Answers
Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x = -5.32, x = 1.32
Step-by-step explanation:
Ok. So to use the Complete the Square method, you divide the middle value by 2 and then square the number you get. This will give:
[tex](x^{2} + 4x + (\frac{4}{2}) ^2) - (\frac{4}{2}) ^2 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 4 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 11 = 0[/tex]
[tex](x^{2} + 4x + 4) = 11[/tex] (now factor the left side)
[tex](x + 2)(x + 2) = 11[/tex]
[tex](x + 2)^{2} = 11[/tex] (now square root both sides)
[tex]\sqrt{(x + 2)^{2}} = \sqrt{11}[/tex]
[tex]x + 2 = \sqrt{11}[/tex]
[tex]x = - 2 +/- \sqrt{11}[/tex] (+/- = plus or minus)
x = -5.32, x = 1.32
Related Questions
Find c.
Round to the nearest tenth:
2 cm
15°
105
Answers
Answer:
0.5cm
Step-by-step explanation:
Using the sine rule
Answer:
c = 0.5 cm
Step-by-step explanation:
Using the Sine rule in the triangle, then
[tex]\frac{c}{sin15}[/tex] = [tex]\frac{2}{sin105}[/tex] ( cross- multiply )
c × sin105° = 2 × sin15° ( divide both sides by sin105°
c = [tex]\frac{2sin15}{sin105}[/tex] ≈ 0.5 cm ( to the nearest tenth )
Graph y+9=−3x. please help me
Answers
Well, first thing we need to do is put this in slope intercept form of y.
Subtract 9 from both sides to isolate "y".
y= -3x-9
Now we can graph the equation
Graph the point (0,-9) since it is the y-intercept.
To get the x intercept, isolate the "x" variable instead of "y".
y+9 = -3x
(Divide every number on both sides of the equation by -3 to isolate "x".)
y/-3 -3= x
now that this is in slope intercept form of x, plug in 0 for y to get the number for x when y is 0.
0/-3 -3 = x
-3 = x.
Graph (-3, 0). Connect this point to the point (0,-9) and you get have successfully graphed the equation y+9= -3x.
I hope this helped.
On the grid, draw the graph of
y = 2x - 3
for values of x from -2 to 4
Q
Answers
Answer:
Plot these points:(-2,-7) (-1,-5) (0,-3) (1,-1) (2,1) (3,3) (4,5)
Step-by-step explanation:
You need to substitute your x values into the x of the equation y=2(3)-3 to find the y value...
The standard equation of a line is expressed as y = mx + b
m is the slope
b is the y-intercept
Given the equation y = 2x - 2
If x = -2
y = 2(-2) - 2
y = -4-2
y = -6
If x = 4
y = 2(4) - 2
y = 8-2
y = 6
This shows that the point (-2, -6) and (4, 6 )must be on the line graph. FInd the graph attached below.
Learn more here: https://brainly.com/question/17003809
food delilah has 4 1/2 pies to divide equally among 9 people. how much would each person get
Answers
Answer:
4.5/9 = 0.5
half a pie each
The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If the football team needs to raise at least $3,000 for equipment, write an inequality to represent the situation and find the least number of "Jaguar Cards" the team must sell.
Answers
Answer:
The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.
If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.
Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].
Now, on solving we get,
[tex]20x\geq 3000[/tex]
[tex]\implies x\geq \frac{300}{20}[/tex]
[tex]\implies x\geq 15[/tex]
Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.
Writing an inequality function:Since
Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment
20x≥30,000
x≥15
Based on this, the above represent the inequality function.
Find out more information about the equation here:
https://brainly.com/question/2263981?referrer=searchResults
Which expression is equivalent to the expression below?
4s + 2t +s+s+s
Answers
Answer:
7s + 2t
Step-by-step explanation:
4s + 2t + s + s + s
7s + 2t
Jack used 40 balloons to decorate a room for a party. Of the balloons he used, 15% were red balloons.
How many red balloons did Jack use?
Answers
A circle has a diameter of 48 feet. Which of the following expressions shows how to find the radius of the circle?
Answers
Answer:
r = d/2
Step-by-step explanation:
The radius is always the diameter divided by 2. Hope this helps :)
Answer:
48/2 or d/2
Step-by-step explanation:
radius is half the diameter because its starts from the center. so if the diameters 48 feet, you have to divide it by 2 and get 24 feet.
Is AABC= ADEF? If so, name the postulate that applies.
Answers
Answer:
B. congruent - SAS
Step-by-step explanation:
IT IS CONGRUENT BY SAS AXIOM.
HOPE IT HELPS :)
-0.5x+x plz answer quick
Answers
A coin has heads on one side and tails on the other. The coin is tossed 50 times and lands
heads up 19 times. How does this frequency compare to the expected frequency based on
the probability of the coin landing with heads up?
Answers
Answer: A “The Frequency is 31 lower than expected.”
Step-by-step explanation:
The frequency is 12 fewer than expected.
What is relative frequency?Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.
The experimental relative frequency at which the coin lands heads up is [tex]\frac{19}{50}[/tex] or 0.38.
If the coin were a fair one, we would expect that it had heads up 25 out of 50 times, which would be a relative frequency of 0.50.
Since this is not happening, we conclude that the coin is NOT a fair one.
Expected frequency = 0.50
Experimental relative frequency = 0.38
= 0.50 - 0.38
= 0.12 or 12 %
Hence, the frequency is 12 fewer than expected.
Find out more information about relative frequency in probability here
https://brainly.com/question/16722133
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Teri is studying the growth of the population of frogs in a lake. The table below shows the number of frogs with respect to the number of months since Teri began her study. Months 1 2 3 4 5 Number of Frogs 50 150 450 1,350 4,050 The independent variable in the relationship is the and should be placed on the . The dependent variable in the relationship is the and should be placed on the .
Answers
Answer:
1. independent: months , x axis
2. dependent: frogs , y axis
Step-by-step explanation:
plato
A box in the shape of a cube has a side length of 1 1/2 feet. What is the volume of the box?
Answers
Answer:
Step-by-step explanation:
V cube=s^3, where is the side of the cube
1 1/2ft=3/2 ft
V=(3/2)^3=27/8 ft^3=3 3/8 ft^3
V=3.375 ft^3
Helpppppppppppppp pleaseeeeeeeee
Answers
First, lets put this into slope intercept form
3x + 2y = -6
2y = -3x - 6
y = -3/2x - 3
The y intercept is (0, -3)
To find the x intercept we set the new equation to zero and solve
0 = -3/2x - 3
+3 +3
(2)3 = -3/2x(2)
6 = -3x
6/-3 = -3x/-3
-2 = x
The x intercept is (-2,0)
Therefore, your intercepts are:
y-int. = (0,-3)
x-int. = (-2,0)
Hope this helps! =D
The table shows the colors of marbles in a bag.
hat is the ratio of green marbles to the sum of red and yellow marbles in the bag?
Answers
Answer:
12:18
Step-by-step explanation:
Answer:
2:3
Step-by-step explanation:
green marbles: 12
red+yellow: 18
12:18
(divide by 6 on both sides)
2:3
Seth is saving to buy a new car. He deposits $8,000 into a savings account that is compounded monthly at a rate of 6%. How much will Seth have in 10 years?
A- $8480.00
B- $8409.12
C- $14,326.78
D- $14,555.17
Answers
Answer:
b
Step-by-step explanation:
If you have 5 dimes and one quarter and gave one of your dimes to your best friend, how much money do you have?
Answers
Answer:
65 Cents
Step-by-step explanation:
It costs $60 to buy 10 hamburgers. At this rate, how much would it cost to buy 12 hamburgers? (Use proportions to help you).
i need this answer asap!!
Answers
Answer:
72
Step-by-step explanation:
I divided.$60 by 10 and got $6 per every burger, then I multiplied $6 x 12 and got $72.
online sales result in 35% of sales being returned to their local brick-and-mortar store. what is 35% of 2,000 purchases?
a. 70
b. 240
c. 350
d. 700
Answers
Answer:
b
Step-by-step explanation:
b
Answer:
D) 700
Step-by-step explanation:
I used a calculator so sorry if I can't give a explanation
The area of the rectangle is 5 times the triangle
Answers
Don't know what you mean
While you were at school you hear two students talking about an online business that pays a
piecework rate of $0.02 for stuffing envelopes. One of them says that he was able to stuff 4,382
envelopes during the week. How much was the student's gross pay rounded to the nearest
cent? Do not include a dollar sign in your answer. I got 8.764, is this answer correct ?
Answers
SOMEONE PLEASE ANSWER ASAP!!!!
the formula d=rt relates distance d to rate r and time t. Find how long it takes an airplane to fly 375 miles at 500 miles per hour.
Answers
Answer: 0.75 hours which is the same as 45 minutes
===========================================================
Explanation:
d = distancer = rate, which is another term for speedt = timeWe're told that the plane flies 375 miles and the speed is 500 miles per hour (mph).
This must mean that d = 375 and r = 500. Let's find t
d = r*t
d/r = t .... divide both sides by r
t = d/r
t = 375/500
t = 0.75
It takes 0.75 hours, which is the same as 45 minutes because
0.75*60 = 45
If the plane flew 500 miles and its speed was 500 mph, then it would take 1 hour, so it makes sense that the plane's time was under an hour if it only traveled 375 miles.
Find the missing lengths. Leave answer in simplest radical form.
Answers
b= 3(root 2)
make sure to write the radical over the 2. i attached a picture of what it should look like
A store sold 38 books in 2 hours
At this rare, how many books will
it sell in 7 hours?
Answers
Answer:
133 Books Sold in 7 hours.
Step-by-step explanation:
38 devied by 2 is 19.
Multiply 19 by 7.
19x7= 133.
Simplify the expression:
4b - 24 + 19
4p - 5p - 30p
4.2v - 5 - 6.5v
Answers
4b - 24 + 19 ——> 4b - 5
The second expression only has variables so we simplify the whole expression
4p - 5p - 30p = -31p
The third expression we will only simplify the variables
4.2v - 5 - 6.5v ——> -2.3v - 5
You and a friend go to the store and purchase 3 candy bars that cost $0.85 each and 2
sodas that cost $1.89 each. You are going to split the cost. You have $5. How much change
will you receive?
Answers
Divide 6.33 by 2 equals $3.165
5 minus 3.165 = $1.835
Which $1.835 is your change you receive
I REALLY NEED HELP!!!! Determine how far the intersection of Oak Street and New Street will be from the intersection of Main Street and New Street.
Answers
Answer:
2 = 3.5 0.=3.2
Step-by-step explanation:
hope it helps
I need help on this
Answers
Answer:
C.
Step-by-step explanation:
The Video Rental Club charges a $5 monthly fee and $2.00 charge for each
video rental. The total cost for monthly video rentals depends on how many
movies a member rents. The table below represents the total cost of video
rentals per month.
videos (V)
0
1
2
3
4
monthly cost (c)
$5
$7
$9
$11
$13
Which equation represents the relationship between the cost, c, and the
number of videos, V?
C. c = 2V + 5
D. c = 5v + 2
A. c = 2v
B. C = 5v + 5
Answers
Answer:
C=2v+5
Step-by-step explanation:
C=2v+5
I got this because its 2 dollars PER video plus 5 a month
Solve for the variable. You may use the hangers to help you.
40 = 2f + 12
f
f
40
12
Answers
Answer:
i don't know what the hangers are for but the calculation is given below
Step-by-step explanation:
40 = 2f + 12
40 - 12 = 2f
28 = 2f
28/2 = f
14 = f
therefore f = 14