Answer:
The equation of the line in slope-intercept form is:
[tex]y=-\frac{3}{7} x+3\\[/tex]
In one of the many possible standard forms:
[tex]3\,x+7\,y=21[/tex]
Step-by-step explanation:
First calculate the slope of the segment that joins these two points: (0, 3) and (7,0):
[tex]slope=\frac{y_2-y_1}{x_2-x_1}= \frac{0-3}{7-0}=-\frac{3}{7}[/tex]
Now, knowing that the y-intercept is (0, 3) [point on the y-axis (for x=0) where the line crosses], Then the equation of the line in slope-intercept form is:
[tex]y=m\,x+b\\y=-\frac{3}{7} x+3[/tex]
And now, if you want to write the equation eliminating fractions, we can multiply both sides by "7":
[tex]y=-\frac{3}{7} x+3\\7\,y=-3\,x+21\\3\,x+7\,y=21[/tex]
For f(x)-3x+1 and g (x)-x^2-6 find (f•g)(x)
Answer & Step-by-step explanation:
For this problem, all we have to do is multiply the two expressions.
f(x) = 3x + 1
g(x) = x² - 6
Now, let's set up our equation for multiplication.
(f * g)(x) = (3x + 1)(x² - 6)
(f * g)(x) = 3x³ - 18x + x² - 6
(f * g)(x) = 3x³ + x² - 18x - 6
So, (f * g)(x) is 3x^3 + x^2 - 18x - 6
the correct Answer is
3x^3+x^2-18x-6
what is the inverse of the function f(x) equals 1/9 X +2
Answer:
1/9x-2
Step-by-step explanation:
five consecutive multiples of 3 add up to 105. What is the second smallest number
89 points!
Answer:
18
Step-by-step explanation:
Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have
n + n + 3 + n + 6 + n + 9 + n + 12 = 105
5n + 30 = 105
5n = 75
n = 15
The second smallest number is n + 3 which is 15 + 3 = 18.
Answer:
18
Step-by-step explanation:
Which ordered pair is a solution of the equation?
y= 7x - 3
Choose 1 answer:
Answer:
[tex]\frac{3}{7}, -3[/tex]
Step-by-step explanation:
[tex]7x-3=0[/tex]
[tex]7x-3+3=0+3[/tex]
[tex]7x=3[/tex]
[tex]\frac{7x}{7}=\frac{3}{7}[/tex]
[tex]x=\frac{3}{7}[/tex]
[tex]\left(\frac{3}{7},\:0\right)[/tex]
[tex]y=7\cdot \:0-3[/tex]
[tex]y=0-3[/tex]
[tex]y=-3[/tex]
[tex]\left(0,\:-3\right)[/tex]
Answer:
3/7, 0
Step-by-step explanation:
7x-3=0
7x = 3
x = 3/7
substitute
y = 7(3/7) - 3
7s cancel out
y = 3 - 3
y= 0
write this trinomial in factored form 4b^2 + 17b + 15
Answer:
(b + 3)(4b + 5)
Step-by-step explanation:
Given
4b² + 17b + 15
Consider the factors of the product of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 15 = 60 and sum = 17
The factors are 12 and 5
Use these factors to split the b- term
4b² + 12b + 5b + 15 ( factor the first/second and third/fourth terms )
= 4b(b + 3) + 5(b + 3) ← factor out (b + 3) from each term
= (b + 3)(4b + 5) ← in factored form
Question 7 Multiple Choice Worth 1 points)
(03.03 LC)
Triangle MNO is dilated to form new triangle PQR. If angle
is congruent to angle R. what other information will prove that the two triangles are similar by the AA similarity postulate?
Side ON is congruent to side RQ.
Angle Nis congruent to angle
Side MN is congruent to side PQ.
Angle M is congruent to angle Q.
Please help
Answer:
Angle N is congruent to Angle Q.Step-by-step explanation:
If triangles MNO and PQR are similar, then the corresponding sides are propotional and the corresponding angles are congruent.
Angle M corresponds to Angle P.Angle N corresponds to Angle Q.Angle O corresponds to Angle R.So, we know by gvein that angles O and R are congruent. We only need another angle congruence to use the AA postulate of similarity.
Therefore, the right answer is the second choices, because Angle N must be congruent to Angle Q.
Answer: B: Angle N isn’t congruent to angle Q
Step-by-step explanation: You have to follow the letters MNO and PQR. We know O is congruent to R to get another angle we would use Angle N and Q because of the order since Angle M and angle Q aren’t in the same order and we’re not dealing with sides only Angles.
This two-way frequency table gives the results of a screening test for heart disease conducted by determining the cholesterol level in the blood
samples of 750 patients.
Question 1
Using the two-frequency table, compute the probability of having high cholesterol. Or Phigh cholesterol)
Answer:
The probability of having high cholesterol = 0.496
Step-by-step explanation:
Given frequency data table
cholesterol level
Normal High Total
Heart diseases Yes 11 223 234
No 367 149 516
Total 378 372 750
Given data
The Cholesterol level is high n ( High cholesterol) = 372
Total n( S) = 750
The probability of having high cholesterol level
P( E) = [tex]\frac{n(E)}{n(S)} = \frac{372}{750} = 0.496[/tex]
Find the value of "k", given that one solution of the equation 2x² kx + 12 = 0 is
is -3/2
Answer:
Is there a picture to it.
that will me helpful for me
Step-by-step explanation:
Willing to help
A population proportion is . A sample of size will be taken and the sample proportion will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within of the population proportion? b. What is the probability that the sample proportion will be within of the population proportion?
Complete Question:
A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
Answer:
A) 0.61351
Step-by-step explanation:
Sample proportion = 0.4
Sample population = 200
A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion
Statistically:
P(0.4-0.03<p<0.4+0.03)
P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200
P[-0.03/0.0346410 < z < 0.03/0.0346410
P(−0.866025 < z < 0.866025)
P(z < - 0.8660) - P(z < 0.8660)
0.80675 - 0.19325
= 0.61351
B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion
Statistically:
P(0.4-0.08<p<0.4+0.08)
P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200
P[-0.08/0.0346410 < z < 0.08/0.0346410
P(−2.3094 < z < 2.3094)
P(z < -2.3094 ) - P(z < 2.3094)
0.98954 - 0.010461
= 0.97908
What is the slope-intercept equation of the line below?
O A. y = -2x-1
B. y=-2x+1
O C. y = 2x + 1
D. y = 2x - 1
Answer:
B. y=-2×+1
Step-by-step explanation:
2×+y-1=0
so,y=-2×+1 is the slope intercept
Here is a pattern made up of tiles.
How many tiles will be in the 5th Pattern?
Answer:
26 tiles
Step-by-step explanation:
In the picture attached, the pattern is shown.
From the picture, we can see that:
the 1st pattern has 6 tilesthe 2nd pattern has 6 + 5 = 11 tiles the 3rd pattern has 11 + 5 = 16 tilesTherefore, the next patterns will have:
4th pattern, 16 + 5 = 21 tiles5th pattern, 21 + 5 = 26 tilesMike’s house has three bedrooms. Each bedroom has a closet. The closet in the first bedroom measures 5 ft in length. 3 ft in width, and 7 ft in height. The closet in the second bedroom measures 5 ft in length, 4 ft in width, and 7 ft in height. The closet in the third bedroom measures 5 ft in length, 8 ft in width, and 7 ft in height. How much space is in all three closets combined? 3 ft in width, and 7 ft in height. The closet in the second bedroom measures 5 ft in length, 4 ft in width, and 7 ft in height. The closet in the third bedroom measures 5 ft in length, 8 ft in width, and 7 ft in height. How much space is in all three closets combined?
Answer:
7 ft
Step-by-step explanation:
While bowling with friends, Brandy rolls a strike in 8 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.
He rolled 8 strikes out of 10 tries.
This make the probability of rolling a strike 8/10 which reduces to 4/5
The answer is 4/5
Plz need help with this question asap!!!
Answer:
A.
Step-by-step explanation:
The expression (1/4) * d + 7 really just means "one-fourth times d, plus 7"
Option A says the same expression, as we know that the product means multiplication, and that we add 7 at the end. For this reason, it is the correct response.
I hope this helps!
hello,
here is your answer:
**********
The product of one-fourth and a number, plus seven.
**********
hope this helped,
:)
Chen writes down a two digit number. He finds that if he swaps the digits of the number round, the new number he creates is three more than one third of the original number. What was the original number?
Answer: 27
Step-by-step explanation:
Let original number be 27,
swapping round we get 72
1/3 rd of 72 = 24
24 + 3 = 27
Answer:
Your answer is 27.
Step-by-step explanation:
I hope this helps!
is it possible to construct a triangle with the given side lengths 6,7 and 11 units ,if not explain
Answer:
Yes!
Step-by-step explanation:
The smaller sides sum should be greater (NOT EQUAL) than the longest side's sum.
A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?
Answer:
The graph of the function is positive on (-∞ –7).
Step-by-step explanation:
Please help!!! The answer is written by listing the letter corresponding to each proportion.
Answer:
A.
B.
D.
E.
H.
Step-by-step explanation:
So if it's cross multiplication, the original has 5 possibilities.
There is:
x : u = y : t,
x : y = u : t,
t : y = u : x,
u : x = t : y
y : x = t : u
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ? Individual Question 158 132 120 110 70
Answer:
[tex]x=112[/tex]
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
An airplane is flying at 350 km/h in a direction of 349 degrees. Find the westerly and northerly components of its velocity.
The westerly and northerly components of the velocity of a flying airplane are 343.5 km/h and 66.7 km/h respectively.
Given in the question,
The airplane is flying at 350km/h in a direction of 349 degrees.
so, the airplane is flying 360-349=11degrees from the east as shown in the image.
The northerly component is 350*sin11degrees and the westerly component is 350*cos11degrees.
To know more about Velocity component problems,
https://brainly.com/question/25253085
megan is performing a science experiment on a particular type of bacteria.she starts with 10 cells and she finds that the number of bacteria can be modeled by the following equation where y is the number of bacteria and t is the number of hours since the experiment started
Answer:
You can change the number of bacteria which is y, by the number of hours. So the equation would be like = t is 10y. ( In this case, y is 1 cell )
Step-by-step explanation:
I hoped this helped!
Which of the following has a denominator of 6?
a. 6 2/3
b. 16/18
c. 6/7
d. 1/6
Answer:
D
Step-by-step explanation:
The denominator is the bottom number in a fraction, while the numerator is the top number.
numerator/denominator
Let's analyze the answer choices.
A. 6 2/3
The bottom number of the fraction is a 3, so this cannot be correct.
B. 16/18
The denominator here is 18, so this choice is also incorrect.
C. 6/7
In this fraction the numerator is a 6, but the denominator is a 7, so this choice is also wrong.
D. 1/6
This choice is the correct answer. The denominator, or bottom number is a 6.
The answer is D. 1/6.
Answer:
D
Step-by-step explanation:
Numerator/ denominator
Upper part of a fraction is numerator & down part of the fraction is denominator
Find the measure of an exterior angle of a regular polygon with 36 sides
Answer: The sum of the measures of the exterior angles in a convex polygon is 360 degrees (this can be proven using the sum of the interior angles). Since each exterior angle measures 36 degrees, there are 10 sides to the polygon.
Step-by-step explanation:
Question #2 [tex]5x+9\leq 4[/tex]
Help me factorise these please :)
Answer:
Tell me if i'm wrong and stuff
Answer:
A:x ( x + 3 )
B:2 x ( x − 4 )
C:3 x ( 2 + 3 x 2 )
D:4 x 2 ( 3 x − 1 )
Step-by-step explanation:
hope this helps
mark me brainly
Find a positive angle less than 360° that is coterminal with the given angle.
620°
A positive angle less than 360° that is coterminal with 620° is...
Answer:
260
Step-by-step explanation:
31/x=248/320
Solve for x
Answer:
X =(31×320)÷248
=9920÷248
X =40
Yesterday, Bridget's Snack Shack went through 2 bottles of ketchup. If they used 2 3/5 times
as much mustard as ketchup, how many bottles of mustard did they go through?
Write your answer as a fraction or as a whole or mixed number.
bottles
Submit
I don't know this yet >
Answer: 26/5
Step-by-step explanation:
Mustard used was 2 3/5 as much as ketchup =
2 x 2 3/5
= 2 x 13/5
= 26/5
The number of girls in a classroom is greater than the number of boys. There are more than girls. Write system of inequalities to model this situation. Use x to represent the number of boys and y to represent the number of girls
Answer:
Step-by-step explanation:
Required
Represent the relationship between population of girls and boys
From the question, we have that
[tex]Boys = x\\Girls = y[/tex]
Given that y is greater than x in the classroom;
One of the keywords in the given data is "Greater than"
The inequality to represent the system is the greater than sign;
In other words, >
Bringing x, y and > together to form a complete inequality; we have
[tex]Girls > Boys[/tex]
Replace Girls with y and Boys with x
[tex]y > x[/tex]
Tell whether each statement is a proportion:
3:9 = 6:18
28:7 = 64:16
95:100 = 17:20
60:80 = 14:16
200:300=24:36
Answer:
1. Yes
2. No
3. No
4. No
5. Yes
Step-by-step explanation:
Do you mean equal proportion?
1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3
2. 28 : 7 = 64 : 16 FALSE because they are just not related.
3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20
4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8
5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3