Answer:
B
Step-by-step explanation:
The system of the equation that has only one solution is; 5x-4y=8 and 3x+2y=8.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have to determine;
Which system of equations has only one solution
As per the question, a system of linear equations can have one solution if there is only one point that makes every equation in the system true. It implies that there is one point that can satisfy all of the equations at the same time.
The system of equations has only one solution is;
5x-4y=8
3x+2y=8
from equation 1
5x-4y=8
5x=8+4y
[tex]x=\frac{8+4y}{5}[/tex]
Putting the value of x in equation 2
3x+2y=8
[tex]3(\frac{8+4y}{5})+2y=8[/tex]
[tex](\frac{24+12y}{5})+2y=8[/tex]
24+12y+10y=[tex]5*8[/tex]
24+22y=40
22y=40-24
22y=16
y=[tex]\frac{16}{22}[/tex]
y=[tex]\frac{8}{11}[/tex]
Putting the value of b in equation 1,
3x+2y=8
3x+2[tex]\frac{8}{11}[/tex]=8
3x=8-[tex]\frac{16}{11}[/tex]
3x=[tex]\frac{88-6}{11}[/tex]
[tex]x=\frac{82}{33}[/tex]
Therefore, the system of equation which has exactly one solution are;
5x-4y=8 and 3x+2y=8.
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Question 8 of 9
HELP PLEASE!!Translate the phrase into a variable expression. Use the letter c to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division
the product of 16 and the number of chipmunks...
Answer here
SUBMIT
The algebraic expression of the statement is 16c
How to rewrite the statement?The statement is given as:
the product of 16 and the number of chipmunks
Product means *
So, we have:
16 * the number of chipmunks
The number of chipmunks is represented with c
So, we have
16 * c
Evaluate
16c
Hence, the algebraic expression of the statement is 16c
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Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A. 4m + 3
B. 3m + 4
C. 3m – 4
D. 4m – 3
The turning of a figure or object about a fixed point is called:
So you want to finance a car for $4,840. Let’s say we offer you a 4.5% interest rate on a 2-year loan and 6% on a 5-year loan. Enter this info into the calculator to see your monthly and total cost by loan term.
Answer:
Totals: 4.5% = 435$ 6% = 1452$, Monthly: 18$, 24$
Step-by-step explanation:
distance parcouru par une balle de famas
Answer:
4005 mètres de distance.
Step-by-step explanation:
Dividing Rational Expressions
Answer:
[tex] \frac{6}{(x + 2)} [/tex]
Step-by-step explanation:
[tex] \frac{2x + 2}{x + 2} \div \frac{4 {x}^{2} +8 x + 4}{12x + 12} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{4( {x}^{2} + 2x + 1) }{12(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{( x + 1)^{2} }{3(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \times \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{6 {(x + 1)}^{2} }{(x + 2) {(x + 1)}^{2} } \\ \\ = \frac{6}{(x + 2)} [/tex]
Can someone help me plz ASAP
Answer:
x=35
Step-by-step explanation:
simple equstion x+40+3x=180 then subtract forty combine the two X's and divide by 180
Help pls!?right answer I’ll give you a crown
Answer:
1.5
Step-by-step explanation:
Evaluate f(x) = x2 – 12 when x = 5
Answer:
f(5) = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function notation and substitutionStep-by-step explanation:
Step 1: Define
f(x) = x² - 12
x = 5
Step 2: Evaluate
Substitute: f(5) = 5² - 12Exponents: f(5) = 25 - 12Subtract: f(5) = 13Answer:
13
Step-by-step explanation:
replace the x with 5.
5^2-12=
25-12=13
Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?
The probability of getting 3 in 132 times is 22.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Paul rolls a fair dice 132 times.
The probability of getting 3 in one roll is 1/6
so now it is 132 rolls
so,
= 132/6
= 22
Hence, The probability of getting 3 in 132 times is 22
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Find the slope of the line: i’ll give brainliest :)
picture above ^^
solving 2 step equations k/9 -1=10
Answer:
99
Step-by-step explanation:
k/9=10+1
k/9*9=11*9(cancel division 9 to multiplication 9)
k=99
Which decimal is the largest?
A.0.02
B. 0.2
C. 0.19
D. 0.029
HURRRYYYYYYY
Answer:
It's B!
Step-by-step explanation:
A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
8 mi
5 mi
2000 ft
Note: Figure is not drawn to scale.
What is the elevation in feet of the road 5 miles from the starting point?
A. 1000
B. 1250
C. 750
D. 1500
Answer:
I think the answer is 1500
Step-by-step explanation:
Elevation of the road at 5 miles from the starting point is 1250 ft.
Similarity of triangles: If two triangles are similar, their corresponding sides will be proportional.
Given in the question,
Two triangles formed by a road are ΔADE and ΔABC (As shown in the figure attached).
Since, ∠A ≅ ∠A (Reflexive property)
∠AED ≅ ∠ACB (right angles)
ΔADE ~ ΔABC (By A-A property of similarity)
In these similar triangles, corresponding sides will be proportional.
[tex]\frac{AB}{BC}=\frac{AD}{DE}[/tex]
[tex]\frac{8}{2000}=\frac{5}{DE}[/tex]
[tex]DE=\frac{5\times 2000}{8}[/tex]
[tex]=1250[/tex] miles
Therefore, elevation of the road at 5 miles from the starting point will be 1250 ft.
Option (B) will be the answer.
Learn more about the similarity of the triangles here,
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Simplify the following expression. (K + 8)(3k^2 - 5k + 7)
Answer:
3k^3+19k^2-33k+56Step-by-step explanation:
3k^3-5k^2+7k+24k^2-40k+56
3k^3+19k^2-33k+56
How do you write 199.4% as a decimal?
Answer:
1.994
Step-by-step explanation:
"Percent" means "per 100" or "over 100". To convert 199.4% to a decimal rewrite 199.4 percent in terms of per 100 or over 100.
199.4% = 199.4 over 100 or,
199.4%=199.4100
199.4 over 100 is the same as 199.4 divided by 100. Completing the division we get:
199.4 ÷ 100 = 1.994
Therefore, we have shown that
199.4% = 1.994
Simplified Conversion:
Remove the percent sign % and divide by 100.
199.4 ÷ 100 = 1.994
Shortcut Conversion:
Move the decimal point 2 places to the left and remove the percent sign %
199.4% becomes 1.994
Answer:
1.99400
I hope this helps!
write a translation rule that maps point d(7 -3) onto point d'(2 5)
Answer:
translate (x,y) (x-5,y+8)
Determine type of triangle
Answer:
isosceles right
Step-by-step explanation:
two same side and right angle
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
It is isosceles right triangle as two sides have same meausurement and right angle because 1 angle is 90 degrees
PLEASE HELP W MATH QUESTION !!!
( WILL MARK BRANLIEST )
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 5, - 1 ] , thus
f(b) = f(- 1) = - (- 1)² - 4(- 1) + 6 = - 1 + 4 + 6 = 9
f(a) = f(- 5) = - (- 5)² - 4(- 5) + 6 = - 25 + 20 + 6 = 1 , then
average rate of change = [tex]\frac{9-1}{- 1-(-5)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
help with this slope
Answer:
slope is 4
Step-by-step explanation:
rise over run lol
If a sweatshirt is on sale for 35% and now costs $52,
what was the original price?
Answer:
The original price of the sweatshirt is $80.
Step-by-step explanation:
If a product is on sale for a 35% discount, then it is 65% of the original price ( because 100 - 35 = 65)
So set up a proportion,
((part)/(whole)) = ((x)/(100))
In the given information, we know that the part (the amount paid) is 52$, what we need to find is the whole. To make solving the problem easier, let's call the whole x.
((52)/(x)) = ((65)/(100))
Simplify,
52/x = 13/20
Cross multiply,
1040 = 13x
Inverse operations,
1040 = 13x
/13 /13
80 = x
So the original price of the sweatshirt is $80.
Math Problem will give brainliest! If you say something random i will get you banned.
Answer: I can’t figure this one out because I’m only in 8th grade.
Step-by-step explanation:
Answer:wh0re
Step-by-step explanation:
MATH HELP PLEASEE!! MARKING BRANLISTT! D:
Answer:
the one with the empty circle
brainliest.pls
Answer:
open circle going to the left so your answer is B
The points in the table lie on a line. What is the slope of the line?
X
-8
-2
4
10
у
8
1
1
-6
-13
The slope of the line is
24
Two linear functions are shown. Which function has the greater initial value?
Answer:
The answer is Function A
Step-by-step explanation:
Trust me its correct
pls mark me as brainliest
Answer:
we conclude that function A has a greater initial value.
Step-by-step explanation:
As we know that the initial value is obtained by setting x=0
so
Given the function A
From function A, it is clear that at point x=0, the value of y=8
i.e.
at x=0, y=8
Given the function B
[tex]y=3x+4[/tex]
substitute the value x=0 to get the initial value of function B
[tex]y=3x+4[/tex]
[tex]y=3(0)+4[/tex]
[tex]y=0+4[/tex]
[tex]y=4[/tex]
i.e.
at x=0, y=4
Therefore, we conclude that function A has a greater initial value.
Graph the line.
y=-4x+4
Graph the line.
y=-4x+4
Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4
Ace plays please help me with it...
Answer:
[tex]a=\sqrt{55}[/tex] or [tex]7.146[/tex]
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
Which statement correctly compares the function shown on this graph with the function y= 6x - 1? y 10 8 6 4 2 -10 8 6 4 2 -2 2 4 6 8 10 2 6
A. The function shown on the graph has a greater rate of change and a higher starting point. A
B. The function shown on the graph has a smaller rate of change and a lower starting point.
C. The function shown on the graph has a smaller rate of change, but a higher starting point.
D. The function shown on the graph has a greater rate of change and a lower starting point.
Answer:
B. The function shown on the graph has a smaller rate of change and a lower starting point.
Step-by-step explanation:
✍️The function y = 6x - 1, has:
slope (m) = 6, and
Starting point/y-intercept (b) = -1
✍️Let's find the slope (m) and the starting point (y-intercept) of the function shown on the graph:
Using the points, (0, -6) and (2, 4),
Slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -(-6)}{2 - 0} = \frac{10}{2} = 5 [/tex]
Slope (m) = 5
The strating value is the value of y when x = 0. In order words, it is the point at which the line of the function intercepts the y-axis.
The y-axis is intercepted at y = -6.
Therefore, the starting value (b) = -6.
Therefore, the statement correctly compares the function shown on the graph above with the function y = 6x - 1 is:
B. The function shown on the graph has a smaller rate of change and a lower starting point.
Comparing their slopes, 5 is smaller than 6.
Comparing their starting points, -6 is lower than -1.
Answer:
B
Step-by-step explanation:
Correct on a p e x
Which of the following inequalities matches the graph?
A. 6x+y<3
B. -6x+y<3
C. 6x-y<-3
D. the correct inequality is not listed
Answer:
c
Step-by-step explanation:
Answer:
C. 6x - y < -3Step-by-step explanation:
The graphed inequality shows that:
The function is increasing, so it has a positive slope, shaded region is to the left of the dashed line, so it should have > sign after y.Above information lets us build the inequality:
y > ax + b, where a> 0Now lets verify the options:
A. 6x + y < 3 ⇒ y < -6x + 3
NoB. -6x + y < 3 ⇒ y < 6x + 3
NoC. 6x - y < - 3 ⇒ y > 6x + 3
YesD. Not applicable
5/4 ÷ 10 = ?
(hhhhhh... ignore this part, reaching the minimum amount of characters)