so, start floor = x
x + 7 - 9 - 4 + 8 - 2 = 14
x = 14
the elevator started on the 14th floor.
to verify: 14 + 7 = 21 - 9 = 12 - 4 = 8 + 8 = 16 - 2 = 14
Write the ratio:
450
to
200
as a fraction in lowest terms.
Answer:
The ratio 450 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 50 :
450 : 200 = 9 : 4
Therefore:
450 : 200 = 9 : 4
basically 9/4
Step-by-step explanation:
Sandy lives 200 m from school. One
morning she leaves for school at a
slow pace. On the way she meets a
friend and stops to talk for 10
minutes. Sandy realizes that she
forgot her homework and runs back
home to pick it up. It takes five
minutes to get home. Immediately she
heads back to school at a fast pace.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
For question 1:
Calculating the speed between A and B:
[tex]Time\ (t)= 1 \ hours\\\\Distance\ (d)= 10 \ km\\\\V=\frac{d}{t}=\frac{10}{1}= 10 \ kmph[/tex]
For question 2:
Calculating the speed between B and C:
[tex]Time\ (t)= (2-1)=1 \ hours\\\\Distance\ (d)= (15-10)= 5\ km\\\\V=\frac{d}{t}=\frac{5}{1}= 5 \ kmph\\[/tex]
For question 3:
In this the speed between A and B is the double to speed between B and C.
Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x. Evaluate the composition (ƒ ∘ g)(1) .
Answer:
D
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = 5x^2-x+1 \text{ and } g(x) = -3x[/tex]
And we want to find:
[tex](f \circ g)(1)[/tex]
Recall that this is equivalent to:
[tex]=f(g(1))[/tex]
Evaluate g(1):
[tex]g(1) = -3(1) = -3[/tex]
Substitute:
[tex]=f(-3)[/tex]
Evaluate f(-3):
[tex]f(-3)=5(-3)^2-(-3)+1=49[/tex]
Therefore:
[tex](f \circ g)(1) =49[/tex]
Our answer is D.
Answer:
49
Step-by-step explanation:
ƒ(x) = 5x2 – x + 1 and g(x) = –3x
(ƒ ∘ g)(1)
First find g(1) = -3(1) = -3
Then find f(g(1) = f(-3)
f(-3) = 5(-3)^2 - (-3) +1 = 5(9) +3+1 = 45+4 = 49
Please help me i need the answer right now. The lesson is Rational Root Theorem.
Step-by-step explanation:
1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the
x+4.(3x+1)(x)The volume is 720.Volume of Rectangular prism is LxWXH. So the volume is equal to the terms all multiplied. which is[tex](3x + 1)(x + 4)[/tex]
[tex](3 {x}^{2} + 13x + 4)x = 720[/tex]
Multiply it by x.
[tex]3 {x}^{3} + 13 {x}^{2} + 4x = 720[/tex]
[tex] 3{x}^{3} + 13 {x}^{2} + 4 x - 720[/tex]
The possible roots
The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be
[tex]x = 5[/tex]
2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.
Let check via synethic division to see which are roots.
Let try 1 and -1 first. If we plug 1 into the equation, we get
[tex]1 - 2 - 5 + 6 = 0[/tex]
So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in
[tex] {x}^{2} - x - 6[/tex]
We can then factor this into
[tex](x - 3)(x + 2)[/tex]
So our roots or factors is
[tex](x - 1)(x - 3)(x + 2)[/tex]
The following table gives a partial set of values of a polynomial function.
x –2 –1 0 1 2 3
g(x) –14 –2 0 –4 –6 2
Between which two values would a relative maximum most likely occur?
–2 and 0
–1 and 1
0 and 2
1 and 3
The values of x between which the relative maximum occurs is between the x-values; -1 and 1
The known parameters;
The table of the partial set of the polynomial values is presented as follows;
[tex]\begin{array}{rcr}\mathbf{x}&&\mathbf{g(x)}\\-2&&-14\\-1&&-2\\0&&0\\1&&-4\\2&&-6\\3&&2\end{array}[/tex]
From the table above, we have that g(x) is maximum (g(x) = 2) when x = 3
Method;
Define and find the relative maximum
The relative maximum of a function, is given by a point where the graph of the function changes direction from 'continuously' increasing values of the function before the point to 'continuously' decreasing values of the function after the point
From the table, at x = -2, -1, 0, g(x) = -14, -2, 0, and is therefore, increasing
Where, x = 0, 1, 2, we have g(x) = 0, -4, -6, therefore, g(x) is decreasing
The maximum value of g(x), in the region where g(x) changes from increasing to decreasing is g(x) = 0, which is given between the x-values of -1 and 1
Therefore, the relative maximum is most likely to occur between the values of x = -1, and x = 1, which is the option -1 and 1
Learn more about relative maximum here;
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The price of an item has been reduced by 35%. The original price was $15.
Answer:
100-35=65
15*0.65=9.75
so the price now is 9.75
Hope This Helps!!!
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
see this attachment
The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the speed of the boat in still water and the speed of the current.
Answer:
boat = 18
current = 2
Step-by-step explanation:
Let the speed of the current = y
Let the speed of the boat = x
x + y = 20
x - y = 16 Add
2x = 36 Divide by 2
x = 18
The speed of the boat = 18
x + y = 20
18 + y = 20 Subtract 18
y = 20 - 18
y = 2
{{{{Help Please please}}}}
Given the circle with equation x+ y =17
a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work
b). Find the equation of the perpendicular bisector of the chord DE
c). Verify that the perpendicular bisector from part b) passes through the center of the circle
{{{{Help Please please}}}}
Answer:
Circles have equations such as: (x -h)² + (y -k)² = radius²
You need terms raised to the power of 2
Step-by-step explanation:
If a pine tree grows 3 inches per year,how long will it take for the tree to reach a height of 8 feet
Answer:
32 years
Step-by-step explanation:
8x12 because there are 12 inches in a foot
8x12=96
96/3
96/3=32
Answer:
32 years
Step-by-step explanation:
y = years
1 foot = 12 inches
12 × 8 = 96
Now, plug in random numbers into the expression below to find how long it takes for the tree to grow 8 feet.
3y
3 × 10 = 30
3 × 20 = 60
3 × 30 = 90
3 × 31 = 93
3 × 32 = 96
It will take the pine tree 32 years to grow 8 feet, or 96 inches.
Victor had dozen boxes with n number of water bottles in each box.After removing dozen bottles, there were 84 bottles.Find the number of bottles in each box.
Answer:
There are 8 bottles in each box.
Step-by-step explanation:
Victor has 12 boxes with 'n' number of water bottles in each box.
A dozen is same as 12.
Now, 12 boxes and each with 'n' number of bottles. Total number of bottles in '12' boxes is 12n bottles.
Now, it is removing 12(a dozen) bottles from 12n bottles which gives 84.
So, 12n -12=84
Add both sides 12
12n= 96
Divide both sides by 12
n=8
So, there are 8 bottles in each box.
PLEASE HELP URGENT!! IN PICTURE
Angle ECD and Angle FDC are same-side interior angles. They lie on the same side of the transversal and are on the inside of the two parallel lines. Same-side interior angles are supplementary, meaning that they add up to 180.
(40x + 15) + (5x + 30) = 180
45x + 45 = 180
45x = 135
x = 3
Angle ECD = 40(3) + 15 = 120 + 15 = 135
Angle FDC = 5(3) + 30 = 15 + 30 = 45
Hope this helps!
Please Help ASAP!!!! 60 points.
Answer:
An inverse variation give a harder one next time
Step-by-step explanation:
Transversal Problems with Equations (Level 1)
Jol 19, 2:01:51 PM
Given m|n, find the value of x.
+
(2x+9)°
(7x+24)
Submit Answer
Answer:
attempt tout of 2
PLEASE HELP
Answer:
-3 =x
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines are parallel
2x+9 = 7x+24
Subtract 2x from each side
2x+9-2x = 7x+24-2x
9 = 5x+24
Subtract 24 from each side
9-24 = 5x
-15 = 5x
Divide by 5
-15/5 = 5x/5
-3 =x
Halla el conjunto solución del siguiente sistema de ecuaciones aplicando el método de reducción: 2x + 3y = 8 x – 5y = 6
Answer:
x = 7.535 and y = 0.307
Step-by-step explanation:
Given that,
Two equations,
2x + 3y = 8 ...(1)
x – 5y = 6....(2)
Multiply equation (2) by -2.
-2x + 10y = -12....(3)
Now, adding equations (1) and (2),
2x + 3y -2x + 10y = 8-12
13y = 4
y = 0.307
Put the value of y in equation (2).
x – 5(0.307) = 6
x = 6 + 1.535
x = 7.535
So, the solutions of the given equation are x = 7.535 and y = 0.307.
The linear equation passing through the point (2,-5) has a slope of 2 is
Answer:
y = 2x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (2, - 5) into the partial equation
- 5 = 4 + c ⇒ c = - 5 - 4 = - 9
y = 2x - 9 ← equation of line
(4x-1)²-(4x-3) x (16x²+3)
Answer:
-64x^3 +64x^2-20x+10
Step-by-step explanation:
simplify, distribute
(btw, the little arrow sign means a exponent)
Can someone help me with this math homework please!
Answer:
C
Step-by-step explanation:
y coordinates must be at the numerator, while x coordinates at the denominator
Please read below. Thank you.
Answer:
The equation of the circle is given by:
(x-a)^2+(y-b)^2=r^2
where:
(a,b) is the center of the circle
given that the center of our circle is (2,3) with the radius of 5, the equation will be:
(x+2)^2+(y+3)^2=5^2
expanding the above we get:
x^2+4x+4+y^2+6y+9=25
this can be simplified to be:
x^2+4x+y^2+6y=25-13
x^2+y^2+4x+6y=12
Answer:
[tex]\sf\longrightarrow \boxed{\sf x^2+y^2-4x-6y-12=0}[/tex]
Step-by-step explanation:
Here we are given the radius of circle as 5cm and the centre of the circle is (2,3) . We need to find the equation of the circle. Here we can yse the Standard equation of circle to find the equation .
Standard equation of circle :-
[tex]\sf\implies \green{ (x - h )^2+(y-k)^2 = r^2 }[/tex]
where (h,k) is the centre and r is radius .Substitute the respective values ,
[tex]\sf\longrightarrow ( x - 2 )^2 + ( y - 3)^2 = 5^2 [/tex]
Simplify the whole square ,
[tex]\sf\longrightarrow x^2 + 4 -4x + y^2+9-6y = 25[/tex]
Rearrange and add the constants ,
[tex]\sf\longrightarrow x^2 + y^2 -4x -6y +13 = 25 [/tex]
Subtract 25 on both sides ,
[tex]\sf\longrightarrow x^2 +y^2-4x-6y+13-25=0[/tex]
Simplify ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x^2+y^2-4x-6y-12=0}}[/tex]
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is
.
The center of the circle is at the point
, and its radius is
units.
The general form of the equation of a circle that has the same radius as the above circle is
.
Answer:
Step-by-step explanation:
x² + y² + 42x + 38y - 47 = 0
Put the equation into standard (center-radius) form:
regroup terms
(x²+42x) + (y²+38y) = 47
complete the squares:
(x²+42x+21²) + (y²+38y+19²) = 47 + 21² + 19²
(x+21)² + (y+19)² = 849
center at (-21,-19)
radius = √849 units
The general form of the equation for a circle with radius √849 units is:
(x-h)² + (y-k)² = 849
where the (h,k) is the center.
In the supermarket 80% of the goods are food,20% of what is left are household chemicals and the rest of all the goods in the supermarket are household goods?
Which statement about the function
true?
The graph of the function f(x) = 4(x + 3)(x - 1) is shown
below.
O The function is positive for all real values of x where
x < -1.
y
6
NA
The function is negative for all real values of x where
x <-3 and where x > 1.
O The function is positive for all real values of x where
x > 0.
O The function is negative for all real values of x where
X<-3 or x>-1.
2
-6
4
2.
4
6
х
-2
-2
4
6
The function is negative for all real values of x where x < -3 or x > -1 and the domain of the function is -∝ < x < ∝
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = - ( x + 3 ) ( x - 1 ) be equation (1)
Now , the values of x which makes the function negative are
when x < -3
f ( x ) = - ( -ve ) ( -ve ) = -ve
when x > 1
f ( x ) = - ( +ve ) ( +ve ) = -ve
So , the domain of the function is all real numbers and -∝ < x < ∝
Hence , the function is solved
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The perimeter of a rectangle is 108cm. The ration of its length to its width is 7:2 what is the area of the rectangle in cm2?
Answer:
504 cm²
Step-by-step explanation:
Let the length and the width of the rectangle be L cm and W cm respectively.
Perimeter= 2(L +W)
2(L +W)= 108
L +W= 108 ÷2
L +W= 54
L= 54 -W -----(1)
[tex] \frac{L}{W} = \frac{7}{2} [/tex]
Cross multiply:
2L= 7W -----(2)
Substitute (1) into (2):
2(54 -W)= 7W
Expand:
108 -2W= 7W
+2W on both sides:
9W= 108
Divide both sides by 9:
W= 108 ÷9
W= 12
Substitute W= 12 into (1):
L= 54 -12
L= 42
Area of rectangle
= length ×width
= LW
= 42(12)
= 504 cm²
(edge) The linear function that is represented by which table has the same slope as the graph?
On a coordinate plane, a line goes through points (0, negative 3) and (2, 1).
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.
A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.
Answer: is 3
Step-by-step explanation:
Very easy man !!!
Please help ASAP!!!!! What is m
Answer:
2875
Step-by-step explanation:
Find the place value of 4 in 5846.
Answer:
Hundreds
Step-by-step explanation:
It is the third number in this bigger one, going from the left you can see it's in the hundreds place.
HELPPPPP MEEEEE!!!!
Answer:
46°
Step-by-step explanation:
arcsin(5/7)
greatest common factor of 26m^4n^2, m^2n
Step-by-step explanation:
Hey there!
Given;
[tex]1st \: expn = 26 {m}^{4} {n}^{2} [/tex]
= 2*13 m⁴ n²
2nd expn = m² n
Therefore, greatest common factor is; m²n.
Hope it helps!
A wholesaler sold an electric item to a retailer at 20 % profit. The retailer sold it at Rs.2052 to a customer at 5% loss.
i) How much did the retailer pay for it?
ii) How much did the wholesaler pay for it?
pls on full process
will mark as a brainlist
Answer:
i) 2160
ii) 1800
Step-by-step explanation:
so, the retailer sold the item for 2052, if I understand the problem description correctly.
and with this sale price, he actually made a loss of 5%.
so, 2052 are actually only 95% of what he himself paid the wholesaler for it.
2052 = 95%
1% = 2052/95 = 21.60
100% (the whole price the retailer paid to the wholesaler) = 21.60 × 100 = 2160
so, now, these 2160 have the wholesaler a profit from his perspective of 20%.
that means this price includes the 20% profit margin.
2160 = 120%
1% = 2160 / 120 = 18
100% (the price the wholesaler originally paid) = 18 × 100 = 1800
If ABC=DEF and MNO=PQR, then ABC=PQR by the transitive property.
○A. True
○B. False
Answer:
B. False
Step-by-step explanation:
There is not enough information to make that conclusion. The two statements are completely unrelated, so the transitive property cannot be used. None of the given statements say that ABC is congruent to MNO or PQR. That means that nothing can be assumed about DEF. To use the transitive property you would need proof that ABC=MNO or ABC=PQR. But neither of those statements are there so the answer is false.
Answer:
true
Step-by-step explanation:
a pe c
Find the value of 3cubed - (4)(2)
Answer:
[tex]1[/tex]
Step-by-step explanation:
Step 1: Find the value
[tex]3^{3} - (4)(2)[/tex]
[tex]9 - (4)(2)[/tex]
[tex]9 - 8[/tex]
[tex]1[/tex]
Answer: [tex]1[/tex]
the correct answer is BBBBBBBBB
