in what value of b makes y= 2x + b the same as y= 2x what does that value mean
Answer:
B = 0
Step-by-step explanation:
If you have y = 2x + b and are trying to get to y = 2x
Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.
Basing ourselves off of the formula "y = mx + b"
B = 0 would mean that the y-intercept of the line is 0
Answer:
0
Step-by-step explanation:
if y=2x and y=2x+b is the same then b must be 0.
Marie uses 2.3 oz of nuts for each bag of trail mix she makes. She uses 27.6 oz of nuts in all.
How many bags of trail mix does Marie make?
Enter your answer in the box.
bags
Answer: 27.6/2.3 = 12 bags of trail mix
Step-by-step explanation: Hope this helps :)
You can run at a speed of 6 mph and swim at a speed of 3 mph and are located on the shore, 4 miles east of an island that is 1 mile north of the shoreline. How far should you run west to minimize the time needed to reach the island?
The distance to run to minimize the time needed to reach the island is
3.4 miles
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let x = distance to run.
Remaining distance to the point that is closest to the island = (4 - x) miles.
The distance d to the point x from the island is
using the Pythagorean theorem:
d² = 1² +(4 - x)²
d² = 1 + 16 -8x + x²
d² = 17 - 8x + x²
d = √(x² - 8x + 17)
Total travel time.
= Times running + Time swimming.
Speed = Distance / Time
Time = Distance/Speed
Total time:
T = x/6 + d/3
T = x/6 +√(x² - 8x + 17)/3
Minimized time is when T' is zero.
T' = 0
1/6 + 1/3 x 1/{2(√(x² - 8x + 17)} x (2x - 8) = 0
1/6 + (2x - 8)/6√(x² - 8x + 17) = 0
Multiply 6 on both sides.
1 + (2x - 8)/√(x² - 8x + 17) = 0
√(x² - 8x + 17) + 2x - 8 = 0
√(x² - 8x + 17) = 8 - 2x
Square both sides.
(x² - 8x + 17) = (-(2x - 8))²
(x² - 8x + 17) = (2x - 8)²
x² - 8x + 17 = 4x² - 32x + 64
4x² - x² - 32x + 8x + 64 - 17 = 0
3x² - 24x + 47 = 0
Finding the roots of the quadratic equation.
We get,
x = 3.4 and 4.6
Thus,
The distance to run to minimize the time needed to reach the island is
3.4 miles
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Who ever solve this first I will give Brainliest to them
Answer:
9
Step-by-step explanation:
In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense
Hello can someone please help me with this
Answer:
C) 1
Step-by-step explanation:
Its the closest to 1.04
what do you call the horizontal number line in the Cartesian plane ?
9514 1404 393
Answer:
x-axis
Step-by-step explanation:
The horizontal and vertical axes of a graph can have any names you like. If the independent variable represents something in particular, the horizontal axis is usually named so as to indicate that. In a graph of distance versus time, for example, the independent variable is likely to be time, and the horizontal axis is likely to be named something that suggests that--"t," for example, or perhaps "days".
It is fairly conventional to use "x" to name a general independent variable. The corresponding dependent variable in a two-variable relation is conventionally called "y". The horizontal axis in x-y graphs is usually labeled "x" and is called the "x-axis."
This convention is sufficiently well-used that we often call the horizontal number line of the graph the "x-axis" even if it is labeled something else.
Fred earns $45 mowing the lawn. He spends $5 on music and puts half of what's left in a savings account. He then gets another $5 for washing his neighbor's car.
First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.
The total amount that Fred keeps (and does not put in his savings account) is $20
Total earnings of Fred = $45
Amount spent on music = $5
Amount remaining after spending on music = $40
Fred puts half of what's left in a savings account.
Total amount put in the savings account = 40/2
Total amount put in the savings account = $20
The total amount that Fred keeps (and does not put in his savings account) is $20
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What is the slope-intercept form of an equation of a line that passes through the point (0,-1) and is perpendicular to 5x-y=3?
Answer:
y = -1/5x - 1
Step-by-step explanation:
Perpendicular lines slopes are negative reciprocals of each other.
Write the given equation in the slope-intercept form: y = mx + b
5x - y = 3
-y = -5x + 3
y = 5x - 3 multiply by -1
The slope of the given line is 5 ( the coefficient of the x-term).
The slope of the new equation will -1/5 (this is the negative reciprocal of 5).
Next find "b" using y = mx + b, the new slope -1/5 and the point (0, -1)
y = mx + b
-1 = -1/5(0) + b
-1 = 0 + b
-1 = b
Now write the equation y = -1/5x - 1
Solve.
−3 2/3x = −2 1/5
Answer:
1 2/3
Step-by-step explanation:
You divide -3 2/3x to -2 1/5 and you will get 1 2/3
(BEST AND FASTEST GETs BRAINLIEST)Michael works at a furniture store. He makes commission for every piece of furtniture he sells. He sold a couch for $1245 he got a check for $62.25. What was the % of commission he made?
Step-by-step explanation:
if 1425 then the answer is 100
if it's 62.25 then 77 percent
tom drives a truck his regular trip is a distance of 280km.he drives at an average speed of 80km/h.for saftey reason his boss puts a speed limit on his trucktoms average speed by 10km/h
how much longer will it takes tom to drive this regular trip
Answer:
Step-by-step explanation:
280 / (80 - 10) - 280 / 80 = 0.5 hr longer
Help me please ASAP
!!!!!
Answer:pretty sure the -4 would be on the right of the seven. And to the left of -1.
Step-by-step explanation:
what is the volume of the cone if the volume of the cylinder is 51L.
Answer:
17L
Step-by-step explanation:
Volume of cone = 1/3(Volume of cylinder )
= 1/3 * 51L
= 17L
Where do I put the parenthesis to make it true?
5 – 6w – 5 – 95 + 2w = –48w – 70
Answer:
i just stole your points thank you
Step-by-step explanation:
5 – 6w – 5 – 95 + 2w = –48w – 70
-6w + 2w + 48w = -70 -5 + 5 +95
44w = 25
w=25/44
7,433,654 rounded to the nearest 100
Given the inequality y<=12x+4, which of the following statements are
correct? Check all that apply.
A. The line should be dashed.
B. Shading should go above the line.
C. The line should be solid.
D. Shading should go below the line.
Answer:
c)the line should be solid
As per <= sign the line should be solid
Next
Let's isolate x and y
[tex]\\ \sf\longmapsto y\leqslant 12x+4[/tex]
[tex]\\ \sf\longmapsto 12x-y\geqslant 4[/tex]
Put (0,0)[tex]\\ \sf\longmapsto 0-0\geqslant 4[/tex]
Yes it's trueShading should go below the line towards origin
Help please use picture
Answer:
c. the relationship is proportional because the graph passes through the origin
Part of a city map is shown. If m 5 = x, which angles also have a measure of x? Select all that apply.
A 1
B 4
C 9
D 12
Thanks!!!
Answer:
C 9
D 12
Step-by-step explanation:
9 is a corresponding angle to 5 and 12 is an opposite angle to 9
Also by convention, grid lines are at right angles to each other so 5, 6, 7, 8, 9, 10, 11, and 12 are all equal at x = 90°
Greg received 3/8 of the votes cast for class secrectary. How many votes did he receive
Write your answer in simplest form
( show me how you got your answer like an explanation please Thanks! :)
Answer: 3/8
Step-by-step explanation: We don't know how many votes are there for the class secretary.
4х = 32
А. x= 9
В. x= 8
с. x= 28
D. х = 128
Answer:
B
Step-by-step explanation:
Step 1: Divide both sides by 4.
4x/4 = 32/4
4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8
Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture
Answer:
The correct option is;
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).
Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give
Step-by-step explanation:
We have that for reflection across the x-axis, (x, y) → (x, -y)
For reflection across the y-axis, (x, y) → (-x, y)
Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;
For reflection across the y-axis, (x, -y) → (-x, -y)
For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)
If AZ = 85 ZE=51 find Bc
21.2x+c is equivalent to 5.3(4x-2.6)
Yooooo what up how u doin ?
[tex]21.2x + c = 5.3(4x - 2.6)[/tex]
[tex]21.2x + c = 21.2 x - 13.78[/tex]
Subtract both sides 21.2x
[tex]21.2x - 21.2x + c = 21.2x - 21.2x - 13.78 \\ [/tex]
[tex]c = - 13.78[/tex]
There u go.... Don't have a good day , Have a great day ❤
A car travels at an average speed of 56 miles per hour how many miles does it travel in 5hrs and 30min
Answer:
308 miles
Step-by-step explanation:
speed * time = distance
56 * 5.5 = 308
308 miles
Mrs. King's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
A sample in which each element in a population has a equal chance of being selected
Answer:
simple random sample
Step-by-step explanation:
I hope that's it
Cariyah placed $2000 into a savings account with 3.5% interest, compounded annually. Write Cariyah's total savings S(t) as a function of time in years, t.
S(t) =
Answer:
450
Step-by-step explanation:
If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is not a spade.
A. Write your answer as a simplified fraction.
B. Write your answer as a decimal, rounded to the nearest thousandth.
C. Write your answer as a percent. Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.
Answer:
a. 1/13
b. 0.077
c. 7.7
Step-by-step explanation:
a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.
Please help me out with this question and please explain with steps
Answer:
6m²-m²+5m-1
Step-by-step explanation:
Polynomial 1 = m³ + 3m² - 18m
Polynomial 2 = 23m - 4m²
Polynomial 3 = 5m³ - 1
(m³+3m²-18m)+(23m-4m²)+(5m³-1)
When adding polynomials, you'll add like terms.
(m³+5m³)+(3m²-4m²)+(-18m+23m)+(-1)
(6m³)+(-m²)+(5m)+(-1)
6m³-m²+5m-1
Given: D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
Prove that: Triangle AED = Triangle CFD
Answer:
Step-by-step explanation:
Side-Angle-Side postulate (SAS)
There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given question,
D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
In ΔAED and ΔCFD,
Side DE = Side DF
m∠EDA = m∠FDC
Side AE= Side FC
According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Thus, both triangles are congruent.
Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
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