Write the slope-intercept form of the equation of the line described by (−4, −5), parallel to y = −2x − 5.
Answer:
[tex]y = -2x - 13[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
Parallel lines:
If two lines are parallel, they have the same slope.
y = −2x − 5.
This line has slope [tex]m = -2[/tex], which is the same as the line we want to find, as they are parallel. So
[tex]y = -2x + b[/tex]
(−4, −5)
This means that when [tex]x = -4, y = -5[/tex]. We use this to find b. So
[tex]y = -2x + b[/tex]
[tex]-5 = -2(-4) + b[/tex]
[tex]b = -5 - 8 = -13[/tex]
So
[tex]y = -2x - 13[/tex]
Grace swam 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. How many kilometers did she swim in all? Use paper to show your work. Select the correct answer.
Answer: 0.85 km
Step-by-step explanation:
Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.
Add.
0.6+0.25= 0.85 km
The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are three appetizers, five soups, three main courses, and three desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible
Answer:
number of ways to chose a three course meal is 90
Step-by-step explanation:
Given the data in the question;
Number of appetizer = 3
Number of soups = 5
Number of main courses = 3
Number of desserts = 3
Now,
Number of ways that appetizer can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
Number of ways that soups can be chosen = ⁵C₁ = 5!/(1!(5-1)!) = 5
Number of ways that main courses can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
Number of ways that desserts can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3
So,
First we chose an appetizer, soup and main course.
Number of ways will be;
⇒ 3 × 5 × 3 = 45
Next, we chose a dessert, a soup & a main course.
Number of ways will be;
⇒ 3 × 5 × 3 = 45
Total number of ways to chose a three course meal
⇒ 45 + 45 = 90 ways
Therefore, number of ways to chose a three course meal is 90
Answer:
90?
Step-by-step explanation:
What is the unequal represented by the graph
Help please! No rush, I'll give brainliest for best answer
9514 1404 393
Answer:
A
Step-by-step explanation:
Your friendly local graphing calculator or spreadsheet can tell you the quadratic regression equation. It best matches choice A.
which expression is equvialent to (2x^2+4x-7)(x-3)
What is the value of x if x/4+2=15
Help!
Answer:
Step-by-step explanation:
because i don't know if the 2 is with the 4 or not I have calculated both.
x/4 + 2 = 15
<=> x/4 = 13
<=> x = 13.4 = 52
x/(4+2) = 15
<=> x/6 = 15
<=> x = 6.15 = 90
Answer:
52
Step-by-step explanation:
[tex]\frac{x}{4} + 2 = 15[/tex]
The first step is to shift all number values to the right. To do this, subtract 2 from the equation.
This will give
[tex] \frac{x}{4} = 13[/tex]
Now, multiply the equation by 4.
Hence,
[tex]x = 13 \times 4 = 52[/tex]
Samuel has 25 coins in his collection which is 4 more
than three times the amount that Elizabeth has. How
many coins does Elizabeth have?
Answer:
7
Step-by-step explanation:
7×3=21 (three times the amount)
21+4= 25 (4 more)
25 is the amount of coins that Samuel has. This means that Elizabeth must have 7 coins. This fits the information given.
Answer:
7 coins
Step-by-step explanation:
samuel has 25 , if you multiply the amount elizabeth has by three and add 4 you will get samuels amount so you minus 4 from 25 which is 21 then you divide 21 by 3 which is 7
please help me asap! please
Answer:
65 degree
35 degree
90 degree
115 degree
80 degree
Step-by-step explanation:
A food distribution company has employees that order food supplies for local restaurants by predicting sales. The company pulls an SRS of 500 orders and finds that 408 orders were correct. Calculate and interpret a 95% confidence interval for the proportion of all orders that were correct
Answer:
(0.782, 0.85)
Step-by-step explanation:
Here
The sample size = 500
Number of favourable cases = 408
Confidence interval = 95%
Proportion of sample = 408/500 = 0.816
Critical value for alpha = 0.05 is z (1-alpha/2) = 1.96
Confidence interval = p -zc * sqrt (p(1-p)/n), p + zc * sqrt (p(1-p)/n)
Substituting the given values we get –
0.816-1.96 * sqrt (0.816(1-0.816)/500), 0.816+1.96 * sqrt (0.816(1-0.816)/500)
(0.782, 0.85)
Meg invested $16,000 in a savings account. If the annual interest rate is 6%, how much will be in the account in 5 years for quarterly compounding? Round your answer to two decimal places.
CORRECT ANSWER IS: 21549.68
Answer:
In 5 years the account will be $ 21,549.68.
Step-by-step explanation:
Given that Meg invested $ 16,000 in a savings account, if the annual interest rate is 6%, to determine how much will be in the account in 5 years for quarterly compounding, the following calculation must be performed:
16,000 x (1 + 0.06 / 4) ^ 5x4 = X
16,000 x 1,015 ^ 20 = X
16,000 x 1.34685500 = X
21,549.68 = X
Therefore, in 5 years the account will be $ 21,549.68.
Answer:
Step-by-step explanation:
A+?
P=$16,000
r=0.06
t=5
A=P(1+r/n)∧ nt
A=16,000(1+0.06/12)∧12⋅5
A=$21,581.60
What is the answer to this
Answer:
A
Step-by-step explanation:
Answer:
[tex]x < - 2[/tex]
Step-by-step explanation:
Hope it is helpful...
Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order
Answer:
31.82% probability that you will receive 2 apples.
Step-by-step explanation:
The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
5 + 7 = 12 total fruits, which means that [tex]N = 12[/tex]
7 apples, which means that [tex]k = 7[/tex]
You receive 2 fruits, which means that [tex]n = 2[/tex]
What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?
This is, as a proportion, P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182[/tex]
0.3182*100% = 31.82%
31.82% probability that you will receive 2 apples.
Add this up
(4k+1)+(3k+1)
Answer:
7k + 2
Step-by-step explanation:
(4k + 1) + (3k + 1) =
4k + 3k + 1 + 1 =
7k + 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
7k+2
Step-by-step explanation:
Determine the smallest integer value of x in the solution of the following inequality.
5x -5 > -18
Answer:
5x>-18+5
5x>-13
5x/5>-13/5
x>-2.6
State the next three terms of Fibonacci sequence 1,1,2,3,5,8,13
Answer:21 then 34
Step-by-step explanation: its just correct lol
What is the value of the missing angle (x+15)
Answer:
x = 70
Step-by-step explanation:
The total interior angle in a square, even with not a perfect square, adds to 360
Set your formula up as
360 = (x+15) + x + 115 + 90
360 - 115 - 90 - 15 = 2x
140 = 2x
140/2 = x
70 = x
help pls I'd appreciate it
Answer:
10
step by step solution is in the pic...
The area of a triangle with a height of 9 cm and a base of 6 cm is
Answer:
27 cm²
Step-by-step explanation:
Formula of Area Triangle = 1/2(base x height)
Base = 6 cm
Height = 9 cm
1/2 ( 6 x 9 ) = 1/2 ( 54 ) = 27
Units = cm * cm = cm²
27 cm²
Why the formula (1/2 ( base x height )) works:
Take a triangle
Duplicate the triangle
And rotate the triangle and put it next to the other one
What shape does it form?
Either a parallelogram or a rectangle
The formula for a parallelogram or rectangle is (base x height)
Since you are initially doubling the area of the triangle to get the rectangle, solve for the rectangle and divide by 2.
So, do base x height
And divide by 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Why can the value of the variable a in the expression a + 2 be any number?
Why does the variable b in the equation b + 2 = 5 have only one value?
Please help Without any links or without deleting the answer<3
Answer:
(a) Because the expression is not an equation
(b) Because the expression is an equation
Step-by-step explanation:
Solving (a): a + 2
The above expression can assume any value for a because it is not an equation.
Take for instance:
a = 2;
[tex]a + 2 \to 2 + 2 = 4[/tex]
[tex]a =-4[/tex]
[tex]a + 2 \to -4 + 2 = -2[/tex]
The reason for this is because the expression is not an equation
Solving (b): [tex]b + 2 = 5[/tex]
The above expression can assume only value for b, and the value is:
[tex]b + 2 = 5[/tex]
[tex]b = 5-2[/tex]
[tex]b =3[/tex]
This means that only [tex]b =3[/tex] will make the equation true.
The reason for this is because the expression is an equation
the graph shows the relationship between the amount of milk and water used in a recipe
Answer:
Multiply the amount of milk by 4
Step-by-step explanation:
Given
See attachment for graph
Required
The rule of the graph
Pick any two points on the graph
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (1,4)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 0}{1 - 0}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m =4[/tex]
The graph equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 4(x - 0) + 0[/tex]
[tex]y = 4(x)[/tex]
[tex]y = 4x[/tex]
The above shows that the x values are multiplied by 4 to get y
Subtract: ─ 32 ─ 128
Answer:
-160 is the answer
Step-by-step explanation:
- × - = +
+ × + = +
so,-32-128
=-160
In how many ways the letter of the word 'Nawalpur' be arranged in which no tow A's come together.
Answer:
below
Step-by-step explanation:
(8! - 7!)
= 35280
that is the procedure above
Yesterday, the temperature et noon was 11.4" misright, the tempe tine had decreed by 15.7 degrees what was the
Temperature at midnight
Answer:
-4.3 degrees
Step-by-step explanation:
if I understand the problem correctly, then the temperature at midnight fell 15.7 degrees from 11.4 degrees at noon.
11.4 - 15.7 = -4.3 degrees
so, the temperature at midnight was -4.3 degrees
Seven times the sum of twice a number and 16
Answer:
7(2x+16)
Step-by-step explanation:
first, we look at the part where it says the sum of twice a number and 16
let's represent the number by using x. since it says twice a number, that would mean 2x.
when it says the sum of twice a number and 16, this means that we have to add them, so we would get 2x+16.
finally, in the beginning it says seven times the sum of twice a number and x, which would mean that we would have to multiple 2x+16 by 7.
answer:
7(2x+16)
Simplify.
x^3 divided by x^5
Answer:
Step-by-step explanation:
x^3/x^5
=x^3-5
=x^-2
=1/x^2
Can anyone help pls? Thanks much appreciated
Answer:
x ≈ 5.7
Step-by-step explanation:
Recall, SOH CAH TOA.
We are given:
Reference angle = 35°
Opposite side length to reference angle = 4
Adjacent side = x
To find x, apply the trigonometric equation, TOA, which is:
Tan 35° = Opp/Adj
Substitute
Tan 35° = 4/x
x*Tan 35° = 4
x = 4/Tan 35°
x ≈ 5.7
if x varies directly as y write a formula connecting x and y y.use k as a constant of variation.
Answer:
x=KY
as x is directly proportional to y
What is the value of the expression below if y = 5?
35 = (y + 2) + 4
Answer:
11
Step-by-step explanation:
Using GEMDAS
G-Group
E-Exponent
M-Multiplication
D-Division
A-Addition
S-Subtraction
Step 1: Substitute the value y=5 in the equation
35÷(5+2)+4
Step 2: Evaluate the equation by computing first the parenthesis
35÷(7)+4
Step 3: Next divide 35 by 7
(5)+4
Step 4: Add
=9
The answer is 9.
Hi can someone help me with this pleaseee
Second choice.
Which is 1591.1 cm^2.