solve this quadratic by factoring
5x^2+7x=x^2+2
pls show work and how to do it! thank you!!!!!
Answers
Step-by-step explanation:
pls click on the pic for full answers
Let's solve this step-by-step. Here it is.
5x²+7x=x²+2
Step 1: subtract 2 from both the left and right side.
5x²+7x-2=x²+2-2
Simplify.
5x²+7x-2=x²
Step 2: subtract x² from each side.
5x²-x²+7x-2=x²-x²
Simplify.
4x²+7x-2=0
Step 3: solve using the quadratic formula.
[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:4\left(-2\right)}}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-7+9}{2\cdot \:4},\:x_2=\frac{-7-9}{2\cdot \:4}[/tex]
[tex]x=\frac{1}{4},\:x=-2[/tex]
Hope this helps!
Step 2: Factor the left side of the equation.
Related Questions
Find the number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000
Answers
Answer:
12
Step-by-step explanation:
You have to have the 2 or 3 as the first digit.
After that, the other 3 digits can be done in 3! = 6 ways.
So, the total is 2*3! = 12
Solve the simultaneous equations
x
+
y
=
5
x
=
1
+
y
Answers
Answer:
Step-by-step explanation:
Givens:
Eq. 1 ) x + y = 5
Eq 2 ) x = 1 + y
plug x into Eq 1 from Eq 2
(1+y) + y = 5
algebra them out
2y = 4
y = 2
then
x + 2 = 5
x = 3
Stephanie spent $16 on product and supplies for a lemonade stand. She charged $2 for a cup of lemonade. The graph below can be used to represent Stephanie's profit, y, after selling x number of cups of lemonade.
Answers
Answer:
A. The y-intercept represents the amount of money Stephanie has. She started at -16 because she spent $16.
B. The x-intercept is the amount of cups of lemonade she sold. On the graph, it shows that after 8 cups, she made 16 dollars back. She didn't make any profit sense she started at -16.
C. The slope represents how much she made after so many cups of lemonade were sold. It was after 8 cups of lemonade were sold that she started making a profit.
Step-by-step explanation:
Find a point 1/5 of the way between points A (-6,-4) and B (-1,6).
Answers
9514 1404 393
Answer:
(-5, -2)
Step-by-step explanation:
That point P can be found from ...
P = A + 1/5(B -A)
P = (4/5)A +(1/5)B = (4A +B)/5
P = (4(-6, -4) +(-1, 6))/5 = (-24-1, -16+6)/5 = (-25, -10)/5
P = (-5, -2)
Answer:
the answer is (-5,-2)
Step-by-step explanation:
:))
PLEASE HELP ME IF YOU CAN, I REALLY NEED IT! THANK YOU!!
The diameter of a circle is 69 yards. The circle's circumference is about ___ yards.
Use 3.14 for
Answers
Step-by-step explanation:
diameter=69
radius=diameter/2=34.5
circumference=2πr
2×3.14×34.5216.66 yardsstay safe healthy and happy..jogging burns 21 calories in 10 minutes determine how many calories are burned per hour?
Answers
Answer:
126 burned calories per hour
There are 60 minutes in 1 hour, so ir you multyply 21 x 6 your answer will be 126.
Answer:
126
Step-by-step explanation:
there are 60 minutes in an hour so divide 60 by 10 to get 6 and multiply by 21 to get 126
Please help AND NO LINKS OR U WILL BE REPORTED!
Identify the reference angle ∅ for each given angle, Ф.
When Ф = 300°, ∅=______degrees
When Ф = 225°, ∅=______ degrees
When Ф = 480°, ∅=______degrees
when Ф = -210°, ∅= ______ degrees
Answers
Answer:
See below for answers
Step-by-step explanation:
300° is in Quadrant IV, so its reference angle is 360°-300°=60°
225° is in Quadrant III, so its reference angle is 225°-180°=45°
480°=120° is in Quadrant II, so its reference angle is 180°-120°=60°
-210°=150° is in Quadrant II, so its reference angle is 180°-150°=30°
What is the distance between two points(2,-6)(-7,1)
Answers
Answer:
11.4
Step-by-step explanation:
Find the distance in the x-direction between the x-components: 2 - (-7) = 9.
Similarly: between the y-components: 1 - (-6) = 7
Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:
81 + 49 = d^2, or d^2 = 130
The distance d is approximately √130 ≈ 11.4
Answer:
Square root of 130
Step-by-step explanation:
Use the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex](x_{1}, y_{1} )[/tex] is your first set of coordinates : (2, -6)
[tex](x_{2}, y_{2} )[/tex]is your second set of coordinates : (-7, 1)
Write an exponential function in the form y=b^x that goes through the points (0,9) and (3,4608)
Answers
Answer:
y = 9 * bˣ
Step-by-step explanation:
y = a * bˣ
9 = a * b⁰ = a * 1
a = 9
4608 = 9 * b³
b³ = 512
b = 8
y = 9 * bˣ
pleaseeee helppp mee!!!!
Answers
Answer:
C
Step-by-step explanation:
If each of the 4 siblings expect to pay the same (share equally), then y is the cost of the meal, 3 is the extra fee for each meal, so each expects to pay y + 3 for a meal. Figure C shows 4 such payments, all equal to each other.
A cell phone company charges a flat rate of $2.50 per month, with an additional charge of $0.15 per minute. How many minutes did Laura talk on her cell phone if her monthly bill was $72.25?
Answers
Answer:
465 minutes
Step-by-step explanation:
First things first, you have to make an equation! It would be...
2.50+0.15m=72.25
Keep in mind that m stands for minutes.
Now let's solve it!!
First let's subtract 2.50 from both sides.
0.15m=69.75
Now, let's divide 0.15 on both sides!
m= 465
465 minutes!!
Hope this helped!! :D
14 cm
9 cm
10 cm
What is the area of the parallelogram?
A
1260 sq cm
B
140 sq cm
С
90 sq cm
D
70 sq cm
Answers
Answer:
b140
Step-by-step explanation:
14*10=140 that's all
Answer:
the answer is B
Step-by-step explanation:
because 14*10 is 140
Write the equations of each line in slope-intercept form.
Answers
Answer: is this history
Step-by-step explanation:
Jesus deposited $10,000
into a savings account.
He gets 0.1% in interest
over 5 years. What is the
total amount in interest
that Jesus gets?
Answers
A 1x3 matrix times a 3x2 matrix, gives a product that is a
(I need both 7 and 8)
Answers
someone please helppp
Answers
Answer:
you can use SSA to prove congruence. side DE and AB are congruent, and C and F are both right angles
Answer:
yes, that information is sufficient
Step-by-step explanation:
when y is given, you can prove that the triangles are congruent by RHS axiom. R- right angle H-hypotenuse S- side
Answer fast Use the net to determine the total surface area
270 in
310 in
330 in
350 in
Answers
If anyone wants to do these, here you go! P.S. I already did these and the first person to get them all correct gets a brainiest.
Answers
Answer:
5. 1/9? 6. -22? 7. -2? 8. -15? 9. -5? 10. 5?
a recipe calls for 5/8 cup of sugar for every 5 teaspoons of vanilla. what is the unit rate in cups per teaspoon
Answers
Answer:
1/8 cups per teaspoon
Step-by-step explanation:
5/8 cup sugar per 5 teaspoons of vanilla
(5/8 ) divide in 5 will give us how much per 1 teaspoon
(5/8)/5 = (5/8) * (1/5) = 5*1/ 8*5 = 1/8
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answers
Answer:
the power of a should be 3.
Which of the following are quadrilaterals?
[A] triangles
[B] pentagons
[C] parallelograms
[D] none of these
Answers
Answer:
C
Step-by-step explanation:
beccause it has four sides
(quad) ,
Which is a number that can be written as a fraction in the form /?
Answers
Answer:
the third one/second one
Step-by-step explanation:
Custodian at Movie Theater
pay:$9.95
per hours: 15.25 hours per week
how much do they make in a-
week_
month_
year_
Answers
Answer:
1) A week: $151.74
2) A month : $606.96
3) A years : $7890.48
Step-by-step explanation:
Custodian at Movie Theater
pay:$9.95
per hours:
15.25 hours per week
How much do they make in
1) a- week
1 week = 15.25 hours
Hence,
1 hour = $9.95
15.25 hours = x
Cross Multiply
x = 15.25 × $9.95
x = $151.7375
Approximately = $151.74
2) A month
There are 4 weeks in a month
1 week = $151.74
4 weeks = x
Cross Multiply
x = 4 × $151.74
x = $606.96
3) A year
There are 52 weeks in a year
Hence,
1 week = $151.74
52 weeks = x
Cross Multiply
x = 52 × $151.74
x = $7890.48
Therefore, they made in :
1) A week: $151.74
2) A month : $606.96
3) A years : $7890.48
What is the volume of a cylinder with a base radius of 7in. and a height of 12in?
Answers
Answer:
1847.26 cubic inches
Step-by-step explanation:
The volume of a cylinder is given by the formula:
V = Ah
Where V is the volume of the cylinder, A is the area of the base, and h is the height of the cylinder. The area of the base can be shown as the formula for the area of a circle:
A = πr²
Where r is the radius of the circle.
Now, find the area of the base of the cylinder:
A = π(7)²
A = 153.93804
Next, plug this value into the equation for volume, substituting h for the height of the cylinder; 12 inches.
V = 153.93804(12)
V = 1847.26
Volume is given in cubic units, and the units for this cylinder are inches, so this cylinder has the following volume:
1847.26 cubic inches
Identify the polygon that has vertices J(12,−4), U(0,−4), S(4,3), and T(8,3), and then find the perimeter and area of the polygon.
Answers
Answer:P= 16 + 2\|65 units; A= 56 units2
Step-by-step explanation:
I NEED HELP WITH NUMBER 3 HURRY
Answers
Answer:
There are 4 pitchers
Step-by-step explanation:
3p - 1 = number of infielders
3p - 1 = 11
+1 +1
3p = 12
[tex]\frac{3p}{3}[/tex] = [tex]\frac{12}{3}[/tex]
p = 4
hope this helps! if you have any questions, let me know!
What is the area of the figure?
Answers
Answer:
252 square inches.
Step-by-step explanation:
Split the Cube into three shapes.
You can make the biggest cube 12 by 15 and mutliply those together.
That would be 180.
Now you are left with 2 other smaller cubes.
3 * 6 = 18
6 times 9 = 54
The Final Answer is 252 square inches.
match each trig function to a ratio. tan(B)=
Answers
Answer:
Tan B = x/y
Step-by-step explanation:
You need to memorize the definitions of all the trig functions and then these types of problems become easy! OK?
Tan = opposite side/adjacent side
Tan B = x/y
Gerardo makes $18 per hour at Starbucks. Tomorrow he is going to receive a raise totalling 20% of his hourly wage. What will he be making per hour straying tomorrow.
Answers
to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.
True or False The slope of a line can be found by finding the quotient of the change in y and the change in x.
Answers
Answer:
false
Step-by-step explanation: