Answer:
The minimum is the point (-3,2)
Step-by-step explanation:
we have
[tex]x^{2} +6x+11[/tex]
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
Convert the equation in vertex form
Complete the square
[tex]f(x)=(x^{2} +6x+3^2)+11-3^2[/tex]
[tex]f(x)=(x^{2} +6x+9)+11-9[/tex]
[tex]f(x)=(x^{2} +6x+9)+2[/tex]
Rewrite as perfect squares
[tex]f(x)=(x+3)^{2}+2[/tex] ----> equation in vertex form
The vertex is the point (-3,2)
therefore
The minimum is the point (-3,2)
Evaluate 2/3x when x=9/4
Answer:
3/2
Step-by-step explanation:
Plug x into the equation.
We get 2/3(9/4)
Multiply the 2 fractions. Final answer, 3/2.
Lydia's kitchen as about 410 square feet of wall area. One roll of wallpaper covers about 23 square feet. How many rolls of wallpaper will lydia need to paper the walls of the kitchen?
Answer:
410 / 23 = 17.8260869565
Lydia would need about 18 rolls of wallpaper to paper the walls of her kitchen.
EXTRA POINTS IF ANSWERED FAST: Kevin recorded the distances he ran last week. The total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday. How many miles did Kevin run on Wednesday? PLZZZZ ANSSWWWEEERRR
Answer:
[tex]5\frac{2}{3}[/tex] miles.
Step-by-step explanation:
Kevin recorded the distances he ran last week in the table attached to this question.
Now, the total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday.
Hence, {x + (x + 9) + (x + 4)} = {2x + (4x - 2)}
⇒ 3x + 13 = 6x - 2
⇒ 9x = 15
⇒ [tex]x = \frac{15}{9} = \frac{5}{3}[/tex]
Therefore, he ran on Wednesday = x + 4 = [tex]\frac{5}{3} + 4 = \frac{17}{3} = 5\frac{2}{3}[/tex] miles. (Answer)
Answer: 9 miles
Step-by-step explanation:
x + x + 9 + x +4 = 2x + 4x-2
Collecting like terms
x + x + x +9 + 4 = 2x + 4x -2
Collect like terms
3x +13 = 6x -2
3x - 6x = -2 -13
-3x = -15
Divide both side by -3
x = 5
Therefore ; total number he ran on Wednesday
x + 4
If x = 5
Therefore total number he ran on Wednesday = 5+4
= 9
Can anyone answer this? I will give brainliest to whoever answers the fastest and correctly!
Answer:
-1
Step-by-step explanation:
The answer is minus one. The third quadrant only has all negative numbers therefore the answer is -1. All the other answers in the selection is positive.
Answer:
A. -1
Step-by-step explanation:
In the third quadrant, the x-coordinate and the y-coordinate are negative.
The x-coordinate must be a negative number.
Answer: A. -1
on the fast train Yvonne and Lisette traveled 760 kilometers in 4 hours what was the trains average rate of speed
Answer:
190 km an hour
Step-by-step explanation:
Take a factor out of the square root: 4sqrt450
Put a positive factor back into the square root:-5sqrt0.6
please help
Answer:
4[tex]\sqrt{450}[/tex] = 4[tex]\sqrt{25 * 18}[/tex]
= 4 × 5 [tex]\sqrt{18}[/tex]
= 20 [tex]\sqrt{18}[/tex]
= 20 [tex]\sqrt{9 * 2}[/tex]
= 20 × 3 [tex]\sqrt{2}[/tex]
= 60 [tex]\sqrt{2}[/tex]
-5 [tex]\sqrt{0.6}[/tex] = -5 [tex]\sqrt{0.6}[/tex]
= - [tex]\sqrt{25 * 0.6}[/tex]
= - [tex]\sqrt{25 * \frac{3}{5}[/tex]
= - [tex]\sqrt{15}[/tex]
Steps Explanation:
simplify 450 to 25 * 18now we can take the square root of 25 to give 5, which is factored out.follow this step to the end till it is completely simplifiedFor the second part, factor in 5 by squaring it to give 25 and simplify to the endThe sum of 2 consecutive integers is -95 what are they
Answer:
The two integers are -47 and -48.
Step-by-step explanation:
Let the two consecutive integers be [tex]$ (n - 1) $[/tex] and [tex]$ n $[/tex].
Given that their sum is -95.
⇒ (n - 1) + n = - 95
⇒ 2n - 1 = - 95
⇒ 2n = - 94
Dividing by 2 throughout, we get:
n = - 47
⇒ n - 1 = - 47 - 1 = - 48
Therefore, the two integers should be - 47 and - 48.
What is the measure in degrees of 2 show your work explain your answer
Help
Answer:
45 degrees
Step-by-step explanation:
because 2 and 5 are vertical angles they are therefore congruent by definition, 5 is half of one and one is a right angle so measure angle 2 = 45 degrees
Answer:
50
Step-by-step explanation:
The total of all 6 angles make a circle, which equals 360°. Using the information below the figure,
2 * m∠5 = 90°, since 2 * m∠5 = m∠1 and ∠1 is a right angle.
Because ∠1, ∠5, and ∠6 are on one side of line L, they must equal 180°, and if ∠1 equals 90°,
m∠5 + m∠6=90°.
Since 2 * m∠5=m∠1 and m∠1=90°, m∠1 must be 45°. And by Transitive Property, m∠6 also equals 90°.
If the total measure of the angles is 360° and ∠1, ∠5, and ∠6 add up to 180°, ∠2, ∠3, and ∠4 must also add to 180°.
m∠6=m∠3 - 20°. We know that m∠6 is 45°, so we put that into an equation. I am going to use x as the measure of ∠3.
45=x-20 >>> 20+45=x-20+20 >>> 20+45=x >>> 65=x >>> x=m∠3 >>> m∠3=65
m∠3=m∠4, so m∠3+m∠4=65+65, or 130. And like I said above, ∠2, ∠3, and ∠4 must add to 180°. 180 minus 130 (the measure of ∠3 + ∠4) = 50, which has to be the measure of ∠2
In a school, only 13 out of 15 student participate in a competition.what is the probability of the student who do not makes it to the competition?
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
Number of students participating in the competition = 13.
Total number of students in the school = 15.
Thus ,
the number of students who did not make to this competition =
Total number of students - number of students participated
= 15-13 = 2.
Now ,
probability of the student who do not makes it to the competition
= fraction of students who did not make to this competition from the total number of students .
=[tex]\frac{2}{15}[/tex].
1. 112 in 8 hours
2.150 miles in 6 gallons
Answer:
first step divide 112 by 8 which is going to give you 14 per hours. second step 150 by 6 is going to give you 25 per hours
I'm assuming that you want to find the unit rate of both scenarios.
I'm going to assume that you meant 112 miles in 8 hours.
Divide to find the unit rate: 112 / 8 = 14 miles per hour.
150 miles in 6 gallons
Divide to find the unit rate: 150 / 6 = 25 miles per gallon.
Best of Luck!
Evaluate. 12+4⋅3−15 Enter your answer in the box.
Answer:
the answer is 1.3
Step-by-step explanation:
12+4.3 is 16.3
16.3-15 is 1.3
Answer:
9
Step-by-step explanation:
PEMDAS stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
So, the first thing you would do is Multiply:
12+4*3-15
12+12-15
Then Add:
24-15
Finally Subtract:
9
How do you do this equation: 9|5x+8|=54
Answer (2 answers):
x = -2/5, x = -14/5
Step-by-step explanation:
First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.
9|5x+8|=54
|5x+8| = 54/9
|5x+8| = 6
Remember how absolute values turn everything positive? For example
|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.
|5x+8| = 6 and |-(5x+8)| = 6
now solve the first equation.
(Just remove the absolute value sign and solve it normally)
5x+8 = 6
5x = -2
x = -2/5
Now solve the other equation
-(5x+8) = 6
-5x - 8 = 6
-5x = 14
x = -14/5
Factorization of 45r+63s+63
Answer:
9(5r+7s+7)
Step-by-step explanation:
Answer:
9(5r+7s+7)
Step-by-step explanation:
Rewrite 63 as 7*9
Rewrite 63 as 7*9
Rewrite 45 as 5*9
=5 * 9r+ 7 * 9s + 7 * 9
Factor out common term: 9
= 9(5r+7s+7)
A cone has a diameter of 6 cm and a height that is 3 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?
A) 1/3(3.14)(3cm)^2(18cm)
B) 1/3(3.14)(6cm)^2(18cm)
C) 1/3(3.14)(18cm)^2(3cm)
D) 1/3(3.14)(18cm)^2(6cm)
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Step-by-step explanation:
Given
Diameter of Cone = d = 6 cm
Radius will be:
r = d/2 = 6/2 = 3 cm
Height of cone = h = 3d = 18 cm
The volume of cone is given by:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Putting the values
[tex]V = \frac{1}{3} (3.14)(3)^2(18)[/tex]
Hence,
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Keywords: Volume, cone
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Can u guys PLEASE answer this question ASAP using the table below
Becky earns $633.81 for a 40 hour week. Any overtime is paid at double-time.
a) Using the tax schedule below, what is the tax payable on Becky's normal wage?
b) How many hours overtime can she work in a year and still remain in the same tax category?
Answer:
Tax on her normal wage is $ 6755
She can work 176 hours in a year and still remain in the same tax category
Step-by-step explanation:
Becky earns $633.81 for a 40 hour week.
Her normal monthly wage is $ 633.81 *4 = $ 2535.24
Her annual income is $ 2535.2 *12= $ 30,422.88
Tax on her annual income is $30,422.88- $ 20,700= $9722.88
Tax on $ 20,700 is $ 3060
Tax on remaining $ 9722.88 is 0.38*9722.88= $36,95
Total tax is $ 3060 + $ 3695= $ 6755
She can earn up to ( $ 36,000- $ 30, 423=) $ 5577 to remain in the same tax bracket.
She earns $633.81/40= $ 15.84 in one hour
She gets twice the wage for the overtime $ 31. 69
No of hours she can work = $5577/ $ 31.69 = 175.98 almost 176 hours
Can someone help me with these problems? I'm in k12 and this assignment was in classkick, so if anyone already completed this and can help, please do. I also am going to be asking some more questions, if you can help with those too. Thanks! (Will give brainliest.)
Answer: Domain = { -3 , 6 , 5 , -6}
Range = { 7 , 2 , -1 , -6 }
Step-by-step explanation:
considering the points given
[tex]x_{1}[/tex] = -3 [tex]y_{1}[/tex] = 7
[tex]x_{2}[/tex] = 6 [tex]y_{2}[/tex] = 2
[tex]x_{3}[/tex] = 5 [tex]y_{3}[/tex] = -1
[tex]x_{4}[/tex] = -9 [tex]y_{4}[/tex] = -6
This shows that that is relationship between the values of x and the values of y.
All the values of x represent the domain and all the values of y represent the range.
Therefore :
Domain = { -3 , 6 , 5 , -6}
Range = { 7 , 2 , -1 , -6 }
A company sell earbuds for $17 each. At the end of the week,they have sold $731 worth of earbuds.how many earbuds did they sell? Write and solve an equation to find the answer
Answer:
43 earbuds
Step-by-step explanation:
Let x be the number of earbuds sold over the week
This implies that
1 earbud:$17
x earbud:$731
Writing an equation, we get
[tex] \frac{1}{17} = \frac{x}{731} [/tex]
cross multiplying, we obtain
17x=731
Dividing through by 17,we get
x=43
Find the equation in slope - intercept form that describes a line through (2,4) with slope 0
Answer:
y=4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=0(x-2)
y-4=0
y=0+4
y=4
9. Using the diagram below, if < 2 = 107*. find each missing angle:
M24 =
m26 =
mZ8 =
m25 =
m27 =
Answer:
24
Step-by-step explanation:
Two different ways to solve 1/4x-5=3/4x-12
Answer:
Step-by-step explanation:
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What is the y intercept of (-4,5) and (1,-7.5
-2x-16+0
Solve for X
Answer:
x = -8
Step-by-step explanation:
-2x-16+0 = 0
Combine like terms.
-2x-16 = 0
Add 16 to both sides (to isolate the -2x from -16)
-2x = 16
Divide both sides by -2 to isolate the x from -2
x = -8
cross product property
Using the cross product property on this proportion gives us the following equation:
20 (2x - 9) = 10 (9)
Use the distributive property and multiply
40x - 180 = 90
Add 180 to both sides
40x = 270
Divide 40 from both sides
x = 270/40
Simplify fraction
x = 27/4
This should be your answer. Let me know if you need any clarifications, thanks!
The cross product is a type of multiplication between vectors that results in a vector product. It has the distributive property and is anticommutative.
Explanation:The cross product is a type of multiplication between vectors that results in a vector product. It is denoted by the symbol A x B and is also known as the vector product.
The cross product has the distributive property, which allows us to distribute a vector across the sum of two other vectors. For example, A x (B + C) = (A x B) + (A x C).
The cross product is anticommutative, meaning that the order in which we multiply two vectors matters. A x B = -B x A.
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I candy store sells 100 types of candy. Out of these 100 types, 2/5 contain chocolate. How many contain chocolate?
Answer:
Step-by-step explanation:
so 2/5 of 100 contain chocolate...
2/5 * 100 = 200/5 = 40 <== contain chocolate
mathematics help plz
Answer: 4, 6,7,10
Step-by-step explanation: since X is greater than 3, then X can assume all numbers great than 3.
Answer:
4, 6, 7, 10Step-by-step explanation:
x > 3 - we read: all numbers greater than number 3
Therefore:
#1: NOT, because -1 < 3 and -2 < 3
#2: NOT, because all numbers are less than 3
#3: NOT, because 3 is not greater than 3
#4: YES, because all numbers are greater than 3.
Evaluate 18 - (2 + 6h), if h= 2
Good morning,
Answer:
if h= 2 ⇒ 18 - (2 + 6h) = 4.
Step-by-step explanation:
if h= 2 Then 18 - (2 + 6h) = 18 -(2+6×2) = 18 - 14 = 4.
:)
A company's stock was selling at
$16 a share. A month later, it was
selling at $20 a share. What is
the percent increase?
[?]%
old: $16
new: $20
percent increase
-> formula: (new-old / old) x 100
(20-16 / 16) x 100
4/16 x 100
0.25 x 100
answer: 25% increase
According to the question,
Old selling price,
$16New selling price,
$20We know the formula,
→ [tex]Percent \ increase = \frac{New \ selling \ price- Old \ selling \ price}{Old \ selling \ price}\times 100[/tex]
By putting the values,
[tex]= \frac{20-16}{16}\times 100[/tex]
[tex]= \frac{4}{16}\times 100[/tex]
[tex]= 0.25\times 100[/tex]
[tex]= 25[/tex] (%)
Thus the above approach is appropriate.
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The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x).
What is the unit rate, expressed in kilometers per minute?
Answer:
[tex]4\dfrac{1}{6}\ \text{kilometers per minute}[/tex]
Step-by-step explanation:
The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x). This graph passes through the point (75,30). This means that in 30 minutes (x = 30), it was traveled 75 kilometers.
To find unit rate, divide the number of kilometers by the number of minutes:
[tex]\dfrac{75}{30}=\dfrac{25}{6}=4\dfrac{1}{6}\ \text{kilometers per minute}[/tex]
2/2 - 1/4 show answer subtracting fractions
Answer:
3/4
Step-by-step explanation:
2/2=1
1-1/4=4/4-1/4=3/4
Answer:
3/4
Step-by-step explanation:
1. Cancel 2.
1 - 1/4.
2. Get the same dominators.
1 X 1/4 X 4/4
3. Simplify.
4/4 - 1/4.
4-1/4
3/4
The solution of a +b > 12 is a > -3. What is the value of b?
Step-by-step explanation:
[tex]a + b > 12 \\ [/tex]
but
[tex] \\ a > - 3 \\ [/tex]
if
[tex]a = - 3 \\ then \: \\ a + b > 12 \\ - 3 + b > 12 \\ b > 12 + 3 \\ b > 15[/tex]
Answer:
its -3
Step-by-step explanation: