Answer:
2x^2 - 11x + 15
Step-by-step explanation:
Expand 2x - 5 and x - 3 means that the algebraic expressions be multiplied.
(2x - 5)(x - 3)
x(2x - 5) -3(2x - 5)
2x^2 - 5x - 6x +15 = 2x^2 - 11x + 15
the diagram shows wxy. which term describes point z?
Answer:
You need to upload a picture of the problem in order to get the answer.
The fifth-grade classes at Harvest Elementary School had an apple-tasting party. They tasted red, yellow, and green apples. There were 130 apples at the party altogether. There were 3 times as many yellow apples as green apples. There were twice as many red apples as yellow apples. How many red apples were at the party?
Answer:
78 red apples
Step-by-step explanation:
Set up the equations
r + y + g = 130
y = 3g
r = 2y
If r = 2y and y = 3g, then r = 6g
Plug in the two equations, y = 3g, and r = 6g
6g + 3g + g = 130
10g = 130
g = 13
Plug in 13 as g in the equation r = 6g
r = 6(13)
r = 78
There were 78 red apples
Determine graphically whether the ordered pair (0, 2) is a solution of the following system of equations, and check using algebra.
x + 3y= 4
3x+y = -2
Answer: Not a solution of the System
Step-by-step explanation:
Plug in 0 for x and 2 for y for both equations.
Note, if only one of the equations is a true statement
(0.2) is not a solution. If either one of the equation is not true, the ordered pair is not a solution.
0+3(2)=4
3*2=6
0+6=6
6≠4
This was only the first equation but it was not true.
The equation is not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.
To determine graphically whether the ordered pair (0, 2) is a solution of the system of equations, we can plot the two equations on a graph. If the point (0, 2) lies on both lines, then it is a solution of the system.
The first equation is x + 3y = 4. To plot this equation, we can first solve for y:
y = -(1/3)x + 4/3
This equation has a slope of -1/3 and a y-intercept of 4/3. So, the line will rise 1 unit for every 3 units it moves to the left. The y-intercept is 4/3, so the line will pass through the point (0, 4/3). Three units to the left of (0, 4/3) is (-3, 7/3), so the line will also pass through this point.
The second equation is 3x + y = -2. To plot this equation, we can first solve for y:
y = -3x - 2
This equation has a slope of -3 and a y-intercept of -2. So, the line will fall 3 units for every 1 unit it moves to the right. The y-intercept is -2, so the line will pass through the point (0, -2). One unit to the right of (0, -2) is (1, -5), so the line will also pass through this point.
We can check this algebraically. Substituting (0, 2) into the first equation, we get:
0 + 3× 2 = 4
6 ≠ 4
This equation is not true, so (0, 2) is not a solution of the first equation. Substituting (0, 2) into the second equation, we get:
3 × 0 + 2 = -2
2 = -2
This equation is also not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.
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A boy carries a 2 kg bag and walks 8m on a level road to his house. How much work has he done by carrying the bag? a. 4 J b. 16 J c. zero
Answer:
160J
Step-by-step explanation:
I think this is the answer
What 7÷56+3 I'm boreeeddxxxxxxxxx
Answer:
The answer is 3.125.
Answer:
It's 3.125
Step-by-step explanation:
Hope this help lol
Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(-1,5)
(0, 3)
(1, 0)
(2,-1)
Answer:
(-1, 5), (2, -1), (0, 3)
Jacob is asked to simplify the expression-3a+4b+5a+(-7b) -3a+4b+5a+(-7b) = -3a+5a+4b+(-7b) which property is this ?
Answer:
B
Step-by-step explanation:Communative property.
Which equation is represented by the graph below? y=ln x y=ln x+1 y=e^x y=e^x+1
Answer:
y = e^x
Step-by-step explanation:
The fastest way to do this is to use a graphing calc or an online graphing platform and check to see which graph matches the one given.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The graph of the logarithm function approaches the infinity as the value of x approaches zero. So the given graph can not be a logarithm graph.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. And at x = 0, the value of the function is 1.
More about the function link is given below.
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Alexandra and her children went into a movie theater and will buy bags of popcorn
and drinks. She must buy at most 12 bags of popcorn and drinks altogether. Write an
inequality that would represent the possible values for the number of bags of popcorn
purchased, b, and the number of drinks purchased, d.
Answer:
let number of bags of popcorn = b
let number of drinks = d
at most = maximum
b + d ≤ 12
(5•5•5) • (5•5•5•5•5•5)
Answer:
1953125
Step-by-step explanation:
Step 1: Simplify
(5x5x5) x (5x5x5x5x5x5) = [tex]5^3(5^6)[/tex]
Step 2: Combine exponents
[tex]5^3(5^6)[/tex] = [tex]5^9[/tex]
Step 3: Evaluate
[tex]5^9[/tex] = 1953125
Answer:
15750
Step-by-step explanation:
First you calculate the first bracket (it is equal to 125), then you calculate the second bracket (it is equal to 15625), and then you multiply the 2 numbers.
a^2-b^2+4b-4 please solve it step by step i will mark you brainlest
Answer:
b = a + 2 or b = 2 - a
Step-by-step explanation:
Solve for b:
-4 + a^2 + 4 b - b^2 = 0
The left hand side factors into a product with two terms:
(2 + a - b) (-2 + a + b) = 0
Split into two equations:
2 + a - b = 0 or -2 + a + b = 0
Subtract a + 2 from both sides:
-b = -a - 2 or -2 + a + b = 0
Multiply both sides by -1:
b = a + 2 or -2 + a + b = 0
Subtract a - 2 from both sides:
Answer:
b = a + 2 or b = 2 - a
a number between 891 and 909 that is divisible by 10
Answer:
[tex]900[/tex]
Step-by-step explanation:
[tex]892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9[/tex]
I will mark Brainliest this is urgent
Answer:
CD = 7
Step-by-step explanation:
If BC = 7 and ACB ≈ DCE, if you continue the line through BC, you'll see that the rest of it is CD, meaning BC = CD giving you the answer.
Answer:
Solution ⇒ 7
Step-by-step explanation:
Let us list the Given;
[tex]ACB = DCE,\\AC = 5 units,\\BC = 7 units[/tex]
Knowing that Δ ACB ≅ Δ DCE, by CPCTC we can consider the following;
[tex]AC = CD,\\BC = CE,\\AB = DE[/tex]
If we have to find the length of CD, given BD = 7 units;
[tex]CD = 7\\Conclusion, 7[/tex]
Please HELP!!!!!!!!!!!!!!!!!
Answer:
I think it might be the second one or maybe the first one
Step-by-step explanation:
Im not quite sure so dont blame me if its wrong
Multiply the polynomial (12x^4 - 4x^3 + 5) by (-4x^2) *
0 -16x^6 + 8x^5 + 9x12
048x^6 - 16x^6 + 20x^2
048x^6 + 16x^5 + 20x^2
0 -48x^6 + 16x^5 - 20x^2
Answer:
[tex] - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
Option D is the correct option.
Solution,
[tex] - 4 {x}^{2} (12 {x}^{4} - 4 {x}^{3} + 5) \\ = - 4 {x}^{2} \times 12 {x}^{4} + 4 {x}^{2} \times 4 {x}^{3} - 4 {x}^{2} \times 5 \\ = - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Which of the following choices are equivalent to the expression below ? √-27
Answer:
E. 3i√3
Step-by-step explanation:
√-27 is √27 times √-1
√-1 is i, so i√27
√27 = 3√3, and then we have:
3i√3 as our answer
Find the 8th term of geometric sequence 2,-10,50...
Answer:
- 156250
Step-by-step explanation:
Find the ratio of the geometric sequence.
-10/2 = -5
50/-10 = -5
The common ratio is -5.
Apply the formula.
an = ar^(n-1)
Where a is the first term and r is the ratio.
a8 = 2(-5)^(8-1)
a8 = 2(-5)^7
a8 = 2(-71825)
a8 = -156250
Harriet has a square piece of paper she folds it in half to form a rectangle and then folds it in half again the perimeter of the second rectangle is 30cm
Answer:
area of the original square = 144 cm²
Step-by-step explanation:
You didn't include the whole question, but nonetheless this is the answer.
Take care. (:
Answer:
144 cm^2
Step-by-step explanation:
∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.
Answer:
[tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Step-by-step explanation:
Given:
The scale factor = 1.25 and rotated =45°
Length of side =5 units; , 4.2 units; and , 4 units respectively.
As mention in the question the ∆ABC and ∆PQR are similar it means there sides are equal .
Therefore sides of the ∆ PQR is
[tex]= (5*1.25),(4.2*1.25),(4*1.25)\\=6.25, 5.25, 5[/tex]
Hence the length of the ∆PQR is [tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Christine must buy at least $45$ fluid ounces of milk at the store. The store only sells milk in $200$ milliliter bottles. If there are $33.8$ fluid ounces in $1$ liter, then what is the smallest number of bottles that Christine could buy? (You may use a calculator on this problem.)
Answer:
7 bottles
Step-by-step explanation:
Christie needs to buy at least 45 fluid ounces of milk at the store.
33.8 fluid ounces=1 Liter
1 fluid ounce = [tex]\dfrac{1}{33.8}[/tex] Liters
45 fluid ounces = [tex]\dfrac{1}{33.8} \times 45 =1.3313$ Liters[/tex]
Now:
1 Liter =1000 Milliliter
Therefore:
1.3313 Liter= 1000 X 1.3313 Milliliters
1.3313 Liter= 1331.3 Milliliter
Therefore, the smallest number of 200 milliliter bottles Christie must buy is:
[tex]=\dfrac{1331.3}{200}=6.7 \\\approx 7$ bottles[/tex]
Answer:
7
Step-by-step explanation:
Solve for n.
11(n-1) + 35 = 3n
on=3
Answer:
n=-3solution,
[tex]11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
N= -3
Step-by-step explanation:
It makes sense
given that £1=$1..62 what is 650 pounds in dollars
1 pound = 1.62 dollars.
Multiply total pounds by 1.62 for total dollars.
650 x 1.62 = $1,053
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be used to write an expression and then find the number of peanuts that ended up in each bag
Answer:
342/6 = 57
Step-by-step explanation:
Just basic division
15/4 divided by -5/8 equals?
Answer:
-6
Step-by-step explanation:
15/4 ÷ -5/8
Copy dot flip
15/4 * -8/5
Rewrite
15/5 * -8/4
3 * -2
-6
Answer:
-6
Step 1) Do keep change flip if your beginner
After you do that
you get 15/4x-8/5 multiply and simply get -6
What expression is equivalent to x2−x−6?
Answer:
[tex] - x + x 2 - 6[/tex]
that's it hope its helpful
Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41. Given right triangle DEF, what is the value of tan(F)? StartFraction 9 Over 41 EndFraction StartFraction 40 Over 41 EndFraction StartFraction 40 Over 9 EndFraction StartFraction 41 Over 9 EndFraction
Answer:
The correct option is (3) 40/9.
Step-by-step explanation:
Consider the right angled triangle attached below.
The angle FDE is the right angle.
Using the trigonometric identities for right angled triangles compute the tangent of the measure of angle DFE as follows:
tan (DFE) = DE/DF
= 40/9
Thus, the correct option is (3) 40/9.
Answer:
C. 40/9
Step-by-step explanation:
I don’t know how to solve help pls
Answer:
The measure of angle a is 43 degrees.
Step-by-step explanation:
Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.
Answer: 43°
Step-by-step explanation:
The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90
We now have 90 + 47 + a = 180
137 + a = 180
a = 43
The population of Happyland is 15.8 Happys per acre exactly 553 Happys live in Happyland how many acres is Happyland enter only a numerical value in the answer blank
Answer:
35 acres
Step-by-step explanation:
We have 15.8 happys per acre and the we have exactly 553 happys living in happy land.
To calculate the number of acres, we just need to divide the number of happys we have by the number by the number of happys per acre
Mathematically, that would be 553/15.8 = 35 acres
Happyland have 35 acres of Land.
Given to us:
Population of Happyland = 553 Happys
Population of Happyland per acre = 15.8 Happys per acre,
Land with Happyland in acres:
[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}[/tex]
Putting in the value we get,
[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}\\\\\rm {Land with Happyland in acres =\dfrac{553}{15.8}}\\\\\rm {Land with Happyland in acres = 35 acres[/tex]
Hence, Happyland have 35 acres of Land.
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Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain
Answer:
y - x = - 5
Step-by-step explanation:
Applying the rule gives
x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21
y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16
Thus
y - x = 16 - 21 = - 5
how do you write 25 x 10^6 in standard form
Answer:
2.5*10^7
Step-by-step explanation:
Answer:
Brainliest!!!
Step-by-step explanation:
See picture