: 3a2 + 2b2 when a = -3 and b = 6
Answer: 63
Step-by-step explanation:
3(-3)^2 + 2(6)^2 (multiply 3 times -3) & (multiply 2 times 6)
-9^2+12^2 (-9 to the 2nd power and 12 to the 2nd power)
-81+144 (add them up)
=63
The value of the expression is 3a² + 2b² is 69.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Expression: 3a² + 2b²
Not, put the value of a= -3 and b=6 we get
= 3a² + 2b²
= 3(-3)² + 2(4)²
= 3 x 9 + 2 x 16
= 37 + 32
= 69
Hence, the value of expression is 69.
Learn more about Expression here:
https://brainly.com/question/14083225
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Suppose you plan to sell five trading cards. Three of the cards
will be shipped domestically, and two will be shipped
internationally. The cost of international shipping is $2.50
greater than the cost of domestic shipping.
Write About It!
If you spent $22.50 on shipping, how much is the cost of
domestic shipping? Define a variable, write an equation,
and solve the problem.
Answer: $3.50
Step-by-step explanation:
Let the cost of domestic shipping be x.
Since the cost of international shipping is $2.50 greater than the cost of domestic shipping. This will be:
= x + 2.50
Since we are further told that three of the cards will be shipped domestically, and two will be shipped internationally and that $22.50 will be spent on shipping, this will be express in an equation as:
3x + 2(x + 2.50) = 22.50
3x + 2x + 5.00 = 22.50
5x = 22.50 - 5.00
5x = 17.50
x = 17.50/5
x = $3.50
The cost if domestic shipping is $3.50
SOMEONE JUSt please HELP ME HELP ME PLEASE ITS URGENT
Answer:pretty sure it’s both 35°
Step-by-step explanation:
[tex]3 \frac{1}{2} + 2 \frac{1}{4} - 1 \frac{1}{2} [/tex]
Answer:
Step-by-step explanation:
Step 1: Convert into improper fractions
Step 2: Find least common denominator and find equivalent fractions
Step 3 : Do the required operation
[tex]3\frac{1}{2}+2\frac{1}{4}-1\frac{1}{2}=\frac{7}{2}+\frac{9}{4}-\frac{3}{2}\\[/tex]
Least common denominator of 2 , 4 = 4
[tex]=\frac{7*2}{2*2}+\frac{9}{4}-\frac{3*2}{2*2}\\\\=\frac{14}{4}+\frac{9}{4}-\frac{6}{4}\\\\=\frac{14+9-6}{4}\\\\=\frac{17}{4}\\\\=4\frac{1}{4}[/tex]
b) 2(x-3) + X = 5x-2(x+5)
Answer:
X=x−4
Step-by-step explanation:
2(x−3)+X=5x−2(x+5)
Use the distributive property to multiply 2 by x−3.
2x−6+X=5x−2(x+5)
Use the distributive property to multiply −2 by x+5.
2x−6+X=5x−2x−10
Combine 5x and −2x to get 3x.
2x−6+X=3x−10
Subtract 2x from both sides.
−6+X=3x−10−2x
Combine 3x and −2x to get x.
−6+X=x−10
Add 6 to both sides.
X=x−10+6
Add −10 and 6 to get −4.
X=x−4
Tuesday’s attendance was 70% of Monday’s attendance, 50. What was Tuesday’s attendance?
Answer:
35
Step-by-step explanation:
100 / 50 = 2
70 / 2 = 35
Simplify 8w+3-2w=11(-4w+2)
Answer:
w = 2.63157894736
Step-by-step explanation:
8w+3-2w=11(-4w+2) | Given
6w + 3 = -44w + 22 | Combine like terms & distribute
50w + 3 = 22 | Add 44w to both sides
50w = 19 | Subtract 3 from both sides (simplified)
w = 2.63157894736 | Divide both sides by 50 (value of w)
Find the perimeter of lsosceles triangle ABC (below) if mAD = 3 and m < BAC = 55 degrees. Round to the nearest hundredth.
Answer:
r
Step-by-step explanation:
math algebra HELP!!!!
Answer:
y = 32
Step-by-step explanation:
[tex]\frac{1}{2} y + 22 = 38[/tex]
Subtract 22 from both sides to isolate the y variable.
[tex]\frac{1}{2} y = 16[/tex]
Divide both sides by [tex]\frac{1}{2}[/tex], which is the same as multiplying by 2.
y = 32
1/2y + 22 = 38
-22 -22
1/2y = 16
x2 x2 ---> This is because if 1/2y = 26, that means y times 1/2 is 26, but we want to know what y times 1 is because y times 1 is equal to y so we multiply by 2 because 1/2 times 2 equals 1.
y = 32
Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that birthdays are equally likely to fall on any day of the year. Consider a group of 10 people, of which you are not a member. The sample space consists of all possible sequences of 10 birthdays (onefor each person).
a. Define the probability function P for S.
b. Consider the following events:
1. "someone in the group shares your birthday";
2. "some two people in the group share a birthday";
3. "some three people in the group share a birthday". Carefully describe the subset of S that corresponds to each event.
c. Find an exact formula for P(A). What is the smallest m such that P(A) > .5?
d. Justify why m is greater than 365 without doing any computation. (We 3 are looking for 2 a short answer giving a heuristic sense of why this is so.)
e. Find an exact formula for P(B).
Answer:
Follows are the solution to the given question:
Step-by-step explanation:
They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.
[tex]S=365^n[/tex]
This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.
[tex]P(x)=\frac{1}{365^{n}}[/tex]
if x is between 1 and 365 as well as the occurrence is just all similarly possible
In point i:
That somebody mentions their birthday throughout the party
Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.
In point ii:
Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.
In point iii:
Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.
How can I solve this problem?
a cubical house can hold 4096 cm3 of air find the height of the house
Answer:
The height is 16
Step-by-step explanation:
Given
Shape: Cube
[tex]Volume = 4096cm^3[/tex]
Required:
Determine the height of the house.
Volume is represented as:
[tex]Volume = L^3[/tex]
Make L the subject
[tex]L = \sqrt[3]{Volume}[/tex]
This gives:
[tex]L = \sqrt[3]{4096}[/tex]
[tex]L= 16[/tex]
The height is 16
What is unknown number in proportion?
Answer:
x = 2.4/20= 0.12
Step-by-step explanation:
Multiply both sides by 4 to eliminate the fraction 1/4:
1 20
--- = ------
x 2.4
Next, we cross-multiply. This eliminates the fractions:
20x = 2.4
Dividing both sides by 20 results in an equation for x: x = 2.4/20= 0.12
Use the distributive property to create an equivalent expression for -6(7t - 4). Make sure you answer is in the form shown below
Answer:
-42t + 24
Step-by-step explanation:
-6(7t-4)= -42t + 24
-6 x 7t = -42t
-6 x -4 = +4
Explain how to calculate a number that is equal to 2.1/1.5.
Answer:
1.4
Step-by-step explanation:
Given the expression 2.1/1.5.
This can also be expresses as;
2.1/1.5
= 21/10 ÷ 15/10
= 21/10 × 10/15
= 21/15
= 7/5
= 1.4
Hence the result is 1.4
Help 20 points + brainiest answer
The shorter leg of a right triangle is 9 ft shorter than the longer leg. The hypotenuse is 9 ft longer than the long leg. Find the sides of the triangle
Answer and Step-by-step explanation:
|\
| \
| \
| \
| \
| \ 9 + x
x - 9 | \
| \
| \
| \
| \
|_____________\
x
That is your triangle.
Now, since its a right triangle, we can use the Pythagorean theorem to solve for x.
The equation for the Pythagorean theorem is this: [tex]A^{2} + B^{2} = C^{2}[/tex]
So we plug in the values.
[tex](x^{2} ) + (x-9)^{2} = (x + 9)^{2}[/tex]
We solve for x.
[tex]x^{2} + x^{2} -18x + 81 = x^{2} + 18x + 81[/tex]
Get everything to the left side of the equation. (x^2 + x^2 = 2x^2, - x^2 = x^2;
-18x - 18x = -36x; 81 - 81 = 0)
[tex]x^{2} -36x = 0[/tex]
Add 36x to both sides, then divide by x.
[tex]x^{2} = 36x\\\\x = 36[/tex]
Shortest Leg = 36 - 9 = 27
Longest Leg = 36
Hypotenuse = 45
#teamtrees #WAP (Water And Plant)
please help with my homework
Answer:
It will be 16pie =50 andpie4^2
Step-by-step explanation:
Hope this Helped
find the slope of the line passing through the points (-9,5) and (-1,5)
Slope = change in Y / change in x:
Slope = (5- 5) / (-1 - -9)
Slope = 0/8
Because the change in Y = 0, the slope = 0
Slope = 0
Answer:
0
Step-by-step explanation:
(-9,5) and (-1,5)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(5 - 5) / (-1 - 9)
Simplify the parentheses.
= (0 ) / (-10)
Simplify the fraction.
0/-10
= 0
This is your slope.
This is also a horizontal line, which will have a slope of 0.
2.)---------------------------------------------------------------------------
A.) A paint store sells exterior for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in standard form for the number of gallons p of paint rollers r that a customer could buy with $190.
B.) Use your equation to determine the number of gallons of paint needed if a customer bought 6 rollers
The total price for the gallons of paint will be 35.75p
The total price for the rollers will be 6r
So the equation if the customer have 190 will be
price for gallons of paint + price for rollers = 190
35.75p + 6r = 190
(This is the equation)
How can you isolate the variable in x-3 = 7
Answer:
x = 10
Step-by-step explanation:
To isolate the variable (x) you would first write out x - 3 = 7. Now to make x on its own we have to get rid of the -3 so to do that we would add the reciprocal of -3 (or the opposite) which is +3. x - 3 + 3 = 7 + 3 or x = 10.
Mid-Mod 3 Review
Name
1 Lisa used 5 orange juice containers, From the fust container, she poured out gallon of
orange juice. She then poured out 'h gallon from each of the four remaining containers,
a. How much orange juice did Lisa pour out in all? Show and label all your work.
How many ways can the teacher choose a group of 5 students to present on the first day if Marjorie must present on the first day?
Answer:
126
Step-by-step explanation:
How do you do these questions?
Answer:
a) - 7 dollars
b) 24.30 dollars
c) - 5 dollars
Step-by-step explanation:
b) 27 / 10%
Divide 27 by 10/100 by multiplying 27 by the reciprocal of 10/100.
27 x 100/10
Multiply 27 and 100 to get 2700.
2700/10
Divide 2700 by 10 to get 270.
270
Divide 270 by 100 to get 2.7
Subtract 27.00 - 2.7 = 24.30
24.30
Find the exact value of sec795°
Answer:
I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
1. 2x-y=0
X+3y=-14
2. Write the equation of the line in slope intercept form that goes through the point (7,2) and has a slope of 4.
3. 4-5x+3=4x-2
Show steps, thx:)
Answer:
(1) [tex](x,y) = (-2,-4)[/tex]
(2) [tex]y = 4x -26[/tex]
(3) [tex]x = 1[/tex]
Step-by-step explanation:
(1):
[tex]2x - y = 0[/tex]
[tex]x + 3y = -14[/tex]
Required: Solve for x and y
Make x the subject in [tex]x + 3y = -14[/tex]
[tex]x = -3y - 14[/tex]
Substitute -3y - 14 for x in the first equation
[tex]2x - y = 0[/tex]
[tex]2(-3y-14) - y = 0[/tex]
Open bracket
[tex]-6y - 28 - y = 0[/tex]
Collect Like Terms
[tex]- y-6y = 28[/tex]
[tex]-7y = 28[/tex]
Divide both sides by -7
[tex]y = -4[/tex]
Substitute -4 for y in [tex]2x - y = 0[/tex]
[tex]2x - (-4) = 0[/tex]
[tex]2x + 4 = 0[/tex]
Collect Like Terms
[tex]2x = -4[/tex]
Divide by 2
[tex]x = -2[/tex]
Hence, the solution is:
[tex](x,y) = (-2,-4)[/tex]
(2):
[tex](x_1,y_1) = (7,2)[/tex] -- points
[tex]m = 4[/tex] --- slope
Required: Determine the line equation
This is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 4(x - 7) + 2[/tex]
Open bracket
[tex]y = 4x - 28 + 2[/tex]
[tex]y = 4x -26[/tex]
(3)
[tex]4 - 5x + 3 = 4x - 2[/tex]
Required: Solve for x
Collect Like Terms
[tex]- 5x -4x = - 2-3-4[/tex]
[tex]-9x = -9[/tex]
Divide both sides by -9
[tex]x = 1[/tex]
a gumball machine gives you no gum if you insert 5c, 5 gumballs if you insert 10c , 10 gumballs if you insert 15c and 15 gumballs if you insert 20c. how many gumballs could you expect to receive if you insert 35c?
Answer:
30
Step-by-step explanation:
create a function where x is the money you insert in cents and y is the amount of gumballs you get.
y = x - 5 (meaning you get five less gumballs than the amount of cents you insert)
Therefore, when x = 35:
y = 35 - 5 = 30.
You will get 30 gumballs.
4. Tisha has two bags of marbles like the ones
shown below.
Bag 1
Bag 2
Blue
Blue
Yellow
Red
Blue
Blue
Rod
Blue
Yellow
Red
Tisha will randomly select 1 marble from each
bag. What is the probability that Tisha will select
a blue marble from each bag?
Answer:
A. 0.25
B. 0.5
C. 0.6
D. 0.1
Please help
Answer:
0.25
Step-by-step explanation:
Bag 1 :
Number of marbles = 6
Number of Blue marbles = 3
Bag 2:
Number of marbles = 4
Number of Blue marbles = 2
Recall :
Probability = required outcome / Total possible outcomes
For Bag 1:
P(blue) = Number of Blue marbles / total marbles
P(blue) = 3 / 6 = 1/ 2
For Bag 2:
P(blue) = Number of Blue marbles / total marbles
P(blue) = 2 / 4 = 1/ 2
Probability of a picking a blue marble from each bag :
1/2 * 1/2 = 1/4 = 0.25
A number is _____ by another number if the quotient is a counting number and the remainder is zero.
Answer:
56888
Step-by-step explanation:
guy is unavailable right now because this video is not available
2 Fill in the boxes to find the resulting equation when 25 is subtracted from
each side. Simplify both sides of the equation,
25 +2=
25
31
25
Solve it
Given:
The equation is
[tex]25+x=31[/tex]
25 is subtracted from both sides.
To find:
The missing values for the given blanks.
Solution:
We have,
[tex]25+x=31[/tex]
If 25 is subtracted from both sides, we get
[tex]25+x-25=31-25[/tex]
[tex](25-25)+x=6[/tex]
[tex]0+x=6[/tex]
So, the missing values for the blanks are 0 and 6 respectively.
It is also written as
25 + x = 31
-25 -25
-----------------------------
0 + x = 6
------------------------------
Therefore, the missing values for the blanks are 0 and 6 respectively.