Answer:
C
Step-by-step explanation:
-4-9= -13
-4 + (-9) = -13
What is the value of 6a + 2b if a = 1 and b = 2?
Answer:
3a + 2b ; a=1, b =-2
3
(
1
)
+
2
(
−
2
)
(substitute the values of the variables)
From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).
3
+
(
−
4
)
(simplify)
3
−
4
=
−
1
So here, what we've proven is that in our given equation, if
a
=
1
and
b
=
−
2
, then it would yield us a product of
−
1
.
Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.
Try another:
6
a
2
−
b
+
8
with a = 1 and b = 3
6
(
1
)
2
−
(
3
)
+
8
6 - 3 + 8
= 11
Just as a sidenote here, make sure you're aware of the difference between
(
6
x
)
2
and
6
x
2
. The former refers to both the 6 and the
x
being squared, whereas the latter shows only the
x
being squared. Just be careful not to mix the two.
Try one more:
2
c
−
5
3
b
+
4
with b = 2 and c = 4
2
(
4
)
−
5
3
(
2
)
+
4
=
8
−
5
6
+
4
=
3
10
(or 0.3)
Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.
Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
6a + 2b
6(1)+2(2)
6+4
=10
Look at this coordinate plane
Which equation can be used to find the y-coordinate of point B?
y/1=23
y/2=56
y−1/2=4/6
y−1/2=y−5/4
Answer:
Hrmm
Step-by-step explanation:
Reduce the answer to lowest terms 4/5 divided 16/15
Answer:
3/4
Step-by-step explanation:
4/5 divided by 16/15 = 4/5 x 15/16
Simplfied = 1 x 3 / 1 x 4
Simplified = 3/4
Thus, our answer is 3/4
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?
Solve eight and four eighths minus five and five sixths.
(Giving extra points on this one)
A) two and twelve forty eighths
B) two and thirty forty eighths
C) three and one fourteenth
D) three and twelve fourteenths
(Here is an image if needed) :
Answer:
B: 2 32/48
Step-by-step explanation:
8 4/8 - 5 5/6
Turn to fractions:
8 4/8 = 68/8
5 5/6 = 35/6
Common denominator: 24
68 x 3 = 204
8 x 3 = 24
35 x 4 = 140
6 x 4 = 24
Set-up:
204/24 - 140/24
Solve:
64/ 24
Simplifying to Mixed Number:
64/24 = 8/3 = 2 2/3 = 2 32/48
Answer:
b
Step-by-step explanation:
Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.
Answer:
The product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Step-by-step explanation:
Matrix multiplication
To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.
If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).
Matrix A has two rows and three columns (2x3)
Matric C has three rows and two columns (3x2)
If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.
Since both numbers are 2, the product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)
Answer:
A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Step-by-step explanation:
Given:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Required:
Find an equivalent polynomial
Solution:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Using distributive property of multiplication
2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)
-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸
There are no like terms to add or combine, therefore:
(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Answer:
-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8
Step-by-step explanation:
I took the test
need someone’s help with this please!!!
Answer:
Option 3
Step-by-step explanation:
Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.
x+5=2x-5
2x-x=5+5
x=10
Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6
Answer:
1/2 or C
Step-by-step explanation:
1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46
A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
How many square meters he can cover with 6.6 liters of paint?
12)/1.2=120/12=10m^2
4.8/1.2=48/12=4m^2
6.6/1.2=66/12=11/2=5.5m^2
this is another way you can do it
1. 12/1.2 times as much paint, so 12/1.2 times as much area.
2. 6.6/1.2 times as much paint, so 6.6/1.2 times as much area.
3. 4.8/1.2 times as much paint, so 4.8/1.2 times as much area.
A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets will cost $12 and the volunteer has $75 total to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.
Answer:
6.3
Step-by-step explanation:
10 blankets with an unidentified price plus 12 for shipping is equal to 75
10x+12=75
minus 12 from both sides
10x=63
divide 10 from both sides
x=6.3
Now, let's prove the answer is true.
10x+12=75
Replace x with 6.3
10(6.3)+12=75
10 times 6.3
63+12=75
75=75
The statement is true.
You can run 10 miles in 80 minutes. How far can you run in 2.5 hours?
Answer:
18.75 miles
Step-by-step explanation:
1 hour = 60 minutes
2.5 Hours = 150 minutes
10 miles _____> 80 minutes
x_______> 150 minutes
x= ( 150 * 10) / 80
= 1500/80
x= 18.75 miles
easy
Answer:
Step-by-step explanation:
10 miles- 80 minutes
?- 150 minutes
1500+80x
X= 10.75 miles
What is the value of x?
Answer:
8
Step-by-step explanation:
You have to set up a proportion for this!
Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!
If you solve the proportion for x:
[tex]\frac{x}{40} =\frac{7}{35}[/tex]
x = 8
2 What is the sum of 5x2 + 3x - 7 and 12x + 12? A. 5x2 + 15x + 5 B. 5x2 + 15x + 19 C. 17x2 + 3x + 5 D, 17x2 + 15x + 12 4 E. 20x" + 5
help plsss i really need it
Answer:
can u re-upload the image i cant see it
Step-by-step explanation:
the 200th term of the arithmetic progression 10 97,94,91,.............is
Answer:
-500
Step-by-step explanation:
Given sequence;
97, 94, 91 ......
Unknown;
The 200th term of the sequence;
Solution:
Since we were given an arithmetic progression, we need to first find the common difference;
Common difference = second term - first term
= 94 - 97
= -3
To find the 200th term, we use the expression below;
Sn = a + (n-1)d
a is the first term
n is the nth term
d is the common difference
S₂₀₀ = 97 + (200 - 1 ) x -3 = -500
PLEASE HELP ASAP!!!!
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
19) slope=2 y-intercept is 1 equation is y=2x+1
20) slope=-4 y-intercept is 4 equation is y=-4x+4
21) slope=-1/3 y-intercept is -5 equation is y=-1/3x-5
22) slope=-2/3 y-intercept is -5 equation is y=-2/3x-5
23) slope=-8 y-intercept is is -4 equation is y=-8x-4
24) slope=5 y-intercept is -3 equation is y=5x-3
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
This equation was solved incorrectly.
6x – 2(4x – 6) = 16
6x + 8x – 12 = 16
14x – 12 = 16
Step 1:
Step 2:
Step 3:
Step 4:
14x = 28
x=2
Which step contains the first error? Explain the error.
Find an equation of the line containing the given pair of points.
(−5,−5) and (4,4)
Answer:
y = x - 9
Step-by-step explanation:
[tex]Slope=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{4-(-5)}{4-(-5)}=\frac{9}{9}=1[/tex]
[tex]y-intercept:y-y_{1}=m(x-x_{1} ) \\y-(-5)=1(x-4)\\y+5=x-4\\[/tex]
Subtract 5 from both sides;
y = x - 9
Please help me with all, I will mark brainliest as long as u tell me how u got those answers
2.1-?=1 1/2
Please answer this I don’t want to fail
A fast-food restaurant sold 54 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 9: 5, how many burgers did they sell total?
Answer:
Step-by-step explanation:
We can write an relationship for this as:
3
:
2
→
24
:
b
Where
b
is the number of burgers sold without cheese.
We can rewrite the relationship as an equation and solve for
b
:
3
2
=
24
b
2
3
=
b
24
24
×
2
3
=
24
×
b
24
48
3
=
24
×
b
24
16
=
b
b
=
16
The restaurant would of sold
16
burgers without cheese with the information provided in the problem.
what is tan 11pie divided by 6?
Answer:
1/6 tan(11 π) = 0
Alternate representations:
1/6 tan(11 π) = -1/6 cot((21 π)/2)
1/6 tan(11 π) = -1/6 cot((23 π)/2)
1/6 tan(11 π) = 1/(6 cot(11 π))
Step-by-step explanation:
A plane flies with a speed of 600 mph. What distance will it fly
in 3 /5 hours,11/12 hours, 4/15 hours?
Answer:
3/5=360 mph 11/12=550 4/15=160
Step-by-step explanation:
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
(4,5)
(5,6)
(6,7)
(7,8)
(8,9)
(9,10)
(10,11)
(11,12)
what is 5+5 and then divided by 8
Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.
The constant rate of change of the account is $40 or Increasing by $40 per month.
Step-by-step explanation:
Consider the provided information.
Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.
Rate of change is known as how one quantity change in relation to other.
The rate of change can be calculated as:
y2-y1/x2-x1
Now use the above formula to calculated the rate of change.
240 - 120/6-3
120/3
40
Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.
Complete the following statement:
12 orders in 2 days =
orders per day.???
Answer:
6 orders per day.
Step-by-step explanation:
12 divided by 2 is 6.
This means that in one day they can pack 6 orders.
Answer:
12 orders in 2 days = 6 orders per day
Step-by-step explanation:
In two days, 12 orders were completed. To find the amount of orders per day, we divide the number of orders by the number of days.
12÷2=6
Therefore, 6 orders per day.