Answer:
Step-by-step explanation:
6(1)(-2) -2(1)(-2)^2 - 3(1)(-2) +(-2)^2
-12 -8 +6 +4
=-10
-10 is the value of the given polynomial.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
First, we can simplify the polynomial by combining like terms:
[tex]2x^2y + 4x^2y + 3xy^2 - 5xy^2 - 3xy + y^2\\= (2x^2y + 4x^2y) + (3xy^2 - 5xy^2) + (-3xy + y^2)\\= 6x^2y - 2xy^2 - 3xy + y^2[/tex]
Now, to evaluate for x = 1 and y = -2, we substitute those values into the simplified expression:
[tex]6(1)^2(-2) - 2(1)(-2)^2 - 3(1)(-2) + (-2)^2\\= 6(-2) - 2(4) + 6 + 4\\= -12 - 8 + 6 + 4\\= -10[/tex]
Therefore, the value of the polynomial for x = 1 and y = -2 is -10.
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Mark bought 8 boxes a week later half of all his boxes were destroyed in a fire there are now only 20 boxes left with how many did he start?
Let it b represent how many boxes he started with
Equation or inequality:
Mark began with:
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Answer:
equation: 1/2(s +8) = 20Mark began with 32 boxesStep-by-step explanation:
Let s represent the number Mark started with. After buying 8 more, he then had s+8. After the fire, he had ...
(1/2)(s +8) = 20
This equation can be solved by multiplying by 2, then subtracting 8.
s +8 = 40
s = 32
Mark began with 32 boxes.
What is 10% Compound interest of R15 000 every month for 3 years?
Answer:
19500
Step-by-step explanation:
30/100 X 15000 = 4500
15000 + 4500 = 19500
Answer:
A = $19,965.00
A = P + I where
P (principal) = $15,000.00
I (interest) = $4,965.00
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 15,000.00(1 + 0.1/1)(1)(3)
A = 15,000.00(1 + 0.1)(3)
A = $19,965.00
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $15,000.00 at a rate of 10% per year compounded 1 times per year over 3 years is $19,965.00.
Average rate of change question
Answer:
Step-by-step explanation:
need help with this!
9514 1404 393
Answer:
a(n) = 1/2(-8)^(n-1)
Step-by-step explanation:
The general term of a geometric sequence is ...
a(n) = a(1)×r^(n-1)
where a(1) is the first term, and r is the common ratio.
Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...
a(n) = 1/2(-8)^(n-1)
Calculate simple interest and compound interest assuming that principal amount is $ 10,000; interest rate is 9% for three years. What is the amount different between compound and simple interest?
Step-by-step explanation:
Please mark me as brainlyest
There is another bag of red and yellow footballs with a ratio of 4:3. If there are 20 red footballs in the bag, how many footballs are there in total?
Answer:
35
Step-by-step explanation:
take no. of red footballs be 4x and yellow footballs be 3x
4x=20, x=5
=> 3(5)= 15
total no. of footballs= 20+15= 35
Solve for w.
|5w + 7) = |5w + 8)
please help :)
Answer:
w=3/2
Step-by-step explanation:
[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]
which graph shows x =4?
Answer:
second graph shows x=4 because you can see from origin point and counting will makex=4
(x+1)/5 + (x+1)/6 + (x+1)/7 + (x+1)/8 + (x+1)/9 + (x+1)/10 = 0
Step-by-step explanation:
[tex] \frac{x + 1}{5} + \frac{x + 1}{6} +\frac{x + 1}{7} +\frac{x + 1}{8} +\frac{x + 1}{9} +\frac{x + 1}{10 } = 0[/tex]
[tex](x + 1)( \frac{1}{5} + ... + \frac{1}{10} ) = 0[/tex]
Since the second factor is non-zero, the only possible condition for the equation to hold is,
[tex]x + 1 = 0[/tex]
[tex]x = - 1[/tex]
Cecelia receives two credit card offers in the mail. Each has a 0% introductory APR. After the introductory period, the first card has an APR of 19.99% and the second card has an APR of 24.99%. If each card has a late fee of $35 and an annual membership fee of $25, which card should she choose and why?
Answer:
1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35
Then we must consider the APR after the initial value 19.999% < 24.99%Hence she should price the first card with a 19.99% APR
What is the value of (-1/4 - 1/2) ÷ (-4/7)
Answer:
1 5/16
Step-by-step explanation:
(-1/4 - 1/2) ÷ (-4/7)
Parentheses first
Get a common denominator
(-1/4 - 1/2 *2/2)
(-1/4 - 2/4)
-3/4
Replace in the equation
(-3/4 ) ÷ (-4/7)
Copy dot flip
-3/4 * -7/4
21/16
1 5/16
[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]
[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]
Don Simón repartió 60 canicas entre sus dos
hijos, de modo que el mayor recibió tres veces lo
que el menor. ¿Cuántas canicas recibió el hijo
mayor?
Un sistema de ecuaciones es un conjunto de ecuaciones que operan con el mismo conjunto de variables, de tal forma que buscamos solucionar ambas ecuaciones al mismo tiempo.
En este problema querremos encontrar un sistema de ecuaciones para poder encontrar la cantidad de canicas que recibe el hijo mayor.
Encontraremos que recibe 45 canicas
La información que se nos da es:
"Don simón repartió 60 canicas entre ambos hijos"
"El hijo mayor recibe 3 veces la que el menor"
Definamos las variables:
x = cantidad que recibe el hijo mayor
y = cantidad que recibe el hijo menor.
Como sabemos que la cantidad total de canicas es 60, entonces tenemos:
x + y = 60
Como tambien sabemos que el mayor recibe 3 veces lo que el menor, podemos escribir:
x = 3*y
Entonces tenemos 2 equaciones, las cuales podemos combinar en un sistema de ecuaciones.
x + y = 60
x = 3*y
Para resolver este sistema, el primer paso sería aislar una de las variables en una de las ecuaciones. Como queremos resolverlo para x, debemos aislar la otra variable.
Podemos hacerlo en la segunda ecuación:
x/3 = y
Ahora podemos reemplazar esto en la primer ecuación:
x + y = 60
x + x/3 = 60
(4/3)*x = 60
x = (3/4)*60 = 45
x = 45
Podemos concluir que el mayor recibe 45 canicas.
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simplify -(2a -2) -(a + b)+(a-6+b)
Step-by-step explanation:
-2a-2-a-b+a-6+b
-2a-a+a-b+b-2-6
-2a+0-8
-2a-8
Answer:
-2a-8
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
What's the X-Intercepts of (2x-5)(x+1)=9 or (2x-5)(x+1)-9
Answer:
Step-by-step explanation:
Either way works. It comes to the same thing.
(2x-5)(x+1)=9
F: 2x*x = 2x^2
O: 2x*1 = 2x
I: -5 * x = -5x
L: -5*1 = -5
2x^2 + 2x - 5x - 5 = 9 Subtract 9 from both sides
2x^2 - 3x - 14 =0 Divide by 2 (it makes life easier).
Factoring you get
(2x - 7)(x + 2)
2x - 7 = 0
2x = 7
x = 3.5
x + 2 = 0
x = -2
The x intercepts = (3.5,0) and (-2,0)
I've put a graph up for the given equation.
jasper had 3 5/6 feet of rope. He cut off two pieces that were 1 2/3 feet each for a project. How many rope does Jasper have left?
Answer:
Jasper have left 1/2 feet
Step-by-step explanation:
3 5/6 - (1 2/3 x 2)
= 23/6 - 10/3
= 23/6 - 20/6
= 1/2
Answer:
Jasper has [tex]3/6[/tex] feet of rope left.
Step-by-step explanation:
[tex]1 \frac{2}{3} + 1\frac{2}{3} = 3 \frac{1}{2} = 3\frac{2}{6} \\\\3 \frac{5}{6}- 3\frac{2}{6}= \frac{3}{6}[/tex]
A good doctor recommends that a person who weighs 65 pounds be given 200
milligrams of medicine. If the dosage were proportional to a person's weight, how
many milligrams of medicine would the doctor recommend for a person who
weighs 96 pounds?
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Answer:
295 mg
Step-by-step explanation:
The proportion can be written ...
dose/(96 lb) = (200 mg)/(65 lb)
dose = (96/65)(200 mg) ≈ 295.4 mg . . . . . multiply by 96 lb, cancel lb units
The doctor might recommend 295 mg for a 96-pound patient.
There are 25 students' names in a hat. You choose 5 names. Three are
boys' names and two are girls' names. How many of the 25 names would
you expect to be boys' names?
Show all of your work do in 10 minutes
Answer:
15
Step-by-step explanation:
You have to calculate the boys name using ratio expression.
3/5 × 25
= 15
A student rotated figure A 270° clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly.
Step-by-step explanation:
The student incorrectly performed a rotation of 90° clockwise.
Answer:
C, the student incorrectly preformed a rotation of 90 degrees clockwise.
Step-by-step explanation:
-3/5+2/3 pls help now
HELP MEE !!!!!!!!!!!!!!!!!!!!
Answer:
It is D
9 * (12 + 7) = 9 * 19 = 171
now we test to see if 9 * 12 + 9 * 7 is the same
9 * 12 = 108
9 + 7 = 63
108 + 63 = 171
Step-by-step explanation:
Please help I will mark brai list if u are right
Answer:
Umm I'm only in middle school umm I think it's A bc there pointing in the same line
draw a number line and represent the following rational number 5 upon 4
plz help me in this question
class 7
i will mark brainliest
Answer:
First we need to convert this fraction number to decimal then only we caan mark that on a number line
[tex]\frac{5}{4}[/tex] divide
You will get 1.25
Now mark 1.25 on number line
How high is a tree that cast a26ft shadow at the same time a 6ft post casts a shadow which is 11ft long
Answer:
[tex]14\frac{2}{11}[/tex] ft
Step-by-step explanation:
Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:
[tex]\frac{x}{26} =\frac{6}{11}[/tex]
Now, to solve for x, we can cross-multiply:
11x = 6*26
11x = 156
x = [tex]14\frac{2}{11}[/tex]
Is 9pi rational or irrational
Answer:
irrational
Step-by-step explanation:
every number that times with pi are irrational, only zero gives a rational number
evaluate the expression
Step-by-step explanation:
13
[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]
[tex]3 + 4 - 4 = 3[/tex]
15
[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]
[tex] \frac{10 - 9}{20 - 12} [/tex]
[tex] \frac{1}{8} [/tex]
Choose the repeating decimal that is equal to
the fraction on the left.
0.17
0.351
0.17
0.351
0.351
58
165
79
225
13
37
ОО
ОООО
8
45
ООО
17
99
Step-by-step explanation:
[tex] \frac{58}{165}[/tex]
[tex] \frac{79}{225} [/tex]
[tex] \frac{13}{37} [/tex]
[tex] \frac{8}{45} [/tex]
[tex] \frac{17}{99} [/tex]
The answer is in the picture shown here
<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5
Here <5=<8 then
<7=<6=29[tex]\\ \sf\longmapsto <7+<8=90[/tex]
[tex]\\ \sf\longmapsto 29+<8=90[/tex]
[tex]\\ \sf\longmapsto <8=90-29[/tex]
[tex]\\ \sf\longmapsto <8=61[/tex]
<5=61°Determine which number is in "proper" scientific notation.
The number that is in "proper" scientific notation is A. 2.31 * 10^-4
What is scientific notation?A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. When a number is too big or too small to be conveniently stated in decimal form, or if doing so would involve writing out an exceptionally long string of digits, it can be expressed using scientific notation. It is also known as standard form in the scientific form, standard index form, and standard form.
The number on the left in scientific notation always consists of a single digit, a decimal point, and the appropriate (see important figures) number of digits after the decimal.
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Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each.
Jane is
years old.
Harvey is
years old.
Answer:
Jane is 12 and Harvey is 36
Step-by-step explanation:
3x+x=48
4x=48
x=12
3(12)=36
1(12)=12
What is the perimeter of the recangle 6 in by 8 by6 by 8
Answer:
28
Step-by-step explanation:
6+8+6+8
6+8=14x2=28
Answer:
28
Step-by-step explanation:
P = 2(l+ w)
2(6+ 8) =
2(14)=
28
Hope this helps.