Answer:
infinitely many solutions
Step-by-step explanation:
we have: x+6y= 3
5x+30y=15
where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)
Thus, the system has infinitely many solutions.
another approach:
convert to slope-intercept form
y= -1/6x + 1/2
y= -1/6x + 1/2
thus, the system has infinitely many solutions.
(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)
The weight, in pounds, of a newborn baby t months after birth can be modeled by the equation W=1.5t+10. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
Step-by-step explanation:
W = 1.5t + 10
slope = 1.5
Every month, the baby gains 1.5 pounds.
The shaded area of the shape below rounded to the nearest whole number is:
8 cm
8 cm
Answer:
64
Step-by-step explanation:
8x8=64
b) Find the value of (2.63 - 0.87) – 2.076
Answer:
-0.316
Step-by-step explanation:
2.63-0.87-2.076
=-0.316
Hope it helped!
4. The length of a rectangle is one more than twice the width. The area is 105 in?.
Find the WIDTH of the rectangle. *
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Answer:
7 in
Step-by-step explanation:
For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...
A = LW
105 = (2w +1)w
2w^2 +w -105 = 0
To factor this, we're looking for factors of -210 that have a difference of 1.
-210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)
So, the factorization is ...
(2w +15)(w -7) = 0
Solutions are values of w that make the factors zero:
w = -15/2, +7 . . . . . negative dimensions are irrelevant
The width of the rectangle is 7 inches.
What is the radical form of the expression
2 3/4
annyone wanna help 9x-14=22
Answer:
4
Step-by-step explanation:
I need help asap pls
What is the decay factor of the exponential function
represented by the table?
O1/3
O2/3
O 2
O 6
Fact: It is not 6!
And I swear I am not lying!
Answer:
A. 1/3
as x increases the values of the function all become one-third of each other !!
6 is 1/3 of 18
2 is 1/3 of 6
2/3 is 1/3 of 2
Find the surface area of the cylinder. (no units-round to nearest tenth)
10 m
5 m
Answer: 471.238898359 Or when rounded, 471.2
Step-by-step explanation:
16 + 13p -- 9p
how do you do this?
HELPPP what is 2x - 5 by the Square root of 9
The number of calories burned y after x minutes of kayaking is represented by the linear function y=4.5x. The graph shows the calories burned by hiking.
Answer:
22.5 more calories are burned
Hiking:
y=255
kayak
y=202.5
Phineas and Ferb are preparing to conduct experiments at Dataknee Incorporated. Phineas bought 4 beakers and 3 goggles for $33. Ferb bought 6 beakers and 2 goggles for $32. How much did each beaker and each goggle cost?
Enter your one-sentence interpretation in the space below.*
Also the problem to geth the sentence
Answer:
Beaker: $3, Goggles: $7
Step-by-step explanation:
need help pls, i will give brainliest
Answer:
It is the y intercept
Step-by-step explanation:
write an equation for the line in slope-intercept form
Answer:
y = -3/1x + 2
Step-by-step explanation:
1. Find the slope
The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.
y2-y1/x2-x1
2-5/0-(-1) = -3/1
2. Find the y-intercepy
y = mx + b
You can use any x or y point. I'll use (-1,5)
m= slope, which is -3/1
5= -3/1(-1) +b
5= 3 + b
Subtract 3 from 5 and 3 to get 2=b.
3. Rewrite in slope-intercept form
y = -3/1x + 2
-3/4 x (-12)= I need help please this is hard
Answer:
9
Step-by-step explanation:
Hope this helps and have a great day : )
Answer:
hiiioiofffffrrrrrtttttttt
the giraffe is the worlds tallest land mammal. if the scale is 1/2 inch represents 5 feet . the giraffe is 20 feet tall . how many inches is the giraffe?
Answer:
The giraffe will be 2 inches
Step-by-step explanation:
If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...
20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches
Linear or nonlinear
Answer:
Linear
Step-by-step explanation:
Linear is a straight graph
Answer:
Linear
Step-by-step explanation:
The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.
Help please! worth a lot of points! Screenshot included
Answer:
x=44444444444444444444444444444444
Step-by-step explanation:
Answer:
.2
Step-by-step explanation:
Which systems of equations intersect at point A in this graph?
Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
Step-by-step explanation:
Given the point
A (-2, 1)Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Arrange equation variable for elimination
[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]
so
[tex]y+3x=-5[/tex]
[tex]-[/tex]
[tex]\underline{y-4x=9}[/tex]
[tex]7x=-14[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]
Solve 7x = -14 for x
[tex]7x=-14[/tex]
Divide both sides by 7
[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]
Simplify
[tex]x = -2[/tex]
For y - 4x = 9 plug in x = 2
[tex]y-4\left(-2\right)=9[/tex]
[tex]y+4\cdot \:2=9[/tex]
[tex]y+8=9[/tex]
Subtract 8 from both sides
[tex]y+8-8=9-8[/tex]
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4
a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2
+ graph
C. x=3/2 y=1/2
Hope this helps!
SOMEONE HELP ME PLSS !
NEED HELP PLZ!!!!!!!!!!!!!
Answer:
1st Option is correct
Step-by-step explanation:
Just keep adding 150 to see the results
can someone help me on this?!
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Answer:
D. 3 to 4
Step-by-step explanation:
The ratio ...
blueberries : strawberries = (1/2) : (2/3)
can be changed to a ratio of integer by multiplying by the least common denominator: 6.
= 6(1/2) : 6(2/3) = 3 : 4
Donna rides her bike at a rate of 19/2 mph how many miles can donna travel in 1/3 of an hour
Answer:
19/2 = 9.5. This is the speed she can ride in a single hour. At that speed, she would travel 9.5/3 miles in 1/3 of an hour. 9.5/3 = 3.1666666666666667
Step-by-step explanation:
Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?
Answer:
72.7 minutes
Step-by-step explanation:
From the above question, we can deduce that we are to find the time(t) of decay.
The formula used for this calculation is given as:
N(t) = No(1/2)^t/t½
N(t) = quantity of the substance remaining = 11 grams
No = initial quantity of the substance = 530 grams
t = time elapsed
t½ = half life of the substance = 13 minutes
Making t , the subject of the formula
t = t½ × In(N(t)/No)/-In2
t = 13 × In(11/530)/-In2
t = 72.675420100572minutes
Approximately 72.7 minutes
REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)
Answer:
no.2 no.5
Step-by-step explanation:
i don't know how to explain
have a good rest of your day
Answer:
question (1) c^2=a^2+b^2
Step-by-step explanation:
pythagoras theorem
Which phrase describes the algebraic expression n + 14?.
WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answer:
B
Step-by-step explanation:
The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept
Answer:
A.
Step-by-step explanation:
It starts from 32 on the y-axis and goes up 4 times on x-axis.
Please help!!!
composition of functions
g(x)=2x-5 h(x)=x^2-2
find g(h(-8))
Answer:
g(h(-8)) = 119
Step-by-step explanation:
Given
g(x)=2x-5h(x)=x²-2To determine
g(h(-8)) = ?In order to determine g(h(-8)), we need to determine h(-8) first
substituting x = -8 in h(x)=x²-2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so
g(h(-8)) = g(62)
now substituting x = 62 in g(x)=2x-5
g(62)=2(62)-5
g(62) = 124 - 5
g(62) = 119
so
g(h(-8)) = g(62) = 119
Therefore,
g(h(-8)) = 119