Answers
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The graphs cross at this point. Intersection points are solutions to systems of equations.
Put another way, (1,4) is on the blue line and on the red line simultaneously.
A point on the red line is a solution to the red equation. A point on the blue line is a solution to the blue equation.
-----------------
Checking the answer:
y = x+3
4 = 1+3 ... plug in x = 1 and y = 4 into the blue equation
4 = 4 .... solution works for the blue equation
y = 3x+1
4 = 3(1)+1 ... plug in x = 1 and y = 4 into the red equation
4 = 3+1
4 = 4 ... solution also works for the red equation
This fully confirms the solution
Related Questions
Which students plant exactly 6inches tall at week 4
Answers
Answer:
we need options and stuff
Step-by-step explanation:
other wise cant help sorry
Multiple Choice
Evaluate.
1. -59 - 6 for g=-2 (1 point)
A.4
B.16
C.10
D.-13
Answers
Im in high school this is simple math so. Your welcome
please hurry i need this fast
Answers
Answer:
option 4
Step-by-step explanation:
the first movement is a translation and then it is reflected over the y axis
Answer:
A
Step-by-step explanation:
The number of bacteria in a refrigerated food product is given by N(T)
4
29T2 - 115T + 52,
When the food is removed from the refrigerator, the temperature is given by T(t) = 6t + 1.5, where t is
the time in hours.
Find the composite function N(T(t)):
N(Tt))
Find the time when the bacteria count reaches 500.
Time Needed =
hours
Answers
Answer:
Step-by-step explanation:
Given
N(t) = 29t²-115t+52
T(t) = 6t+1.5
To get the composite function N(T(t)), we will follow the steps
N(T(t)) = N(6t+1.5)
To get N(6t+1.5), we will replace t in N(t) with 6t+1.5 as shown:
N(6t+1.5) = 29(6t+1.5)²-115(6t+1.5)+52
N(6t+1.5) = 29(36t²+18t+2.25)-690t-172.5+52
N(6t+1.5) = 1044t²+522t+65.25-690t-172.5+52
N(6t+1.5) = 1044t²+522t-690t+65.25-172.5+52
N(6t+1.5) = 1044t²-168t-55.35
Hence;
N(T(t)) = 1044t²-168t-55.35
To determine the time when the bacteria count reaches 500, we will equate the expression to 500 and find t
500 = 1044t²-168t-55.35
1044t²-168t-55.35-500= 0
1044t²-168t-555.35 = 0
Factorize
t =140±√1630115/1740
t = 0.81
Hence the time reached when the bacteria was 500 hours is 0.81hours
Hal's backpack weighs 3.54 pounds. Sarah's pack weighs 2.129 pounds. Frank's pack weighs 2.8 pounds. Select True or False for each statement. True False False True a. Hal's backpack weighs 1.429 pounds more than Sarah's. b. The combined weight of the backpacks is more than 8.5 pounds. C. Frank's backpack is 0.671 pound heavier than Sarah's. d. Hal's backpack is less than 1 pound heavier than Frank's. True False True False
Answers
Answer:
a. false its 1.411 lbs
b. false its 8.469 lbs
c. true
d. true
Answer:
a. false its 1.411 lbs
b. false its 8.469 lbs
c. true
d. true
Step-by-step explanation:
Are the lines y= -x-2 and 4x-4y =16 perpendicular? Explain
Answers
Answer:
Step-by-step explanation:
Can someone please help. I'm offering a lot of points because this answer needs an explanation. Statement proof style would be helpful, but it's not totally needed
Answers
Answer:
See below
Step-by-step explanation:
Given∠A ≅ ∠B and CD⊥ABTo prove CD bisects ∠ACBSolutionAs CD⊥AB, ∠BDC = ∠ADC = 90°
∠BDC ≅ ∠ADC
∠BCD = 180 - (∠BDC + ∠DBC)and
∠ACD = 180 - (∠ADC + ∠DAC)We can substitute ∠ADC with ∠BDC and ∠DAC with ∠DBC
Then we get same equation for ∠BCD and ∠ACD
Therefore ∠BCD = ∠ACD = 1/2∠ACB
It proves that CD bisects ∠ACB
4. A class read 3,452 pages the first week and 4,090 more pages in the second week than in the first week. How many pages had they read by the end of the second week?
Answers
Answer: 638
Step-by-step explanation:
4090 - 3452 = 638
Hope this helps!
It is well-known that in Hanover in the Spring, it is either sunny or rainy every day, and the probability that the weather one day is the same as the weather the previous day is 2/3. Suppose it was sunny on May 1st and May 10th. What is the probability that it was sunny on May 3rd
Answers
Answer:
0.44
Step-by-step explanation:
May 1st was a sunny day. May 10th was a sunny day. The date closest to May 3rd is May 1st so analysis can start from there.
The probability that the weather one day is same as the weather on the previous day = 2/3
In this light, the probability that May 2nd was a sunny day is 2/3 (since May 1st was sunny).
The probability that it was sunny on May 3rd is 2/3 of 2/3 = 2/3 × 2/3 = 4/9 = 0.44
Are the following lines parallel, Perpendicular OR neither
A. 4x - 2y = -12
B. 3x + 6y = 24
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Answer:
Neither I am sure because if to the equation the answer is same
is 5,690 divisible by 10
Answers
Answer yes 569
............................................
I don’t know how to do this. Can you help please help me ?
Answers
Answer:
sin = -√3/2cos = -1/2tan = √3sec = -2csc = (-2/3)√3cot = (√3)/3Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
Additional comment
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
All side lengths in quadrilateral PQRS measure 6 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit. Is the transformation an isometric transformation? Explain
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Answer:
no. in an isometric transformation, the side lenths all stay the same. in this transformation (which is a dilation), the size lengths decreased, so it is not isometric.
Step-by-step explanation:
Can anybody tell the answer of -12xy+4xy
Step By Step because I am really confused.
Answers
Collect the like terms which means add negative 12 + positive 4 , then you get -8 and just add xy to the end because the like terms were collected. Your best bet is to try to create a number line and go off of that if you are still confused.
By switching service providers , a family's telephone bill decreased from about $ 50 a month to about 44 . What was the percent decrease ?
Answers
Answer:
12% decrease
Step-by-step explanation:
50 - 44 = 6
6/50 = 0.12 or 12% decrease
Solve for x.
4x +15 > 23
Answers
Answer: x > 2
Step-by-step explanation:
First, you need to isolate the variable by subtracting each side by 15.
4x + 15 > 23
-15 -15
= 4x > 8
To get the value for the variable, divide each side by 4.
4x/4 = x 8/2 = 2
x>2
Answer:
Step-by-step explanation:
4x + 15 > 23
4x > 8
x > 2
Which is the standard form equation?
Answers
9514 1404 393
Answer:
d 4x +y = 17
Step-by-step explanation:
The only equation satisfied by the given point is also in standard form:
4x +y = 17
__
Trying the given point in the different equations, we have ...
a) 4x -y = 4(5) -(-3) = 23
b) 4x +y = 4(5) +(-3) = 17
c) -4x +y = -4(5) +(-3) = -23
d) 4x +y = 4(5) +(-3) = 17 . . . . equation D matches the point
Solving for y, we have ...
y = -4x +17 . . . . a slope of -4 . . . . equation D matches the slope
5 (x+2) +2x URGENT ANSWER FAST PLEASE!!
Answers
5x + 10 + 2x
7x + 10
Answer:
7x+10
Step-by-step explanation:
use distributive property on 5(x+2)
your expression is now 5x+10+2x
Combine like terms so now your answer is 7x+10
Hope this helps
Write the slope intercept form equation of the line that passes through the point (4,3) and is parallel to y=5/4x+1
Answers
Help please! urgent!!!!!!!
Answers
Answer:
The mapping represents y as a function of x, because each x value corresponds to exactly 1 y value.
Step-by-step explanation:
Functions are defined to map out to only one value so that rules everything else out and leave us with only one answer.
Hope it helps.
Make a list of professionals who routinely apply geometry in their work. Start by reading about these careers that use geometry
Answers
Answer:
Architect
Surveyor
Mechanical Engineer
Drafter
Step-by-step explanation:
Architects utilize geometric principles while designing layouts for their ongoing projects, which can include buildings, electrical systems, and plumbing architecture.
Surveyors use geometry to take exact measurements of boundaries for different types of property.
Mechanical engineers, some of the most diversified engineers, use a multitude of geometric concepts to design mechanical devices, or update existing structures
Drafters use the same geometric knowledge and applications as architects and engineers, drafters create design plans with the use of computer-aided design (CAD) software.
Answer:
architects
civil engineers
designers who use computer-aided design
astronomers
air traffic controllers
interior designers
jewelry designers
painters
photographers
sculptors
landscape designers
carpenters
plumbers
Step-by-step explanation:
plato/edmentum
Please help :/ math is my worst subject and i cant get it for the life of me lol
Answers
The answer is (-2, -1.5, 0, 2/5, 3/4)
Answer:
the answer is c
Step-by-step explanation:
because -2 is less than -1.5 0 is going to be in the middle because it separates positive from negatives. and 2/5 is smaller then 3/4
What proportion of these motors will last somewhere between 8 and 11 years
Answers
Answer: What Proportion Of These Motors Will Last Somewhere Between 8 And 11 Years? 2. What's The Probability That A Randomly Selected Motor Will Last More
the number of standard deviations a value is from the mean ... Suppose X ~ N(8, 1). ... Find the probability that a CD player will last between 2.8 and six years. a. ... A child who weighs 11 kg is one standard deviation above the mean of 10.2 kg. b. ... There is about a 68% chance that the number of heads will be somewhere.
if 5x-7=13, what is the value of 10x-14
Answers
Answer:
10x-14=26
Step-by-step explanation:
x = 4
10 x 4 = 40
40 - 14 = 26
Answer:
26
Step-by-step explanation:
In order to answer this question, we must first find what x equals, so we need to solve for x in the equation 5x - 7 = 13:
5x - 7 = 13
+7 +7
5x = 20
/5 /5
x = 4
Now, we plug in 4 for 'x' in the equation 10x - 14:
10(4) - 14 =
40 - 14 =
26
So, 10(4) - 14 = 26
Hope this helps :)
Help Me Please. ? And Thank You
Answers
Answer:
20
Step-by-step explanation:
how, because 3 is 12, 4 is 16 because multiply by 4
how to simplify -2n + 11 + 6n
Answers
Answer:
4n+11
Step-by-step explanation:
-2n+6n=4n
Hope this helps! :)
Answer:
4n+11
Step-by-step explanation:
Move the variables together
-2n+6n+11
4n+11
-5+2a=4a-4-3a help plz and thank you
Answers
Answer:
a=1
Step-by-step explanation:
To make this easier, combine like terms first.
-5+2a=4a-4-3a
-5+2a=a-4
Then, add 5 on both sides.
-5+2a=a-4
+5 +5
2a=a+1
Now, subtract a on both sides.
2a=a+1
-a -a
a=1
Hope this helps you out!!!! Have an amazing day :3
m
7=
2+3
Show some work
Answers
Answer:5?
Step-by-step explanation:2+3 is 5 unless your doing some other math?
Which pair of angles shares ray a f as a common side?
Answers
Answer:
it's the last one.
Step-by-step explanation:
both of them have ÀF as part of their angle.
Answer:
Step-by-step explanation:
it would the the second one
The school field trip policy requires 3 adults for every 9 students. If the school orders 360 tickets for a play, how many adults and how many students are there? PLEASE ANSWER QUICK, I WILL GIVE BRAINLIEST!
Answers
Answer:
270 students and 90 adults
Step-by-step explanation:
3a=9s a+s=360
a=3s
(3s)+s=360
4s=360
s=90
3a=9(90)
3a=810
a=270