need help with exam study sheet
The rate of change is (-1)
To solve this, we need to look at graphic to know the values of the function f(x) when x is equal to 1 and 3.
Then we have two points of the graph: (1,6) and (3,4).
The rate of change between two points is:
[tex]m=\frac{\text{change in f(x)}}{change\text{ in x}}[/tex]In this case,
[tex]m=\frac{4-6}{3-1}=\frac{-2}{2}=-1[/tex]Note that its the same whatever coordinate put first:
[tex]\frac{6-4}{1-3}=\frac{4-6}{3-1}=-1[/tex]But when you do the difference between the coordinates, make sure to respect the order: if you use the y coordinate of the point P minus the y coordinate of point Q, you must to do the same for the x coodinate; Px-Qx
What is the range of the function shown
in the graph below?
Range of the given graph is (-∞,+∞)
Range of the function y=f(x) is all possible value of y for different value of x. Here value of x for which function is defined, known as domain of the function while the value of y for corresponding value of x is known as range of function.
In the graph of the function the value of x (on X-axis) for which graph is plotted known as domain of graph while the value of y on the Y-axis is known as range of graph.
In simple word we can say X-axis denotes domain and Y-axis denotes range
Thus, from the graph it seems very clear that the range of the given function or graph will lie between -∞ to +∞
we can also write as y∈ (-∞,+∞)
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Stephen is in first grade, and his class is creating pasta necklaces! There are two types
of pasta to use on the necklaces: long macaroni pieces, and small rotelle pieces which
look like wheels w|th spokes. The directions are to have no more than 35 pieces of
hold 20 macaroni noodles or 55
pasta on a necklace, and each string IS long enough to
pieces of rotelle.
Select the statement below that is not true.
Stephen's necklace, to start can accommodate 12 macaroni noodles and 23 rotelle pieces.
Necklace of Stephen can have 35 rotelle pieces.
Stephen's pendant can have 10 pieces of rotelle and 5 macaroni noodles.
explanation:
-
Option A is accurate because 35 pieces of pasta—the maximum permitted per necklace—are obtained by adding 12 macaroni noodles to 23 pieces of rotelle.
Option B is incorrect because the sum of the allowed 35 pasta pieces plus the 15 macaroni noodles and 21 rotelle pieces equals 36 pasta pieces.
Option C is accurate because 35 pieces of Rotelle do not exceed the upper limit.
Despite the fact that they still add up to the maximum allowed, Option D is false since a string
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8x - 3 > 2(4x + 1 )
Find x. Pleaseeee help me. Best answer gets 35 points
Answer:
There's no real solutions
Step-by-step explanation:
8x - 3 > 2(4x + 1 ) multiply inside the parenthesis with 2
8x - 3 > 8x + 2 transfer like terms to the same side of the inequation
8x - 8x > 3 + 2
0 > 5 this is not correct so we say there's no real solution to this inequation
Find f(-9) if f(x) =1x -8
Hello!
To solve for f(-9)
==> must simply plug in '-9' into the x's position
==> [tex]f(-9) = 1(-9)-8=-9-8=-17[/tex]
Hope that helps!
Pls help due tomorrow!!
Answer:
Where is the question?
Step-by-step explanation:
Given f(x)=2x^3+kx-11 and x-1 is the factor of f(x), then what is the value of k?
The value of k in the expression is equal to 9.
The expression is in the form of Cubic polynomial. A cubic polynomial is the one which can be written in the form y = ax³ + bx² + cx + d where a, b, c and d are coefficients and x, and y are independent and dependent variables respectively. The cubic polynomial f(x) = 2x³ + (k)x - 11 has a factor equal to (x-1). If it is the factor, then x = 1 is the solution of cubic polynomial and at x = 1 the value of f(x) = 0.
2(1)³ + k(1) - 11 = 0
2 + k - 11 = 0
k - 9 = 0
=> k = 9 which is the required value.
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what is the slope of a line perpendicular to the line whose equation is x+4=28
The slope of a line perpendicular to the line is -4
The equation is x -4y = 28
The equation for the line is
y = mx + c
where m = slope
c = y-intercept
Here the equation is x - 4y = 28
4y = x - 28
y = x/4 - 7
So the slope of this line is 1/4
Now we have to find the slope of the line perpendicular to that line.
We know that,
m1 × m2 = -1
1/4 × m2 = -1
m2 = -4
Therefore the slope of the line perpendicular to the line is -4.
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The complete question is:
Find the slope of a line perpendicular to x-4y=28
1. En los siguientes problemas, los puntos A, B, C forman siempre un triángulo rectángulo, encuentra el valor pedido en cada caso. Utiliza si es necesario
Las medidas de los lados desconocidos de las tres figuras son listadas abajo:
A) AC = 3
B) AC = 13
C) AB = 17
¿Cómo determinar los lados desconocidos de triángulos y rectángulos?
En este problema tenemos que dos casos de triángulos rectángulos y un caso de rectángulo. Por geometría euclídea, un rectángulo se forma uniendo dos triángulos rectángulos de iguales medidas. Las medidas de los lados faltantes se determina con el teorema de Pitágoras:
Caso A - Triángulo rectángulo
AC = √(BC² - AB²)
AC = √(5² - 3²)
AC = √(25 - 16)
AC = √9
AC = 3
Caso B - Rectángulo
AB = DC
AC = √(AD² + DC²)
AC = √(AD² + AB²)
AC = √(5² + 12²)
AC = 13
Caso C - Triángulo rectángulo
AB = √(AC² + BC²)
AB = √(8² + 15²)
AB = 17
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HELP IM MARKING BRAINLEIST
Answer:
x = 104
y = 74
Step-by-step explanation:
According to the figure, the quadrilateral has two pairs of parallel, opposite sides. That makes the quadrilateral a parallelogram.
In a parallelogram, opposite sides are congruent and opposite angles are congruent.
Because of congruent sides:
x - 7 = 97
x = 104
Because of congruent angles:
y = 74
PLEASEEE HELP first one to actually gets it right gets the crown thingy
Answer:
Step-by-step explanation:
Your first two photos are correct.
For your third photo, move your second dot one more to the right as you accidentally put 1.7 instead of 1.8.
For the first dot of -8/5 you should move it 8 more to the left. This is because:
-8/5 = -1 3/5 = -1.6
For your fourth photo
9/2 = 4 1/2 = 4.5
-7/2 = -3 1/2 = -3.5
For your fifth photo
-5 2/3 ≈ -5.66
5 1/3 ≈ 5.33
ASAP!!! A bike trail starts at (4.2,−30.5) and ends at (4.2,9.7) on a map. Each unit represents 1 kilometer. What is the distance from start of the trail to the end?
Explanation:
The x coordinates are the same, so we subtract the y coordinates and use absolute value to ensure the result isn't negative.
|-30.5 - 9.7| = |-40.2| = 40.2
One unit represents 1 km, so 40.2 units represent 40.2 km
This converts to 40,200 meters. Multiply by 1000 to go from km to meters.
here are the first 5 terms in a number sequence 7 10 13 16 19
write an expresstion, in terms of n, for the nth term of this number sequence.
Answer:
[tex]a_{n}[/tex] = 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 19 - 16 = 3
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4
Fill in the missing number.
_groups of 3 equal 27.
Answer:
9 groups of 3 equal 27
Step-by-step explanation:
Fill in the missing number.
9 groups of 3 equal 27
because 9 × 3 = 27
Given the equation Ax+By=C, solve for y.
A. y= C/B - Ax
B. y= C/Ax + B
C. y= C + Ax/B
D. y= -Ax/B + C/B
Answer: Choice D
Step-by-step explanation
First, subtract Ax from both sides:
Ax - Ax + By = C - Ax
By = C - Ax
Now, divide B from both sides:
[tex]\frac{By}{B}[/tex] = [tex]\frac{C - Ax}{B}[/tex]
y = [tex]\frac{C - Ax}{B}[/tex]
Finally, to get an equivalent answer for an answer choice, divide each term by B on the right side of the equation:
y = [tex]\frac{C}{B}[/tex] - [tex]\frac{Ax}{B}[/tex]
or
y = -[tex]\frac{Ax}{B}[/tex] + [tex]\frac{C}{B}[/tex]
or
y = [tex]\frac{-Ax}{B}[/tex] + [tex]\frac{C}{B}[/tex]
This answer is the same as answer choice D, and so D is the correct answer.
Answer: D.
Step-by-step explanation:
[tex]Ax+By=C\\Ax+By-Ax=C-Ax\\By=C-Ax\\[/tex]
Divide both parts of the equation by B:
[tex]\displaystyle\\y=\frac{C-Ax}{B} \\\\y=\frac{C}{B}-\frac{Ax}{B} } \\\\y=-\frac{Ax}{B} +\frac{C}{B}[/tex]
2. Alisha Gregory is a telephone installer. She is married and claims 2 allowances.
Her state personal exemptions total $76.92 per week. The state tax rate is 3.0% of
taxable income. Local income tax is 1.5% of gross. Medical insurance costs $1,940
a year, of which the company pays 60%.
The net pay of Alisha Gregory is $30606.4
Since we are given the weekly gross pay of her is $640
The annual gross pay will be 52 * 640 =33280.
Here the local income tax is 1.5% of the gross, which is 1.5/100 * 33280 = 499.2 and it is also specifically said that the state tax is the 3.0% of taxable income.
So we have:
3/100 * 33280= 998.4
The medical insurance is $1,940 for a year from where the company pays 60 %
For which we have:
60/100 *1940
= 1164
At the last he pays $4.50 for union dues and $7.50 for others.
Since we know that the net pay is nothing but the amount we get after subtracting the deductions from the annual gross pay
So the net pay = 33280- (499.2+998.4+1164+4.50+7.50)
= 33280 -(2673.6)
= 30606.4
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-12=-6(-8n+6) + 8(-4+n)
Answer:
n = 1
Step-by-step explanation:
-12 = -6(-8n + 6) + 8(-4 + n)
multiply our right side:
-12 = 48n - 36 -32 + 8n
combine n terms on right side:
-12 = 56n - 36 -32
combine numbers on right side:
-12 = 56n - 68
add 68 to both sides:
-12 + 68 = 56n - 68 + 68
56 = 56n
divide both sides by 56:
56/56 = 56n/56
n = 1
check:
-12 = -6(-8(1) + 6) + 8(-4 + (1))
-12 = -6(-8 + 6) + 8(-3)
-12 = -6(-2) + 8(-3)
-12 = 12 - 24
-12 = -12
Answer:
n=1
It's the answer I would tell u step by step but I can't cuase it will be kinda confusing
While on the trip to Galveston the boys got
hungry and sent Spencer to the store. Spencer
paid $9.03 for 2.1 pounds of flounder. What was
the price per pound Spencer paid for the
flounder?
Answer:
4.3 dollars per pound
Step-by-step explanation:
price / pound = ?
$9.03 / 2.1 lbs. = 4.3
Please write the answer on the picture so i understand carefully^^need rn
Required:
We need to fill the given diagram with suitable words.
Explanation:
Consider the first line.
There is a choice of fish-bottled water is coming from fish and bottled water.
Consider the second like there is Chicken-bottled water and we have bottled water.
There must be chicken under food.
There are only three types of drink that are Bottled water, Soft drink, and juice.
In drinks for fish, there are already two drinks Bottled water and juice so the remaining is Soft drinks.
Chicken and juice give a choice of Chicken-Juice.
Vegetable and Juice give a choice of Vegetable- Juice.
find 7% of 41 do not round your answer
[tex] \frac{7}{100} \times 41 \\ = 2.87[/tex]
ATTACHED IS THE SOLUTION
when Iris -12 - (-12), she got a difference of -24. Is her answer correct? If not, what mistake did she make?
Answer: Her answer is incorrect.
Step-by-step explanation: You have to distribute the negative sign to (-12), once you do that the (-12) becomes a positive making the equations -12 + 12 resulting in your answer being 0 not -24.
HELP PLEASEE!!!! my last question and hardest one
7(u - 4) = 28 solve for u simplify your answer as much as possible
Answer:
u = 0
Step-by-step explanation:
7(U + 4) = 28 Distribute the 7
7u + 28 = 28 Subtract 28 from both sides
7u = 0 Divide both sides by 7
u = 0
Answer:
7(u - 4) = 28
7u - 28 = 28
+28 +28
7u = 56
÷7 ÷7
u = 8
whats 2+1 and 40+9 and 56+3? and 2x0 and 5 x5 equal. it'll help tyyyyyyyyyy
also what is inside a squishmallow?? and how are rulers and pens made?
Answer:
2 + 1 = 3
40 + 9 = 49
56 + 3 = 61
2 x 0 = 0
5 x 5 = 25
Step-by-step explanation:
I think Squishmallows are made of fluff and cotton.
As for rulers, WOOD
Pens, ink, and plastic
hahahaaha i cant believe no one answered this yet, they probably thought this was an actual math problem they had to use much braincells for-
The answers for addition are 3,49,59 and multiplication are 0 and 25.
What are mathematical operators?Any symbol that denotes a mathematical operation is known as an operator. Examples are d/dx and Square root of x (which implies that the square root should be taken) (which indicates differentiation with respect to x is to be performed).
What are the five mathematical operators?These operators are + for addition, - for subtraction, * for multiplication, / for division, and % for percentage (modulo).
So:
2+1=3
40+9=49
56+3=59
2*0=0
5*5=25
Therefore,The solutions to the addition and multiplication problems are 0 and 25 respectively.
For the other part
Squishmallows are made of cotton and fluff.
rulers are made of WOOD
Ink and plastic and metal is used to make pens.
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Using the following graph, write the equation of a line that is parallel to the given line and passes through the point (0, 0).
(Write your answer is slope intercept form. The y= is already typed for you, so only type the remainder of the equation using NO spaces!)
Answer:
y=-x
Step-by-step explanation:
Slope of the line = -1
Parallel line slope = -1, y intercept 0
y = -x
:]
Calculate the volume of a hemisphere.. diameter is 11cm
Pls help with all steps
The volume of the hemisphere is found as 695.55 cm³.
What is termed as the hemisphere?The term hemisphere can be broken down into hemi as well as sphere, where hemi implies half and sphere is a 3D mathematical shape. As a result, a hemisphere is a three-dimensional geometric shape that really is half of a sphere, with one side flat and the other as a circular bowl. It is created by cutting a sphere at the centre point along its diameter, resulting in two equal hemispheres. The base or face of the hemisphere is the flat face of a hemisphere.The formula for finding the volume of the hemisphere is;
V = (4/3)πr³
where, π = 3.14
r = radius
For the given question, the diameter of the hemisphere is 11 cm.
Radius = 11/2 = 5.5 cm.
Put the value in formula.
V = (4/3)×3.14×5.5³
V = 695.55
Thus, the volume of the hemisphere is found as 695.55 cm³.
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pls help will give brainliest
Answer: The answer for X' is -1,8, and the answer for X'' is 3,14
Step-by-step explanation:
When talking about reflections across the x-axis, the formula would be: (x,y)---> (x, -y) so you first start out with -1, -8 then translate it to -1,8, because you swap the y. Then you add 4 to -1 because you move 4 to the right which gives you 3, and then you add 6 to 8 because you move up 6, which gives you 14, so your final answer is 3,14
Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
The ordered pair (–2, 7) is viable.
The ordered pair (0, 7) is viable.
The ordered pair (17, 3) is viable.
The ordered pair (20, 5) is non-viable.
The conclusion which is correct among the answer choices as given in the task content is; The ordered pair (17, 3) is viable.
Which conclusion among the answers choices is correct?It follows from the task content that the conclusion which is valid be identified among the answer choices.
Since it is given that; there is a relationship between the number of visit and hole-in-one winners.
The statement above indicates that the number of visitors must be greater than the number of winners. This follows from the fact that there is no winner if there are no visitors.
Hence, since x is the number of visitors and y is the number of winners, the ordered pair which is viable is; (17, 3).
The ordered pair (20, 5) is viable too. However, the last answer choice indicates that it id not and hence, is incorrect.
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Answer:
(17,3)
Step-by-step explanation:
I got it on FLVS
chegg tell whether each sequence is arithmetic. if the sequence os arithmetic, identify the common difference and find the indicated term 3,5/2,3/2,-3/2,...
Take the 2nd term and minus the 1st term.
Now take the 3rd term and minus the 2nd term.
Notice that the differences are the same. Hence there is a common difference (difference of -0.5).
So it is an arithmetic sequence.
Two brothers, Steven and Michael, each inherit $35000. Steven invests his inheritance in a savings account with an annual return of 1.8%, while Michael invests his inheritance in a CD paying 6% annually. How much more money than Steven does Michael have after 1 year?
$1470 more money does Michael have than Steven after 1 year.
What is Rate of Interest?The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Rate of interest is simple interest for Steven in a savings account. He can withdraw his money any time he wishes to.
Steven will receive after 1 yr an interest payment of
=35000×1.8/100
=35000×0.018
=630
Michael invests his inheritance in a CD (Certificate of Deposit) account. He gave up access to his money for a specified period of time. Assuming that given rate of interest is annual.
=35000×6/100
=35000×0.06
=2100
Therefore, Micheal has more money than Steven.
=2100-630
=1470.
Hence $1470 more money does Michael have than Steven after 1 year.
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