Answers
Answer:
x = 4 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
to find the solutions equate the quadratic to zero
x² - 8x + 11 = 0 ( subtract 11 from both sides )
x² - 8x = - 11
solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 11 + 16
(x - 4)² = 5 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{5}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{5}[/tex]
Related Questions
At the Sunshine Bakery, 351 loaves of seven-grain bread were baked in six hours and 15 minutes. Estimate how many loaves were baked in one hour.
60
55
65
70
Answers
Answer:
B
Step-by-step explanation:
We know that 351 loaves were baked in six hours and 15 minutes.
First, let's convert the time to minutes. 6 hours is 360 minutes, so 6 hours and 15 minutes is 360 + 15 = 375 minutes.
Therefore, we can write the following ratio:
[tex]\frac{351\text{ loaves}}{375\text{ minutes}}[/tex]
We want to estimate how many loaves were baked in one hour or 60 minutes. So, we can write the following proportion:
[tex]\frac{351\text{ loaves}}{375\text{ minutes}}=\frac{x\text{ loaves}}{60\text{ minutes}}[/tex]
Note that the loaves and time align horizontally, while the rates align vertically.
Since we're estimating, let's change 351 to 350 (I'm also going to remove the words, since they're not necessary). So:
[tex]\frac{350}{375}=\frac{x}{60}[/tex]
We can reduce the left by dividing by 25. This yields:
[tex]\frac{14}{15}=\frac{x}{60}[/tex]
Cross multiply:
[tex]15x=60(14)[/tex]
Multiply and solve for x. So:
[tex]15x=840\\\Rightarrow x=56\approx55\text{ loaves}[/tex]
Therefore, approximately 55 loaves were baked in one hour.
So, our answer is B.
And we're done!
Answer:
B) 55Step-by-step explanation:
given
351 loaves baked in 6 hrs and 15 min.
15 min x (1 hr / 60 min) = 0.25 hr
find:
Estimate how many loaves were baked in one hour.
its a ratio and proportion:
351 loaves = x loaves ( just cross multiply)
6.25 hr 1 hr.
x loaves = 351 loaves ( 1 hr.)
6.25 hr.
= 56 ------->>> say 55
Find the m∠IHQ if m∠IHG is 176° and m∠QHG is 130°
Answers
3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of the year. if there were 149 students taking advanced math at the end of the year, how many total 7th grade students are there?
Answers
Answer:
416 I believe.
Step-by-step explanation:
add 7 to 149
divide 156 by 3 to get 1/8 of total.
Get 52 and then multiply by 8 to get 416
if a and b are integers,what conditions would make a×b > 0?
Answers
Answer:
a and b must be positive integers
Step-by-step explanation:
for example- a= (+1)x(+2)
= (+2)
= (+2)>0
= axb>0
Thank U
Given the function f(x) = 5x -1, what is the value of f(4)?
O 1
019
O4
-1
N
Answers
which word most closely means: how many parts are out of the whole *
Answers
Lcm of 6 and 28 pls help
Answers
Answer:
84
Step-by-step explanation:
Because 28•3=84
And 6•14=84
Consider the diagram below.
1) The measure of
2) The sum of m
Answers
Answer:
<a=61 m<c and m<b=90
Step-by-step explanation:
PLS HELPPP
Are the triangles similar? If they are, identify the similarity ratio.
Answers
Divide the corresponding sides
3/6 = 0.5
5/4 = 1.25
6/8 = 0.75
We get different results, so the sides are not in the same ratio or proportion.
The triangles are not similar.Sara reduced the time it takes her to run a mile from 8
minutes to 6 minutes. What was Sara's percent decrease
in the time it takes her to run a mile?
A. 14%
B. 25%
C. 33%
D. 75%
Answers
Answer:
25%
Step-by-step explanation:
-14/2 is = to what number my brain is saying no to math today.
Answers
Answer:
the answer would have to be -7
I have to finish this by midnight and I forgot how to do this
Answers
which of the following shows the correct meter reading consumed? a.2419KW b.2491KW c.2548KW d.2584KW pls answer thank you
Answers
Answer:
c.2548KW
Step-by-step explanation:
The correct reading of the meter is;
First meter,---2000
Second meter----500
Third meter ------40
Fourth meter -------8
Total 2000+500+40+8 = 2548 kilo watts.
The answer option A,B, and D are not correct because the answers have incorrect meter reading values.
What property is 6m•1=6m
Answers
Answer:
This equation is a tautology (Something which is always true)
Step-by-step explanation:
Work out the mean of these numbers:
root 27, root 48, root 75
give your answer in the form a root 3 where a is an integer
Answers
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify the radicals
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]
Now mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]
Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.
3x+6+1=2x+8+2x
Answers
Answer:
One solution
Step-by-step explanation:
X is equal to -1 meaning you can only plug in -1 for this equation to be true and not any other number
The sum of two numbers is 14 and their product is 45. Represent an equation that could find the two numbers
Answers
5 + 9 = 14
Two complementary angles are in the ratio 7 :11. Find the angles
Answers
Answer:
7x+11x=90
18x=90
x=5
one angle = 35 degrees
another angle = 55 degrees
Step-by-step explanation:
Can someone help me out please txt 100 points no problem
Answers
Answer:
trigonometry: a^2+b^2=c^2
7= slant
4= half of base (8/2)
[tex] {7}^{2} + {4 }^{2} = \sqrt{65} [/tex]
[tex] \sqrt{65} = 8.06[/tex]
he is 6.5 so yeah he can fit
SHOW WORK AND I WILL GIVE BRAINIEST!!! Lisa is making some spiced tea for her mom. The recipe calls for 2.5 cups of sugar for each cup of tea. If she only uses 3/4 cups of tea, how much sugar should she use?
Answers
Answer:
She should use 1.875 cups of sugar
Step-by-step explanation:
Find the ratio by cross multiplying
Answer:
I think it is 0.3
Step-by-step explanation:
Because, 3/4 divided by 2.5= 0.3
Why is 3+(-5) equal to -2
Answers
Answer:
c
Step-by-step explanation:
Here's an example: 3/5 divided by 7/8.
3/5
_____
7/8
Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:
3/5 1 3/5 3/5
_____ * _____ = _______ = ______ = 3/5
7/8 8/7 56/56 1
Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.
For comparison, here's the RIGHT way:
3/5 8/7 24/35 24/35
_____ * _____ = _______ = _______ = 24/35
7/8 8/7 56/56 1
In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
– 10
– 5
– 1
0
1
5
10
Answers
Answer:
-10, -1, 5
To find the zeros of a function, you have to set each factor to zero in separate equations, and then solve for x.
x+10=0
Subtract 10 from each side
x=-10
x-5=0
Add 5 to both sides
x=5
x+1=0
Subtract 1 from both sides
x=-1
HELP PLSSS 15 points
Big Mitch held 500 pounds in a weightlifting competition. To win the
competition, Big Mitch must add 50 pounds to his best lift. If the variable w
stands for the amount of additional weight Mitch can hold, which of the
following units could apply to that variable?
A. meters
B. gallons
C. pounds
D. inches
Answers
1 over 7 of 2 over 5 is equal to
Answers
Answer:
2/35
Step-by-step explanation:
1 over 7 is 1/7, of means times, and 2 over 5 is 2/5, so 1/7*2/5
Hope that this helps!
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation 10x+12y=300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.
Answers
Question:
a. Graph the equation.
b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.
Answer:
See attachment for graph
12 long-sleeved shirts
Step-by-step explanation:
Given
[tex]10x + 12y = 300[/tex]
Plotting the graph:
Set x = 0
[tex]10(0) + 12y = 300[/tex]
[tex]12y = 300[/tex]
[tex]y = 300/12[/tex] --- divide through by 12
[tex]y = 25[/tex]
Set x = 0
[tex]10x + 12(0) = 300[/tex]
[tex]10x = 300[/tex]
[tex]x = 300/10[/tex] --- divide through by 10
[tex]x = 30[/tex]
So, the graph will be plotted using: (0, 25) and (30, 0)
See attachment for graph
Determine y when x = 12
[tex]10x + 12y = 300[/tex]
[tex]10(12) + 12y = 300[/tex]
[tex]120 +12y = 300[/tex]
[tex]12y = 300 - 120[/tex] --- collect like terms
[tex]12y = 180[/tex]
[tex]y = 180/12[/tex] -- solve for y
[tex]y = 15[/tex]
Estimate.
509 × 36
help plz!
Answers
Answer: ≈20,400
Explanation:
Theoretically, you'd bring 509 up to 510 and 36 up to 40.
510 x 40= 20,400
Sorry if I'm wrong ^^
Plzzz help! I’ll give you the Brainliest.
If a sailing ship traveled 100 miles (160 kilometres) a day about how many days would it take to travel between London and New York City? Explain.
Distance: __________
Travel Time: __________
Hint: find the distance between London and New York City first.
Plz tell me the distance and travel time it took.
Thank you!
Answers
Answer: distance: 160 kilometres
travel time:100
Step-by-step explanation:
Answer:
94 days 9400 distance
Step-by-step explanation:
Put in order from least to greatest {-6, 8, 10, 15}
Answers
Answer:
-6 , 8 , 10 , 15
Negatives are less than positives so they're first
23) 2,747
What’s the quotient
Answers
Answer:
119.434783
Step-by-step explanation:
Long division.
Dereck spends $3 on breakfast and 5.50 on luch every school day.How much does he spend on breakfast and lunch in a school week (monday-friday)
Answers
Answer:
$42.50
Step-by-step explanation:
3 + 5.5 per day = 8.5
8.5 x 5 days per week = $42.50 per week (mon-fri)