Solve the following quadratic equation for all values of x in simplest form.
Answers
Answer:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
Step-by-step explanation:
Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].
[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].
Factor out the 5, then isolate [tex]x^2[/tex]:
[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].
Therefore, the solutions to this quadratic are:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
Related Questions
A. According to the graph, are John and Collin saving or spending money?
a.Saving
b.Spending
c.Idunno
B. How much money did each person start with?
a.John 60, Collin 80
b.John 80, Collin 60
c.John 4, Collin 6
d.Collin 6, John 4
C. How many days does it take John to spend all his money?
D. How many days does it take Collin to spend all his money?
E. Find the solution to the above system (answer is on ordered pair):
F. At what day does John and Collin have the same amount of money? Day
G. On the day they they have the same amount of money, how much do they each have? _____ dollars
Answers
B John 60 ,Collin 80
C 6
D 4
E John (6,60) Collin (4,80)
F Day 2
G $40
Find Missing side lengths
Answers
Answer:
On the side length of the triangle
Step-by-step explanation:
On the side length of the triangle
what expression is equivalent to 2m (32m + 1) + 3 (53 - 2)
Answers
Answer:
64m2+2m+255
Step-by-step explanation:
Find the values of x and y.
Answers
Answer:
x=30° y=5
Step-by-step explanation:
All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.
so
8y=40
y=40/8
y=5
Since it's an equilateral triangle. All angles are equal And each angle has dimensions
=180°/3=60°
The angle of the straight line = 180°
so The obtuse angle of the lower isosceles triangle is 180°-60°=120°
The angles at the base of the isosceles triangle are equal
so 2x° = 180°-120°
2x°=60°
x°=60°/2
x°=30°
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?
Answers
96/240 = 0.4 = 40%
Which pairs of figures are congruent? Which pairs are similar?
Answers
Answer:
put a picture with the question and I can help you
Answer:
Where’s the pic
Step-by-step explanation:
In the diagram below, line RCBT and △ABC are shown with m∠A = 60 and m∠ABT = 125. What is the m∠ACR?
1.125°
2.115°
3.65°
4.55°
Answers
Answer:
3.) 65
Step-by-step explanation:
180-125=55
55+60= 115
a triangle equals 180
180-115=65
The sum of all the angles in a triangle is 180 degrees.
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
What is the sum of angles in a triangle?The sum of all the angles in a triangle is 180 degrees.
We have,
Line RCBT and ΔABC.
From the diagram, we see that,
In ΔABC,
m∠A + m∠B + m∠C = 180 ___(1)
m∠CBT = 180
m∠CBA + m∠ABT = 180
m∠CBA + 125 = 180
m∠CBA = 180 - 125
m∠CBA = m∠B = 55 ____(2)
m∠BCR = 180
m∠BCA + m∠ACR = 180 ____(3)
From (1) and (2) we get,
m∠A + m∠B + m∠C = 180
60 + 155 + m∠C = 180
m∠C = 180 - 60 - 55
m∠C = 65 ____(4)
From (4) we get,
m∠ACR = 65
Thus,
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
Learn more about angles here:
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Which has a greater slope (Rate of change)?
the graph
the table
Answers
Answer:
The graph
Step-by-step explanation:
The graph has a slope of 2 while the table has a slope of 1.
2-1/6/5=1/1=1
2>1
Raul empuja su auto de 950 KG sobre una pista rugosa e inclinada 15,0 con una fuerza paralela a la pista, cuya magnitud es de 200 N. Determina el trabajo mecanico hecho por el peso sobre el auto para un desplazamiento de 5,00m (gravedad=10m/5)
Answers
Answer:
966 joules
Step-by-step explanation:
Step one:
given data
mass of car= 950kg
angle of incline= 15°
Applied force= 200N
displacement = 5m
If we apply a force on an object through a distance work is done, hence Mechanical work is the product of a force applied on an object and its displacement while that force is applied
Step two:
Work done= Force * distance
Since the car is moved on an inclined plane, the expression for the work done is
Work-done= Frcos∅
where r is the distance moved
Work-done= 200*5cos 15
Work-done= 200*4.83
Work-done= 966 joules
Can someone explain how I should solve this?
Answers
x3−2=10 help plz i need help
Answers
This is because
(4)3-2=10
12-2=10
10=10
This makes the statement true!
Hope this helps have a good day!
Your factory installed tires have a comfort that 95 inches if the odometer reading reading is 32,000 miles on your car you have tires with a conference have 103 inches how many miles have you actually traveled
Answers
Answer:
The correct solution is "35440.8".
Step-by-step explanation:
The given values are:
Bigger tire's circumference,
= 103 inches
Factor installed tire's circumference,
= 95 inches
Odometer reading,
= 32,000 miles
As we know,
⇒ [tex]Actual \ distance = K\times odometer \ reading[/tex]
Where,
⇒ [tex]K = \frac{Bigger \ tier \ circumference}{Factor \ installed \ tier \ circumference}[/tex]
i.e.,
⇒ [tex]K=\frac{103}{95}[/tex]
On applying the formula,
⇒ [tex]Actual \ distance \ travelled=\frac{103}{93}\times 32,000[/tex]
⇒ [tex]=35440.8[/tex]
The area of a circle is 9π
if and only if, its radius is 3.
true or false
Answers
HELP ASAP
a country's population in 1993 was 85 million.
In 1996 it was 90 million. Estimate
the population in 2015 using the exponential
growth formula. Round your answer to the
nearest million.
Answers
129 million I took the application already
what's the value of x 16x+9
Answers
Answer:
x2+16x=9 x 2 + 16 x = 9. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b . (b2)2=(8)2 ( b 2 ) 2 . x^2+16x+9=0
Step-by-step explanation:
if this is not
El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto pago por la televisión?
Answers
Answer:
$111,088
Step-by-step explanation:
Paso 1
Encuentra el descuento
Costo de la televisión de plasma = $ 138,860.00
Porcentaje de descuento = 20%
Descuento = 20% × $ 138,860
Descuento = $ 27,772
Paso 2
¿Cuánto pago por la televisión?
Esto se calcula como:
$ 138,860 - $ 27,772
= $ 111,088
Por lo tanto, la cantidad que paga por la televisión es de $ 111,088
What is the slope of the line x = 4?
Answers
Answer:
its undefined
Step-by-step explanation:
Really need your help
Answers
Answer:B and D yes, A and C no
Step-by-step explanation:
pls brainliest
Pls help ple help pls help
Answers
because if argentina has 15 more than south africa then you need to subtract 24-15=p which is pretty much the same things as p-24=15
and if you need to know how many provinces south africa has then 9 provinces should be your answer
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.
Answers
Complete question : Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.
Answer:
2.2 mph ; 4.4 mph
Step-by-step explanation:
Given that :
Total distance apart = 33
Time taken = 5 hours
Rate of slow hiker = x
Rate of fast hiker = x + 2.2
Speed (rate) = distance / time
Distance = speed * time
Distance covered by fast hiker + distance covers by slow hiker
(x + 2.2)*5 + 5x = 33
5x + 11 + 5x = 33
10x = 33 - 11
10x = 22
x = 22 / 10
x = 2.2
Rate of slow hiker = 2.2 mph
Rate of fat hike = x + 2.2 = 2.2 + 2.2 = 4.4 moj
One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B.24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses
Answers
Answer:C
Step-by-step explanation:
A triangle has angles that measure 40° and 80°. What is the measure of the third angle of the triangle?
Enter the correct answer in the box. (Be sure to attach the degree symbol to your answer.)
Answers
Answer:
60°
Step-by-step explanation:
The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,
40 + 80 = 120
180 - 120 = 60
The third angle of the triangle is 60°
What is a triangle?A polygon with three angles, side, and vertices is called a triangle.
Given that, a triangle has angles that measure 40° and 80°.
We know that the sum of the interior angles of a triangle is 180°
Let the third angle be x,
40° + 80° + x = 180°
x = 180°-120°
x = 60°
Hence, the third angle of the triangle is 60°
For more references on triangles, click;
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Which of the following will not translate as a mathematical
question three times a number equals fifteen.
two less than a number is equal to twelve.
Six Plus the number is seven.
A number divided by eight, Plus four.
PLEASE HELP ME FAST
Answers
Answer:
a number divided by eight, plus four
How do you know that ∠x ≅ ∠y?
Question 21 options:
Vertical angles are congruent.
Opposite angles are congruent.
Reflexive angles are congruent.
Inverse angles are congruent.
Answers
Answer:
opposite angles are congruent
Step-by-step explanation:
angle x and angle y are opposite angles
What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm
Answers
Answer:
285,600
Step-by-step explanation:
I calculated it I am pretty sure I am correct
Answer:
110
Step-by-step explanation:
I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.
Write the correct answer. Euros are currency used in several European countries. On one day in October 2005, you could exchange $3 for about 2.5 euros. How many dollars would you have needed to get 6 Euros?
Answers
Answer: 7.2 $ will be needed to get 6 Euros.
Step-by-step explanation:
Given : 3$ could be exchanged for 2.5 euros
That means :
To get 2.5 euros , dollars needed are = 3$
By using Unitary method:
To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $
To get 6 euros , dollars needed are = [tex]\frac{3}{2.5}\times 6=7.2[/tex] $
Thus 7.2 $ will be needed to get 6 Euros.
Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the probability that Derek selected a striped sock both times
Answers
Answer: 1/15
Step-by-step explanation:
The number of striped socks is 2 while the number of total socks are 6. If he chooses a striped socks at first, that will be 2/6.
If he chooses it the second time, the probability will be 1/5 since there'll be 5 socks left and 1 striped.
The probability that Derek selected a striped sock both times will be:
= 2/6 × 1/5.
= 2/30
= 1/15
Domingo is replacing the baseboards in his home and calculates that he will need 637.5 feet of wood. When he travels to the hardware store, he discovers that baseboards are sold in 7.5-foot lengths. How many boards will Domingo need to purchase?
Answers
Answer:
Number of boards= 85
Step-by-step explanation:
Giving the following information:
Total wood required= 637.5 feet of wood
The baseboards are sold in 7.5-foot lengths.
To calculate the number of boards, we need to use the following formula:
Number of boards= total wood required / foot per board
Number of boards= 637.5 / 7.5
Number of boards= 85
Find the roots for y = (2x-3)(x+5) (The x values)
Answers
Answer:
x = [tex]\frac{3}{2} , -5[/tex]
Step-by-step explanation:
We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.
The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.
1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:
[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]
Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.
2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:
[tex]x+5 = 0\\x = -5[/tex]
Therefore, -5 is a root as well.
The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.
A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.
Answers
Answer:
Step-by-step explanation: