410°
50°
310°
360°
410°
670°
Answer: -770, -410, 310, 670 degrees
Step-by-step explanation:
Coterminal angles are angles that are have the same sides ... they are essentially the same angle, but are, for example, rotated an extra 360 degrees.
You can add/subtract 360 degrees to check if angles are coterminal:
-770 = -50 - 360 - 360 -- YES, it is coterminal with a -50 degree angle.
-530 [tex]\neq[/tex] -50 - 360 ... -- NO
-410 = -50 - 360 -- YES
50 [tex]\neq[/tex] -50 + 360 ... -- NO
310 = -50 + 360 -- YES
360 [tex]\neq[/tex] -50 + 360 ... -- NO
410 [tex]\neq[/tex] -50 + 360 ... -- NO
670 = -50 + 360 + 360 -- YES
4×[tex]10^{3}[/tex] times what number is equal 16×[tex]10^{5}[/tex]?
There are 500 students in a high school senior class. Of these 500 students
Factor this polynomial completely.
x2 + 3x - 18
Answer:
[tex] \boxed{(x + 6)(x - 3)} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} + 3x - 18 \\ \\ = > {x }^{2} + (6 - 3)x - 18 \\ \\ = > {x }^{2} + 6 x - 3x - 18 \\ \\ = > x(x + 6) - 3(x + 6) \\ \\ = > (x + 6)(x - 3)[/tex]
Answer:
(X-3)(x+6)
Step-by-step explanation:
help help help help plz
Answer: (5, 12, 13).
Step-by-step explanation:
Pythagorean triples are any three side lengths of a right triangle that are all whole numbers.
The most common triples are (3, 4, 5), (5, 12, 13), and (9, 40, 41).
You can test the options given in the Pythagorean theorem to see if they make the theorem correct.
25 + 64 = 100 is not correct.
9 + 16 = 36 is not correct.
25 + 144 = 169 is correct.
1 + 1 = 4 is not correct.
The correct choice is (5, 12, 13).
Answer:
[tex](5 \:, \: \: 12 \: , \: \: \: 13)[/tex]
Third answer is correct
Step-by-step explanation:
PYTHAGORAS theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Let's take one by one.
1)(5,8,10)
[tex] {5}^{2} + {8}^{2} = {10}^{2} \\ 25 + 64 = 100 \\ 89 = 100[/tex]
No,it's not correct.
2)(3,4,6)
[tex] {3}^{2} + {4}^{2} = {6}^{2} \\ 9 + 16 = 36 \\ 25 = 36 [/tex]
No, it's not correct.
3)(5,12,13)
[tex] {5}^{2} + {12}^{2} = {13}^{2} \\ 25 + 144 = 169 \\ 169 = 169[/tex]
Yes,it's correct
4)(1,1,2)
[tex] {1}^{2} + {1}^{2} = {2}^{2} \\ 1 + 1 = 4 \\ 2 = 4 [/tex]
No, it's not correct
SO, IT'S CLEAR THAT THE CORRECT ANSWER IS THE THIRD ANSWER
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the marked up price of the item.
Original Cost: $7.50
Markup: 32%
The marked up price is:
Answer:
$9.90
Step-by-step explanation:
a line with a slope of 1/2 passes through the point (2, -1) what is the Equation of the line
Answer:
y=1/2x-2
Step-by-step explanation:
Hope this helps!
Use the right triangle ABC. The figure is for reference only and is not drawn to scale. If AC = 16 cm and AB = 34 cm what is the length BC?
Answer:
AB = 34 and AC = 16
BC^2 = 34^2 - 16^2
BC^2 = 1,156 - 256
BC^2 = 900
BC = 30
Step-by-step explanation: