Order the steps for solving this equation using the quadratic formula
X^2 + 3x - 4 = 0
Answers
Answer:
Step-by-step explanation:
The steps required to solve the given equation is required.
First step: Identify a = 1, b = 3 and c = -4
Second step: [tex]x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}[/tex]
Last step: x = 1 and x = -4
Quadratic equationThe given equation is
[tex]x^2+3x-4=0[/tex]
Comparing with the general quadratic equation [tex]ax^2+bx+c=0[/tex] we have
a = 1
b = 3
c = -4
Applying the formula
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}\\\Rightarrow x=1\ \text{and}\ -4[/tex]
Learn more about solving quadratic equations:
https://brainly.com/question/1214333
Related Questions
look at pic will mark brainilest
Answers
Answer:The first one 18in.2
Step-by-step explanation:
When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.
Required:
Find an equation for Sn.
Answers
Solution :
If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.
Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,
[tex]a_1 = D[/tex]
[tex]a_2=D_c[/tex]
[tex]a_3 = Dc^2[/tex]
[tex]a_4 = (Dc^2)c= Dc^3[/tex]
....
[tex]a_n=Dc^{n-1}[/tex]
∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]
[tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]
[tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]
[tex]S-n=D . \frac{1-c^n}{1-c}[/tex]
Pls help I need a good grade
Answers
A
Step-by-step explanation:
m+n
2..................
I need to add words but plz help me im stuck
Answers
Answer:
A
Step-by-step explanation:
I think it is A because that measures the height of the triangle
Answer:
Option A shows the height of the triangle
Hope this helps!
In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?
Answers
Answer:
Cosecant U = 53 / 28
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the ratio of sine U. This can be obtained as follow:
Angle U = θ
Opposite = 28
Hypothenus = 53
Sine U =?
Sin θ = Opposite / Hypothenus
Sine θ = 28 / 53
Thus,
Sine U = 28 / 53
Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:
Sine U = 28 / 53
Cosecant U =?
Cosecant U = 1 / Sine U
Cosecant U = 1 ÷ 28 / 53
Cosecant U = 1 × 53 / 28
Cosecant U = 53 / 28
Yolanda is planning out her square vegetable garden. One side 4 feet. How
can I represent the area with exponents? *
HELPP MEEE ASAP PLSS
Answers
i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answers
Answer:
20% of them we flavored vanilla that day
Step-by-step explanation:
In the equation 2r - 7 = 15, what value of r makes this equation true?
Answers
Answer:
r = 11 makes 2r - 7 = 15 true.
Step-by-step explanation:
2r - 7 = 15
Add 7 to both sides.
2r = 22
Divide by 2.
r = 11
Proof:
2r - 7 = 15
2(11) - 7 = 15
22 - 7 = 15
15 = 15
Find the greatest power of 3 that is divisible of 100!
Answers
Answer:
There is no greatest power of 3 that is divisible of 100.
Step-by-step explanation:
Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.
can someone help me answer this please?
Answers
Answer:
300km
[tex]80km \times 3.75hrs = 300km[/tex]
300km
80km \times 3.75hrs = 300km80km×3.75hrs=300km
I NEED HELP NOW PLEASE
Answers
Answer: B : Stretches vertically by factor 3
Step-by-step explanation: Can you mark this brainliest if this is right?
What is the location of X' when X is translated 3 units left and 9 units down?
Answers
Answer:
-3,-9
Hope this helps
Answer:
(-3,-9)
Step-by-step explanation:
X goes first then Y, since they are both negative they go backwards on the graph
What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!
Answers
Answer:
N = 3M
Step-by-step explanation:
Answer this simple quick question!! Pls :)
Answers
Answer:
D
pls mark me as Brainiest :}
Step-by-step explanation:
graph a line with slope 1/3 and y-intercept -2
Answers
A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years
Answers
Answer:
$5,956.2
Step-by-step explanation:
First we need to find the amount after 5years using the formula
A =P(1+r)^n
A = 9000(1+0.06)^5
A = 9000(1.06)^5
A = 9000(1.3382)
A = 12,043.8
Interest after 5 years = 12,043.8 - 9000
Interest after 5 years = 3,043.8
Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
6. x2 – 20x + c
a. c = 64; (x – 8)2 b. c = 20; (x – 10)2 c. c = 100; (x + 10)2 d. c = 100; (x – 10)2
Answers
Answer:
d. c = 100; (x – 10)²
Step-by-step explanation:
Note that (x+a)²=x²+2ax+a².
In our case, 2a=-20, so 'a' must be -10.
Since c=a², and a=-10, c=(-10²)=100.
Since a=-10, the perfect square is (x – 10)²
A turtle can walk 2/24 of a kilometer in an hour. The turtie is 2/10 of a kilometer away
from a pond. At this speed, how long will it take the turtle to reach the pond?
2 2/5hours
1 3/5hours
2 hours
3 1/5hours
Answers
can someone help me with math I don’t really understand it
Answers
1.) Crown pls ;)
A.) The domain is (-∞,∞) or (-infinity, infinity)
B.) The range is (0,∞) or (0, infinity)
C.) The y-intercept is (0,6)
D.) x-axis
E.) Base
2.)
I will give brainlist to who can answer these 4 questions correctly.
Answers
For 11 :
Height of the triangle is 7.2 in Area is 30.2 in .Now , We'll find the Base :
Area of Triangle = 1/2 × b × h :
30.2 = 1/2 × b × 7.2
30.2 = 3.6 × b
30.2 / 3.6 = b
8.3 in = b
Now , we can say that the base is 8.3 in .
For 12 :
Area of Triangle = 1/2 × b × h :
25.5 = 1/2 × 11.1 × h
25.5 = 5.5 × h
25.5 / 5.5 = h
4.6 cm = h
Now , we can say that the height is 4.6 cm .
A hose can fill a swimming pool in 12 hours. Another hose needs 2 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the
pool?
hr
Answers
Answer:
6
Step-by-step explanation:
6 because 12 divided by 2 is 6 and it takes 2 hours to fill yw
Which angle measure is greater?
Answers
Answer: B
Step-by-step explanation:
Find the slope and the y- intercept of the line y=6x-3
Answers
Answer:
Slope: 6
Y-intercept: -3
Step-by-step explanation:
The value of x is the slope, the value of the y-intercept is the number with no variable. Therefore, the slope is 6 and the y-intercept is -3.
If this has helped please mark as brainliest
Answer:
m=6
Step-by-step explanation:
Timmy wants to buy a scooter and the price was $50. When he goes to the store the second time, he found that the price was marked down by 16%. What was the new price?
Answers
Answer:
kk
Step-by-step explanation:
Answer:
Step-by-step explanation:
20% of 50 is the same as writing 50 x 0.20, so we just do the math on that. Since it was marked down that much, we subtract the found 20% from the 50. The new price of the scooter is $40.
HELP ME ‼️
$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)
Answers
Answer:
median of (298, 196, 248) - 196
median of (379, 319) - 349
median of (276,198, 349) - 198
Step-by-step explanation:
SENORMATHWIZ AM I CORRECT HURRY I HAVE 5 MIN!!!!
Answers
Answer:
its actually c
Step-by-step explanation:
6*10=60+40=100
100[tex]\geq[/tex]100
Answer:
C
Step-by-step explanation:
In order to graph we must first simplify the inequality
40 + 10x ≥ 100
step 1 subtract 40 from each side
40 - 40 cancels out
100 - 40 = 60
we now have 10x ≥ 60
step 2 divide each side by 10
10x/10 = x
60 / 10 = 6
we're left with x ≥ 6
Now to graph
We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right
Thus, the answer is C
Complete the following equation using <,>, or = 7___24/4
Answers
Answer:
<
Step-by-step explanation:
Have a Great Day!!!
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
Answers
A 11/13
Step-by-step explanation:
1
f (x) = (3x^4 + 1)^2 ?
Answers
Answer:
72x^7+24x^3 (finding the derivative using the chain and power rules)
Step-by-step explanation:
Answer:
the answer is 8
Step-by-step explanation:
translate twice x is at most -29 into an inequality
Answers
if it is x to the second power your answer would be
x^2 ≤ -29
The answer is 2x ≤ - 29
Step-by-step-explain
Twice x is at most -29 into an inequality
2x ≤ - 29
Thus, The answer is 2x ≤ - 29
-TheUnknownScientist