Answer:
Step-by-step explanation:
This thing looks like you have to use the quadratic equation to solve it. You don't. It will factor. but you might have to guess a bit.
(3x )(2x )
(3x - 5 ) (2x + 7) How lucky is that!!?
Remove the Brackets
3x * 2x + 3x*7 - 5*2x - 35 Combine
2x*3x^2 + 21x - 10x - 35
6x^2 + 11x - 35
So the guess turns out to be correct. Now we need to solve for the roots.
3x - 5 = 0 Add 5 to both sides.
3x = 5 Divide by 3
x = 5/3
x = 1.6667
2x + 7 = 0 Subtract 7 from both sides
2x = - 7 Divide by 2
2x/2 = - 7/2
x = - 3.5
Answer
x = 1.667 orx = - 3.5
A circle has a diameter of 16 inches what is the area of the circle in terms of π(pi)
Answer:
64π Inches squared
Step-by-step explanation:
A=πr^2
Half of 16 is 8
r=8
A=π8^2
A=64π
Can someone help me please
Mr Green: [tex]4(3a+1+2b) = 12a + 4 + 8b[/tex]
Mrs Green: [tex]6(5a-a)+4(2+4b)=6*4a + 8 + 16b = 24a +16b + 8[/tex]
Keith: [tex]4(2+4b+6a) = 8 + 16b + 24a=24a+16b + 8[/tex]
Kevin: [tex]4(6a+2)+8b + 2 = 24a + 8 + 8b + 2 = 24a + 8b + 10[/tex]
Thus Mrs Green and Keith has the expression that is equivalent to
'24a + 16b + 8'
Hope that helps!
Need help on these problems
0>-2+b/7
v/14-2<_-3
13<_n/4+9
138>_-6+9n
-9+x/2>-14
-6>-9+k/4
-11>a/2-2
Solution (1):
[tex]0 > -2 + \dfrac{b}{7}[/tex]
[tex]0 + 2 > \dfrac{b}{7}[/tex]
[tex]2 > \dfrac{b}{7}[/tex]
[tex]2 \times 7 > b[/tex]
[tex]\boxed{\bold{14 > b}}[/tex]
Solution (2):
[tex]\dfrac{v}{14} - 2 < -3[/tex]
[tex]\dfrac{v}{14} < -3 + 2[/tex]
[tex]\dfrac{v}{14} < -1[/tex]
[tex]v < -1 \times 14[/tex]
[tex]\boxed{\bold{v < -14}}[/tex]
Solution (3):
[tex]13 < \dfrac{n}{4}+ 9[/tex]
[tex]13 - 9 < \dfrac{n}{4}[/tex]
[tex]4 < \dfrac{n}{4}[/tex]
[tex]4 \times 4 < n[/tex]
[tex]\boxed{\bold{16 < n}}[/tex]
Solution (4):
[tex]138 > -6+9n[/tex]
[tex]138 + 6 > 9n[/tex]
[tex]144 > 9n[/tex]
[tex]\dfrac{144 }{9} > \dfrac{9n}{9}[/tex]
[tex]\boxed{\bold{16 > n}}[/tex]
Solution (5):
[tex]-9 + \dfrac{x}{2} > -14[/tex]
[tex]\dfrac{x}{2} > -14 + 9[/tex]
[tex]\dfrac{x}{2} > -5[/tex]
[tex]x > -5 \times 2[/tex]
[tex]\boxed{\bold{x > -10}}[/tex]
Solution (6):
[tex]-6 > -9 + \dfrac{k}{4}[/tex]
[tex]-6 + 9 > \dfrac{k}{4}[/tex]
[tex]3 > \dfrac{k}{4}[/tex]
[tex]3 \times 4 > k[/tex]
[tex]\boxed{\bold{12 > k}}[/tex]
Solution (7):
[tex]-11 > \dfrac{a}{2} -2[/tex]
[tex]-11 + 2 > \dfrac{a}{2}[/tex]
[tex]9 > \dfrac{a}{2}[/tex]
[tex]-9 \times 2 > a[/tex]
[tex]\boxed{\bold{-18 > a}}[/tex]
please help me with this equation :(
Answer:
a = 9 + b - c → D
Step-by-step explanation:
To cancel the square root of one side of an equation square the two sides
Examples:
If [tex]\sqrt{x}[/tex] = 5, to find x square the two sides to cancel the square root
([tex]\sqrt{x}[/tex] )² = (5)², then x = 25
If [tex]\sqrt{a+b}[/tex] = 7, to find a + b square the two sides to cancel the square root
([tex]\sqrt{a+b}[/tex] )² = (7)², then a + b = 49
Now let us solve the question
To solve it for a square the two sides then keep a on the left side and move b, c to the other side
∵ [tex]\sqrt{a-b+c}[/tex] = 3
→ Square the two sides to cancel the square root
∴ ([tex]\sqrt{a-b+c}[/tex])² = (3)²
∴ a - b + c = 9
→ Add b to both sides to move b from the left side to the right side
∴ a - b + b + c = 9 + b
∴ a + c = 9 + b
→ Subtract c from both sides to move c from the left side to the right side
∴ a + c - c = 9 + b - c
∴ a = 9 + b - c
Show work of Y=-5/2x-5
Find the slope
Answer:
-5/2
Step-by-step explanation:
Slope intercept form = y=mx+b
M=Slope
B=y-intercept
Answer:
-5/2 is the slope
Step-by-step explanation:
the form that it is currently in is slope intercept form
( y= mx+b ) m is the is the slope and x is a variable. -5 is the y intercept.
A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side? NO LINKS
Answer:
26.17
Step-by-step explanation:
a^2+b^2=c^2
Can someone help me on this question? I’ve been struggling on this for a while now. I’ll give brainliest if you answer soon!!!
A. What convinces you that the February 29 image is a reflection of the February 28 image about the given line of reflection?
B. What convinces you that the March 1 image is a reflection of the February 29 image about the given line of reflection?
C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Answer:
A. Line of reflection is a perpendicular bisector
B. 90 degree angles, equal lines
C. Pre-image an image are on the same circle.
Step-by-step explanation:
I hope this helped you in any way possible. :)
One meaning of the word rigid is "not bendable", and another is "unable to be changed". How do those meanings correspond to the
definition of rigid motion?
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
Tom is 8 years younger than John. Let j represent John's age in years. Write an algebraic expression to represent Tom's age in years.
Answer:
(j-8)years is the answer to the question
Un contador determina que el ingreso mensual " I ", en pesos chilenos, que obtiene un relojero con experiencia, por la reparación de un número "x" de relojes, está dado por la función ingreso: I ( x ) = 20.000x - 50x2 ¿Cuál es el ingreso en pesos chilenos de fabricar 15 relojes ? * 1 punto $345.780 $288750 $475.580 Otro:
Responder:
$ 288750
Explicación paso a paso:
Dados los ingresos mensuales de los pesos chinos expresados como;
I (x) = 20.000x - 50x² donde;
x es el número de relojes reparados.
Para calcular los ingresos obtenidos si se reparan 15 relojes, simplemente sustituiremos x = 15 en la ecuación modelada como se muestra;
Yo (15) = 20.000 (15) - 50 (15) ²
Yo (15) = 300 000-50 (225)
Yo (15) = 300.000-11250
I (15) = $ 288,750
Simplify the expression (2d + 3) + (3d − 12).
Answer:
(2d +3d) + 3-12 equals to 5d - 9
Step-by-step explanation:
you try collecting like terms
Answer:
[tex]5d-9[/tex]
Step-by-step explanation:
Given the following question:
[tex](2d + 3) + (3d-12)[/tex]
To find the answer remove the parentheses, group like terms, and solve by using inverse of operations.
[tex](2d + 3) + (3d-12)[/tex]
[tex]2d+3+3d-12[/tex]
[tex]2d+3d+3-12[/tex]
[tex]3-12=-9[/tex]
[tex]2d+3d+-9[/tex]
[tex]2d+3d=5d[/tex]
[tex]5d-9[/tex]
Your answer is "5d - 9."
Hope this helps.
Angle r and angel s are complementary angles if r=12x-3 and s= 7x-2, find m
Answer:
s=33
r=57
Step-by-step explanation:
12x-3+7x-2+90
19x-5=90
19x=95
x=5
12(5)-3=57
7(5)-2=33
3
Answer!
Joan bought a personal stereo for $59.95. The sales tax rate was 6%.
What was her after-tax total?
a. $63.60
b. $64.55
c. $69.95
d. $63.55
Answer:
[D] $63.55
Step-by-step explanation:
GIven;
Joan bought a personal stereo for $59.95.The sales tax rate was 6%.To FInd:
What was her after-tax total?
Note:
After-tax total = Include tax
Solve;
$59.95 × 6%=3.597
Round ⇒ 3.60
$59.95 + 3.60 = 63.55
Hence, Joan after-tax total is [D} $63.55
~Learn with Lenvy~
What is the greatest common divisor of 22021 + 22022, 32021+ 32022 ?
Answer:
2 may be the greatest one.
Answer:
12
Step-by-step explanation:
12
Given that
y
= 10 cm and
θ
= 55°, work out
x
rounded to 1 DP.
Answer:
x=8.2
Step-by-step explanation:
First, figure out which trig function you are going to use.
In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.
sin (55) =opposite/hypotenuse
sin (55) =x/10
multiply both sides by 10 to get 10 * sin (55) = x
10 * sin (55) = 8.2
write the equation for the function that has the shape of f(x)=x^3 but is moved three units to the left, seven units upward, and then reflected in the x-axis?
Answer:
The first transformation occurs when we add a constant d to the parent function \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
, giving us a vertical shift d units in the same direction as the sign. For example, if we begin by graphing a parent function, \displaystyle f\left(x\right)={2}^{x}f(x)=2
x
, we can then graph two vertical shifts alongside it, using \displaystyle d=3d=3: the upward shift, \displaystyle g\left(x\right)={2}^{x}+3g(x)=2
x
+3 and the downward shift, \displaystyle h\left(x\right)={2}^{x}-3h(x)=2
x
−3. Both vertical shifts are shown in Figure 5.
Graph of three functions, g(x) = 2^x+3 in blue with an asymptote at y=3, f(x) = 2^x in orange with an asymptote at y=0, and h(x)=2^x-3 with an asymptote at y=-3. Note that each functions’ transformations are described in the text.
Figure 5
Observe the results of shifting \displaystyle f\left(x\right)={2}^{x}f(x)=2
x
vertically:
The domain, \displaystyle \left(-\infty ,\infty \right)(−∞,∞) remains unchanged.
When the function is shifted up 3 units to \displaystyle g\left(x\right)={2}^{x}+3g(x)=2
x
+3:
The y-intercept shifts up 3 units to \displaystyle \left(0,4\right)(0,4).
The asymptote shifts up 3 units to \displaystyle y=3y=3.
The range becomes \displaystyle \left(3,\infty \right)(3,∞).
When the function is shifted down 3 units to \displaystyle h\left(x\right)={2}^{x}-3h(x)=2
x
−3:
The y-intercept shifts down 3 units to \displaystyle \left(0,-2\right)(0,−2).
The asymptote also shifts down 3 units to \displaystyle y=-3y=−3.
The range becomes \displaystyle \left(-3,\infty \right)(−3,∞).
Graphing a Horizontal Shift
The next transformation occurs when we add a constant c to the input of the parent function \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
, giving us a horizontal shift c units in the opposite direction of the sign. For example, if we begin by graphing the parent function \displaystyle f\left(x\right)={2}^{x}f(x)=2
x
, we can then graph two horizontal shifts alongside it, using \displaystyle c=3c=3: the shift left, \displaystyle g\left(x\right)={2}^{x+3}g(x)=2
x+3
, and the shift right, \displaystyle h\left(x\right)={2}^{x - 3}h(x)=2
x−3
. Both horizontal shifts are shown in Figure 6.
Graph of three functions, g(x) = 2^(x+3) in blue, f(x) = 2^x in orange, and h(x)=2^(x-3). Each functions’ asymptotes are at y=0Note that each functions’ transformations are described in the text.
Figure 6
Observe the results of shifting \displaystyle f\left(x\right)={2}^{x}f(x)=2
x
horizontally:
The domain, \displaystyle \left(-\infty ,\infty \right)(−∞,∞), remains unchanged.
The asymptote, \displaystyle y=0y=0, remains unchanged.
The y-intercept shifts such that:
When the function is shifted left 3 units to \displaystyle g\left(x\right)={2}^{x+3}g(x)=2
x+3
, the y-intercept becomes \displaystyle \left(0,8\right)(0,8). This is because \displaystyle {2}^{x+3}=\left(8\right){2}^{x}2
x+3
=(8)2
x
, so the initial value of the function is 8.
When the function is shifted right 3 units to \displaystyle h\left(x\right)={2}^{x - 3}h(x)=2
x−3
, the y-intercept becomes \displaystyle \left(0,\frac{1}{8}\right)(0,
8
1
). Again, see that \displaystyle {2}^{x - 3}=\left(\frac{1}{8}\right){2}^{x}2
x−3
=(
8
1
)2
x
, so the initial value of the function is \displaystyle \frac{1}{8}
8
1
.
A GENERAL NOTE: SHIFTS OF THE PARENT FUNCTION \DISPLAYSTYLE F\LEFT(X\RIGHT)={B}^{X}F(X)=B
X
For any constants c and d, the function \displaystyle f\left(x\right)={b}^{x+c}+df(x)=b
x+c
+d shifts the parent function \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
vertically d units, in the same direction of the sign of d.
horizontally c units, in the opposite direction of the sign of c.
The y-intercept becomes \displaystyle \left(0,{b}^{c}+d\right)(0,b
c
+d).
The horizontal asymptote becomes y = d.
The range becomes \displaystyle \left(d,\infty \right)(d,∞).
The domain, \displaystyle \left(-\infty ,\infty \right)(−∞,∞), remains unchanged.
HOW TO: GIVEN AN EXPONENTIAL FUNCTION WITH THE FORM \DISPLAYSTYLE F\LEFT(X\RIGHT)={B}^{X+C}+DF(X)=B
X+C
+D, GRAPH THE TRANSLATION.
Draw the horizontal asymptote y = d.
Identify the shift as \displaystyle \left(-c,d\right)(−c,d). Shift the graph of \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
left c units if c is positive, and right \displaystyle cc units if c is negative.
Shift the graph of \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
up d units if d is positive, and down d units if d is negative.
State the domain, \displaystyle \left(-\infty ,\infty \right)(−∞,∞), the range, \displaystyle \left(d,\infty \right)(d,∞), and the horizontal asymptote \displaystyle y=dy=d.
Step-by-step explanation:
Mrs. Lia deposited $4000 at Big Bank. If her money earned 4% simple interest annually. How much interest did she received at the end of 24 months?
Answer:
320$
Step-by-step explanation:
Since it's 4%
4000 * 0.04 = 160
24 months = 2 years
annually = 1 year
160 * 2 = 320$
Hope this helps!
Answer:
4000*0.04 = 160
24/12=2
160*2 = 320 interste receveid after 24 mounths
4000+320=4320
Step-by-step explanation:
the number which is 3 less than the product of x and y
Answer:
xy - 3
Step-by-step explanation:
Product of x and y = xy
Required number = xy - 3
Answer:cycle-3
Step-by-step explanation:
Find an explicit rule for the nth term of the sequence.
-3, -15, -75, -375, ...
Answer:
a(n) = -3*5^(n-1)Step-by-step explanation:
Given sequence
-3, -15, -75, -375, ...This is a GP with
The first term = -3Common ratio = 5Formula for nth term is:
a(n) = -3*5^(n-1)1. Jaymes is closing the register at the end of the day. He is in charge of counting all the
change. There are 129 coins counting only quarters and dimes. If Jason counts $27.00
in these coins, how many quarters(x) and dimes(y) are there?
Solve the system of equations to find the answer. x + y = 129.25x + .10y = $27.00
a. X = 100, y = 29
b. x = 70. y = 95
C. X = 94, y = 35
d. x = 150, y = 15 2.
2
The annual salaries of the employees working at the Island Resort are listed What is
Hey there!
Option answer: C
----------------------------------------------------------------
Find the volume of a cube with area of 1532m2
Answer:
4080.01
Step-by-step explanation:
V = 6 A2/3/36 square rooted = 6 × 1532 2/3/36 square rooted = 4080.01042
13 divided by 7 is what in fraction form
Answer:
common fraction is written in the form of two whole numbers, one above the ... For example 3/7 would be 3 divided by 7 = 0.428 571 .
Please can somebody solve this this is due today
The diameter of a cylinder is 7 yd. The height is 4 yd Find the volume of the cylinder.
Cylinder volume = base area x height
= pi x r² x h
d = 7 yd => r = 7:2 = 3,5 yd
and h = 4 yd
to be calculed
V = 3,14 x 3,5² x 4
please help (a is 12)
Answer:
well if a is 12 it means that would become 144/12. simplified to a whole number is 12. so 12-2.4 would = 9.6
Step-by-step explanation:
Answer:
9.6
[tex]12^{2}[/tex]/12 cancels out
12-2.4=9.6
:)Hope you enjoy:)HELP ASP!!!!!!
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n +3.75; 20
20 is the
th term.
Answer:
the 13th term, if you plug in 13 for n and solve you would get 20 :)
Answer:
13th term
Step-by-step explanation:
the sum of two consecutive odd numbers is 80 find the numbers
Answer: The two numbers are 39 and 41
==================================================
Work Shown:
x = some odd number
x+2 = next odd number
eg: x = 3 and x+2 = 3+2 = 5
Add up those two expressions, set the sum equal to 80, and solve for x
(x) + (x+2) = 80
2x+2 = 80
2(x+1) = 80
x+1 = 80/2
x+1 = 40
x = 40-1
x = 39
----------
Another way to solve is to do this
2x+2 = 80
2x = 80-2
2x = 78
x = 78/2
x = 39
-----------
Either way, the solution is x = 39 which means the next odd number up is x+2 = 39+2 = 41
To check the answer, add up the two values
39+41 = 80
This confirms we have the right answer.
Help I do not get this!!!
25 POINTS AND BRAINLIEST
17. A group of college students is volunteering for Help the Homeless during their spring break. They are putting the finishing touches on a house they built. Working alone, Irina can paint a certain room in 9 hours. Paulo can paint the same room in 8 hours. Write an equation that can be used to find how long it will take them working together to paint the room. How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth.
Answer:
4.24 hours
Step-by-step explanation:
Irina can paint 1/9 of a room in 1 hour since she can paint a room in 9 hours. 1/9x, where x is the number of hours she works and 1/9 of a room per hour is her speed, would be her part of the calculation.
Paulo can paint 1/8 of a room in 1 hour since he can paint an entire room in 8 hours. 1/8x, where x is the number of hours he works and 1/8 of a room per hour is his speed, would be his part of the equation.
1/9x + 1/8x = 1 (Irina's portion of the room plus Paulo's portion of the room equals one complete room) would be the equation.
Look for a denominator that has the same value as the numerator. Both 9 and 8 split evenly into 72 as the initial number. We multiply the top of 1/9 by 8 to convert the fraction and get 8/72x because 9*8 = 72. We multiply the top of 1/8 by 9 to convert the fraction and get 9/72x because 8*9 = 72. We have 8/72x+9/72x=1 currently.
17/72x=1
÷ both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
∴ x=1/1 * 72/17
∴ x=72/17= 4.24
Some friends of yours collected books for a book drive. They collected 64 Fiction, and 48 Non-Fiction books. They asked you to make bundles of books so that all the books get sent to families who want them and all of the bundles have the same content inside. How many bundles of books can your team send? How many fiction books will you need to put in each bundle? How many non-fiction books will you need to put in each bundle?
As all of the bundles have the same content inside, so assuming that there is x number of Fiction books and y number of Non-fiction books in each bundle.
Let n be the total number of bundles that my team can send.
There are 64 Fiction books, so
nx=64 ...(i)
Or x=64/n ...(ii)
also, there are 48 Non-Fiction books, so
ny=48 ...(iii)
Or y=48/n ...(iv)
Observing that the numbers x, y, and n are counting numbers and from equations (i) and (iii), n is the common factor of 64 and 48.
The possible common factors of 64 and 48 are,
n=1,2,4,8, and 16.
So, my team can send 1,2,3,4,8 or 16 bundles of books.
Now, from equations (ii) and (iv),
For n=1:
x=64/1=64
y=48/1=48
So, for 1 bundle the number of Fiction and Non-fictions books are 64 and 48 respectively.
For n=2:
x=64/2=32
y=48/2=48
So, for 2 bundles, the number of Fiction and Non-fictions books are 32 and 24 respectively.
For n=4:
x=64/4=16
y=48/4=12
So, for 4 bundles, the number of Fiction and Non-fictions books are 16 and 12 respectively.
For n=8:
x=64/8=8
y=48/8=6
So, for 8 bundles, the number of Fiction and Non-fictions books are 8 and 6 respectively.
For n=16:
x=64/16=4
y=48/16=3
So, for 16 bundles, the number of Fiction and Non-fictions books are 4 and 3 respectively.
Which fraction is equal to 0.25.?
Answer: 1/4
Step-by-step explanation:
Hope this helps
The 0.25 is equivalent to 1/4, where the numerator is 1 and the denominator is 4.
The fraction that is equal to 0.25 is 1/4. To understand this, examine the decimal representation of 0.25. The decimal point separates the whole number part from the fractional part. In 0.25, the digit 2 is in the tenths place, and the digit 5 is in the hundredths place. As a fraction, the number 2 in the tenths place can be written as 2/10, and the number 5 in the hundredths place written as 5/100. Simplifying these fractions, find that 2/10 reduces to 1/5 and 5/100 reduces to 1/20.
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