Answer:
Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)
y = x - 1
Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)
y = 4x + 9
Step-by-step explanation:
Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)
y = mx + b
if slope is 1, m= 1
y = x + b
if passing through (0,-1), then y = -1, x = 0
-1 = (0) + b
b = -1
then
y = x - 1
Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)
y = mx + b
if slope is 4, m= 4
y = 4x + b
if passing through (0,-1), then y = 1, x = -2
1 = 4(-2) + b
b = 9
then
y = 4x + 9
Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 and 4 m 2 2 m.
Answer:
Step-by-step explanation:
The expressions that are equivalent when m = 1 and m = 4 is;
Option B: 3m + 4 and m + 4 + 2m
We are given m = 1 and m =4;
A) 5m - 3 and 2m + 5 + m
B) 3m + 4 and m + 4 + 2m
C) 2m + 7 and 3m - 3 + m
D) 5m + 3 and 4m + 2 + 2m
For option B; 3m + 4 and m + 4 + 2m
Let's put m = 1
3(1) + 4 = 7
Also, 1 + 4 + 2(1) = 7
Similarly, let us put 4 for m to get;
3(4) + 4 = 16
Also, 4 + 4 + 2(4) = 16
In both cases, the expressions are equivalent and as such option B is the right one.
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Walter can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additional cards with each package of cardstock he buys. If Walter buys 6 packages of cardstock, how many cards can he make in all?
Answer:
dsde
Step-by-step explanation:
Gatorade comes in two different sizes A 16 ounce costs $2.10 and a 20nounce bottle costs $3.15 which is a better deal to explain your thinking.
How much do you save per ounce by buying the better one?
Based on the cost of each bottle, the better deal is the 16 ounce size and the amount saved per ounce is $0.03
The first step is to find the cost per ounce of each bottle.
For the 16 ounce bottle:
= 2.10 / 16
= $0.13 per ounce
For the 20 ounce bottle:
= 3.15 / 20
= $0.16
The 16 ounce size is therefore better and the amount saved per ounce is:
= 0.16 - 0.13
= $0.03
In conclusion, the 16 ounce is better as it saves $0.03 per ounce.
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What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2
Answer:
x = 4
Step-by-step explanation:
Use elimination method.
-----------------
3x + 5y = 10
-(1x + 5y) = -1(2)
-1x -5y = -2
------Simiplify------
2x = 8
x = 4
Find the total surface of :
Answer:
=2112cm²
Step-by-step explanation:
radius=14cm
height=10cm,
Curved surface area of cylinder=2πrh
=2×22÷7×14×10
=880cm²
Base area of cylinder=πr²
=22÷7×14×14
=616cm
Whole surface area of cylinder=2πr(r+h)
=2×22÷7×14(14+10)
=2×22÷7×14(24)
From her eye, which stands 1.74 meters above the ground, Sophia measures the angle of elevation to the top of a prominent skyscraper to be 44∘If she is standing at a horizontal distance of 369 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
The height of the skyscraper for the considered case is evaluated being of 358 meters approx.
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.
How to use right triangles to find the height of the specified sky scrapper?Remember that we assume that building is vertical to the ground. This means, there is 90° formation.
For this case, referring to the figure attached below, we get:
The height of the skyscraper = h = length of ED (which is h - 1.74 meters) + 1.74 meters
Using the tangent ratio for triangle CDE, from the perspective of angle of elevation, we get:
[tex]\tan(44^\circ) = \dfrac{|ED|}{|CD|} = \dfrac{h-1.74}{|AB|} \\0.9656 \approx \dfrac{h-1.74}{369}\\\\h \approx 0.9656 \times 369 + 1.74 \approx 358 \: \rm m[/tex]
(from calculator, we obtained [tex]tan(44^\circ) \approx 0.9656[/tex] )
Thus, the height of the skyscraper for the considered case is evaluated being of 358 meters approx.
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Find the perimeter and area of a rectangle with the sides 3 3/10 meters and 6 2/3 meters
QUICKK
pls say area AND perimeter
Don’t answer just for points please !! I really need help~
This is going to take a while: get ready...
I like two-columns, so...
Statements_______________|_____Reasons___
l||m Given
angle 1 congruent angle 7 Given
angle 3 congruent angle 5 corresponding alternate angles
a||b CPCTC
I usually do proofs for triangles, not parallel lines, but I hope this helped!
Find the perimeter of both ( they have the same perimeter)
Answer:
x=2
Step-by-step explanation:
6x+3+2x+1+4x=12x+4
5x+5x+3x+2=13x+2
12x+4=13x+2
4-2=13x-12x
2=x
9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2
Answer:
9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4
3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)
PLease help ................................................................
Answer:
if it is an a or b B is the best answer but if it a true of false. the answer is true
Step-by-step explanation:
last month nick spent $50 this month he spent 60% of last month how much did nick spend
Answer:
Nick spent $30.00.
Step-by-step explanation:
60% of $50.00
60% ÷ 100 = 0.6
0.6 x 50 = 30
Answer:
30$Step-by-step explanation:
last month nick spent $50 this month he spent 60% of last month how much did nick spend?
50 : 100 * 60 =
0.5 * 60 = 30$
can someone help me pls
Answer:
i think you add them not sure...
Step-by-step explanation:
40+44+44+??
ok?
Answer:
x=88°
x-44°=88°-44°=44°
Step-by-step explanation:
angle A+ angle B+angle C=180°
48°+x-44°+x°=180°
=48°-44°+x°+x°=180°
=4°+2x°=180°
=4°-4°+2x°=180°-4°
=2x°=176°
=2x°/2=176°/2
=x°=88°
x°-44°=88°-44°
=x°-44°=44°
a *blank* *blank* trinomial has only one element in the solution set
Answer:
a solution set trinomial has only one element in the solution set
Step-by-step explanation:
ASAP
Please show working out I will give out brainiest :)
If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch?
There are 6.45 or 6.5 square cm in one square in.
If 2 inches are equivalent to 5 centimeters, using unitary method, 6.25 square centimeters are in one square inch.
Unitary method is the method of solving the problem, where you first calculate the value of one item, then to find the value of say, k items, you multiply the value of one item by k.
Here, in this question we have used unitary method to find the relation between square inch and square centimeter given the relation between an inch and a centimeter.
Given in the question,
2 inches = 5 centimeter
By unitary method,
[tex]1 \ inch = \frac{5}{2} \ centimeter = 2.5 \ centimeter[/tex]
Squaring on both sides,
[tex]1 \ inch * 1 \ inch = 2.5 \ cm * 2.5 \ cm \\\\1 \ inch^2 = 6.25 \ cm ^2[/tex]
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During a storm the temperature drops from 90oF to 75oF. How much did the temperature drop in oC? (Round your answer to the nearest whole number. ).
Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?
h(x) = g(f(x))
Take f(x) and plug it into g(x).
g(f(x)) = sqrt{4x}
g(f(x)) = sqrt{4(3x^3 + 8x^2)}
g(f(x)) = sqrt{12x^3 + 32x^2}
We are done.
Answer:
h(x) = sqrt{12x^3 + 32x^2}
The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Composite functions
Given the following fnctions
[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]
The composite function g(f(x)) is expressed as:
[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
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If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?
Answer:
28%
Step-by-step explanation:
(3red+4red)/25candy = 7/25 = 28/100 = 28%
Which relation is a function?
Answer:
only the v-shaped graph is a function
Step-by-step explanation:
the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point
Leticia reads the temperature of a solution in a lab experiment. The temperature of the solution is 6.1ºF. After 6 hours, she reads the temperature of the solution again. The temperature of the solution is now −1.7°F. Leticia plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.
Answer:
1.4F. When you add 3.1 to -1.7 you get 14F
Answer:
1.4 is the answer
Step-by-step explanation: Hey I didn't get an A on my test but i got this one right
what is 21-3+18 divided by 6=6 equal
ehhehehehe u will never find out
Answer:
I really :3? i’m up for a challenge
Step-by-step explanation:
21 - 3 = 18
18 + 18= 36
36/6= 6
hope this helped!
I need help plz asp
9
Step-by-step explanation:
woody is 5
buzz is 3
mr potato head is 3
rex is 7
alien is 1
In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 23 hours. How long would it be, to
the nearest tenth of an hour, until there are 10500 bacteria present?
Answer: x = 22.7
Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500
Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300
Reduce the fraction:2 x/23 = 105/53
Convert exponential to logarithm form: x/23 = long^2 105/53
Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23
Rewrite the expression: x = 23 long^2 105/53
Round the number: x = 22.7
Answer: x = 22.7
Shania bought a $1,455 drum set on an installment plan. The Installment agreement included a 15% down payment and 18 monthly payments of $80.78 each
a. How much is the down payment
b. What is the total amount of the monthly payments?
c. What is the total cost of the plan?
d. What is the finance charge?
The down payment will be $218.25, the total amount of the monthly payments is $1454.04.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Shania bought a $1,455 drum set on an installment plan.
The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each
Down Payment = (15/100)x1444
= $218.25
The total amount of the monthly payment = $80.78x18
= $1454.04
Total cost of the plan = $1454.04 + $218.25
= $1672.29
Finance charge = $1672.29 - $1455
= $217.29
Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.
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I NEED HELP ASAP
Write the equation of the line in fully simplified slope-intercept form.
Answer: [tex]y = \frac{4}{5}x + 4[/tex], if this helped you please give Brainliest
Step-by-step explanation:
WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Y -.-
Answer:
Point Y is the answer to this
what is 5^12 divided by 5^3 simplified
Answer: 1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Identify the horizontal asymptote of f(x) = 4 x over 7. Y = 0 y = 4 over 7 y = 7 over 4 No horizontal asymptote.
The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4
Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.
From the given function, the expression at the numerator is 4x.
h(x) = 4xFor instance, if we have a function y = ax, the variables of the function are x and y and the coefficient is "a"Similarly for the expression h(x) = 4x, the coefficient of the expression is 4
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Answer: C
Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation
solve similar triangles (advanced)
Answer:
Step-by-step explanation:
There are 2 similar triangles.
EDA and CBA
From that we can get the following proportion.
ED / CB = AD / AB
Filling in the letters we get
6/x = (4 + 3)/3 Combine
6/x = 7/3 Cross Multiply
7x =6*3
7x = 18 Divide by 7
x = 2.57