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
Could someone please guide me towards solving side x I know I have to use trig but I'm completely lost
Answer:
x = 33.13 units
Step-by-step explanation:
Let the altitude of the triangle be h units.
[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]
Answer:
x = 23.7926Step-by-step explanation:
Step 1
Find the length of vertical line segment, lets call it h. Use function cos
h/31 = cos 66°h = 31 * cos 66° = 31*0.4067 = 12.6077Step 2
Find x using another function, sin
h/x = sin 32°x = h / sin 32°x = 12.6077 / 0.5299x = 23.7926An accountant who is currently earning $42,380 annually expects a 6.5% raise. What is the amount of the
expected raise?
Answer:
$2754.70
Step-by-step explanation:
Please Help ASAP IT'S DUE TODAY!!
140 ÷ 20 = 7
7 × 15 = 105
24
6 1/2
Find the surface area of the square pyramid shown below.
9514 1404 393
Answer:
160 units^2
Step-by-step explanation:
Each of the four triangular faces has an area of ...
A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units
The square base has an area of ...
A = s^2 = 8^2 = 64
Then the total surface area is ...
A = base area + 4 · triangle area
A = 64 + 4(24) = 160 . . . square units
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Answer:
case a) y=1/3x+8
case b) y=-3x+28
Step-by-step explanation:
case a)
parallel lines has the same slope, then, the searched line has the form:
[tex]y=\frac{1}{3} x +b[/tex]
Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has
[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]
Then, the line equation is y=1/3x+8
case b)
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is
[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]
Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,
[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]
Hence, the searced equation is y=-3x+28
. "A number is less than or equal to -11.".
Answer:
x <(with a line underneath the carrot) -11
Step-by-step explanation:
Hope this helps! Could not find the symbol.
The inequality for x which is less than or equal to -11 is written as x ≤ -11 or x + 11 ≤ 0.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Let the required number is x.
In the given question,
Number x is less than or equal to -11.
The inequality for x which is less than or equal to -11 can be written as,
x ≤ -11
The inequality can be further simplified as,
⇒x + 11 ≤ 0
The inequality for x is x + 11 ≤ 0.
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write the equation of the line in standard form passing through (2,-4) with a slope of -7
Answer:
7x+Y=-2
Step-by-step explanation:
(y-y1)=m(x-x1)
(Y+4)=-7(x-2)
Y+4=-7x+2
Y+7x=2-4
7x+Y=-2
Who can help me with this for algebra 2
Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c
Answer:
2x^2-4x+1
Step-by-step explanation:
2(x-1)^2-1
2(x^2-2x+1)
2x^2-4x+2-1
2x^2-4x+1
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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]
[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]
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What is the unit rate if the candy is $7.80 for 2 pounds?
Answer:
= 3.9 candy per pound
Step-by-step explanation:
This is a fraction equal to
7.8 candy ÷ 2 pounds
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
7.8 candy ÷ 2
________
2 pounds ÷ 2
=
3.9 candy
_______
1 pound
=
3.9 candy
_______
pound
= 3.9 candy per pound
I need to find the slope.
Answer:
The slope is 3/2
You randomly selected one card from a 52-card desk. Find the probability of selecting a black nine or black three
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
2 units
6 units
Square root of 12 units
Square root of 20 units
Answer:
its 6 units
Step-by-step explanation:
Answer:
Square root of 20
I really hope i'm right sorry in advanced if i'm not
There are 7 students in a class: 2 boys and 5 girls.If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?
Answer:
two sevenths
Step-by-step explanation:
I need help with this can someone help me I have a few other ones as well I don’t understand anyone?
Answer:
x=59
Step-by-step explanation:
The sum of the interior angles of a triangle add up to 180 degrees. That means that (x+12)+(x)+(x-9)=180 degrees in total. If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3). If we rewrite this in a more simplified form, we get 3x+3=180. Subtract 3 on both sides to get 3x=177 because we want to isolate x. 3x=177 divide 3 on both sides and we get 59. x=59
Which of these shows the following expression factored completely? 6x2 – 13x +5
Answer:
B
Step-by-step explanation:
That's my guess.
Answer:
C
Step-by-step explanation:
Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form
Answer:
He kept 7/12 of the box.
Step-by-step explanation:
We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.
1/6 = 2/12 | 1/4 = 3/12
then add.
2/12 + 3/12 = 5/12.
we subtract this from a whole, which is 12/12.
12/12 - 5/12 = 7/12
he keeps 7/12 of the box
hope this helped!
question: what is the relationship between measures of angle 1 and angle 2
pls help need answer fast
Answer:
C.
Step-by-step explanation:
m1 is greater than m2 because the angle is larger
While on vacation, Jorge and Jackie traveled to Bryce Canyon National Park in Utah. They were impressed by the different elevations at the viewpoints along the road. The graph describes the elevations for several viewpoints in terms of the time since they entered the park. The graph represents a function E(t). Part A:Describe why the graph represents a function. Part B:Identify the domain in range of the function.
Answer:
timeline
Step-by-step explanation:
the table shows the same time I don't have your phone you u you y you can get a hold of y have a lot to do it you got a
The domain and range provides a definition for a graph
Part A: The graph represents a function because a vertical line drawn from the horizontal crosses the graph only once
Part B. Domain: 0 ≤ t ≤ 30
Range: 7000 < f(t) ≤ 9,300
Reason:
Part A: The reason why the graph represents a function is that a function is a one to one relationship that maps each element of the set known as the domain to exactly one element of the set which is the range of the function
Therefore, a vertical line drawn on the graph of a function crosses the graph only once, such that one input cannot have two outputs
Which gives that the graph is a function, given that all the vertical lines from the horizontal axis crosses the graph f(t) at exactly one point
Part B
Domain:
The domain of a function are the possible input values of the function
In the graph, the possible values of the time, t are; 0 ≤ t ≤ 30
The domain of the function is 0 ≤ t ≤ 30
Range:
The range of a function are the possible output values of the function
The range of the given function f(t) are; from approximately 7,000 feet to approximately 9,000 feet, which gives;
The range of the function: 7000 < f(t) ≤ 9,300
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The ______ identity is 1.
Answer:
I believe its ,multiplication
Step-by-step explanation:
because any number you multiply be one is one
mark brainliest if correct please
Answer:
multiplication
Step-by-step explanation:
Cause of Peter griffen
Write an equation in point-slope form and slope-intercept form for the line.
passes through (6, -6), slope = 5
Answer:
y = 5- 36
Step-by-step explanation:
6 is the x
-6 is the y
y=mx+b
so m times x, m is the slope
5 times 6 is 30
-6=30+b
so -36
y=5x-36
SORRY IF IM WRONG I TRIED
i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
Can anyone thats really extremely excellent at math, history and english please help me out with my questions. Truly need help. Please only answer if you know how to. ( Just click on my name and go to my questions) answer.
Answer:
Meeeeeeeeeeeeeeeeeeeeeee
Drag the phrases into the box to match each expression.
Answer:
theres no image
Step-by-step explanation:
reflection across y= -x
Answer:
option A) is correct.
Step-by-step explanation:
As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.
So the formula about the reflection across [tex]y=-x[/tex] will be:
(x, y) ⇒ (-y, -x)
From the graph, the vertices of the triangle are:
Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:
(x, y) ⇒ (-y, -x)
U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)So, the vertices of U', T' and V' will be:
U' (2, 5) T' (3, 3) V' (5, 5)Therefore, option A) is correct.
Use this picture and help please
Answer:
This would be 55 degrees because the sum of angles A, B and C = 180 degrees
answer pls hurry need this asap
Answer:
y=-6x-8
Step-by-step explanation:
well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6
A submarine started at the surface of the water and
was moving down at –15 kilometers per
minute
toward the ocean floor. The submarine traveled at
this rate for 52 minutes before coming to rest on the
ocean floor. What is the depth of the ocean floor?
Answer:
The depth of the Ocean Floor is -780 kilometers
Step-by-step explanation:
The answer is -780 because -15 multiplied by 52 equals -780.
Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?
Answer:
$90
Step-by-step explanation:
70-25 = 45
45x2 = 90
what kind of graph is this?
Answer:
Linear
General Formulas and Concepts:
Types of Graphs
LinearQuadraticExponentialCubicSquare rootCube rootStep-by-step explanation:
Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.