Answer:
5x⁴ + 7x or x(5x³ + 7 )
Step-by-step explanation:
Given expression:
5x⁴ - 7(-x )
To simplify this expression, we have to follow the order of operation PEMDAS;
Parentheses, Exponents, Multiplication, Division, Addition and Subtraction
5x⁴ - 7(-x ) = 5x⁴ + 7x
Since x is common to both terms;
= x(5x³ + 7 )
So the simplified version can be 5x⁴ + 7x or x(5x³ + 7 )
An architect's scale drawing of a new school is 8.4 inches
long. The scale used in the drawing is 2 inches = 8 feet.
What is the actual length, in feet, of the school?
Select one:
16.8
18.4
51.2
o
33.6
Answer:
33.6
Step-by-step explanation:
Help i give Brainest A metro car in New Orleans travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional which equation represents the relationship between distance, d, and time, t? i
In order to find a constant rate of change, the function must be linear.
True or False?
The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle
Answer:
L=8, W=4
Step-by-step explanation:
2L+2W=p
2(4)+2(8)=p
8+16=24
Answer:
length = 8 in.; width = 4 in
Step-by-step explanation:
ratios that are equivalent to 40:28
Answer:
10:7
Step-by-step explanation:
The selling price of an item is Rs 194. If the loss is 3 %, find the cost price
Answer:
188.88
Step-by-step explanation:
Rita owed her brother $ 15. After her birthday, she was able to pay him back and still have $45. How much money did Rita receive for her birthday ?
5 (2k - 8 ) - 15 = -25
how do I solve this?
Answer:
3=k
5(2k-8)-15=-2510k-40-15=-2510k-55=-2510k=-25+5510k=3030÷103=kThe printed price of a DVD player is $30. If the buyer pays a sales tax of 8%, find the price at which the
DVD player is sold?
Answer:
It was sold at $32.40.
Step-by-step explanation:
hope this helpss :))
what's the exact length of the segment
Answer:
√13
Step-by-step explanation:
length √(2^2+3^2)=√13.
Marcelle claims that both these functions have the same discriminant.
Do you agree with Marcelle?
If you do, what is the value
of the discriminant?
If you disagree, explain why?
Answer:
Yes because they both only have one zero so the discriminant for both is 0
Step-by-step explanation:
explanation above lol
The two functions have the same discriminant b² - 4a = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know, Discriminant in a quadratic equation ax² + bx + c is, b² - 4ac.
Now, From the graph the discriminant and properties here,
D = 0 as the vertex of the parabola intersect only at one point.
b² - 4ac = 0.
The blue graph intersects at (2, 0) and the red graph intersects at (- 2, 0).
So, they have the same discriminant.
learn more about quadratic equations here :
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Wyatt is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.75. Wyatt spent $20.25 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Wyatt played and the number of rides Wyatt went on.
Answer:
Wyatt played 3 games and went on 6 Rides
Step-by-step explanation:
Let games be represented as x
Let ride be represented as y
Each game cost $1.25
Each ride cost $2.75
Total money spent by Wyatt= $20.25
x1.25 + y2.75 = 20.25 ..... Equation 1
the number of rides he went on is twice the number of games he played
Y= 2x ... Equation 2
Substituting the value of y into equation 1
x1.25 + y2.75 = 20.25
x1.25 + 2(x)2.75 = 20.25
x1.25 + x5.5 = 20.25
x6.75= 20.25
x= 20.25/6.75
X= 3
Y= 2x
Y= 2(3)
Y= 6
Wyatt played 3 games and went on 6 Rides
ILL MARK U BRAINLIEST IF U EXPLAIN!!
Answer:
93
Step-by-step explanation:
the total of all those are 150 so if you multiply it by three you get 450
so multiply pizza by three too
to get 93
Answer:
93 students
Step-by-step explanation:
You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.
Therefore, 93 students would say pizza is there favorite food.
Hope this helps :)
37x+26=42x+6
someone please help me solve this step by step
Step-by-step explanation:
37x+26=42x+6
x=4
If am wrong sorry
Answer:
x = 4
Step-by-step explanation:
1. Subtract 26 on both equation. (37+26−26=42+6−26)
2. Simplify and Subtract the numbers and repeat. (37=42−20)
3. Subtract 42x on both equation. (37−42=42−20−42)
4. Put together (simplify). (−5=−20)
5. Now divided with -5x. ( −5/−5=−20/−5)
6. Get your answer! (=x4)
~~~Hope this helps~~~
19 - 4x + 15x.
Please Help And Explain How To Do This.
Answer:
Step-by-step explanation:
19-4x+15x combine like terms
19+11x
A taxi charges a flat fee of $2 and $0.75 per mile.
Angela can spend no more
than $20. How many miles
can she travel in the taxi?
Answer:
She can travel 7 miles in the taxi.
Step-by-step explanation:
2.75×7=19.25
Help pls it would be much appreciated need it asap
Answer:
( 6, -3 )
Step-by-step explanation:
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
- NK
- MK
- MF
- [tex]A_{AMNFD}[/tex]
Answer:
[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]
Step-by-step explanation:
According to the statement, we find the following inputs:
[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]MD = 9[/tex]
[tex]NF = 5[/tex]
Given than longer base and shorter base are parallel to each other, we conclude that:
[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]
[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]
[tex]\angle KND = 45^{\circ}[/tex]
[tex]\angle FND = 90^{\circ}-\angle KND[/tex]
[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)
[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]
[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)
[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)
If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:
[tex]DO = MO \approx 6.364[/tex]
[tex]NO = OF \approx 3.536[/tex]
The value of MK is obtained from the following relationship:
[tex]MK = \frac{MD-NF}{2}[/tex]
[tex]MK = \frac{9-5}{2}[/tex]
[tex]MK = 2[/tex]
And the value of KD is calculated from this expression:
[tex]KD = MD-MK[/tex]
[tex]KD = 9-2[/tex]
[tex]KD = 7[/tex]
Now by the Pythagorean Theorem we find that:
[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]
[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]
[tex]NK \approx 7.001[/tex]
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
[tex]MF = NO + DO \approx 7.001[/tex]
Lastly, the area of the isosceles trapezoid is determined by the following formula:
[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]
[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]
If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:
[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]
[tex]A_{AMNFD} = 49.007[/tex]
2j^3-8j^2 please help
Answer:
Your answer is: [tex]2j^{2}(j-4)[/tex]
Factor [tex]2j^{2}[/tex]out of [tex]2j^{3} -8j^{2}[/tex]
Step-by-step explanation:
Hope this helped : )
Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer?
Answer:
Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.
Step-by-step explanation:
What is the area of the composite figure? Please answer need the answer now!
Answer:
65
Step-by-step explanation:
4b + 3 = 2b + 13 Can someone please help me with this problem
Answer:
b = 5
Step-by-step explanation:
[tex]4b - 2b = 13 - 3 \\ 2b = 10 \\ b = 5[/tex]
A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above
Answer:
The answer is B
Step-by-step explanation:
A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank
Answer:
it would be 0.64
Step-by-step explanation:
whats the slope to this
Answer:
-14/15
Step-by-step explanation:
What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?
Answer:First three terms: 11,20,29 .
Step-by-step explanation:
Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).
I hope this is right
I NEED HELP WITH THIS PLZ HELP ME WITH MATH! I"M GIVING 20 points for someone who answers it. PLZ HELP ME WITH MATH!
Answer: [tex]\frac{x^8}{256y^{20}}[/tex]
If the font is too small, it says x^8 all over top 256y^20 as one big fraction.
========================================================
Work Shown:
[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]
Which situation represents an example of a non-proportional relationship?
A. A restaurant charges $1.75 for each soft drink.
B. A cell phone company charges customers 10 cents per text sent or received.
C. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
D. A dog walker charges $10 to walk one dog for 30 minutes.
Option c is the correct answer. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
What is a proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. That constant is known as the "constant of proportionality".
So a non-proportional relationship is basically a line that does not cross the origin of a graph. So using the linear exhaustion of a line, y=mx+b, a proportional relationship would be something along the lines of y=mx+0 because b, which is the w intercept is 0. I
Having said that, here is the equation for a line:
a) would be y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y-intercept). This means this is a
b) would be y=0.10x (because it is only charging per amount of texts, and nothing else, there is again no b value, so the y-intercept is 0, crossing the origin). (THIS IS ALSO NOT THE ANSWER)
c) y=20x+50 (x is the number of months, which then determine the amount of money you spend at the gym based on how many months you go there. Plus, you have to add in the cost of the gym membership as well, being 50$. So, in this case, because 50 is being added to the 20x, the b value or y-intercept would be 50.
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7/4x-5 + 2y - 3.5 + -1/4x + 5
What is the result when you change the line y = 6/5 x + 2 to
Ax + By + C = 0 form?
Answer:
14x+7y=-214x+7y=−2
Step-by-step explanation:
I think that can help :) wanna chat add me as friend