The equation of the straight line that has x-intercept 1 and y-intercept 4 is:
4x - y = 4
What is a straight line?"A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point."
Given, the line has a x-intercept of 1 and y-intercept of 4. T
Therefore, the line passes through the points (1, 0) and (0, 4).
Now, we can find the slope of the line 'm' that passes through those either points.
Therefore, (x₁ - x₂) = m(y₁ - y₂)
⇒ (1 - 0) = m(0 - 4)
⇒ m = [tex]\frac{1}{4}[/tex]
Now, the equation of the line that has x-intercept 1 and y-intercept 4 is:
(x - x₁) = m(y - y₁)
⇒ (x - 1) = [tex]\frac{1}{4}[/tex](y - 0)
⇒ 4(x - 1) = y
⇒ 4x - y = 4
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the ratio of the number of knives to the number of forks on a table
Answer:
is this including an appatizer fork? if not, then it's 1/1 if it is then it's 1/2
Step-by-step explanation:
a grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16 which number could be the number of packages of flour tortillas the clerk put on the shelf?
Answer:
1222222222
Step-by-step explanation:
PLEASE HELP ME THIS IS DUE SOON RJFVRPIVNOIEL
Answer:
you can calculate it like two rectangle volume
Adalyn has nine more than twice the number of skittles than Morgan has. If twice the number of skittles that Adalyn has is two more than five times the number of skittles that Morgan has, how many does each girl have?
Which equation can be used to solve for x in the following diagram?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
10x + 10 and 110 are vertical angles and are congruent, thus
10x + 10 = 110 → D
Subtract 10 from both sides
10x = 100 ( divide both sides by 10 )
x = 10
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 97.9% of the tests were (correctly) negative. If 32% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
Answer:
Following are the solution to the question:
Step-by-step explanation:
The probability of virus P(V) =0.32
No virus P(NV) =0.66
Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing
[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]
This is why the likelihood of a patient being free of the virus is negative.
[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]
[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]
The 4 members of a robotics team held a car wash to raise money. To attract customers, each person held a sign by the road for an equal portion of the car wash, which lasted 3 hours in all.
Answer:
3/4 or 45 minutes each
Step-by-step explanation:
3 hours are equivalent to 180 minutes which you can then divide by 4. 180/4=45. 45/60 when simplified completely equals 3/4 of an hour
Emma can run 2 3/4 miles in 3/4 hour what is her average speed in miles per hour
Answer:The answer is 1/6
Step-by-step explanation:1/8 miles in 3/4 minutes
then, that means in 1 minute ( 1 min = 3/4 * 4/3) Emma will ride a distance of (1/8)*(4/3)= (1*4)/(8*3)= 1/6.
The answer is 1/6 (in 1 min she will ride 1/6 miles).
Ifangle1∠ 1 and angle2∠ 2 are complementary, find the measure of x and the measures of the angles when LaTeX: m\angle1=\left(6x+5\right)^\circm ∠ 1 = ( 6 x + 5 ) ∘ and LaTeX: m\angle2=\left(8x+15\right)^\circm ∠ 2 = ( 8 x + 15 ) ∘ ?
Answer:
x = 5Step-by-step explanation:
The sum of two complementary angle is 90 degrees. Given the following complementary angles;
<1 = 6x + 5
<2 = 8x + 15
<1 + <2 = 90 (complementary angles)
6x + 5 + 8x + 15 = 90
14x + 20 = 90
14x = 90-20
14x = 70
x = 70/14
x = 5
Hence the measure of x is 5
Please help! I will mark brainliest!
Answer:
C. 9.6ft
D. Angle M
Step-by-step explanation:
Height of smaller surfboard = [tex]\frac{12}{4}[/tex] × 3.2ft
= 9.6ft
If you flip ABCD over, the positions of the angles that are corresponding to each other would be the same, so the angle that would correspond with Angle D would be Angle M since both would be at the top right.
Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?
Step-by-step explanation:
Lets find out,shall we?
Simple interest=(PRT)/100
=$1000×12×3)/100
=$360
Now for compound interest
A=P(1+R/100)^t
A=$1000(1+12/100)^3
A=$1404.928
so interest for compound interest=$(1404.928-1000)=$404.928
Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.
Difference in interest=$404.928-360=$44.928
could someone explain? i will give brainliest thank you
Answer:
A
Step-by-step explanation:
Using the sine ratio on the right triangle on the right to find x
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{70}[/tex] ( multiply both sides by 70 )
70 × sin30° = x , thus
x = 35
-----------------------------------------------
Using the sine ratio on the right triangle on the left to find y
sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{35}{y}[/tex] ( multiply both sides by y )
y × sin42° = 35 ( divide both sides by sin42° )
y = [tex]\frac{35}{sin42}[/tex] ≈ 52.3 ( to the nearest tenth ) → A
Answer:
y = 52.3.
Step-by-step explanation:
Consider the larger triangle on the right:
sin 30 = x / 70
x = 70 sin 30 = 70 * 0.5
= 35.
So, considering the small triangle:
Sin 42 = 35/y
y * sin 42 = 35
y = 35 / sin 42
y = 52.3.
Example 3: The following data was collected by a taxi driver who was interested in how much fuel he used on different journeys. Length of journey 100 250 150 180 220 (miles) 300 Fuel Used (liters) 24 59 44 50 59 97 Estimate how much fuel would be needed for a 200-mile journey.
Answer:
For a 200 mile journey, 55.5 liters of fuel
is needed
Step-by-step explanation:
Here, we want to estimate the fuel needed for a 200 mile journey
we can use this by having an average
By adding all and dividing by 6
Mathematically, that will be;
(24 + 59 + 44 + 50 + 59 + 97)/6
= 55.5
The reason for this is because if we added all the lengths and divide by 6, what we get is 200
Thus, if we added the liters of fuel used per each and divide by 6, we can have an estimate for a 200-mile journey
Line segment AC is given by A (-3,6) and B (6,9). Find the coordinates of point B such that AB:BC is 2:1 Please help now
Answer:
(0, 7)
Step-by-step explanation:
Using the midpoint formula expressed as;
M (X, Y )= [(ax1+bx2/a+b), (ay1+by2/a+b)]
where a and b are the ratios
Given
a = 2
b = 1
x1 = -3
y1 = 6
x2 = 6
y2 = 9
Get the coordinate of B
Get X;
X = ax1+bx2/a+b
X = 2(-3)+1(6)/2+1
X = -6+6/3
X = 0/3
X = 0
Get Y;
Y = ay1+by2/a+b
Y = 2(6)+1(9)/2+1
Y = 12+9/3
Y = 21/3
Y = 7
Hence the coordinate of B is (0, 7)
Please help me please
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
y=3x+2
Step-by-step explanation:
Answer:
y=3x+2
Step-by-step explanation:
facts: slope is m, and b is y-intercept
y=3x+2
hope this helps!
if a bag has 22 orange 18 red and 8 blue marbles what is the probability that in one draw you will select a red marble?
Step-by-step explanation:
p(R)=18/48 is the probability of the question
Find the Slope m of the line that passes through the pair of points ( -4 , 4 ) and ( -4 , 0 ).
What is the equation of a line that has a slope of 2 and passes through point (-1, 7)?
Answer:
2x+9
Step-by-step explanation:
On a computer screen, Jennifer just created a triangular design of banner with vertices at A (-4,3) B(-1,5) and C (-1,2) she can use the computer software to perform transformations on this design. Which sequence of two transformations could she perform so that the transformed vertices become A (4,-5) , B (7,-7) and c (7,-4)
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are dilation, reflection, translation and rotation.
Given the vertices A (-4,3) B(-1,5) and C (-1,2).
If the vertices is reflected across the y = -1 line, the new location would be at:
A' (-4, -5). B'(-1, -7) and C'(-1, -4)
If it is then translated 8 units to the right i.e. (x, y) ⇒ (x + 8, y), the new location would be at:
A"(4, 5), B"(7, -7) and C"(7, -4)
An economist modeled the demand Q for a certain product as a linear function of the selling price p the demand was 20000 units when the selling price was $40 per unit and the demand was 15,000 units when the selling price was $60 per unit based on the model what is the time and in units when the selling price is $55 per unit
Answer: 16,250 units.
Step-by-step explanation:
This is a linear function which means that it takes the form of y = mx + c.
Y is the demand
X is the price
Find m.
= (Y₂ - Y₁) / (X₂ - X₁)
= (15,000 - 20,000) / (60 - 40)
= -250
Find c using substitution;
20,000 = -250 * 40 + c
20,000 = -10,000 + c
c = 20,000 + 10,000
c = 30,000
Linear function is;
y = -250x + 30,000
If selling price is $55;
y = -250 * 55 + 30,000
y = 16,250 units.
The demand is 17000 units when the selling price is $55 per unit
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let Q represent the demand and P represent the selling price.
20000 units for selling price of $40, hence (40, 20000). 16000 units for selling price of $60, hence (60, 16000).
Hence:
[tex]Q-Q_1=\frac{Q_2-Q_1}{P_2-P_1}(P-P_1)\\\\Q-20000=\frac{16000-20000}{60-40}(P-40)\\\\Q=-200P+28000[/tex]
For P = 55 unit:
W
Q = -200(55) + 28000 = 17000
The demand is 17000 units when the selling price is $55 per unit
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There are 3 red marbles, 2 blue marbles, and 7 black marbles if you choose one marble, what is the probability that it will be a red marble?
Answer:
3:12
Step-by-step explanation:
3 + 2 + 7 = 12
3 = red marbles
12 = total marbles
Answer:
Probability of both red =3(182)=3(18!2!16!)=3153
Step-by-step explanation:
Let Ai be the event in which the i-th ball you grab is red. For the first ball you choose, you have 3 red marbles out of a total of 18. Therefore,
P(A1)=318.
For the second marble you grab, given that you already took a red one, that is, given A1, you have 2 red balls out of a total of 17, then
P(A2∣A1)=217.
Finally,
P(A1∩A2)=P(A1)P(A2∣A1)=318217=151.
6,12,11,8,4,1,11,4 median
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Write in standard form.
4.57 x 106
Answer:
485.42
Step-by-step explanation:
multiply by using` long multiplication
HELP DUE IN 20 MINS!!!!!!
Answer:
10 miles
Step-by-step explanation:
Set up a proportion: [tex]\frac{15}{1.5} = \frac{x}{1}[/tex] Cross multiply, then divide: 15 × 1 = 15, 15 ÷ 1.5 = 10So, Jessica can run 10 miles in 1 hourI hope this helps!
A function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4. what is the output for this rule when the input is 5?
Answer:
when the input = 4Then the output = 6Step-by-step explanation:
It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.
Let 'x' be the number
Decreasing twice the number 'x' by 4 = 2x-4
Now,
Given the input x = 5
As the output will decrease twice the input (x=5) by 4
Thus, the output = 2(5)-4 = 10-4 = 6
Therefore,
when the input = 4Then the output = 6Three students failed their last test. If 12% of the class failed, how many students are in the class?
Answer:
There are 25 students in the class.
Step-by-step explanation:
Let x be the number of students in the class
12% failed and the number of students is 3
x*12% = 3
x*.12 = 3
Divide each side by .12
x * .12 /.12 = 3/.12
x =25
There are 25 students in the class
Answer:
25 students.
Step-by-step explanation:
12% is 3 students.
100% is the number of students in the class.
3 times 100 divided by 12 is 25.
So there are 25 students in the class.
Name the shapes that are being described.
a.) ‘I have three sides that are all the same length.
I have three equal angles.
I have three lines of symmetry and rotational symmetry of order 3.
b.) ‘I have four sides.
I have one line of symmetry and rotational symmetry of order 1.
Two of my angles are equal.I have two pairs of equal length sides.
C.) ‘I have six sides.
All my sides are the same length.
I have six lines of symmetry and rotational symmetry of order 6
Which of the following statements is true?
a.
b.
c.
d.
Answer:
confused on what you are asking
Step-by-step explanation:
8 + x/2 = -12 (8 + x divided by 2 = -12) *
Answer:
[tex]8 + \frac{1}{2} x = - 12 \\ 16 + x = - 24 \\ x = - 24 - 16 \\ x - 40[/tex]
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