Given:
The equation of a line is
[tex]y=x-4[/tex]
To find:
The slope and y-intercept of the line.
Solution:
We have,
[tex]y=x-4[/tex] ...(i)
The slope intercept form of a line is
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=1,b=-4[/tex]
Slope of the line = 1
y-intercept of the line = -4
The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).
Therefore, the slope of the line is 1 and the y-intercept is (0,-4).
Write 10 3 without an exponent what number Is this ? 5.102+ 3
The value of 10^3 in standard form is 1000
Exponents and valuesGive the exponential form 10^3
This means the product of 10 in 3 places. Mathematically;
10^3 = 10 * 10 10 * 10
10^3 = 100 * 10
10^3 = 1000
Hence the value of 10^3 in standard form is 1000
Learn more on standard form here: https://brainly.com/question/19169731
taria has 14 pencils, Ted has 9 pencils, Tom has 12
encils, Lucinda has 13 pencils, and Jumana has 12
encils How can they redistribute the pencils so that
they all have the same amount How many pencils
hould each person have
Answer:
that would all have 7 pencils each
Answer:
Maria should give away 2 pencils. Ted should get 3 pencils. Lucinda should give away 1 pencil. Everyone should have 12 pencils.
A person places $85800 in an investment account earning an annual rate of 8.5%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 9 years.
Answer:
$184383.7
Step-by-step explanation:
We are given that
Principal, P=$85800
Rate of interest, r=8.5%=0.085
Time, t=9 years
We have to find the amount of money after 9 years
[tex]V=Pe^{rt}[/tex]
Using the formula
[tex]V=85800e^{0.085\times 9}[/tex]
[tex]V=184383.7[/tex]
Hence, the amount of money after 9 years=$184383.7
Which of the following lines goes through the point (0,4) and is parallel to y = 5 x - 3?
M
O =
y = 5 x + 4
W
y= 5 x-7
y = -5 X-3
Find c.
Round to the nearest tenth:
Answer:
Step-by-step explanation:
2/Sin(105) = c / sin(15)
2 * sin(15) = c * sin(105) Divide by Sin(105)
2 * sin(15)/Sin(105) = c
2 * 0.2679 = c
c = 0.539
c = 0.5
Given the following sets:
A = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
B = {3, 6, 9, 12, 15, 18}
C = {4, 8, 12, 16, 20}
Find:
n (A)
Answer:
n (A) = { 2,4,6,8,10,12,14,16,18,20}
n(A) = 10
I hope it helps
There are 750 students at school. The ratio of the number of students who do not wear glasses to the number of students who wear glasses is 500:250. Which of the following statements are correct? Select ALL that apply.
Answer:
what are the options
Step-by-step explanation:
Q1: In the isosceles triangle below the legs are twice the
length of the base. The perimeter is 100 cm. What are the
dimensions of the isosceles triangle?
Answer:
The base of the triangle has a size of 20 cm, while each side has a size of 40 cm.
Step-by-step explanation:
An isosceles triangle is one that has two sides with an identical value, and one side with a different value from the previous ones. Thus, in the case the base will have a different value from the sides. In this regard, the perimeter (the sum of the sides) of the triangle is 100 cm, and the longest sides are twice the size of the base. Therefore, to determine the value of each side of the triangle, the following calculation must be performed:
X + 2X + 2X = 100
5X = 100
X = 100/5
X = 20
Thus, the base of the triangle has a size of 20 cm, while each side has a size of 40 cm.
what is 6 more than -3 in integers
Answer:
3
Step-by-step explanation:
-3 + 6 would be 3.
hope it helps!
In 1990, the cost of tuition at a large Midwestern university was $99 per credit hour. In 2003, tuition had risen to $268 per credit hour
Answer:
63%
Step-by-step explanation:
From the question, we aim to find the percent increase in the tuition
Given data
initial cost= $99 per credit hour
Final cost= $268 per credit hour
% increase= (Final - initial )/initial *100
substitute
% increase= (268- 99 )/268 *100
% increase= 169 /268 *100
% increase= 0.630*100
% increase= 63%
Hence the increase in the tuition from 1990 to 2003 is 63%
A computer technician charges $60 for coming to your house plus $76 per hour for labor. If the total bill for repairs is $269, how long did the work take?
Answer:
[tex]2\frac{3}{4}[/tex] or 2.75, depending on what you need.
Step-by-step explanation:
Subtract $269 by the service fee ($60). This will be $209.Divide $209 by $76 to calculate hours. This will be 2.75.(optional) We know that 0.75 is [tex]\frac{3}{4}[/tex], so let's take 2.75 and convert it into [tex]2\frac{3}{4}[/tex]. This is your answer.3.
On a coordinate plane, a line segment has P(6,2) and Q(3,8).
Point M lies on PQ and divides the segment so that the ratio
of PM:MQ is 3:2. What are the coordinates of point M?
A. (4.5, 5.0)
B. (5.6, 4.2)
C. (4.8, 4.4)
D. (4.2, 5.6)
Answer:
[tex]M(x,y) = (4.8,4.4)[/tex]
Step-by-step explanation:
Given
[tex]P(x_1,y_1) = (6,2)[/tex]
[tex]Q(x_2,y_2) = (3,8)[/tex]
[tex]m:n = PM:MQ = 3 : 2[/tex]
Required
Determine the coordinates of M
To solve this, we make use of the following partition formula:
[tex]M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})[/tex]
Substitute values for m, n, x's and y's
[tex]M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})[/tex]
[tex]M(x,y) = (\frac{24}{5},\frac{22}{5})[/tex]
[tex]M(x,y) = (4.8,4.4)[/tex]
Option D is correct
A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 51 feet less than the height of the pole. If the wire is to be 24 feet longer than the height of the pole, what is the height of the pole?
Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
Homework 9.4 Equations and Word Problems
The flag of a country contains in the senseless triangle if the measure of the third angle of the triangle is 30° more than twice the measure of either of the other two angles find the measure of each angle of the triangle
Answer:
idc
Step-by-step explanation:
Which of the following expressions is equivalent to 1 over 4 open parentheses 8 x plus 12 close parentheses ?
A: 2x+12
B: 5x
C: 2x+3
D: 14x
Is a=2.1, b=7.2, c=7.5 a right triangle?
Answer:
Yes
Step-by-step explanation: Use the pythagorean theorem to see if true, a^2+b^2=c^2
Answer:
Yes it is
Step-by-step explanation:
2.1
A copy machine makes 28 copies per min. How long does it take to make 119 copies?
Answer:
4 minutes and 15 seconds
Step-by-step explanation:
119/28 = 4.25 (minutes)
.25 of a minute is 15 seconds, so the answer is 4 minutes and 15 seconds
Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 11/2 cups
of sugar. What is the maximum number of cookie batches he can make?
Answer:
He can make only one batch of cookies.
Step-by-step explanation:
Just by mental math you can say he can make maximum one batch of cookies.
Total sugar = 10 cups
sugar used for lemonade = 2 cups
leftover sugar = 8 cups
For 1 batch of cookie sugar needed = 11/2
which means 5 and 1/2 cups
And he's just left with 8 cups of sugar after lemonade
8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch
That means the maximum number of cookies batches is 1.
Another way to solve it by inequality:
2+Il/2 X < 10
11/2 X < 8
11X < 16
X < 1 6/11
So he can make only one batch of cookies.
Hurry pls need answers
10pts
Answer:
Why is the pic black
Step-by-step explanation:
(3x ^ 2 - 4 + x ^ 3) / (x - 1)
Synthetic Division
Answer:
i love algebra anyways
the ans is in the picture with the steps
(hope it helps can p lz have brainlist it will make my day
Step-by-step explanation:
Find the diffrence between 7/8 and 1/2 and find the sum of 1/5 and 2/3
Answer:
3/8 and 13/15
Step-by-step explanation:
find the common denominator
Jamey has 4 quarters, some dimes, and some pennies. If the ratio of quarters to dimes is 8 : 6 and the ratio of pennies to dimes is 7 : 3, then how many pennies does Jamey have?
Answer:
7
Step-by-step explanation:
the ratio of [pennies to dimes is 7:3.... 7 represents pennies and 3 dimes
By the given ratio, Number of pennies does Jamey have are 7.
What is a ratio?"A ratio compares values. A ratio says how much of one thing there is compared to another thing."
According to the question
Jamey has 4 quarters, some dimes, and some pennies.
Ratio of quarters to dimes is 8:6
So, [tex]\frac{4}{d}=\frac{8}{6}[/tex]
⇒ [tex]8d = 6(4)[/tex]
⇒ [tex]d=\frac{6}{2}[/tex]
⇒ [tex]d=3[/tex]
Ratio of pennies to dimes is 7 : 3
So, [tex]\frac{p}{d}=\frac{7}{3}[/tex]
By substituting d = 3
⇒ [tex]\frac{p}{3}=\frac{7}{3}[/tex]
⇒ [tex]p = \frac{7}{3}(3)[/tex]
⇒ [tex]p =7[/tex]
Hence, number of pennies does Jamey have are 7.
Learn more about ratio here
https://brainly.com/question/10167786
#SPJ2
Find the surface area of this rectangular prism: Don't forget to show the unit of measure.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the attachment of the prism is not given.
From the attachment:
[tex]L =10cm[/tex] -- Length
[tex]W = 4cm[/tex] -- Width
[tex]H=5cm[/tex] -- Height
Required
Determine the volume
So, the volume is:
[tex]Volume = Length * Width (* Height[/tex]
[tex]Volume = 10cm * 4cm * 5cm[/tex]
[tex]Volume = 200cm^3[/tex]
Fourth eight time four
Answer:
2
Step-by-step explanation:
We have a multiplication problem within a whole number and a fraction.
When multiplying fractions with whole numbers, you always multiply the whole number with the numerator of the fraction.
[tex]\frac{numerator}{denominator}[/tex]
[tex]\frac{4}{8} *4[/tex]
[tex]\frac{4*4}{8}[/tex]
[tex]\frac{16}{8}[/tex]
Divide 16 by 8 :
[tex]2[/tex]
Check all the statements that are true:
a. A predicate is a proposition-valued function.
b. It is possible to define disjunction using only negations and conjunction.
c. A conditional is false when both premise and conclusion are false.
d. Domain-restricted universal quantification is logically equivalent to the unrestricted universal quantification of a conditional.
e. The negation of a conjunction is the disjunction of the negations.
f. Inverse and converse are logically equivalent.
g. (p→q)∧(p→¬q) is a contradiction.
h. (p→q)∨(p→¬q) is a tautology.
i. Domain-restricted existential quantification is logically equivalent to the unrestricted existential quantification of a conditional.
j. The contrapositive is the inverse of the converse.
Answer:
a. True
b. False
c. True
d. True
e. False
f. True
g. False
h. True
i. True
j. True
Step-by-step explanation:
The statement a and i are true. The predicates can be defined without an input variable. These numerical variables can be defined without an input variable. The statement b is false since the p to q is not in conjunction rather its contradiction.
Answer:
true
false
true
true
false
true
false
true
true
true
Find the missing value.
Hint: Use the number line to find the missing value.
The answer is -12! Good luck!
The price of oil decreased from $52 per barrel to $48 per barrel. What is the percentage decrease in the price of oil? Round your answer to the nearest tenth of a percent.
Answer:
7.7%
Step-by-step explanation:
Given that,
The price of oil decreased from $52 per barrel to $48 per barrel.
We need to find the percentage decrease in the price of oil. It can be calculated as follows :
[tex]\%=\dfrac{52-48}{52}\times 100\\\\=7.69\%[/tex]
or
= 7.7%
So, the percentage decrease in the price of oil is 7.7%.
Answer:7.7%
Step-by-step explanation:
Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52
Answer:
46, 30, 24, 18, 12
Step-by-step explanation:
This table shows how long, in minutes, it takes Jeremiah to run his miles.
How long does it take him to run 5 miles? *
Answer:
45
Step-by-step explanation:
follow the table of 9.
9x2=18
9x3=27
9x4=36
9x5=45
12. The win-loss record for a football team is 15 wins and 9 losses. What percent of their games
did they win?
Answer:
62.5%
Step-by-step explanation:
if they won 15 and lost 9 games then they played a total of 24 games (15+9). Then you just divid the number of wins (15) by the total number of games they played (24). SO, 15/24=0.652 or 62.5%