Answer:
3x 5
Step-by-step explanation:
Answer: 96 ordered pair form : (9, 6)
Step-by-step explanation:
x + y = 15
1x + 1y = 15
-1x
y = 15 - 1x (we did this so that it can be the in y=mx format)
3y = 2x (substitute the y for the solution above)
3 ( 15 - 1x ) = 2x
45 - 3x = 2x
+3x +3x
45 = 5x (divide 5 on both sides)
45/5 = 9 ; x = 9
now go back to the first equation and substitute the x for 9
y = 15 - 1(9)
y = 15 - 9
y = 6
hope this helped :)
Which product is greater 9×15 or 9×17? Explain how you can trll without finding the products.
Need Help Since Schoo is Closed
Answer:
32
Step-by-step explanation:
let a = 5
a² + 7 | Original equation
5² + 7 | Substitution of a as 5
25 + 7 | 5 to the power of 2 is 25, as 5*5 = 25.
32 | 25 + 7 = 32
Answer:
2-2-2
History
The 2-2-2 configuration appears to have been developed by Robert Stephenson and Company in 1834, as an enlargement of their 2-2-0 Planet configuration, offering more stability and a larger firebox. The new type became known as Stephenson's Patentee locomotive.[1] Adler, the first successful locomotive to operate in Germany, was a Patentee supplied by Robert Stephenson and company in component form in December, 1835 was one of the earliest examples. Other examples were exported to the Netherlands, Russia and Italy.[2] By 1838 the 2-2-2 had become the standard passenger design by Robert Stephenson and Company.[3]
Eighteen of the first nineteen locomotives ordered by Isambard Kingdom Brunel for the opening of the Great Western Railway in 1837/8 were of the 2-2-2 type.[4] These included six 2-2-2 locomotives built by Charles Tayleur at his Vulcan Foundry. Also in 1837 the successful North Star broad gauge locomotive was delivered to the Great Western Railway by Stephenson, becoming the first of a class of twelve locomotives by 1841.
Great Western Railway North Star at Swindon
Later UK developments
Sharp, Roberts and Company constructed more than 600 2-2-2 locomotives between 1837 and 1857. Ten of these supplied to the Grand Junction Railway became the basis of Alexander Allan's successful designs for the railway from 1845 (the first of which, formerly named Columbine, is preserved). J. & G. Rennie supplied 2-2-2 locomotives to the London and Croydon Railway from 1838 and the London and Brighton Railway in 1840.[5] Arend ("eagle") was one of the two first steam locomotives in the Netherlands, built by R. B. Longridge and Company of Bedlington, Northumberland in 1839.
The Great Western Railway continued to order both broad gauge and standard gauge locomotives on the railway, including the Firefly and Sun classes (1840–42), which were enlarged versions of North Star. Bury, Curtis, and Kennedy supplied six 2-2-2 locomotives to the Bristol and Gloucester Railway in 1844, and fourteen to the Great Southern and Western Railway in Ireland in 1848, (the last of these has been preserved at Cork Kent railway station.
The original "Jenny Lind" locomotive, 1847.
The Jenny Lind locomotive, designed by David Joy and built in 1847 for the London Brighton and South Coast Railway by the E.B.Wilson and Company of Leeds, became the basis of hundreds of similar passenger locomotives built during the 1840s and 1850s by this and other manufacturers for UK railways. The London & North Western Railway Cornwall locomotive was designed at Crewe Works as a 4-2-2 by Francis Trevithick in 1847, but was rebuilt as a 2-2-2 in 1858.
Although by the 1860s the 2-2-2 configuration was beginning to be superseded by the 2-4-0 type with better adhesion, the invention of steam sanding gave 2-2-2 singles a new lease of life, and they continued to be built until the 1890s. Notable late examples include William Stroudley's singles of 1874-1880, William Dean's 157 class of 1878-79,[6] and his 3001 class (1891–92),[7][8] both for the Great Western Railway. James Holden of the Great Eastern Railway created some 2-2-2 singles in 1889 by removing the coupling rod from a 2-4-0.
Belgium
Replica of 'Le Belge' 1835
The first steam railway locomotive built in Belgium in 1835, and was built by John Cockerill under license to a design by Robert Stephenson & Co. It was built for use on the first main line on the European mainland, the Brussels-Mechelen line.[9] A replica was built at the workshops of Boissellerie Cognaut for the 150th anniversary of the formation of Belgium.[10]
Italy
Two 2-2-2 locomotives were imported from Longridge and Co of Bedlington Ironworks England for the Naples–Portici railway in 1839 named Bayard and Vesuvio. A replica of 'Bayard is at the Naples Railway Museum.[11]
Germany
Most of the earliest locomotives to operate in what is now Germany before the mid-1840s were 2-2-2s delivered by UK manufacturers. However, by 1839 the type was also being built locally see List of Bavarian locomotives and railbuses. The Pegasus of 1839 was the first locomotive to be built by the Sächsische Maschinenbau-Compagnie in Chemnitz. August Borsig and Company manufactured Beuth in 1843 which was highly successful; its valve design became de facto standard for locomotives for decades to come.[12] By 1846 he had manufactured more than a hundred similar locomotives. Both the Leipzig-Dresden Railway and Royal Bavarian State Railways (Königlich Bayerische Staatsbahn) built several 2-2-2 classes 1841-1859. Similarly, the Grand Duchy of Mecklenburg Friedrich-Franz Railway grouped various 2-2-2 steam locomotives procured from German manufacturers between 1848 and 1863 into its Mecklenburg I class.
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
A. When x = 3, both expressions have a value of 30.
B. When x = 5, both expressions have a value of 42.
C.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
D.When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.
Answer:
A. When x = 3, both expressions have a value of 30.
Step-by-step explanation:
The first expression is 4(x+3)+2x
The second expression is 6(x+2).
When we substitute x=3 into the first equation, we get:
[tex]4(3 + 3) + 2(3) = 4 \times 6 + 6 = 24 + 6 = 30[/tex]
When we substitute x=3 into the second expression we get:
[tex]6(3 + 2) = 6(5) = 30[/tex]
This proves that the two expressions are equivalent.
The correct choice is A
Answer: A
Step-by-step explanation:
Hope this helps can i have brainly-est please
Determine all the zeros of m(x) = x² - 4x + 3 , algebraically
The values of the zero are 1 and 3 if the quadratic function is m(x) = x² - 4x + 3 after solving algebraically.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have quadratic function:
m(x) = x² -4x + 3
m(x) = x² -x - 3x + 3
m(x) = x(x -1) -3(x - 1)
m(x) = (x - 1)(x - 3)
x -1 = 0 or x -3 = 0
x = 1 or x = 3
Thus, the values of the zero are 1 and 3 if the quadratic function is m(x) = x² - 4x + 3 after solving algebraically.
Learn more about quadratic equations here:
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The zeros of the quadratic function m(x) = x² - 4x + 3 are found using the quadratic formula, yielding two solutions, x = 1 and x = 3.
To find the zeros of the quadratic function m(x) = x² - 4x + 3, we first note that it is already in standard form, with a = 1, b = -4, and c = 3. The quadratic formula, which states if ax² + bx + c = 0, then x = (-b ± √(b² - 4ac)) / (2a), can be used to find the solutions. Substituting the values, we get:
x = (4 ± √((-4)² - 4(1)(3))) / 2(1)
x = (4 ± √(16 - 12)) / 2
x = (4 ± √4) / 2
x = (4 ± 2) / 2
This results in two solutions:
x = (4 + 2) / 2 = 6 / 2 = 3
x = (4 - 2) / 2 = 2 / 2 = 1
Therefore, the zeros of the function m(x) are 1 and 3.
What is the next number and why ? 1,3,11,35,99,_
Answer: 241
Step-by-step explanation:
This is a simple problem when using Pascal's triangle. First you look at 1 - 3, what is the difference in these 2 numbers? Its 2, then you look at 3 and 11, the difference is 8, then 11 and 35, the difference is 24. If you keep doing this you get; 2 8 24 64 142. Next you find out how these numbers are different. In the end you keep doing this until you get to the triangles point or the differences converge.
1 3 11 35 99 241
2 8 24 64 142
6 16 40 78
10 24 38
14 14
In the end we get 14 but there is no difference in the numbers so we cant go any farther. Hope this helps!
what is the simple interest , help asap . thank you .
$ 850 , 4% , 6 months
Answer:
I = 2.04.
Step-by-step explanation:
From the question we are asked that what is the simple interest ,
$ 850 , 4% , 6 months
using the formula
simple interest = prt/100
I = interest
P= principal
R = rate.
our P = $850
R = 4% = 4/100 = 0.04
T = 6months
I = (850 × 0.04 × 6)/ 100
I = 204/100
I = 2.04.
Which relation is not a function?
[tex]y = \pm\sqrt{x}[/tex]
==================================================
Explanation:
The plus/minus indicates we have two equations, and they are
[tex]y = \sqrt{x} \text{ or } y = -\sqrt{x}[/tex]
If x is say x = 4, then y is both y = 2 and y = -2 at the same time.
A function is where any x input leads to exactly one and only one y output (assuming the x value is in the domain). Graphing out choice D shows that it fails the vertical line test. This is where a vertical line crosses through more than one point on the graph. For the other answer choices, it is impossible to draw a vertical line through more than one point on the graph, which visually shows they are functions.
after 4 hours a total of 1 inch of rain had fallen write the equation for the relationship between x and y
Answer:
[tex]y=\frac{1}{4}x[/tex] [tex]x=4y[/tex]
Step-by-step explanation:
Assuming
y = inches of rain
x = hours (The x latitude is usually used for time)
Find the missing side
Answer:
7
Step-by-step explanation:
1: 6 X _ = 18
2: 18/6 = 3
3: 21/3 = 7
If twice a number, n, is 5 less than the number squared, which of the following equations could be used to properly solve for n?
Answer:
2n - 5 = n^2 (or n squared)
The equation that could be used to properly solve for n is [tex]n^2 - 2n - 5 = 0[/tex]
Mathematical equationsTo properly solve for the number, n, based on the given information, you can use the equation:
[tex]2n = n^2 - 5[/tex]
This equation represents the statement "Twice a number, n, is 5 less than the number squared." It sets the twice of the number (2n) equal to the number squared minus 5 (n^2 - 5).
To solve for n, you can rearrange the equation as follows:
[tex]n^2 - 2n - 5 = 0[/tex]
You can then solve this quadratic equation for n using methods such as factoring, completing the square, or the quadratic formula.
More on mathematical equations can be found here: https://brainly.com/question/29514785
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Use the distributive property to solve : 20 (30 - 15) =
Answer:
the distribute property is basically taking the number outside the parenthesis and multiplying with the numbers inside each by each.
Step-by-step explanation:
20(30-15)
20×30= 600, and 20×15=300
finally you just use the new numbers and solve the solution which is 600-300. The answer is 300
Answer: 300
Step-by-step explanation: The distributive property tells us that when there's a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.
So in this problem, we can multiply 20 (30) - 20 (15) which simplifies to 600 - 300 which is 300.
jenna brought a spool of ribbon that was 5 3/4 meters long. she used 3 1/4 meters of ribbon for a craft project. how many meters of ribbon does jenna have left?
Answer:
So the answer will be 2 2/4
Step-by-step explanation:
If you need me to explain more please tell me.Hope it helps.
Jenna is left with 2 1/2 meters of ribbon for future projects.
Jenna bought a spool of ribbon that was 5 3/4 meters long and used 3 1/4 meters of it for a craft project. To calculate how much ribbon she has left, we need to subtract the length of the ribbon used from the total length of the ribbon.
Convert mixed numbers into improper fractions: 5 3/4 = (5 × 4) + 3 = 23/4 and 3 1/4 = (3 × 4) + 1 = 13/4.
Subtract the second fraction from the first: 23/4 - 13/4 = (23 - 13)/4 = 10/4.
Simplify the result: 10/4 = 2 2/4 = 2 1/2 meters.
What is the solution to the inequality 4(x + 2) + 12 > 100
Which graph shows the solution to the system of linear inequalities below? y>2x+1 y<2x-3
Option D: Graph C is the solution to the system of linear inequalities.
Explanation:
The system of linear inequalities are [tex]y \geq 2 x+1[/tex] and [tex]y<-2 x-3[/tex]
Let us graph the inequality [tex]y \geq 2 x+1[/tex]
Let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y \geq 2 x+1[/tex], we get,
[tex]0 \geq 2 (0)+1[/tex]
[tex]0 \geq1[/tex]
This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]
Thus, let us shade the upper part of the line in the graph.
Similarly, let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y<-2 x-3[/tex], we get,
[tex]0<-2 (0)-3[/tex]
[tex]0<-3[/tex]
This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]
Thus, let us shade the lower part of the line in the graph.
The solution to the system of linear inequality is the intersection of the two regions.
Thus, the solution of the inequality is Graph C.
Hence, Option D is the correct answer.
please help...its for Delta math. will mark brainliest and I will be ur friend♥
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If [tex]x= 10,[/tex] [tex]y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.[/tex]
If [tex]x=11,[/tex][tex]y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.[/tex]
So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change [tex]= \frac{y(x=11) - y(x=10)}{y(x=10)}.[/tex]
Substituting the values, we get
The percentage rate of change [tex]=\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%[/tex].
As the values of y decrease with an increase in x, it is the percent decrease per unit.
Answer:
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Because your Beautiful
What is the value of X?
x = 32
x = 36
II 111111
x = 37
(x + 15)
(4x - 20°
x = 40
Answer:
Option D, x = 40
Step-by-step explanation:
Since x and (4x - 20) are supplementary, that means they add up to 180 degrees.
Step 1: Make an equation
x + (4x - 20) = 180
Step 2: Combine like terms
x + 4x - 20 = 180
5x - 20 = 180
Step 3: Add 20 to both sides
5x - 20 + 20 = 180 + 20
5x = 200
Step 4: Divide both sides by 5
5x / 5 = 200 / 5
x = 40
Answer: Option D, x = 40
–2(g − 13) + 15 = 1
how do you do this
Answer:
3bzycukznwvy knsheuje6d9qk3vhdurkgyvuf6dyguts bl es yvhuv
Answer:
g = 20
Step-by-step explanation:
−2 (g − 13) + 15 = 1
Step 1: Simplify both sides of the equation.
−2 (g−13) + 15 = 1
(−2) (g) + (−2) (−13) + 15 = 1 (Distribute)
−2g + 26 + 15 = 1
(−2g) + (26 + 15) = 1 (Combine Like Terms)
−2g + 41 = 1
−2g + 41 = 1
Step 2: Subtract 41 from both sides.
−2g + 41 − 41 = 1 − 41
−2g = −40
Step 3: Divide both sides by -2.
−2g/−2 = −40/−2
g = 20
The measure of an angle is 39°. What is the measure of its complementary angle?
Answer:
51
Step-by-step explanation:
Answer:
51°
Step-by-step explanation:
90 - 39 = 51
Trish made a few pans of Brownies to sell. Rachel also contributed 5 pans. Each pan of brownies was cut into 12 squares. If there were a total of 84 brownies, how many pans of brownies did Trish make.
Answer: 2 pans of brownies
Step-by-step explanation: ( i'm over 2 years late lol ) i drawed it because i'm lazy first draw rachels 5 pans ( just draw circles ) fill each circle up with 12 squares count them ( 60 ) now u need 24 more now on another piece of paper draw 2 circles and this is trish's side now fill each pan with 12 brownies trishs side has 24 brownies so....
|
trish | rachel
24 + 60 = 84
trish has 2 pans overall
I’m at so confused !!
Answer:
hope it helps you see the attachment for further information
What is the inverse of y=(x-6)^2 +2 ?
Answer:
Step-by-step explanation:
Answer:
x=√y+2 + 6
Step-by-step explanation:
y=(x-6)^2+2
Substrate 2 from both sides
y-2=(x-6)^2
Square root both sides
√y-6=x-6
Add 6 to both sides
√y-6 +6= x
Therefore,x=√y-6 + 6
miss Matthews received 2 3/8 pounds of chocolate for her birthday she then received 1 7/8 for Valentine’s Day how many pounds of chocolate did she receive
chords ac and bd intercept at e if ae=6 ec=12 and dc=18 how long is be
Option A:
The length of BE is 4.
Solution:
Given data:
AE = 6, EC = 12 and DE = 18
To find the length of BE:
If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.
⇒ AE × EC = DE × BE
⇒ 6 × 12 = 18 × BE
⇒ 72 = 18 × BE
Divide by 18 on both sides of the equation.
⇒ 4 = BE
Switch the sides.
⇒ BE = 4
The length of BE is 4.
Option A is the correct answer.
Please answer ASAP!! Consistently wash your hands for 1 minute.
Each peach costs $0.56 and the equations used to solve that is [tex]4x= 2.24[/tex] where x is the cost of 1 peach.
Step-by-step explanation:
Step 1:
It is given that all the peaches weigh the same and that 4 peaches weigh 1 pound.
Assume that each peach costs x.
So the cost for 4 peaches is given by [tex]4x.[/tex]
Step 2:
The cost of 1 pound of peaches is given as $2.24.
1 pound of peaches[tex]=4x.[/tex]
So [tex]4x= 2.24, x = \frac{2.24}{4}.[/tex]
[tex]x = 0.56.[/tex]
So each peach costs $0.56.
Identify the numerical coefficient.
5b^6
Answer:
5
Step-by-step explanation:
Cassie bought A new sweater at the mall. its original price was $60, but there was a 10% discount. how much did gossipy for this weather
Answer: $54
Step-by-step explanation:
Original price = $60
10% discount= 10/100 × 60
= 0.01 × 60 = $6
Amount cassie paid for the sweater is original price - discount
=$60 - 6
= $54
I hope this helps
Answer:
54$
Step-by-step explanation:
H(y)=9/5 • 2y at y=-2
Answer:
[tex]H( - 2) = - 7 \frac{1}{5} [/tex]
Step-by-step explanation:
We want to evaluate the equation
[tex]H(y) = \frac{9}{5} \times 2y[/tex]
at y=-2
We just have to substitute to obtain;
[tex]H( - 2) = \frac{9}{5} \times 2 \times - 2[/tex]
We now multiply to get:
[tex]H( - 2) = \frac{9}{5} \times - 4[/tex]
This is the same as:
[tex]H( - 2) = \frac{9}{5} \times \frac{ - 4}{1} [/tex]
We multiply the numerators separately and denominators separately to get:
[tex]H( - 2) = \frac{9 \times - 4}{5 \times 1} [/tex]
[tex]H( - 2) = \frac{ - 36}{5} [/tex]
This implies that
[tex]H( - 2) = - 7 \frac{1}{5} [/tex]
Which of the following provides the best description of the function of genes?
A. Ridding individual cells of waste products.
B. Relaying information from the environment.
C. Producing energy through cellular respiration.
D. Controlling the production of specific proteins.
Answer: A
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Genes are our genetic makeup. The way we look, act, talk etc. The way they work is to make protiens for our DNA, as in produce "specific" proteins for ourself.
a line passes through the points -3 -4 and 6 2 what is the Y intercept of this line? -3 -2 2 or 3
Answer:
y=-2
Step-by-step explanation:
Hello : let A(-3,-4) B(6,2)
the slope is : (YB - YA)/(XB -XA)
(2+4)/(6+3) = 6/9 = 2/3
an equation is the line is : y = ax+b a is a slope
y = (2/3)x+b
but this line passes by (6;2)
so : 2 = (2/3)(6)+b
b = -2
the equation is : y = (2/3)x-2
the the Y intercept of this line when : x= 0 so : y = (2/3)(0)-2
y=-2
A daycare made $40 during their first month in business. They doubled the amount of money they earned each month. What is the total amount of money they earned after a year? $4096 $81,900 $163,800 $81,920
please give answer and way you found it im trying to learn but the way my teacher explained it doesn't make sense
Answer:
$81,920
Step-by-step explanation:
money made by january: $40
double that
money made by february: $80
double that
money made by march: $160
double that
money made by april: $320
double that
money made by may: $640
double that
money made by june: $1,280
double that
money made by july: $2,560
double that
money made by august: $5,120
double that
money made by september: $10,240
double that
money made by october: $20,480
double that
money made by november: $40,960
double that
money made by december: $81,920
the total money they made by the end of the year (december) was $81,920
Answer:
$163,800
Step-by-step explanation:
40, 80, 160, 320...
It's a geometric progression
With first term = 40
Common ratio = 80/40 = 2
After 1 year is 12 months
Find S12.
S12 = 40(2¹² - 1)/(2 -1)
= 163800