Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5)
Answers
Answer:
I graphed the equation on the graph below.
Step-by-step explanation:
y − 4 = -3(x + 5) Distribute
y - 4 = -3x - 15
+ 4 + 4 Add 4 to both sides
y = -3x - 11 This is the equation in slope-intercept form, which is easier to graph
A line is a one-dimensional shape that is straight. The equation y-4 = -3(x + 5) can be represented on a graph as shown below.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
If we solve the given equation, the equation will reduce in the form of an equation of a line, therefore, the equation can be written as,
y − 4 = -3(x + 5)
y - 4 = -3x - 15
y = -3x - 15 + 4
y = -3x - 11
Hence, the equation y-4 = -3(x + 5) can be represented on a graph as shown below.
Learn more about Equation of Line:
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Related Questions
Diane's bank is offering 5% interest, compounded monthly. If Diane invests $10,500 and wants $20,000 when she withdrawals, how long should she keep her money in for? Round to the nearest tenth of a year.
Answers
Answer:
The time period is 13 years.
Step-by-step explanation:
Interest rate (r )= 5% or 5%/12 = 0.42% per months
The investment amount (Present value) = $10500
Final expected amount (future value) = $20000
Since we have given the initial amount and final amount. Therefore we have to calculate the time period for which the initial amount is kept in the bank.
Use the below formula to find the time period.
Future value = present value (1 + r )^n
20000 = 10500(1+0.0042)^n
1.9047619 = (1+0.0042)^n
1.9047619 = 1.0042^n
n = 153.74 months.
Time in years = 153.74 / 12 = 12.8 years or 13 years (round off)
Copy the diagram and oaloulate the sizes of
a bº and cº. What is the sum of the angles of
the triangle?
Answers
Answer:
sum of the angles of the triangle are 180°
Step-by-step explanation:
To find the sum of the interior angles, we use the formula( s-2*180), where s is the number of sides of the shape. If it is a pentagon, 5-2*180= 3*180= 540,
which shows that the sum of the interior angles of a pentagon is 540.
since, it is a triangle in the figure with 3 sides, 3-2*180=1*180=180.
The interior angles are unknown= a, b and c. we know that a+b+c=180 degrees and the exterior angles are mentioned. And we know that, opposite angles are equal. So, a is 40 degrees considering that 40 degrees is the opposite angle of a, b is 95 degrees whereas c is 45 degrees.
now, lets check if the angles indeed have a sum of 180 degrees,
40+95+45= 135+45 which gives 180 degrees.
Answer:
180°
Step-by-step explanation:
→ Angles in a triangles always add up to 180, we can prove this by calculating a, b and c so,
a = 40° (vertical angles are equal)
b = 95° (vertical angles are equal)
c = 45° (vertical angles are equal)
40 + 45 + 95 = 85 + 95 = 180°
How many different simple random samples of size 5 cab be obtained from a population whose size is 46
Answers
Answer:
1370754
Step-by-step explanation:
From what I can see, you are probably studying combinations and permutations at the moment. Since this is a question about how many groups of five can be produced from a sample size of 46, the groups are random and not in order, which may rule for us to use the combination formula.
Once you compute this, this answer is basically saying that 1370754 groups of 5 can be created from a sample size of 46
Please Help. Which system of linear equations is represented in the graph?
Answers
Answer:
y = x - 3
y = -5x +2
Step-by-step explanation: for The "missing" coefficient of x (m in the y=mx+b format) is an implied +1. So the slope is "up-one & over one." y-intercept is -3
y = -5x +2 The slope is -5 so "down 5 & over 1" on the graph, The y-intercept is +2
simply expression 1+5v+v
Answers
Answer:
1 + 6v
Step-by-step explanation:
1+5v+v
Combine like terms
1 + 6v
Answer:
6v + 1
Step-by-step explanation:
1 + 5v + v
Apply rule : a = 1a
1 + 5v + 1v
Combine like terms.
5v + 1v + 1
(5 + 1)v + 1
(6)v + 1
6v + 1
In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C is (10 x + 8) degrees. 5.5 6.5 55 65
Answers
Answer:
x = 6.5
Step-by-step explanation:
The sum of the angles of a triangle is 180
8x+ 10x-10 + 10x +8 = 180
Combine like terms
28x -2 = 180
Add 2 to each side
28x-2+2 = 180+2
28x=182
Divide by 28
28x/28 = 182/28
x =6.5
Answer:
x = 6.5
Step-by-step explanation:
In a triangle, the sum of the measures of the angles equals 180 deg.
8x + 10x - 10 + 10x + 8 = 180
28x -2 = 180
28x = 182
x = 6.5
what 4.2 times 0.7 /a is 294 /b is 2.94 /c 29.4
Answers
Answer:
29.4
Step-by-step explanation:
Answer:
2.94
Step-by-step explanation:
4.2 × 0.7 = 2.94
What is the measure of angle S?
480
56°
930
101°
Answers
Answer:
m∠s = 93°
Step-by-step explanation:
We know that any quadrilateral's sum of angles adds up to 360°. In that case,
360 - (56 + 132 + 79) = m∠s
m∠s = 93°
Answer:
S° = 93 °
Step-by-step explanation:
[tex]The- diagram- is- a- trapezoid (quadrilateral)\\Sum- of- angles-in a- quadrilateral = 360\\ 132\° + 56\° + 79\° + x\° = 360\° \\267\° + x\° = 360\° \\x = 360 \° - 267 \° \\x\° = 93\°[/tex]
Rachel has completed 2/3 of her shift; Jose has completed 1/6 of his shift; Damon has finished 4/5 of his shift; and Stacy has 6/7 of her shift remaining. Out of the four employees, who has completed the most work time? A. Damon B. Rachel C. Stacy D. Jose
Answers
Answer:
C. Stacy
Step-by-step explanation:
One way to compare is to convert all the fractions into decimals
Rachel works 2/3 of her shift: Approximately= 0.667
Jose works 1/6: approx. = 0.1667
Damon works 4/5= 0.80
Stacy works 6/7: approx. = 0.8571
Now this makes it much easier to compare
And since 0.85714 (Stacy's shift) is the largest number, Stacy has completed the largest portion of her shift
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answers
Answer: a) 8.779 years
b) 8.664 years
Step-by-step explanation:
a)
[tex]A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}[/tex]
A: accumulated amount (balance)P: principal amount (original/initial investment)r: interest rate (convert to a decimal)n: number of times compounded per yeart: number of yearsGiven: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown
[tex]1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}[/tex]
b)
[tex]A=Pe^{rt}[/tex]
[tex]1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}[/tex]
What is jc ? (Picture included)
Answers
Answer:
jc is 40 i think
Step-by-step explanation:
Answer:
40(Maybe)
Step-by-step explanation:
I'm not 100% sure that 40 is correct but I'm pretty sure it is.
PLEASE HELP!!! You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
Answers
Answer:
1140 ways.
Step-by-step explanation:
The applicable formula is: (n +r - 1)C(r-1), where n is the number of identical items (the candies), and r is the possible number of recipients (the kids).
The 17 identical candies, can be distributed among the 4 children in :
=(17 + 4 - 1)C(4–1) = 20C3 ways.
= 20!/((20–3)!*3!) ways.
= 20*19*18*17!/(17!*(3*2*1)) = 20*19*18/6 ways
= 20*19*3 ways.
=1140 ways.
Please answer this correctly
Answers
Answer:
1/9
Step-by-step explanation:
first, u need 9 ---> 1/3
then u need 8 ---> 1/3 also
Multiply them and get...1/9
Hope this helped
There are 4 Board of Directors positions open. 2 will be for men, 2 will be for women.
Out of 20 candidates, 11 are men, 9 are women. How many total outcomes are
possible?
Answers
Answer:
4290
Step-by-step explanation:
Lets find the total number of men and women .
9 women are out and 2 became the member of the Board=> total 11 women
11 men are out and 2 became the member of the Board=> total 13 men
11 women-candidates for 2 positions can make C11 2 outcomes =11!/(11-2)!/2
13 men-candidates for 2 positions can make C13 2 outcomes= 13!/(13-2)!/2
The total number of outcomes is C11 2 *C13 2 = 13!*11!/9!/11!/2/2=
10*11*12*13/2/2=11*13*5*6=4290 outcomes
Calculate
(14x5x4) / (28 x 2)
Answers
Answer:
5
Step-by-step explanation:
(14 × 5 × 4) ÷ (28 × 2)
Solve brackets.
280 ÷ 56
Divide.
= 5
Choose the correct number to finish the sentence. For the function f(x)=√x+4, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is? A. 0.2 B. 0.17 C. 0.16 D. 0.18
Answers
Answer:
See below under "explanation".
General Formulas and Concepts:
Algebra I
Functions
Function NotationAverage Rate of Change Formula:
[tex]\displaystyle \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}[/tex]
Step-by-step explanation:
*Note:
The function is unclear, so I will provide 2 possible answers.
Step 1: Define
Identify given.
[tex]\displaystyle \begin{aligned}1. \ f(x) & = \sqrt{x} + 4 \\2. \ f(x) & = \sqrt{x + 4} \\\end{aligned}[/tex]
[tex]\displaystyle \text{Interval: } 2 \leq x \leq 6[/tex]
Step 2: Find Average Rate of Change
For the 1st function:
[tex]\displaystyle\begin{aligned}\text{Average Rate of Change} & = \frac{\big( \sqrt{b} + 4 \big) - \big( \sqrt{a} + 4 \big)}{b - a} \\& = \frac{\big( \sqrt{6} + 4 \big) - \big( \sqrt{2} + 4 \big)}{6 - 2} \\& = \frac{\sqrt{6} - \sqrt{2}}{4} \\& = 0.258819 \\& \approx \boxed{0.26} \\\end{aligned}[/tex]
∴ the average rate of change, if using the 1st defined function, will be approximately 0.26.
For the 2nd function:
[tex]\displaystyle\begin{aligned}\text{Average Rate of Change} & = \frac{\sqrt{b + 4} - \sqrt{a + 4} }{b - a} \\& = \frac{\sqrt{6 + 4} - \sqrt{2 + 4}}{6 - 2} \\& = \frac{\sqrt{10} - \sqrt{6}}{4} \\& = 0.178197 \\& \approx \boxed{0.18} \\\end{aligned}[/tex]
∴ the average rate of change, if using the 2nd defined function, will be approximately 0.18.
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Topic: Algebra I
Q‒1. [5×4 marks] a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6? (150) b) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once? c) How many odd numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once? d) How many three-digit numbers greater than 330 can be formed from the digits 0, 1, 2, 3, 4, 5, and 6? e) How many three-digit numbers greater than 330 can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once?
Answers
Answer:
a) 294
b) 180
c) 75
d) 174
e) 105
Step-by-step explanation:
I assume that for each problem, the first digit can't be 0.
a) There are 6 digits that can be first, 7 digits that can be second, and 7 digits that can be third.
6×7×7 = 294
b) This time, no digit can be used twice, so there are 6 digits that can be first, 6 digits that can be second, and 5 digits that can be third.
6×6×5 = 180
c) Again, each digit can only be used once, but this time, the last digit must be odd.
If only the last digit is odd, there are 3×3×3 = 27 possible numbers.
If the first and last digits are odd, there are 3×4×2 = 24 possible numbers.
If the second and last digits are odd, there are 3×3×2 = 18 possible numbers.
If all three digits are odd, there are 3×2×1 = 6 possible numbers.
The total is 27 + 24 + 18 + 6 = 75.
d) If the first digit is 3, and the second digit is 3, there are 1×1×6 = 6 possible numbers.
If the first digit is 3, and the second digit is greater than 3, there are 1×3×7 = 21 possible numbers.
If the first digit is greater than 3, there are 3×7×7 = 147 numbers.
The total is 6 + 21 + 147 = 174.
e) If the first digit is 3, and the second digit is greater than 3, then there are 1×3×5 = 15 possible numbers.
If the second digit is greater than 3, there are 3×6×5 = 90 possible numbers.
The total is 15 + 90 = 105.
Which number is equivalent to [tex]\frac{3^4}{3^2}[/tex]?
A. 2
B. 9
C. 81
D. 729
Answers
Answer:
B. 9
Step-by-step explanation:
When there are exponents with the same base in a fraction, they can be simplified by subtracting.
We can take out 2 on both the top and bottom, leaving us with 3^2 over 1
3x3 is 9 and 9/1 is still 9
Answer:
9
Step-by-step explanation:
Since the bases are the same, we can subtract the exponents to accomplish the division
a^b / a^c = a^ (b-c)
3^4 / 3^2
3^ (4-2)
3^2
9
A 6-digit number has at least one even digit in its record. How many such numbers are there? (0 is an even digit)
Answers
Answer:
884,375
Step-by-step explanation:
The first digit can't be 0, so there are 9×10⁵ = 900,000 possible six-digit numbers.
Of those, the number of six-digit numbers that have only odd digits is 5⁶ = 15,625.
Numbers with at least one even digit are all numbers that don't have only odd digits. So the number of six-digit numbers with at least one even digit is:
900,000 − 15,625 = 884,375
It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that exactly three of five chosen calculators are defective
Answers
Answer:0.0081 or 0.81%
Step-by-step explanation:
The required probability is P(3,5,0.1)= C5 3 * p^3*q^2, where
C5 3= 5!/3/2=4*5/2=10
p is the probability that one randomly selected calculator is defective= 10%=0.1
q is the probability that one randomly selected calculator is non-defective.
q=1-p=1-0.1=0.9
So P(3,5,0.1)= 10*0.1^3*0.9^2=0.01*0.81=0.0081
Which statements about the dilation are true? Check all that apply. Triangle X prime Y prime Z prime. Point X prime is 2 units from the center of dilation C and point Z prime is 3 units from the center of dilation. Triangle X Y Z. Point X is 5 units from point C and point Z is 7.5 units from point C.
Answers
Answer:
A,B,E
Step-by-step explanation:
Just took the quiz
Answer:
A,B,E
Step-by-step explanation:
Give me brainliest.
Joan is selling handmade bead necklaces
at a local art fair. She paid $180 to
reserve her booth. The cost of supplies
for each necklace averages $2. So, her
cost, y, for x necklaces is represented by
y = $180 + 2x. If she sells her necklaces
for $12, her revenue, y, is represented
by y = 12x.
The solution of this system is the break-
even point, the point beyond which she
starts making a profit.
HELP PLS QUICK
Answers
Answer:. x = 18
Step-by-step explanation:
Solve by substitution. Given: y= 12x. Rewrite the original equation y= 180 + 2x to 12x = 180 +2x. Subtract 2x from both sides. 10x = 180. Then divide both sides by 10.
x=18
So once she has sold 18 necklaces, she has covered her costs (180 + 36) and she begins to make a profit.
Two identical decks of 52 cards are mixed together, yielding a stack of 104 cards. How many different ways are there to order this stack of 104 cards?
Answers
Answer:
here the order will be 104! =[tex]1.029e^{166}[/tex]
Step-by-step explanation:
since the cards are to arranged in no particular order that is why we used combination to find the result.
Combination can simply be explained as the method of selecting items from a collection of items where the order of the selections does not matter.
Please help I don’t understand And I need an explanation
Answers
Hey there! :)
Answer:
56 m².
Step-by-step explanation:
To find the area, simply split the figure into a triangle and rectangle. Solve for the areas separately:
Solve for the rectangle: (A = l × w)
A = 8 × 5
A = 40 m²
Solve for the triangle: (A = 1/2 (bh))
A = 1/2(4 · 8)
A = 1/2(32)
A = 16 m².
Add up the two areas:
40 + 16 = 56 m².
Answer:
Area of triangle+ the area of rectangle
Step-by-step explanation:
Since, area of triangle is 1/2×base×height in right angled triangle, 1/2×4×8: 1/2×32= 16m²
Area of rectangle is length × breadth= 5×8: 40 m²
Area of the shape is 40m²+16m²= 56m²
If I ride a bicycle at a rate of 5m/s,how long will it take me to ride a distance of 12km at the same rate?
Answers
Step-by-step explanation:
given,velocity = 5 m/s
and distance=12×1000=12000m
now,time =?
we have , v=s/t
or, t= s/v
so,t=12000/5
2400sec.....ans
=
Justin solved 15 problems of the recent math quiz. His classmate Jordan solved 3 more problems than Justin. Another classmate of Justin, Jeremy also solved some problems and they all together solved 37 problems. Who solved the most number of problems?
Answers
Answer:
Jordan
Step-by-step explanation:
Problems solved by Jordan = 15 + 3 = 18
Total problems solved = 37
Problems solved by Justin + problems solved by Jordan + problems solved by Jeremy = 37
15 + 18 + problems solved by Jeremy = 37
33 + problems solved by Jeremy = 37
Problems solved by Jeremy = 37 - 33
Problems solved by Jeremy = 4
So, Jordan solved most number of problems
Answer:
Jordan solved the most number of problems.
Step-by-step explanation:
Justin solved 15 problems
Jordan solved 15+3 = 18 problems
Jeremy solved 37 - (15+18) = 37 - 33 = 4 problems
helpppppppppppppppppppppppp pleaseeeeeeeeeee
Answers
Answer:
6 stickers
Step-by-step explanation:
84/14 =6
Answer:
6 stickers each
Step-by-step explanation:
have a great day
algebra ...........................
Answers
Answer:
see explanation
Step-by-step explanation:
Given that y is inversely proportional to x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion
(a)
To find k use the condition when y = 7 , x = 9, that is
7 = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )
63 = k
y = [tex]\frac{63}{x}[/tex] ← equation of proportion
(b)
When x = 21, then
y = [tex]\frac{63}{21}[/tex] = 3
Tammy and Lawrence like to bike competitively. Tammy biked seven less than three times the number of miles that Lawrence biked. If c represents the number of miles Lawrence biked, write an expression for the number of miles Tammy biked.
Answers
Answer:
3c - 7
Step-by-step explanation:
c - the number of miles Lawrence biked
Tammy biked seven less than three times the number of miles that Lawrence biked.
So, 3 x c (the # of miles Lawrence biked) - 7 (she biked seven less)
The answer is 3c - 7.
Please answer question now
Answers
Answer:
∠CED
or
∠DEC
its the same thing
Step-by-step explanation:
E is the angle