Answer:
b. –2x^5 + x^3/2 + x/4 + 1
Step-by-step explanation:
In the given expression, the degrees of the terms, in the order given, are ...
1, 5, 3, 0
When the terms are properly arranged in standard form, they will be ...
5, 3, 1, 0 . . . . descending order
The standard form of this expression is ...
-2x^5 +x^3/2 +x/4 +1 . . . . . . matches choice B
Answer: b.–2x^5 + x^3/2 + x/4 + 1
Step-by-step explanation:
Which of the following is a logarithmic function? A. Y=0.25X B. Y=x^0.25 c.y=log25^x d.y=(0.25)^x
Answer:
The correct option is C .
Step-by-step explanation:
A logarithm function is written in the form of [tex]y=log_ax[/tex],
Since, y = 0.25x is the type of function y = mx + c,
Which is the general form of a linear function,
⇒ y = 0.25x is not a logarithm function,
[tex]y=x^{0.25}[/tex] is the type of function [tex]y=kx^a[/tex], where k and a are any real number,
Which is the general form of a power function,
⇒ [tex]y=x^{0.25}[/tex] is not a logarithmic function.
[tex]y=(0.25)^x[/tex] is the type of function [tex]y=ab^x[/tex]
Which is the general form of exponential function,
⇒ [tex]y=(0.25)^x[/tex] is not a logarithmic function,
Hence, only the function in option C has written in the form of [tex]y=log_ax[/tex].
Option C is correct.
The radius of the bulls-eye of the dartboard is 8 inches. The radius of each concentric circle (there are 4 labeled A, B, C, D from the inside out) is 14 inches more than the radius of the circle inside it. If a dart lands at random on the dartboard, the probability that the dart will hit in area C is what percent?
Of all the houses on kermit lane, 20 have front porches, 20 have front yards, and 40 have back yards. how many houses are on kermit lane?
reflect point A(5, 7, 2) across the xz-plane. where will the new point be located?
(-5, -7, 2)
(-5, -7, -2)
(-5, 7, -2)
(5, -7, 2)
Which diagram shows parallel lines cut by a transversal?
Answer:
The third diagram.
Step-by-step explanation:
When we have two parallel lines cut by a transversal, vertical angles are congruent; alternate interior angles are congruent; alternate exterior angles are congruent; corresponding angles are congruent; and same-side interior angles are supplementary.
In the first diagram, we have two angles on the same side of their respective parallel lines and the same side of the transversal. These are by definition corresponding angles. Since they are not congruent, these lines are not truly parallel.
In the second diagram, we have two angles on opposite sides of the transversal and outside the block of parallel lines. These are by definition alternate exterior angles. Since they are not congruent, these lines are not truly parallel.
In the third diagram, we have two angles inside the block of parallel lines and on the same side of the transversal. These are by definition same-side interior angles. Since they are congruent, these are parallel lines.
A square banner has an area of (4x^2-12x+9) square inches. Write an expression for the perimeter of the banner.
You are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month. Which credit card feature is most important?
a.
No annual fee
b.
Low APR
c.
Generous rewards program
d.
No balance transfer fee
Answer:
A
Step-by-step explanation:
EDU
The credit card feature of "No annual fee" represents the correct alternative of the given ones.
What is credit card?A credit card is a payment card issued to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt.
Given is that you are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month.
The credit card feature of "No annual fee" is suitable for emergencies.
Therefore, the credit card feature of "No annual fee" represents the correct alternative of the given ones.
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help with these two please....
What is the sum of 4.9 × 102 and 6.8 × 103?
( one answer )
Answer:the answer is 7290
Step-by-step explanation:
From the given expression
4.9*10^2 =4.9*100=490
and
6.8*10^3=6.8*1000=6800
490+6800=7290
Jason is buying hamburgers and hot dogs for a barbecue. One package of hamburgers costs $10. One package of hotdogs costs $5. He has $60 to spend, and must buy AT LEAST 3 packages of hot dogs.
What 2 inequalities can be used?
Answer:
10x + 5y ≤ 60 & y ≥ 3Step-by-step explanation:
Let x = the number of hamburgers
Let y = the number of hotdogs
Let us first represent the amount of food:
10x + 5y ≤ 60
This means x packages of $10 hamburgers plus y packages of $5 hotdogs is greater than or equal to $60.
However, we have also been given another important piece of information and that is that he must buy at least three packages of hotdogs.
y ≥ 3
this means that the packages of hotdogs must be no less than 3.
Hence or two inequalities are 10x + 5y ≤ 60 & y ≥ 3.
This also means that the least he can spend on hotdogs is $15. The most he can spend on hamburgers is $45, meaning the most packages of hamburgers he can get is 4
PLEASE MARK BRAINLIEST
Select the statements that are true for the graph of y=(x−1)^2(−6)
The vertex is (1, −6) .
The vertex is (−1, −6) .
The graph has a minimum.
The graph has a maximum.
From the graph of given function, we have vertex (1, -6). Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=(x-1)²-6.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (1, -6)
Focus: (1, -23/4)
Axis of symmetry: x=1
Directrix: y=-25/4
The coordinate points to plot are (-1, -2), (0, -5), (1, -6), (2, -5) and (3, -2).
Therefore, option A is the correct answer.
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The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent: According to the given information, and . Using a straightedge, extend segment AB and place point P above point B. By the same reasoning, extend segment AD and place point T to the left of point A. Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the ____________. By the Transitive Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the _____________. Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the Transitive Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent. What theorems accurately complete the proof?
Given a parallelogram ABCD, refer to the attached image.
To prove: Opposite angles are congruent.
Proof:
According to the given information,
Step 1: Using a straightedge, extend segment AB and place point P above point B.
Step 2: By the same reasoning, extend segment AD and place point T to the left of point A.
Step 3: Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem.
Step 4: Angles PBC and BAD are congruent by the Corresponding Angles Theorem. ( If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Corresponding angles are the angles which occupy the same relative position at each intersection where a straight line crosses two others.)
Step 5: By the Transitive Property of Equality, angles BCD and BAD are congruent.
Step 6: Angles ABC and BAT are congruent by the Alternate Interior Theorem.(The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Alternate Interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.)
Step 7: Angles BAT and CDA are congruent by the Corresponding Angles Theorem.
Step 8: By the Transitive Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.
The proof requires the use of specific theorems such as the Vertical Angles Theorem and Corresponding Angles Theorem to establish the congruence of angles in a parallelogram.
Theorems that accurately complete the proof:
Angles PBC and BAD are congruent by the Vertical Angles Theorem.
Angles ABC and BAT are congruent by the Corresponding Angles Theorem.
Theorem 12 states that if two angles are congruent, their supplementary angles are also congruent.
Maria sets a goal of jogging 17.5miles this week. She plans on running 2.75 miles each day for 7 days . If she follows her plan which is true
Write an equation of the line that passes through the points (-2,-2) and (0,5)
This net folds into a cube. Which two letters appear on opposite faces?
-D and A
-A and E
-C and D
-B and E
Answer:
- B and EStep-by-step explanation:
If this net folds into a cube, then, when we form the cube, side B and side E becomes opposite sides, because side D and side F would be placed next to side B, having side E as opposite.
Therefore, the right answer is the last choice. Sides B and E appear on opposite sides.
Solve the system of equations using the linear combination method.
{5p−3q=−39
{−2p−3q=3
Enter your answers in the boxes.
By solving the equations through linear combination method we are going to get the values of p and q are -6 and three.
What is linear combination method?It is a bit like elimination method of solving equations within which one variable is eliminated so we'll get the worth of another variable.
How to solve an equation?We are having two equations:
5p-3q=-39-------------1
-2p-3q=3---------------2
equation1 * 2 and equation 2 *5
10p-6q=-78
-10p-15q=15
Now add both equations
10p-6q-10p-15q=-78+15
-21q=-63
q=3
Put the worth of q in 1
5p-3(-3)=-39
5p+9=-39
5p=-30
p=-6
Hence the system of equations have the worth of p=-6 and q=3.
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If y is directly proportional to x and y is 12 when x = 10, what is the constant of variation?
Answer:constant of variation = 1.2
Step-by-step explanation:
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Which phrase describes an unknown or changeable quantity? A. 60 seconds multiplied by 5 B. 2 times the number of pages in the book C. 15 years of schooling D. 3 dollars and 76 cents
The correct answer for APEX is B (2 times the number of pages in the book)
A Rectangle launch tray has a length of X centimeters and a width of 15 cm the trays length is at least 20% greater than it's width. right an inequality to represent this situation. suppose X is a whole number find the least possible permitted and the least possible area of the lunch tray
The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.
Gina sells 216 cakes in the ratio small :medium:large 5:7:12. The profit for one medium cake is twice the profit for one small cake. The profit for one large cake is three times the profit for one small cake. Her total profit id £648.45. Work out the profit for one small cake.
Answer:
£1.31
Step-by-step explanation:
5+7+12=24
216÷24=9
Small=9x5=45
Medium=9x7=63
Large=9x12=108
2x= Medium, Large= 3x, Small=x
Small=45x, Medium= 63x2=126x, Large=108x3=324x
45x+126x+324x=495x
£648.45=495x
£648.45÷495=x
£1.31=x
The profit for one small cake will be £ 1.31. The profit of the one small cake is the amount of benifit obtained to sell one cake.
What is profit?When money generated from a commercial activity exceeds the expenses, costs, and taxes involved in maintaining the activity in question, profit is earned.
The ratio of the small :medium: large cake is 5:7:12.
Let the cake is considered to be x;
The sum of alll the cakes is;
5x+7x+12x=24 x
The total no of cake is 216
Each no of cake is found as;
[tex]\rm 24 x = 216 \\\\ x = 9[/tex]
The number of the small cake;
N(s) = 9 ×5 =45
N(m)=9×7=63
N(l)=9×12=108
Let the small cake is x
The profit for one medium cake is twice the profit for one small cake;
P(m)=2x
P(l)=3x
P(s)=x
The small medium and the large cake according to the new condition will be 45 x,126x,324x respectively.
The sum of all the cakes according to the new condition is found as;
[tex]4s x +126 x+324 c \\\\ 495 x=648.45 \\\\ x=\£ \ 1.31[/tex]
Hence the profit for one small cake will be £ 1.31.
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A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. Which of the following polynomials represents the area of the rectangle? Select all that apply.
Y varies inversley with x y= 0.5 x= 3 what is the value of k the constant of inverse variations
Which of the following statements is not true about reflections?
The image faces the same direction as the pre-image.
The image is the same shape as the pre-image.
The image is the same size as the pre-image.
Points on the pre-image are the same distance from the line of reflection as the corresponding points on the image.
Answer: The image faces the same direction as the pre-image.
Step-by-step explanation:
Reflection is a transformation in which a geometric shape (pre- image) is reflected across a line called as axis of reflection, producing a mirror image.
It is a rigid transformation because the image is the same size and shape as the pre-image.
Since it produces the mirror image of the original image therefore, the points on the pre-image are the same distance from the line of reflection as the corresponding points on the image.
So the only statement is not true about reflection is "The image faces the same direction as the pre-image. ".
Help please asap, thanks
can someone explain how you factor 6x^3 + 8x^2 + 2x
Which expression gives the distance between the points (4, 6) and (7, -3)?
Answer:
The expression gives the distance between the points (4, 6) and (7, -3) is Option (C) .
i.e
[tex]Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}[/tex]
Step-by-step explanation:
Formula
[tex]Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
As the point are (4, 6) and (7, -3) .
Put points in the formula
[tex]Distance\ formula = \sqrt{(4 -7)^{2} + (6- (-3))^{2}}[/tex]
[tex]Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}[/tex]
[tex]Distance\ formula = \sqrt{(3)^{2} + (9)^{2}}[/tex]
[tex]Distance\ formula = \sqrt{9 + 81}[/tex]
[tex]Distance\ formula = \sqrt{90}[/tex]
[tex]\sqrt{90} = 9.5\ units\ (Approx)[/tex]
Distance formula = 9.5 Units (Approx)
Therefore Option (C) is correct.
PLEASE HELP NOW I ONLY NEED TO KNOW NUMBER 5. 25 POINTS!!!
Points C and D are equidistant from point A. Complete the following table to prove that AEC ≅ AED.
Gina earns $19,750 annually and has 20% of her gross earnings
withheld. What is the net amount of her paycheck each pay period if
she is paid biweekly?
a. $607.69
b. $658.33
c. $14,000
d. $134.62
ANSWER ASAP AND GET BRAINEST
Mr Daniels is organizing a class field trip on a budget of $900.The bus rental costs $600. Mr.daniels will also buy tickets that will cost $9.50 per student. Write an inequality to represent the number students,y, that he can bring on the trip.
Answer:
y ≤ 31 students
Step-by-step explanation:
The rental cost is a fixed cost that will be incurred irrespective of the number of students embarking on the class field trip. This cost added to the total ticket cost must be less than or equal to the budget.
the total ticket cost for y number of students
= 9.5y
Hence the total cost = 9.5y + 600 ( measured in $)
In inequality form,
9.5y + 600 ≤ 900 (all in $)
9.5y ≤ 900 - 600
9.5y ≤ 300
y ≤ 300/9.5
y ≤ 31 students