Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
−[tex]2x^2=-x^2-5x-1[/tex]1
Step 1: Subtract -x^2-5x-1 from both sides.
[tex]2x^2-(-x^2-5x-1)=-x^2-5x-1-(x^2-5x-1)[/tex]
[tex]3x^2+5x+1=0[/tex]
For this equation: a=3, b=5, c=1
[tex]3x^2+5x+1=0[/tex]
Step 2: Use quadratic formula with a=3, b=5, c=1.
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(5)+\sqrt{(5)^2-4(3)(1)} }{2(3)}[/tex]
[tex]x=\frac{-5+\sqrt{13} }{6}[/tex]
[tex]x=\frac{-5}{6}+\frac{1}{6}\sqrt{13}[/tex] or [tex]x=\frac{-5}{6}+\frac{-1}{6}\sqrt{13}[/tex] This is the answer
I hope to help you :)
does anyone know the answer to this? If so can u please help me.
Answer:
[tex] m\angle M = 90\degree\\
m\angle L = 24\degree[/tex]
Step-by-step explanation:
LM is tangent to the circle at point M and NM is radius.
[tex] \therefore NM\perp LM.. (radius \perp tangent) \\
\huge\orange {\boxed {m\angle M = 90\degree}} \\[/tex]
By interior angle sum postulate of a triangle, we have:
[tex] m\angle L + m\angle M + m\angle N = 180\degree \\
m\angle L + 90\degree + 66\degree = 180\degree \\
m\angle L + 156\degree = 180\degree \\
m\angle L = 180\degree - 156\degree \\
\huge\red {\boxed {m\angle L = 24\degree}} \\[/tex]
A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
quick plz....When √98- √128 is simplified it is equal to:
A,15√2
B, -√30
C. -√2
D. 10√3
Answer:
[tex]-\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{98} -\sqrt{128}[/tex]
[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]
[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]
[tex]7\sqrt{2}-8\sqrt{2}[/tex]
[tex]=-\sqrt{2}[/tex]
Find 310% of 150. a number blank
Answer:
465
Step-by-step explanation:
Of means multiply
310% * 150
Change to decimal form
3.10 * 150
465
Answer:
465
Step-by-step explanation:
1 percent of 150 is 1.5.
Multiply 1.5 by 310 to 465
There are 80 pupils in Jaydon's year group.
30% walk to school. 15% cycle to school. The rest get a bus.
How many pupils walk to school?
go
Show me the answer
How many pupils get the bus?
go
Answer:
walk is 24 people
bus is 44 people
Step-by-step explanation:
100% is 80
30% walk
15% bike
55% bus
work out 30%
so 50% is 40
25% is 20 (dived by 2)
5% is 4 (divide 50 by 10)
30% is 24
for bus do 50% is 40
5% is 4
55% is 44 (add)
Alhondro wants to determine the average shoe size of all of male students in his school
The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side lengths of x + 8.
Answer:
60
Step-by-step explanation:
Since the perimeters are equal then:
(3x + 3) * 4 = (x + 8) * 5
12x + 12 = 5x + 40
7x = 28
x =4
Perimeter of square = (3*4 + 3) * 4 =
(12 + 3) * 4 = 60
Perimeter of pentagon = (4 + 8) * 5 =
(12) * 5 = 60
The answer is 60
Correct answer gets marked as Brainliest!!! (A1) is the question
Answer:
See attached:
Abcd is a rectangle.
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
Is this a reasonable answer?
Answer:
yes
Step-by-step explanation:
15.3-7.9=7.4
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog Three-fifths milligram of the medicine, which equation relates the weight, w, and the dosage, d? d = StartFraction 1 Over 50 EndFraction w d = three-fifths w d = 18 w d = 50 w
Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.
[tex]\frac{3}{5} =k(30)[/tex]
Divide both sides by 1/30 to get k alone.
[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and
[tex]k=\frac{1}{50}[/tex]
Our model then is
[tex]d=\frac{1}{50}w[/tex]
This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:
A
Step-by-step explanation:
Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1
Answer:
D
Step-by-step explanation:
I took the test, dont listen to the person above me:)
Answer:
y<x+1
Step-by-step explanation:
Is (1, 2) a solution of the system y>2x and x+y<3?
Answer:
no
Step-by-step explanation:
Let's check the first statement. 1 > 2 * 2 becomes 1 > 4. This is a false statement so the answer is no.
It is not a solution. 2x=2 and 2 is not bigger than 2 (which is y).
x+y = 1+2=3. # is not bigger than 3.
3x2 + 2x - 5 and -4 + 7x2
Answer:
3×2+2x-5
6-5+2x
1+2x
-4+7×2
-4+14
10
Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2
If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.
Which graph do we get when the leading coefficient is negative?Here we start with the polynomial:
[tex]f(x) = 2x^4 + 2x + 2[/tex]
The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.
Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).
The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.
If you want to learn more about polynomials:
https://brainly.com/question/4142886
#SPJ2
The function g(x) is a transformation of f(x), and g(x) = f(x) + 2. What type of transformation of f(x) is g(x)? A. dilation B. horizontal translation C. reflection D. vertical translation
Answer:
This is called a vertical translation, which is answer D.
Step-by-step explanation:
Given: g(x) = f(x) + 2.
This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).
The type of transformation is called a vertical translation, which is answer D.
using the side lengths, determine whether the triangle is acute, obtuse or right 9 5 10
An acute triangle
Step-by-step explanation:
Using a calculator, these measurements fit an acute scalene triangle.
Answer:
acute
Step-by-step explanation:
Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:B
Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero
Answer: I believe it’s B
Step-by-step explanation:
Which line segment is only a chord of F?
Answer:
line AB is a chordStep-by-step explanation:
Any line that segments a circle and joins two points at the circumference of a circle is called a chord.
line AB is a chord
While
line EC is a diameter
line DF is a radius
Answer:
Correct Answer should be AB
Step-by-step explanation:
I toke the quiz so I know its correct
1) a × a 2) a × a × a 3) b × b × b × b 4) a × a × b × b 5) a × a × a × b × b 6) a × a × b × a 7) a × b × a × a × b 8) b × a × a × a × b
Answer:
1) [tex]a^2[/tex]
2) [tex]a^3[/tex]
3) [tex]b^4[/tex]
4) [tex]a^2b^2[/tex]
5) [tex]a^3b^2[/tex]
6) [tex]a^3b[/tex]
7) [tex]a^3b^2[/tex]
8) [tex]a^3b^2[/tex]
Step-by-step explanation:
1) a × a = [tex]a^2[/tex]
2) a × a × a = [tex]a^3[/tex]
3) b × b × b × b = [tex]b^4[/tex]
4) a × a × b × b = [tex]a^2b^2[/tex]
5) a × a × a × b × b = [tex]a^3b^2[/tex]
6) a × a × b × a = [tex]a^3b[/tex]
7) a × b × a × a × b = [tex]a^3b^2[/tex]
8) b × a × a × a × b = [tex]a^3b^2[/tex]
Answer:
What is the question?
Step-by-step explanation:
the radius of wheel of a bicycle is 40 cm. taking pie =3.14, a)find tthe circumference of the wheel.b) find the distance covered by the bicycle in 200 complete revolution of the wheel.please ans this question. i beg you
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.
The cost of 3 cans of pineapple at Superway Store is $2.25, and the cost of 6
cans of the same kind of pineapple is $4.80 at Grocery Giant. Which store
has the better price for the pineapple?
Answer:
Grocery Giant has the better price for the pineapple.
Step-by-step explanation:
Superway Store
3 cans of pineapple is 2.25
Grocery Giant
6 cans of pineapple is 4.80
Superway Store 6 cans is 2.25 + 2.25 = 4.50
Which means that Superway Store is cheaper by 30 cents
Need help people pls
I need help pls i have to be done by 2
Answer:
ASA postulate: 1 side, 2 angles equal
Step-by-step explanation:
ASA postulate: 1 side, 2 angles equal
What are lines called in Riemann's spherical geometry?
O A. segments
O B. great circles
O C. diameters
O D. great lines
Answer:
B
Step-by-step explanation:
Great circles are the largest possible circles that can be drawn around a sphere and are the lines called in Riemann's spherical geometry.
*Will mark brainliest*
Answer:
B
Step-by-step explanation:
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t – 7
How fast did Mr. Mole descend?
Answer:
He's descending at a pace of 2.3 meters per minute.
Step-by-step explanation:
This is because the equation shows us the slope or the speed he's going at.
A= -2.3t - 7
A= Altitude
-2.3 = Slope
- 7 is his starting altitude in meters
But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.
And you graph it to see the progression in slope.
Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.
Answer:
195 m.
Step-by-step explanation:
The time for the sound waves to reach the fish is 0.26/2 = 0.13 seconds.
Distance = speed * time
= 1500 * 0.13
= 195 m.
(25 POINTS) Write the inequality of the following graph?
Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2