The population growth of two towns over a period of five years is represented by the system of equations below, both algebraically and graphically D IS (10,4) it didn’t show up so
Answer:
(4, 10)
Step-by-step explanation:
Hope this helps
The solution to the system of equations is the ordered pair in option B. (4, 10).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Population growth of two towns over a period of five years is represented by the system of equations :
y = x + 6
y = 2x + 2
Here y represents the population growth and x represents the number of years.
Solution of the system of equations is the point where the graph of both equations intersect.
Intersecting point is (4, 10).
Algebraically, we can solve this as,
We have y = x + 6 and y = 2x + 2.
x + 6 = 2x + 2
x - 2x = 2 - 6
x = 4
y = x + 6 = 4 + 6 = 10
So (x, y) = (4, 10)
Hence the solution to the system of equations y = x + 6 and y = 2x + 2 is the point (4, 10).
Learn more about Linear Equations here :
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On average, 15% of the patients a certain emergency room receives are uninsured. Let N be the number of patients the emergency room receives until it receives the first uninsured patient of the day. Assume the insurance status of the patients is independent. Find the probability that it takes at least 6 patients until the emergency room receives the first uninsured patient. You may round your answer to the nearest hundredth.
Answer: 0.44
Step-by-step explanation:
Find the measure of angle a
Answer:
angle A = 47°
angle B= 48°
Step-by-step explanation:
4x+ 4x+ 4+3+85=180°
8x+92=180°
8x= 180-92
8x= 88°
x= 11°
angle A = 4(11)+3= 47°
angle B = 4(11)+4= 48°
aljabra.
[tex]x \div 12 - 3x - 1 \div 8 = 1[/tex]
Answer: -27/70
Step-by-step explanation:
x ÷ 12 − 3x − 1 ÷ 8 = 1
Simplify x ÷ 12 − 3x − 1 ÷ 8.
Rewrite the division as a fraction.
x /12 − 3x − 1 ÷ 8 = 1
Rewrite the division as a fraction.
x/12− 3x − 1/8 = 1
To write −3x as a fraction with a common denominator, multiply by 12/ 12
x/12− 3x ⋅ 12/12 − 1/8 = 1
Simplify terms.
Combine −3x and 12/12
x /12−3x ⋅ 12/12 − 1/8 = 1
Combine the numerators over the common denominator.
(x − 3x ⋅ 12/12) − (1/8) = 1
Simplify the numerator.
(x ⋅ −35/12) -(1/1) = 1
Move −35 to the left of x.
−(35 ⋅ x/12) -(1 /8) = 1
Move the negative in front of the fraction.
-(35x/12) −(1/8) = 1
Move all terms not containing x to the right side of the equation.
Add 1/8 to both sides of the equation.
-(35x/12) = 1 + (1/8)
Write 1 as a fraction with a common denominator.
-( 35x /12) = 8/8 + 1 /8
Combine the numerators over the common denominator.
-( 35x /12) = 8+1/8
Add 8 and 1.
-( 35x /12) = 9/8
Multiply both sides of the equation by − 12/35
-( 12 /35) ⋅ (− 35x /12 ) = − 12/35 ⋅ 9/8
Simplify both sides of the equation.
Simplify -( 12 /35) ⋅ (− 35x /12 )
Cancel the common factor of 12.
−1/35⋅ (−35x) = − 12/35 ⋅ 9/8
Cancel the common factor of 35.
−1 ⋅ (−x) = − 12/35 ⋅ 9/8
Multiply −1 by −1.
1 ⋅ x = − 12/35 ⋅ 9/8
Multiply x by 1.
x = − 12/35 ⋅ 9/8
Simplify − 12 /35 ⋅ 9/8
Cancel the common factor of 4.
x = −3/35 ⋅ 9 /2
Multiply −3/35 and 9/2 .
x= (−3 ⋅ 9)/( 35 ⋅ 2 )
Simplify the expression.
Multiply −3 by 9.
x = -27/(35 ⋅ 2)
Multiply 35 by 2.
x= -27/70
The result can be shown in multiple forms.
Exact Form: x= -27/70
Decimal Form: x = −0.3857142...
Which relation is a function?
o {(-4,5), (0, 2), (2,5)}
o {(2,5), (2, 6), (2, 7)}
O {(3, 2), (5, 7), (3,-2)}
O {(4,3), (4,4),(4,5)}
Answer:
Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!
Step-by-step explanation:
~To find a function look at the x values, if the x values don't repeat then it is a function~
Which expression is equivalent to 5/2 (2x+1)
Answer: 5x + 5/2
Step-by-step explanation:
-2(2x) simplified please
Answer:
-4x
Step-by-step explanation:
Answer:
-4x
Step-by-step explanation:
What is the length of the altitude of the equilateral triangle below?
Answer:
Step-by-step explanation:
It would be helpful if you could share the diagram of the equilateral triangle.
All 3 sides are equal, as are all 3 angles.
The altitude is perpendicular to the base. The altitude, h, is equal to
h = s*( (√3) / 2, where s is the length of one side of the triangle.
the perimeter of a rectangle is 36 feet. the length is 2 less than 3 times the width. what is the length? what is the width?
Answer:
The width is 102
Step-by-step explanation:
Hope this helps! :)
The recipe has a ratio of 3 cups of sugar to 5 cups of flour. What is the unit rate of sugar to flour?
Answer:
3over 5
Step-by-step explanation:
lol its that simple
Answer:
zvck zvmv
Step-by-step explanation:
A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall, as shown below.
What is the closest distance from the top of the ladder to the base of the wall?
Answer:
we will do this lesson in our class day after tomorrow
Step-by-step explanation:
well I don't know the answer
(2,-8) and (4,-6) does anyone know the slope of that?
Answer:
1/1
Step-by-step explanation:
to find the slope of two ordered pairs you're supposed to use this formula-
Y2-Y1/X2-X1
which is
(-6)-(-8)/4-2
which simplifies to...
2/2
which is just 1/1 or 1.
Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1
Answer:
-5x+4
Remainder: x^2+5x-3
Step-by-step explanation:
I hope this is helpful
Noah bought 15 baseball cards for $9. At this rate, what is the cost of 1 baseball card?
Answer:
$0.60
Step-by-step explanation:
9 divided by 15 = 0.6 so that would be $0.60, if you want to check if it's accurate then do 0.60x15 and you get 9
Write an inequality to represent the graph.
y ≥ 2x + 4
y > 2x + 4
y 4x + 2
Answer:
y ≥ 2x + 4
Step-by-step explanation:
Q
+
O
Write the equation of an absolute
value function that is reflected
across the x-axis, shifted 5 units to
the left, and vertically stretched by
7.
Answer:
Q + O equals œ
Step-by-step explanation:
The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. Find the length of the other leg.
a.12 √5 cm
b.✓ 10 cm
c.20 cm
Use the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 15^2 = 25^2
a^2 + 225 = 625
a^2 = 400
a = 20
Answer: 20 cm
Hope this helps!!
/////////////////////////////////////////////////////////////////////////////////////////////////////////////
Ellas __________ una familia grande.
Your answer:
tiene
tenemos
tienes
tienen
please help
Answer:
Tienen
Step-by-step explanation:
I don't know how to explain it whatsover but Ellos/Ellas/Ustedes end with an en
Can someone Plz help me on this........
Answer:
1) a≥−2.5
2) n<1.2
3) b≥−0.8
4) false,
5) r≤0.1
6) y≤0.8
Step-by-step explanation:
1) Divide both sides by -3.2.
−3.2a/-3.2 ≤ 8/-3.2
2) Flip the equation
- n+0.8<2
Subtract 0.8 from the sides
n+0.8−0.8<2−0.8
3) Add 4.2 to both sides.
b−4.2+4.2≥−5+4.2
4) inequality cannot be solved
5) Simplify both sides of the inequality.
−r+5.1≥5
Subtract 5.1 from both sides.
−r+5.1−5.1≥5−5.1
−r≥−0.1
Divide both sides by -1.
-r/-1 ≥ -0.1/-1
6) Flip the equation.
−1.8y≥−1.44
Divide both sides by -1.8.
−1.8y/−1.8 ≥ −1.44/−1.8
good luck with your work!!
1. Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
2. A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?
3. For an art project, Corinne and Amelia want to combine their colored pens and distribute them equally among 12 first graders. If Corinne has 84 colored pens and Amelia has 72 colored pens, how many pens does each first grader get?
4. Lynn paid $12.21 for ribbon. The cost per yard was $1.48. How many yards did she get?
5. Find the quotient of 72.86 ÷ 7.1. Round to the nearest hundredth.
6. Kelly has 17.8 oz of dough. How many circles of dough can she cut that are 3.9 oz each? Round to the nearest hundredth.
7.What is 64 ÷ 4.7? Round to the nearest hundredth.
Answer: For number 1 its 125
Number 2 is 4 items , Number 3 is 13 pens
Step-by-step explanation:
Find each function value 1. f(2) if f(x) = x + 4
Answer:
The function value would be 6
Step-by-step explanation:
If f(2) then....
f(x) = x + 4
f(2) = 2 + 4
f(2) = 6
The two triangles shown are congruent by the SAS Theorem Which statements, when combined, describe a sequence
of rigid motions which maps AABC to AEDF?
Answer: It is B, C, E
B- a tra asian between the two figures maps <c to <f
C- Air rotation mapping CB to FD and <B to <D
E- A reflection across CB mapping AC to EF, and <A to <E
Step-by-step explanation:
The rigid motion that verifies the triangles are congruent by SAS is reflection.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
we know that,
The angle of reflection simply means the angle that's formed between the normal ray and the reflected ray. It's the line that's perpendicular to the resulting surface at the point of incidence.
According to the law of reflection, the angle of reflection must be equal to the angle of incidence. Therefore, the rigid motion that verifies the triangles are congruent by SAS is reflection.
Hence, The rigid motion that verifies the triangles are congruent by SAS is reflection.
Read related link on angle:
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If you could help I would really appreciate it, but if not that’s fine. Thank you.
Question is in the Screenshot, Brainliest if answered and correct!! Plz.
Answer:
answer is 64
Step-by-step explanation:
please help mee dont wanna fail
Answer:
I'm not sure what X is but I am pretty sure the PAW angle is the same as -1x+43. Dont count me on it though...
Step-by-step explanation:
PlZZZZZZZZZ HELP URGENTTTTTTTTTt
Plssssss help which statement is the clearest translation of 4+6z=12.
Answer:
FOUR PLUS SIX TIMES A NUMBER IS TWELVE
Which is greater, 0.9 or 95%?
Answer:
depends on context, 95% of what number? But in general it would be 95% because 0.9= 90%
Step-by-step explanation:
please help!!!!
it’s due today and it’s worth 30% of my grade!!!!
Answer:
2nd one because that's the proportion a
Find JK if KF= 1 *No A-D options(write the answer)
Answer:
The length of JF = 3
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔHIJ,
Point K is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median JF is split into two parts such that the longer part JK is 2 times the length of the smaller part KF.
In other words,
JF = KF + JK
Given KF = 1
Also, the longer part JK is 2 times the length of the smaller part KF.
i.e.
JK = 2 KF
JK = 2(1) ∵ KF = 1
JK = 2
Thus, substituting KF = 1 and JK = 2 in JF = KF + JK
JF = KF + JK
JF = 1 + 2
JF = 3
Therefore, the length of JF = 3