Answer:
f(x) = - 4x - 34
Step-by-step explanation:
Given
f(x) = - 4(x + 7) - 6 ← distribute parenthesis
= - 4x - 28 - 6 ← collect like terms
= - 4x - 34
Write a linear function f with f(0)=3 and f(−6)=3.
f(x)=
Answer:
y = 3
Step-by-step explanation:
The equation of a line is;
y = mx + c
Now, when f(0) = 3, it means at x = 0, y = 3.
Thus;
3 = 0 + c
3 = c
Also, f(−6) = 3
Thus;
3 = -6m + 3
6m = 3 - 3
6m = 0
m = 0/6
m = 0
Thus,equation is;
y = c
y = 3
Find the inequality represented by the graph - khan academy
PLEASE HELP
Answer:
y ≤ x - 1
Step-by-step explanation:
The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.
Please help me with these questions ASAP!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
For the first picture: m angle t=36 and m angle v=54
For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180
Step-by-step explanation:
For the first picture, you had to do 2x+3x+90=180
We got the 90 from the right triangle.
Then you combine like terms, which was then 5x=90=180
Then, you subtract the 90 from both side, leaving 5x=90
Divide 90 by 5, which gives you x=18
For both the answers, you had to do 2(18) for T and 3(18) for V
The second picture, you did (8y + 1) + (5y + 5)= 136
You combine like terms, which levas you with 13y + 6 = 136
You subtract 6 from both sides, leaving you with 13y= 130
Divide 130 by 13, which is 10 so y=10
You then replace the y for (8y + 1) to 10 and solve
As well as for (5y + 5), you replace the y with 10 and solve
And m angle QRP is 180 because every triangle has a total of 180 degrees
Hope this helped!
can someone solve a - 3 over 7 s = -8
and a + 24 = -15
STEP BY STEP PLEASE.
Answer:
a=-39; s=0.75
Step-by-step explanation:
Solve the System of Equations by Substitution.
First, solve one of the equations for a variable. I'll do the 2nd one because it only has one variable.
a+24=-15 -------> a=-39
Now we know what a is just plug it back into the other equation and get s.
[tex]\frac{a-3}{7s} =-8[/tex]
[tex]\frac{-39-3}{7s} =-8[/tex]
[tex]\frac{-42}{7s} =-8[/tex]
Switch the -8 and 7s
[tex]\frac{-42}{-8} =7s[/tex]
Simplify the fraction
5.25=7s
Divide by 7 to isolate the s
0.75=s
Answer:
2)a+24=-15
a=-15-24
a=-39
Step-by-step explanation:
Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20
Answer:
Ameliorate retort, pertaining to reinstating interrogate is B., -12.
Step-by-step explanation:
Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:
Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.
*Hope this helps.
A student is writing a research paper and must include sources from both magazines and books.
The student is required to have at least 15 sources.
• At least 6 sources must be magazines, m.
• No more than 7 sources can be books, b.
Which set of inequalities best represents the constraints on the number of sources for the research paper ?
m2 6
b20
m+bs 15
m>O
m+b 13
m+bs 15
m2 6
0
m + b 2 15
0< ms 6
db27
m+bs 15
No
Answer this please and fast
Answer:
The 3rd answer because each income has an outcome.
Step-by-step explanation:
Answer:
4th option is correct.
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The third side is 3√6 units.
Step-by-step explanation:
Given that this is a 90° triangle so you can apply Pythagoras Theorem :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]
[tex] {a}^{2} = 90 - 36[/tex]
[tex] {a}^{2} = 54[/tex]
[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]
just use theorem pythagoras
What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 squared ? (6 points)
4 y cubed over 5 x to the fourth power
4 y to the fourth power over 5 x cubed
5 x to the fourth power over 4 y cubed
5 x cubed over 4 y to the fourth power
Answer:
5 x to the fourth power over 4 y cubed
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.
Answer: m
one set of ordered pair
b
(In that order)
Step-by-step explanation: Took the test just now, your welcome.
a scientist is studying the growth of bacteria the bacteria double every 20 min if there are 5 bacteria at the beginning how many bacteria will be there in 2 hours?
Answer:
15,625
Step-by-step explanation:
2h=120m
120/20 = 6
5^6 = 15,625
Need help
Hurry!!!!!!!!
Answer:
sorry
Step-by-step explanation:
Answer: thats soo ez just do it
Step-by-step explanation:
Help look at picture attached I will mark brainliest
Answer:
angle 3=145
Step-by-step explanation:
1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35
if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145
A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?
Answer:
60 in or 5 FT
Step-by-step explanation:
6 x 10 = 60 in
:D
Plsss help meeeeeeeeeeeee
Answer:
x = 8
y = 14
Step-by-step explanation:
It's given in the question,
ΔABC ≅ ΔDEF
Therefore, by the property of congruence,
EF = BC, AB = ED and AC = FD
And m∠E = m∠B
Since, m∠E = m∠B
(6y - 4) = 80
6y = 80 + 4
6y = 84
y = 14
Since, AB = ED
10 = 3x - y
10 = 3x - 14
3x = 24
x = 8
3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.
The equation of the line of best fit is y = 70.28x + 425.77.
Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?
211
372
496
637
The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.
The line of best fit is:
y = 70.28x + 425.77
Plug x = 3 in the line of best fit:
y = 70.28(3) + 425.77
y = 21.084 + 425.77
y = 636.61 minutes ≈ 637 minutes
Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
Learn more about the line of best fit here:
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What is the value of x?
A. 20
B. 30
C. 45
D. 60
E. 90
The sum of all the angles in a triangle is equal to 180°
Since the given triangle is an isosceles ∆ therefore the angles opposite to the equal sides with also be the same.
now from the diagram: 90° + 2x° = 180°
Therefore x = 45
Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted
How many mammals were there when they were originally counted?
Enter your answer in the box
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The y-intercept.is 75.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Step-by-step explanation:
im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.
Order the following numbers from least to greatest (15 Pts)
Answer:
-5.1 , -14/3, -4
Step-by-step explanation:
In the negative side of the numberline -5 is lesser than -14/3 and -4.
Also -14/3 is aproximatedly -4. 6. so its less than -4
Answer:
1. -5.1
2. - 14/3
3. -4
Explanation:
- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.
Hope this helps!
I hope I explained well!
A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
166 m 3
70 m 3
84 m 3
140 m 3
Answer:
The volume of a rectangular prism = V = 140 m³
Step-by-step explanation:
Given:
Length l = 4 mWidth w = 5 mHeight h = 7 mTo Determine:
The volume of rectangular prism = VUsing the formula to determine the volume of the prism
V = l × w × h
V = 4 × 5 × 7
V = 140 m³
Therefore, the volume of a rectangular prism = V = 140 m³
2x + 3 = x -4
what is the answer
Answer:
Step 1: Subtract x from both sides.
2x+3−x=x−4−x
x+3=−4
Step 2: Subtract 3 from both sides.
x+3−3=−4−3
x=−7
Answer:
x=−7
A scuba diver is 20 feet below the surface of the water 14 seconds after he entered the water and 100 feet below the surface after 30 seconds. What is the scuba divers rate of change?
Answer:
1 foot = 0.7 secs
Step-by-step explanation:
14 seconds divided by 20 feet = 0.7 seconds per foot descended.
Hope this helps and good luck :)
Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.
Answer:
The equation of a line:
x = 3The graph of the line is attached below.
Step-by-step explanation:
Given the points
(3, -4)(3, -1)Finding the slope between (3,-4) and (3,-1)
(x₁, y₁) = (3,-4)
(x₂, y₂) = (3, -1)
Using the slope formula
m = y₂-y₁ / x₂-x₁
= -1-(-4)) / 3 - 3
= -1 + 4 / 0
m = ∞
The slope of the line is undefined, then, by definition, the line would be a vertical line.
As the line that passes through the points (3,-4) and (3,-1)
For a vertical line, the value of x is the same for each and every value of y.Thus, the equation of a line:
x = 3The graph of the line is attached below.
Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________
Answer:
$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.101. The sales tax of a sweater = $1.2
2. The sales tax of a purse = $2.25
3. The sales tax of a bicycle = $8.4
4. The sales tax of a TV = $120
5. The sales tax of a radio = $2.1
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
1. A sweater for $19.99 and a 6% sales tax.
The sales tax of a sweater = 19.99 x 0.06 = $1.2
2. A purse for $45.00 and a 5% sales tax.
The sales tax of a purse = 45 x 0.05 = $2.25
3. A bicycle for $120.00 and a 7% sales tax.
The sales tax of a bicycle = 120 x 0.07 = $8.4
4. A TV for $3000.00 and a 4% sales tax.
The sales tax of a TV = 3000 x 0.04 = $120
5. A radio for $35.00 and a 6% sales tax.
The sales tax of a radio = 35 x 0.06 = $2.1
Therefore, all the required sales tax is given above.
To learn more about the percentage;
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Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34
Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
what is the answer?
Answer:
A S A
Step-by-step explanation:
In ΔACE & ΔBCD,
∠A ≅ ∠B {Given} Angle
AC = BC {Given} Side
∠ACE = ∠BCD { Reflexive property} Angle
ΔACE ≅ ΔBCD ------>A S A Property
which expression is equivalent to 1/4m + 3/4m-3/8(m+1)?
Answer:
5/8m - 3/8
Step-by-step explanation:
1/4 m + 3/4 m - 3/8m - 3/8
to combine m’s, change 1/4 to 2/8. And 3/4 to 6/8.
2/8 m + 6/8m - 3/8 m - 3/8
2/8+ 6/8- 3/8= 5/8
5/8m - 3/8
Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Isosceles Right
Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.
Answer:
Isosceles Right
Step-by-step explanation:
1
What are numbers when Rs 880 is divided in to the ratio of 1/5:1/6
Answer:
733.3
Step-by-step explanation:
The number is
880÷1/5:1/6
880÷(1/5×6)
880÷6/5
880×5/6
440×5/3
2200/3
733.3