Answers
By completing the squares we will see that the solutions are:
a) For 2x^2 + 8x - 1 = 0:
x = -2 ±√4.5
b) For x^2+4x-7 = 0
x = ±√11 - 2
How to complete squares?Remember that the perfect square trinomial is:
(a + b)^2 = a^2 + 2ab + b^2
The first quadratic equation is:
2x^2 + 8x - 1 = 0
Dividing by 2 we get:
x^2 + 4x - 1/2 = 0
We can rewrite this as:
x^2 + 2*2*x - 1/2 = 0
Adding and subtracting 2^2 = 4, we get:
x^2 + 2*2*x + 4 - 4 - 1/2 = 0
(x + 2)^2 - 4 - 1/2 = 0
(x + 2)^2 = 4.5
Now we can solve this:
x + 2 = ±√4.5
x = -2 ±√4.5
These are the two solutions.
The other quadratic equation is:
x^2+4x-7 = 0
We can rewrite this as:
x^2 + 2*2*x - 7 = 0
Again, add and subtract 4 to get:
x^2 + 2*2*x + 4 - 4 - 7 = 0
(x + 2)^2 = 11
Solving this we get:
x = ±√11 - 2
Learn more about quadratic equations:
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Related Questions
A number cube is rolled what is the likelihood that a number less than or equal to three is rolled
Unlikely
Equally likely
Likely
Certain
Answers
Answer:
equally likely
Step-by-step explanation:
there are 3 numbers less than or equal to 3. divide that by every number on the cube. Then you get 0.5.
move the decimal twice and turn it into a percent 50%
50% is equally likely.
The fractuon 3/5 is found between which pair of fractions on a number line?
Answers
Answer: It's kinda simple, 2/5 and 4/5
Just add 1 to the numerator of the original fraction, and there's where you get 4/5. Then subtract 1 from the original fraction, and that's where you get 2/5!
Find the surface area of the cone. Round your answer to the nearest tenth.
BRAIN>LY GIVING
Answers
Answer:
75.4
Step-by-step explanation:
Answer:
S.A = 65.94
Step-by-step explanation:
S.A = [tex]\pi r^{2} + \pi rl[/tex]
3.14 x 3 x 3 = 28.26
3.14 x 3 x 4 = 37.68
37.68 + 28.26 = 65.94
Let me know if this helps!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Find the areas of the figures.
36 square units
54 square units
72 square units
190 square units
arrowRight
arrowRight
arrowRight
Answers
Answer:
The Answer to the first would be 36 i'm on the test myself and it makes sense for the 1st to be 54
the 2'd would be 72
the 3'rd would be 36
Step-by-step explanation:
Shi ion even know loo
Answers
Answer:
1.6667
Step-by-step explanation:
that was too easy
Jamie is twice as old as Natalie now. Give years ago the sum of their ages was 26. How old is each person now?
Answers
answer:
8. 67 and 17. 36
step-by-step explanation:
hi there!
to find out the age of both girls, i believe that we should divide the number 26 by 3 because jamie is twice as old as natalie meaning ( natalie ) is younger
26/3
= 8. 67
meaning 8.67 is how old natalie is/was
add 8.68 to itself once and you will get jamie's age!
8. 67 + 8. 67
= 17. 34
meaning 17. 34 is how old jamie is/was
sorry if i misread the question or made it a little confusing! but i do hope that this ends up helping you! :)
Charlie is saving for a new computer desk. The table costs $70. So far, she has already saved $35/ Write an equation to show how much more does she need to save to buy the desk. *Let x represent the amount of money that needs to be saved
Answers
Answer:
x + 35 = 70
-35 -35
–––––––––––
x = 35
Step-by-step explanation:
35 + 35 = 70
:))
Multiple Response. Select all the equations that have exactly one solution.
A. 3x + 1 = -3x + 7
B. 3x + 1 = x + 1
C. 3x + 1 = 3x + 7
D. 3x + 1 = 1/2 (1x + 1)
E. 3x + 3 = 3(x+1)
Answers
Answer:
A, B, D
Step-by-step explanation:
Samantha ordered lunch at a restaurant in the bill cost $64.21. she wants to leave a 15% tip. how much moeny would she leave for the tip amount
Answers
Answer:
9.6315
Step-by-step explanation:
Do anyone know this problem?
Answers
Answer:
me kown it
Step-by-step explanation:
please help 15pts and will give brainlist!!
Answers
Answer:
1st ans
(x+15)=135(alternate angle)
x=135-15
x=120
2nd ans
(8x-4)=92(corresponding angle)
8x=92+4
x=96/8
x=12
3rd ans
(x+1)=51(vertically opposite angle)
x=51-1
x=50
A construction crew is made up of 18 men; the rest are women. If 75% of
the crew are men, how many people are in the crew altogether?
24
22
28
20
Answers
Answer:
24
Step-by-step explanation:
I just took this test and got an A
Have a great day!
Answer:
22
Step-by-step explanation:
22 because I did it already
A Baker uses the expression 5.75c + 3.45p to calculate his profit when he sells c cakes and p pies.
What is the bakers profit, in dollars, when he sells 33 cakes and 42 pies?
Answers
Answer:
334.65
Step-by-step explanation:
Multiply 5.75×33 and 3.45×42
then add them together to get 334.65
Someone who can help me?
Answers
Answer:
4 days
Step-by-step explanation:
$0.09 × 100 = 9
$62.47 × 4 = 249.88
249.88 + 9 = 258.88
explain how finding the square root of a number is different from finding the cube root
Answers
BRAINLIST‼️‼️WILL GIVE BRAILIDT
Answers
Answer:
d
Step-by-step explanation:
help me please??????
Answers
Answer:
I'm pretty sure it's D
if not then maybe B
Help please :)) Ignore the writing i was attempting to figure it out
Answers
Answer:
The answer is C. I hope this helps and is the paper red? That's cool. Anyways have a nice day!!
Step-by-step explanation:
Answer:
I think its is D but i'm not 100% sure
I need help with this assignment please
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How do I find tips and discounts?
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Answer:
False
Step-by-step explanation:
because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.
:))
What is the slope of the line RS that contains the points R(-2, -3), S(3, -5)
HELP ASAP
Answers
Answer:
[tex]slope = \dfrac{-2}{5}[/tex]
Step-by-step explanation:
The slope of a line passing through points , [tex] (x_1,y_1) [/tex] and [tex] (x_2,y_2) [/tex] is ,
[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using this we have ,[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\implies slope = \dfrac{-5+3}{3+2}\\\\\implies \boxed{\boxed{slope = \dfrac{-2}{5}}}[/tex]
A line has a slope of 0 and passes through the point (-4, 3). What is its equation in slope-intercept form.
Answers
Answer:
y = 3
Step-by-step explanation:
We already know the slope, all we need to do is find the y-intercept.
You have to plug the coordinates into the equation, y = 0x + b
y = 0x + b
3 = 0(-4) +b
3 = 0 + b
3 = b
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Someone help and plz make sure it’s right
Answers
Answer:
Step-by-step explanation:
cosx=adjacent /h
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Answers
Answer:
15
Step-by-step explanation:
hope it helps you.that was what I could think about.if am wrong please tell me.good day.
Maria has 4 times as many necklaces as sheila toghter they have 25 necklaces how many necklaces does maria have
Answers
Write the first six terms of f(n) = 4n-1
Answers
10
14
18 are the first six terms
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Mary bought an antique vase to display her flowers like the one pictured below.
The vase has a radius of 1.5 inches and a height of 7 inches. If she wanted to wrap the vase for safe storage, which value best represents the total surface area?
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14.14 inches square
80.11 inches square
10.5 inches square
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PLEAS HELP ME WITH THIS EQUATION
For the equation y= 8 • 2x complete the table and plot the ordered pairs on the
graph.
Answers
Answer:
y=16x
Step-by-step explanation:
y=(8)(2)x
--HEART IF THIS HELPED OR BRAIN ME!!--
The ordered pairs (-3, 1), (-2, 2), (-1, 4), (0, 8), (1, 16), (2, 32) and (3, 64) on the graph are plotted below.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
The given equation is y=8×2ˣ.
Here, in table
x -3 -2 -1 0 1 2 3
y 1 2 4 8 16 32 64
So, the ordered pairs are (-3, 1), (-2, 2), (-1, 4), (0, 8), (1, 16), (2, 32) and (3, 64)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y=0.
Horizontal Asymptote: y=0
Therefore, the ordered pairs on the graph are plotted below.
Learn more about the exponential function here:
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please help this is confusing me:(
Answers
-8 miles per min
He travels 3.25min
-8 x 3.5= -26
He traveled 26 miles in 3.25
I hope this helped