Answers
[tex]\\ \sf\longmapsto 2(4x-1)+3(3-2x)=0[/tex]
[tex]\\ \sf\longmapsto 8x-2+9-6x=0[/tex]
[tex]\\ \sf\longmapsto 8x-6x-2+9=0[/tex]
[tex]\\ \sf\longmapsto 2x+7=0[/tex]
[tex]\\ \sf\longmapsto 2x=-7[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-7}{2}[/tex]
Related Questions
Evaluate the function.
f(x) = -4x2 + 5x
Find f(6)
Answers
Answer:
f(6) = -114
Step-by-step explanation:
f(x) = -4x² + 5x
f(6) = -4(6)² + 5(6)
f(6) = -4(36) + 30
f(6) = -114 + 30
f(6) = -114
Answer:
-114
Step-by-step explanation:
to evaluate the function f(x) to find f(6) means to substitute x by 6
f(x) = -4x² +5x
f(6) = -4*6² +5*6
f(6) = -144 + 30
f(6) = -114
Please help with this problem.
Answers
Answer:
( 10 m n^3) ^2
Step-by-step explanation:
100 m^2 n^6
Break into pieces
What number times itself gives 100
10*10 = 100
m*m = m^2
n*n*n*n*n*n = n^6 Breaking into two parts
n^3 * n^3 = n^6
( 10 m n^3) ^2
Answer:
[tex](10mn^3)^2[/tex]
Step-by-step explanation:
The square root of 100 is 10.
Divide the exponents of [tex]m^2 n^6[/tex] by 2.
You get: [tex]mn^3[/tex]
Put them together and add on the ^2
You get [tex](10mn^3)^2[/tex]
I hope this helps!
For each hour he babysits, Anderson earns $1 more than half of Carey's hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey's hourly rate, c? 18 + ?T = 24 What number should be the coefficient of t?
Answers
Answer:
The total earnings of Carey in t tours is 12 t - 2 .
Step-by-step explanation:
For each hour he babysits, Anderson earns $1 more than half of Carey's hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey's hourly rate, c? 18 + ?T = 24 What number should be the coefficient of t?
Anderson earns $1 more than half of Carey's hourly rate.
Anderson hourly rate = $ 6
Let Carey's hourly rate is p. Let the time is t hours.
So, Anderson rate is
[tex]6 t = \frac{p t}{2} +1\\\\2\times 6 t = p t + 2 \\\\p t = 12 t - 2[/tex]
3c + 2 = -22
whats c?
Answers
3c+ 2= -22
⇔3c = -22 -2
⇔3c = -24
⇔c= -24/3
⇔c=- 8
Answer:
3c= -22-2
3c= -24
c= -24/3
c= -8
Step-by-step explanation:
Calculate the maximum absolute uncertainty for R if:
R = B - A
A = 32 +/- 2 seconds
B = 11 +/- 3 seconds
43 seconds
1 second
21 seconds
5 seconds
6 seconds
Answers
Answer:
21 seconds
Step-by-step explanation:
43 seconds
1 second
21 seconds
5 seconds
what is the probability of flipping a coin 7 times and getting heads 6 times
Answers
Answer:
7/128 or 5.46875%
Step-by-step explanation:
There are 2^7, or 128 combinations and only 7 of them have 6 heads. So the probability is 7/128, or 5.46875%.
Answer:
5.5%
Step-by-step explanation:
Find nCx=7C6=7
Then find (nCx)(P^x)(Q^n-x)=(7)(0.5^6)(0.5^1)=0.0546=5.5%
which of these is NOT continuous data:
A. number of days it rains in a year
B. height of the grass in a nature preserve each year
C. amount of rainfall in a year
D. level of water in a rain barrel
Answers
Answer:
A. number of days it rains in a year
Step-by-step explanation:
A. number of days it rains in a year - discrete
B. height of the grass in a nature preserve each year-continuous
C. amount of rainfall in a year-continuous
D. level of water in a rain barrel-continuous
The number of days can only be an integer and therefore is discrete data
Miss pat bake cupcakes for the school's Tuck Shop .each baking tray can hold one doesen cupcake .she wants to bake 48 cupcakes .how many trays of cupcakes she will need to bake?
A .1
B. 2
C.3
Answers
Given that,
→ She wants to bake 48 cupcakes.
We have to find,
The number of trays of cupcakes she will need to bake.
The formula we use,
→ No. of cupcakes ÷ One dozen
Then we can divide,
→ 48 ÷ 12
→ 4 trays
Thus, none of the option is correct.
please help!!!!!! 50 points!!
Answers
Area of first rectangle= 5×2=10units
Area of second rectangle= 3×2= 6 units
Area of third rectangle = 5×2= 10 units
Now,
Total area of figure = 10+6+10= 26units✓
Answer:
26
Step-by-step explanation:
we want to figure out the area of the composite figure notice that the composite figure contains three rectangles therefore in order to find the area of the composite figure we need find the area of the rectangles first
finding the area of the first & last rectangles:
the first and last rectangles are congruent therefore they will have the same area thus
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = l \times w[/tex]
from the figure we obtain:
[tex]l = 5[/tex][tex]w = 2[/tex]thus substitute:
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 5\times 2[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 10[/tex]
finding the area of the middle rectangle:
the middle rectangle has a length and width of 3 and 2 respectively Thus
[tex] \displaystyle A _{ \rm 2)rect} =3 \times 2[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \rm 2)rect} =6[/tex]
finding the area of the composite figure:
[tex] \rm \displaystyle A _{ \rm composite} = A _{ \rm 1)rect} + A _{ \rm 2)rect} + A _{ \rm 3)rect} [/tex]
substitute what we got:
[tex] \rm \displaystyle A _{ \rm composite} = 10 + 6 + 10[/tex]
simplify addition:
[tex] \rm \displaystyle A _{ \rm composite} = \boxed{ 26}[/tex]
hence,
the answer is 26 square units
A polynomial p has zeros when x = 5, x = -1, and x = -1/4
What could be the equation of p?
A. p(x) = (x +5)(x + 1)(4x + 1)
B. p(x) = (x - 5)( x + 1)(4x + 1)
C. p(x) = (x + 5)(x - 1)(4x - 1)
D. p(x) = (5x)(-1x)( - 1/4x)
Answers
Answer:
[tex]x=5[/tex] ⇒ [tex](x-5)=0[/tex]
[tex]x=-1[/tex] ⇒[tex](x+1)=0[/tex]
[tex]x=-1/4[/tex] ⇒ [tex](x+1/4)=0[/tex] ⇒ [tex](4x+1)=0[/tex]
[tex]p(x)=(x-5)(x+1)(4x+1)=0[/tex]
[tex]Option(B)[/tex]
-------------------------
Hope it helps...
Have a great day!!
Answer:
p(x) = (x-5) (x+1)(4x+1)
Step-by-step explanation:
We know the equation for a polynomial with zeros is written as
f(x) = a( x-b1) (x-b2)...... where b are the zeros
We have zeros x = 5, x = -1, and x = -1/4
p(x) = a( x-5) (x- -1) (x - -1/4)
p(x) = a (x-5) (x+1) (x+1/4)
Let a = 4
p(x) = 4 (x-5) (x+1) (x+1/4)
p(x) = (x-5) (x+1)(4x+1)
Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How much water does Janine drink in a day? She normally drinks 6 bottles a day, each 16.9 ounces.
How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $2.79.
How much does a reusable water bottle cost? About $10.
How long does a reusable water bottle last? Basically forever (or until you lose it).
How much does a water filter cost? How much water will they filter?
A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters)
A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months
An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons.
Which option is cheapest over one year (365 days)?
The cheapest option saves her over a year.
Answers
9514 1404 393
Answer:
faucet filter is cheapest$205.78 savings first year; $232.78 savings in subsequent yearsStep-by-step explanation:
The variable cost per gallon (128 floz) is ...
water bottles: $2.79/((24×16.9 floz)/(128 floz/gal)) = $0.88 /gal
faucet filter cartridge: $33/(3×100 gal) = $0.11 /gal
filter pitcher: $20/(4×40 gal) = $0.125 /gal
under-sink filter: $60/(500 gal) = $0.12 /gal
a) The cheapest option over the year is the faucet filter.
__
b) The cost of setting up the faucet filter includes the cost of a reusable bottle ($10) and the cost of the faucet mount (less the value of the accompanying cartridge), $28 -11 = $17. The total in addition to the recurring cost is then ...
setup cost = $10 + 17 = $27
and the first-year cost will be ...
$27 + $0.11 g . . . . . where g is the number of gallons used.
The amount of water used in a year (365 days) is ...
(365 days/year)×(6×16.9 oz/day)×(1 gal/(128 oz)) = 289.148 gal/year
Then the cost per year for water bottles is ...
(289.148 gal/year)·($0.8804733 /gal) = $254.59 /year
The cost for the first year for the faucet filter is ...
$27 + ($0.11/gal)(289.148 gal) = $58.81
Janine's first-year savings using a faucet filter will be about ...
$254.59 -58.81 = $205.78
Her savings over subsequent years will be $27 per year more than this.
I need help you guys!!!
Answers
Answer:
x_>-4
Step-by-step explanation:
What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100 y = x + 2
Answers
Answer:
x = - 8, x = 6
Step-by-step explanation:
Given the 2 equations
x² + y² = 100 → (1)
y = x + 2 → (2)
Substitute y = x + 2 into (1)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
2. En una división el dividendo es 445, el divisor es 32, el cociente es 14 y el resto es 7. ¿Está bien hecha? Compruébalo de dos maneras diferentes
Answers
Respuesta:
El cálculo no está bien hecho.
el cociente es 13
El resto es 29
Explicación paso a paso:
Dividendo = 445
Divisor = 32
Cociente = 14
Resto = 7
445/32 = 13,90625
El cociente = 13
Resto = (13.90625 - 13) * 32
Resto = 0.90625 * 32
Resto = 29
Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29
Si consideramos que el planeta Tierra tiene forma esférica y un radio de 6 371 km, ¿cuál es el área total del planeta Tierra?
Answers
Respuesta:
5.101 × 10⁸ km²
Explicación:
Primer paso: Información provista
Radio del planeta Tierra (r): 6371 km
Paso 2: Calcular el área del planeta Tierra
Si suponemos que el planeta Tierra tiene forma esférica, podemos calcular su área (A) usando la siguiente fórmula.
A = 4 × π × r²
A = 4 × π × (6371 km)² = 5.101 × 10⁸ km²
if x=3√8, find the value of 1/x
plz its urgent
Answers
Answer:
[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]
A rectangle prism has length 12 centimeters and width 4 centimeters. If its surface area is 467 square centimeters, what is the height of the prism
Answers
Answer:
11.59 centimeters
Step-by-step explanation:
Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)
Plug in the surface area, length, and width. Then, solve for h:
A = 2(wl + hl + hw)
467 = 2((4)(12) + h(12) + h(4))
467 = 2(48 + 12h + 4h)
467 = 2(48 + 16h)
467 = 96 + 32h
371 = 32h
11.59 = h
So, the height of the prism is approximately 11.59 centimeters
Mr. Mancuso plants tomatoes on 1/3 acre of land, corn on 3/4 acre, and carrots on 1/2 acre. On how many acres of land total did he plant?
1 acres
1 acres
1 acres
2 acres
Answers
Answer:
1 7/12 acres of land
Step-by-step explanation:
Tomatoes = 1/3 acre of land
Corn = 3/4 acre of land
Carrots = 1/2 acre of land
Total acres of land he planted = tomatoes + corn + carrots
= 1/3 + 3/4 + 1/2
= (4+9+6) / 12
= 19/12 acres
= 1 7/12 acres of land
Or
= 1.5833333333333 acres
Total acres of land he planted = 1 7/12 acres of land
None of the given options is correct
Evaluate the expression 4 + 9(3 + 11) - 15*2 using order of operations.the 2 is an exponet
Answers
Answer:
-95
Step-by-step explanation:
4+9(3+11)-15^2
4+9(14)-15^2
4+9(14)-225
4+126-225
130-225
-95
What is the equation of a circle with its center at (−6,−3) and a radius of 12?
Answers
Answer:
(x+6)^2 + ( y +3)^2 = 144
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 + ( y - -3)^2 = 12^2
(x+6)^2 + ( y +3)^2 = 144
Answer:
x² + y² + 12x +6y - 99 = 0
Step-by-step explanation:
Given :
Centre = (-6,-3) Radius = 12 ,Using the Standard equation of circle ,
( x - h)² + (y-k)² = r² ( x +6)² + (y+3)² = 12² x² + 36 + 12x + y² + 9 + 6y = 144 x² + y² + 12x + 6y +45-144 = 0 x² + y² + 12x +6y - 99 = 0what is 121 divided by 57,246
Answers
Answer:2.1136848
Step-by-step explanation:
Answer:
0.00211368479
Step-by-step explanation:
which absolute value function defines this graph
Answers
Answer:
Option A, f(x) = -4|x+2|+3 defines the graph
Answered by GAUTHMATH
Which of the following number is not a perfect cube? 64 or 729 or 800 or 1331 can some1 say it fastt plsss
Answers
Answer:
800
Step-by-step explanation:
9.28 is answer of cube 800
-4b + 8c + 12 - 8b -2c & simplify
Answers
Answer:
Combine like terms
-4b + 8c + 12 - 8b -2c
-4b - 8b + 8c - 2c + 12
-12b + 6c + 12
6(-2b + c + 2)
Find the percent increase or decrease from 150 to 60
Answers
Answer:
60 % decrease
Step-by-step explanation:
It is a decrease since the amount gets smaller
Take the original amount and subtract the new amount
150 -60 = 900
Divide by the original amount
90/150
.60
Change to percent form
60%
( x + 3 )( y + 2 ) = xy - 5
( x + 2 )( y - 3 ) = xy
Answers
Answer:
xy+2x+3y+6=xy-5 .............(1)
xy-3x+2y-6=xy.....,.,(2)
2x+3y=-11
-4x+2y=6
first equation multiply by 2
(2)*(2x+3y)=-11
4x+6y=-22
-4x+2y=6
8y=-16 y=(-2),,,,, x=(-2,5)
What is 3/4 as a percentage
Answers
Answer:
75%
Step-by-step explanation:
A percent is a value out of 100.
Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.
[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]
This fraction represents a percent.
[tex]\frac{75}{100}[/tex] = 75%
PLEASE HELP, AND FAST! I WILL GIVE BRAINLIEST!!
Given the expression: 6x10 − 96x2
Part A: Rewrite the expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely. SHOW THE STEPS OF YOUR WORK.
Answers
Answer:
Step-by-step explanation:
factor the numerical coefficients (6 and 96)
HCF 6 and 96 is 6
HCF x^10 and x^2 = x^2
HCF: 6x^2
(6* x^8*x^2 - 16*6 x^2) Take out the highest common factor
6x^2 (x^8 - 16)
Please help :) angles
Answers
Answer:
y = 95
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
y+25 = 120
y = 120-25
y = 95
1. The parameter "a": Compare the graphs of several different exponential growth functions in
Mathematica to discover the significance of the parameter "a". Explain in detail what the
parameter "a" tells you about the graph of an exponential growth function.
Answers
Answer:
See explanation
Step-by-step explanation:
Required
The significance of "a" in exponential function
An exponential function is represented as:
[tex]y = ab^x[/tex]
In the above equation, parameter "a" is the initial value of the function
In other words, the value of the function when x = 0
Take for instance;
[tex]y = 2*4^x[/tex]
[tex]a = 2[/tex] because when [tex]x = 0[/tex]
[tex]y = 2 * 4^0[/tex]
[tex]y = 2 * 1[/tex]
[tex]y = 2[/tex]
Another significance of parameter a is that; it is the y-intercept of the geometric function.
