Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
x=-4, x=2
Step-by-step explanation:
Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.
There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.
When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.
Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.
How many solutions does 3(x + 5) - 3 = 2(3x + 1) - 3x have? Show your work.
2noop
no
ordon
dos
SOLUTION I don’t want the answer I just wanna know how to solve it cause I’m bad at math
Answer:
No solution
Step-by-step explanation:
1.Simplify
3(x+5)-3 = 2(3x+1) -3x
3x+15-3=6x+2-3x
2.Simplify
3x+12=3x+2
3. Combine like terms
3x-3x+12-2=3x-3x+-2
10 does not equal 0
No solution
Answer:
[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]
Expand: Apply distributive property:
[tex]\sf 3(x+5)-3[/tex]
[tex]\sf 3x+15-3[/tex] [tex]\sf 3x+12[/tex][tex]\sf 2(3x+1)[/tex]
[tex]\sf 3x+2[/tex][tex]\sf 3x+12=3x+2[/tex]
Subtract 12 from both sides:
[tex]\sf 3x+12-12=3x+2-12[/tex]
[tex]\sf 3x=3x-10[/tex]
Subtract 3x from both sides:
[tex]\sf 3x-3x=3x-10-3x[/tex]
[tex]\sf 0=-10[/tex]
Sides are not equal, so therefore there is no Solution.
___________________________________________
What is -2(3x+12y-5-17x-16y+4) simplified?
A) -40x+8y+2
B) 28x+8y+2
C) 28x+6y+2
D) -28x-8y+2
Answer: B
Step-by-step explanation:
Multiply everything in the bracket by -2 and combine like terms
Answer:
It's B
Step-by-step explanation:
Which statements are true? Check all that apply.
3
1
-2.5=-2
2.
2.
-1.5 > -0.5
0.5 <0
-2.5 <-2
1
0
UD
1>15
-1
-2
-3
Answer:
3is the answer because t
s apply
Step-by-step explanation:
What is the area (what is the height)
Answer:
5 i think
Step-by-step explanation:
The trapezoid's height (h) is 4 mm(millimeters).
Formula to calculate a trapezoid's height;
2 x Area ÷ by A(short base) + B(large base)
If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day
Answer:
112
Step-by-step explanation:
8 days when fitted into a half (1/2) gives you 16
7 times 16 gives the answer of 112 (people needed)
Answer:
112 people to do it in 1/2 of a day
Step-by-step explanation:
7 · 8 = 56
56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day
Jasmine got a new puppy for her birthday. He's full of energy, so she takes him for a walk along a 1.2-mile loop in a nearby park. If they walked a total of 3.6 miles, how many loops did they do?
Answer:
3 loops
Step-by-step explanation:
1.2x = 3.6 [Setting up an equation]
x = 3 [dividing both sides by 1.2]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Solve the quadratic by factoring.
4x^2 – 2x – 3 = 2x
PLS HELP ASAP!!!
Answer: X = -(1/2) AND X = (3/2)
Step-by-step explanation:
4x^2 – 2x – 3 = 2x
4x^2 – 4x – 3 = 0
(2x+1)(2x-3) = 0
1. (2x+1) = 0
2x = -1
X = -(1/2)
2. (2x-3) = 0
2X = 3
X = (3/2)
-4 + (-3) – 8 + (-2) =
the weight in pounds of a newborn baby t months after birth can be modeled by the equation W=t+7. what is the y-intercept of the equation and what is its interpretation in the context of the problem
Answer:
y intercept = (0,7) , it is the weight of a newborn at birth/ before any months have passed
Step-by-step explanation:
in this equation:
weight= t(months) + 7
this is an equation written as y=mx +b
in a line equation like this b is the y intercept , or the y value when x=0
in this problem when x=0 it means that 0 months have passed , i.e. the baby is a newborn
Look at the screen shot and answer the question. Please Explain !!
Answer:
see explanation
Step-by-step explanation:
- 4x + 3 < 23 ( subtract 3 from both sides )
- 4x < 20
x < - 5 ← Her error is on this step
When dividing by a negative quantity the symbol is reversed, that is
Divide both sides by - 4 and reversing the symbol gives
x > - 5
are the lines in the figure parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
perpindicular
Step-by-step explanation:
Perpindicular has multiple sides and has a 90 degree plane
let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?
The units of [tex]r'(t)[/tex] are gallons per square hour.
Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.
As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.
Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.
To learn more on dimensional analysis, we kindly invite to check this verified question: https://brainly.com/question/10874167
Slope between (6,-11) and (2,-1)
Which compound inequality is represented by the graph?
O x < -4 or x2 3
Ox<-4 and x 2 3
O xs-4 or x <3
O xs-4 and x < 3
Using the area model divide, true or false, 79/7 is equal to 11 R 1.
Area models are used to evaluate products and divisions
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
The division equation is given as:
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]
Express 79 as 77 + 2
[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]
Split the expression on the left-hand side
[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]
Divide 77 by 7
[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]
2 divided by 7 is 0 with a remainder of 2
So, we have:
[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]
The equations above are not equal.
This is represented as:
[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]
Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
Read more about area models at:
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i need the solution to this problem pls!
Answer:
FE = 43.2
Step-by-step explanation:
FE/36 = 24/20
multply both sides by 36
FE = 24/20 * 36
FE = 43.2
Write the equation of the line from the graph.
Answer: y = 4x + 2
Step-by-step explanation:
A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.
In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).
slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
= (2 - (-2)) / (0 - (-1))
= (2 + 2) / (0 + 1)
= 4 / 1
= 4
y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.
Plug both slope and y-intercept in, we get the equation:
y = 4x + 2
Answer: y = 4x + 2
Step-by-step explanation:
please help me with this. I will give brainliest to whoever gets the question right. attachment below.
Answer:
22100
Step-by-step explanation:
First you would add the truckloads of concrete for both playgrounds (3 5/8 + 3 5/8 + 1 9/10). Then you would divide that by 1/2. Finally multiply that number by 2000. (Pls mark me the brainliest)
I do this do y'all can get extra point and complete challenges!
What is 4 + 4
8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.
Find the term of the arithmetic sequence in which a 27=-1/2 and the common difference is 2.
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.
a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52
a1 = -52 1/2 = -105/2
an = -105/2 + (n-1)×2
A radar station is 2000 ft from the launch site of a rocket. If the rocket is launched vertically at the
rate of 500 ft/sec, how fast is the distance between the radar station and the rocket changing 10 seconds
later?
Answer: f 500 Ft./sec
Step-by-step explanation:
By evaluating the derivate of the distance in t = 10s, we will see that at t = 10s the distance is changing at a rate of 464.2 ft/s
We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.
The hypotenuse would be the distance between the radar and the rocket.
Then the distance function is:
[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]
Now we need to get the rate of change, this is given by:
[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]
Now we evaluate this in t = 10s to get:
[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]
If you want to learn more, you can read:
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Find the value of a.
х
409
0.
a
y
O A. 60
OB. 80
OC. 40
Answer:
50°
Hope you could understand.
If you have any query, feel free to ask.
Is -3/4 greater than -0.25
Answer: No
Step-by-step explanation:
you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.
Answer:
-0.25 is greater than -0.75
Step-by-step explanation:
usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.
please help! thanks!
Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2. 5), (3, 6. 25). What value, written as a decimal, should Lena use as the common ratio? 1. 0 1. 5 2. 5 2. 0.
Answer:
r = 2.5
Step-by-step explanation:
Consider the y- coordinates of the plotted points
1 , 2.5 , 6.25
The common ratio r is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5
terrell is going to the salem fair. it costs $5 to get into the fair and $.75 per ride. if he only has $20, how many rides can terrell ride?
Please help me quickly
Step-by-step explanation:
a full circle (turning around a point a full turn) is 360°.
so, all these angles together must be 360°.
90 + 33 + 165 + 20 + x = 360
308 + x = 360
x = 52°
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
6x=42
A: 7
B: 6
C: -7
D: 2
Help
a series of 1125 consecutive integers has a sum which is a perfect cube find the smallest possible positive sum for this series?
please show your work :)
If zero is considered to be positive, the answer is zero (0).
otherwise
562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).
Moving the start, the smallest integer up 1 adds 1125 to the sum.
1125 = 9 * 125
1125 = 9 * 5³
= 9³ * 5³ is the smallest sum
= 45³
= 91125
Therefore the smallest possible sum is 91125
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