Answer:
hello :
the axis of symmetry is the line wher an equation is : x =2
the vertex is : ( 2 ; 5 )
Step-by-step explanation:
write this expression in the vertex form :
y=-x²-4x+1
y = - ((x² +4x +4) -4) +1
y = - (x -2)²+5
the axis of symmetry is the line wher an equation is : x =2
the vertex is : ( 2 ; 5 )
9 is what percent of 50
All you have to do is divide 9/50, which equals 0.18 Move the decimal 2 units to the right to get 18% as your answer
Hope this helps you!
The 9 is 18% percent of 50.
Given that,
There are 2 numbers i.e. 9 and 50.We need to find out the percentage.Based on the above information, the calculation is as follows:
[tex]= 18\div 100\\\\= 9\div 50[/tex]
So here we can conclude that The 9 is 18% percent of 50.
Learn more: brainly.com/question/6201432
Which unit would you use to measure the height of a bird? mm cm m km
I would use the centimeter to measure the height of a bird.
I’m assuming centimeters because km is like miles and mm is for something else not for height
the width of a rectangular flower bed is 7ft less than the length. The area is 18ftsq. Find the length and the width
Answer:
width = 2ft and length = 9ft
Step-by-step explanation:
width W = x
length L = x +7
area of a rectangle A = L * W
18 = (x + 7) * x
18 = x² + 7x
x² + 7x -18 =0
solve the equation by factorisation
x² -2x + 9x - 18 =0
x(x - 2) + 9(x - 2) =0
(x - 2)(x + 9) = 0
x = 2 and -9
therefore the width is 2ft because it is positive and the negative value is ignored
the length = 2 + 7 = 9ft
Answer:
width = 2ft and length = 9ft
Step-by-step explanation:
What’s is the next number?
2,3,5,7,11,13,17
Answer:
19
Step-by-step explanation:
It is all prime numbers. The next prime number after 17 is 19.
Part A
given that P=(5,4), Q=(7,3), R=(8,6), and S=(4,1), find the component form of the vector PQ+4RS.
a.(18,19)
b.(-2,-6)
c.(-14,-21)
d.(-18,-19)
Part B
Use the information from part A to find the magnitude of the vector PQ+4RS.
a. 2sqrt10
b. 7sqrt13
c. sqrt35
d. 637
Answer:
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:-14,-21\:>\:[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}[/tex]
Step-by-step explanation:
The given points have coordinates; P=(5,4), Q=(7,3), R=(8,6), and S=(4,1).
[tex]^{\to}_{PQ}=^{\to}_{OQ}-^{\to}_{OP}[/tex]
[tex]^{\to}_{PQ}=<\:7,3\:>\:-\:<\:5,4\:>[/tex]
[tex]^{\to}_{PQ}=<\:7-5,3-4\:>\:[/tex]
[tex]^{\to}_{PQ}=<\:2,-1\:>\:[/tex]
[tex]^{\to}_{RS}=^{\to}_{OS}-^{\to}_{OR}[/tex]
[tex]^{\to}_{RS}=<\:4,1\:>\:-\:<\:8,6\:>[/tex]
[tex]^{\to}_{RS}=<\:4-8,1-6\:>\:[/tex]
[tex]^{\to}_{RS}=<\:-4,-5\:>\:[/tex]
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2,-1\:>\:+4\:<\:-4,-5\:>\:[/tex]
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2,-1\:>\:+\:<\:-16,-20\:>\:[/tex]
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2-16,-1-20\:>\:[/tex]
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:-14,-21\:>\:[/tex]
The correct answer is C
The magnitude is given by:
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{x^2+y^2}[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{(-14)^2+(-21)^2}[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{196+441}[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{637}[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}[/tex]
The correct answer is B
Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (fog)(-5)
ANSWER
[tex]( f \circ \: g)( - 5)= -53[/tex]
EXPLANATION
The given functions are:
f(x) = -2x - 7 and g(x) = -4x + 3
[tex]( f \circ \: g)(x) = f(g(x))[/tex]
[tex]( f \circ \: g)(x) = f( - 4x + 3)[/tex]
[tex]( f \circ \: g)(x) = - 2( - 4x + 3) - 7[/tex]
Expand:
[tex]( f \circ \: g)(x) = 8x - 6 - 7[/tex]
[tex]( f \circ \: g)(x) = 8x - 13[/tex]
We substitute x=-5
[tex]( f \circ \: g)( - 5) = 8( - 5) - 13 = -53[/tex]
The question is in the picture
Answer:
45 degrees
Step-by-step explanation:
Inscribed angles are always half of the value of the central angle, therefore half of 90 degrees would be 45 degrees.
Which graph represents the function f(x) = |x|? Image for option 1 Image for option 2 Image for option 3 Image for option 4
Answer:
The correct option is 4.
Step-by-step explanation:
The given function is,
It is a modulus function and its parent function is,
In a function,
If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.
Since k is , therefore the shoes the vertical compression.
put x=0 in the given function.
Put x=3.
Therefore the graph passing through (0,0) and (3,1).
So the fourth option is correct.
Hope this helps :)
The graph represents the function f(x) = |x| correct option is fourth image 4.
The given function is,
It is a modulus function and its parent function is,
In a function,
If k>1, then the graph of g(x) stretches vertically, and if k<1 then the graph of g(x) is compressed vertically.
Since k is, therefore the shoes the vertical compression.
What is vertical compression?Vertical compression means making the y-value smaller for any given value of x, and you can do it by multiplying the entire function by something less than 1. Horizontal stretching means making the x-value bigger for any given value of y, and you can do it by multiplying x by a fraction before any other operations.
put x=0 in the given function.
Put x=3.
Therefore the graph passes through (0,0) and (3,1).
So the fourth option is correct.
To learn more about the graph of function visit:
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the clock in our classroom has a radius of 9 inches. if its 4:00, find the arc length and area of the sector for this time.
Answer:
6pi; 27pi
Step-by-step explanation:
Since 4:00 is 120 degrees on a clock, then it is 120/360 or 1/3 of the clock. Now let’s find the arch length! Since the radius of the clock is 9, then the circumference will be 18pi. Since 1/3 of the clock is 4:00, then the arc length is 1/3 of the circumference. SO the arc length is 6pi.
Now let’s find the area of the sector. Since the radius is 9, then the area is 81pi. So 1/3 of that is 27pi.
A pentagon has the following measurements what is interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). Which of the following could be measurements for interior angles of a pentagon.
Answer:
60°
68°
76°
193°
Step-by-step explanation:
step 1
Calculate the sum of the interior angles in a pentagon
The formula to calculate the sum of the interior angles is equal to
S=(n-2)180°
where
n is the number of sides
In this problem
n=5 sides
substitute
S=(5-2)180°=540°
step 2
Find the value of x
(x-8)+(3x-11)+(x+8)+(x+(2x+7)=540°
(8x-4)=540°
8x=540°+4°
x=544°/8=68°
step 3
Find the measures of the internal angles of the pentagon
(68-8)°=60°
(3*68-11)=193°
(68+8)=76°
68°
(2*68+7)=143°
was the answer they put right?
find the solution to the equation by completing the square x^2-6x=7. what is the smallest and largest value of x
Answer:
smallest value of x = -1
Largest value of x = 7
Step-by-step explanation:
[tex]x^2-6x=7[/tex]
coefficient of x = -6
Half of the coefficient of x = -6/2 = -3
Square of the half value [tex]=(-3)^2=9[/tex]
Add the square value on both sides of equation
[tex]x^2-6x+9=7+9[/tex]
[tex](x-3)^2=16[/tex]
Take square root
[tex]x-3= \pm \sqrt{16}[/tex]
[tex]x-3= \pm 4[/tex]
[tex]x-3=+4[/tex] or [tex]x-3=-4[/tex]
[tex]x=+4+3[/tex] or [tex]x=-4+3[/tex]
[tex]x=7[/tex] or [tex]x=-1[/tex]
Hence smallest value of x = -1
Largest value of x = 7
Tiffani works in a baby shop in which she prints personalized bibs. She uses a probability model to predict that the next customer ordering a white bib would be 30%. For one day, Tiffani gathers data by tallying the the number of customers who order each color in this table.
Color Tally
white 21
grey 9
blue 15
pink 26
Based on her experiment, which statement is true?
Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.
Tiffani's prediction is not valid. The probability of the next customer ordering a white bib should be about 21% because 21 people ordered white in her data.
Tiffani's prediction is not valid. The next customer ordering a white bib would be the same as any color, so the probability should be about 25%.
There is not enough information to determine the validity of her prediction.
Answer:
Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.
Step-by-step explanation:
First you add all of your amounts together
21 + 9 + 15 + 26 = 71
Then to find the probability of the next customer buying a white bib you divide 21 by 71
21/71 = 0.295
Which is approximately 30%
I hope this helped!
Help me with this problem
Answer:
XY = 74
Step-by-step explanation:
Using the information given, plug it into the perimeter formula [P=2(l)+2(w)]
90 = 2 (5y - 1) + 2 (4y + 1)
Distribute
90 = 10y - 2 + 8y + 2
Combine like-terms
90 = 18y
Isolate the variable
y = 15
Then, plug it into XY
5 (15) - 1
Multiply
75 - 1
Combine
74
Answer:
XY = 24
Step-by-step explanation:
The perimeter of the rectangle is
2(5y - 1) + 2(4y + 1) = 90 ← distribute parenthesis on left side
10y - 2 + 8y + 2 = 90
18y = 90 ( divide both sides by 18 )
y = 5
XY = 5y - 1 = (5 × 5) - 1 = 25 - 1 = 24
How many x-intercepts does the graph of the given equation have use the discriminant y=-4x^2+4x-1
[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-4}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{-1} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} \boxed{0}&\textit{one solution}~~\checkmark\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ 4^2-4(-4)(-1)\implies 16-16\implies \boxed{0}[/tex]
How much paper will it take to make each tree including the bottom??
The bottom is a square with a side length of 2 ft.
The area of a square is Area = S^2 = 2^2 = 4 square ft. Bottom)
The area of one side ( triangle) = 1/2 x base x height = 1/2 x 2 x 4 = 4 square ft.
There are 4 triangles: 4 x 4 sq. ft. = 16 sq.ft. ( four sides)
Total area = four sides + bottom = 16 + 4 = 20 feet^2
Six times the sum of a number and twelve is forty.
Which equation represents this?
O 6N + 12N = 40
O 6N + 12 = 40
6(N + 12) = 40
Answer:
6(N + 12) = 40
Step-by-step explanation:
Number = N
Sum of a number and twelve:
N + 12
Six times the sum of a number and twelve:
6(N + 12)
Six times the sum of a number and twelve is forty:
6(N + 12) = 40
Answer:
6(N+12) = 40
Step-by-step explanation:
The statement says six times the sum . . .
From this we can tell that the answer will be 6 times two numbers added together. Those two numbers are "a number" (some variable) and 12.
We can tell that the variable is N, so it answer must be 6(N + 12) = 40
In triangle ABC, m A = 25°, m B = 55°, and a = 10.73. Use the law of sines to find b. Round your answer to the nearest tenth.
Answer:
Option A. [tex]b=20.8\ units[/tex]
Step-by-step explanation:
we know that
Applying the law of sines
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]
substitute the values and solve for b
[tex]\frac{10.73}{sin(25\°)}=\frac{b}{sin(55\°)}\\ \\ b=10.73*sin(55\°)/sin(25\°)\\ \\b=20.8\ units[/tex]
Answer:
20.8 option A
Step-by-step explanation:
sine law for triangle states that
sin A / a = sin B / b = sin C / c ( equation for sine law )
where m A = 25°
m B = 55°
a = 10.73
b = unknown
from the equation for sine law
sin m A / a = sin m B / b
sin 25° / 10.73 = sin 55° / b
0.4226 / 10.73 = 0.8191 / b
0.0394 = 0.8191 / b equation 2
cross multiply equation 2 becomes
0.0394 b = 0.8191
therefore b = 0.8191 / 0.0394 = 20.789 to the nearest tenth will be 20.8
What is the solution to the equation 3x+9-7x=2(x+6)
The answer is x equals 1/2.
Answer:
X = - 1/2
Step-by-step explanation:
3x+9-7x=2(x+6)
9-4x=2x+12
6x=-3
x=-1/2
Which statement describes the graph of g(x) with respect to the graph f(x)?
a. let f(x)=(x+3)^2+2
let g(x)=(x+3)^2-3
* it is translated right 5 units
* stretched horizontally by a
factor of -3
* compressed vertically by a
factor of -3
* it is translated down 5 units
b. let f(x)=x^2 +5
let g(x)=(x+1)^2+5
* it is translated right 1 unit
* it is translated left 1 unit
*it is translated up 1 unit
* compressed vertically by a
factor of 5
c. Let f(x)=(x+6)^2
let g(x)=2(x+6)^2
* it is compressed horizontally by a factor of 2
* it is translated up 2 units
* it is translated right 2 units
* it is stretched vertically by a factor of 2
show work and answer please
Answer:
a. Translated down 5 units.
b. Translated 1 to the left.
c. Stretched vertically by a factor 2.
Step-by-step explanation:
a. It is translated down by 2 - (-3) = 5 units.
b. The x in f(x) is replaced by (x + 1) to gives g(x).
It is translated left by 1 unit.
c. The 2 stretches it vertically by a factor of 2.
Using translation concepts, it is found that the correct options are given by:
a) it is translated down 5 units.
b) it is translated left 1 unit.
c) it is stretched vertically by a factor of 2.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem:
In item a, 5 was subtracted from the function, hence it was shifted down 5 units.In item b, we have that x -> x + 1, hence it was shifted left 1 unit.In item c, the function was multiplied by 2, hence it was vertically stretched 2 units.More can be learned about translation concepts at https://brainly.com/question/4521517
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PLEASE HELP!! WILL MARK BRAINLEST!!!! 2/n=2/3
2/n=2/3 ok to start you cross multiply so you would end up with 2*3=2n then you simplify and you get 6=2n now you divide both sides by 2 and end up with 3 so you answer is C. n=3
Answer:
The correct answer option is C. n = 3.
Step-by-step explanation:
We are given the following expression and we are to solve for [tex] n [/tex]:
[tex] \frac { 2 } { n } = \frac { 2 } { 3 } [/tex]
To solve this, we will use the method called cross multiplication where the numerator of left side is multiplied with the denominator of right side and vice versa.
[tex]3 \times 2 = 2 \times n[/tex]
[tex]2n = 6[/tex]
[tex]n=\frac{6}{2}[/tex]
[tex]n=3[/tex]
Therefore, the correct answer option is C. n = 3.
write an equation that is the slope-intercept form of the equation of the line that passes through (1,2) and is parallel to 4x-2y=6
Answer:
y=2x
Step-by-step explanation:
If the line is parallel to 4x-2y=6, it means that it has the same slope. So let's first find the slope.
Rearranging, we get
-2y=-4x+6
2y=4x-6
y=2x-3.
So, the slope is 2.
Next, we can use the point slope formula
y-y_1=m(x-x_1)
Substituting, we get
y-2=2(x-1)
y-2=2x-2
y=2x
Which two transformations are applied to pentagon ABCDE to create A’B’C’D’E’?
The pentagon was reflected across the x-axis. By looking at Point A, you can see x was increased 8, x+8. Also, y was increased by 2, y+2.
Answer:
The correct option is c.
Step-by-step explanation:
From the given figure it is clear that the vertices of preimage are A(-5,-2), B(-7,-3), C(-6,-6), D(-3,-5) and E(-3,-3).
The vertices of image are A'(3,6), B'(5,5), C'(4,2), D'(1,3) and E'(1,5).
If figure translated 2 units right and 8 units up then
[tex](x,y)\rightarrow (x+2,y+8)[/tex]
The vertices of pentagon after translation.
[tex]A(-5,-2)\rightarrow A_1(-3,6)[/tex]
[tex]B(-7,-3)\rightarrow B_1(-5,5)[/tex]
[tex]C(-6,-6)\rightarrow C_1(-4,2)[/tex]
[tex]D(-3,-5)\rightarrow D_1(-1,3)[/tex]
[tex]E(-3,-3)\rightarrow E_1(-1,5)[/tex]
If the figure reflected across y-axis, then
[tex](x,y)\rightarrow (-x,y)[/tex]
The vertices of pentagon after translation by rule [tex](x,y)\rightarrow (x+2,y+8)[/tex] followed by reflection across y-axis are
[tex]A_1(-3,6)\rightarrow A'(3,6)[/tex]
[tex]B_1(-5,5)\rightarrow B'(5,5)[/tex]
[tex]C_1(-4,2)\rightarrow C'(4,2)[/tex]
[tex]D_1(-1,3)\rightarrow D'(1,3)[/tex]
[tex]E_1(-1,5)\rightarrow E'(1,5)[/tex]
The pentagon ABCDE translated according to the rule [tex](x,y)\rightarrow (x+2,y+8)[/tex] and reflected across the y-axis to create A'B'C'D'E'.
Therefore, the correct option is c.
How to convert 186 into radians?
Answer:
see explanation
Step-by-step explanation:
To convert from degree to radian measure
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex], thus
radian measure = 186 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{31\pi }{30}[/tex]
please help me this is kinda hard
All sides of a square/cube are the same. Since this is a cube, you'll find the volume by "cubing" (get it?) 4.4m.
4.4³ or 4.4 * 4.4 * 4.4 = 85.184m³ but you can round that to 85m³
I hope that helps!
If each cube has edges 2 centimeters long, what is the volume of the blue-outlined prism?
A) 20 cm3
B) 40 cm3
C) 160 cm3
D) 320 cm3
Answer:
C) 160 cm3
Step-by-step explanation:
Since each cube represents 2 centimeters you need to multiply by 2 three times, since there are three dimensions. The volume of the figure is 160 cm3
Answer:
C (160)
Step-by-step explanation:
hope it helps brainliest pls
5÷7=35÷(y+1)
Added some points :)
Answer:
y=48
Step-by-step explanation:
5/7=35/y+1
Step 1: Cross-multiply.
5 /7=35/y+1
5*(y+1)=(35)*(7)
5y+5=245
Step 2: Subtract 5 from both sides.
5y+5−5=245−5
5y=240
Step 3: Divide both sides by 5.
5y /5=240/5
y=48
HOPE THIS HELPS!!
What is the sum of the geometric series?
Answer:
40
Step-by-step explanation:
The given geometric series is:
[tex]\sum_{n=1}^4(-2)(-3)^{n-1}[/tex].
When n=1, [tex]a_1=(-2)(-3)^{1-1}[/tex], [tex]\implies a_1=(-2)(-3)^{0}=-2[/tex]
When n=2, [tex]a_2=(-2)(-3)^{2-1}[/tex], [tex]\implies a_2=(-2)(-3)^{1}=6[/tex]
When n=3, [tex]a_3=(-2)(-3)^{3-1}[/tex], [tex]\implies a_3=(-2)(-3)^{2}=-18[/tex]
When n=4, [tex]a_4=(-2)(-3)^{4-1}[/tex], [tex]\implies a_4=(-2)(-3)^{3}=54[/tex]
The sum of the given series is:
-2+6-18+54=40
A salesman makes 4% commission on sales. What is his commission on $8,472 worth of sales?
Answer:
The answer is $12,000 I think check to be sure...Sorry in advance I'm not the best at math guys...
Step-by-step explanation:
4% of 8472 = 338.88
The salesman will have made $338.88, which is 4% of $8,472.
The diameter of a sphere is 10 cm. What is the spheres volume? Round to the nearest tenth.
4/3πr^3 is the equation to solve for volume.
Since the radius is 5 cm (10/2), we know the equation is 4/3π125
166 2/3π cm^3
or
523 1/3 cm^3
Final answer:
The volume of a sphere with a 10 cm diameter is approximately 523.6 cubic centimeters when rounded to the nearest tenth.
Explanation:
The student is asking for the volume of a sphere with a given diameter of 10 cm. To calculate the volume, you use the formula for the volume of a sphere, which is V = (4/3)πr³.
First, we need to find the radius of the sphere, which is half of the diameter, so the radius (r) is 5 cm. Plugging this into the formula gives us V = (4/3)π(5 cm)³. Now we calculate the volume: V = (4/3)π(125 cm³) ≈ 523.6 cm³ when rounded to the nearest tenth. So, the volume of the sphere is approximately 523.6 cubic centimeters.
On May 9, 2014 Jason made a deposit of $650.00. What is his balance after this transaction?
A) $540.28
B) $832.45
C) $1190.28
D) $1548.11
C is the correct answer