Answer:
f(-1) = 2
f(0) = 3
Step-by-step explanation:
f(a) = 3a - a²
f(4)= 3*4-4²= -4 ⇒ correct
f(3)= 3*3-3²= 0 ⇒ correct
f(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect
f(0) = 3*0-0²= 0 ⇒ incorrect
f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correct
- 4x + 11y = 15
X = 2y
Y =
X =
Answer:
x = - (15 - 11y)/4
y = x/2
Step by step explanation:Let's first solve for x
=>- 4x + 11y = 15
=>- 4x + 11y - 11y = 15 - 11y
=>- 4x = 15 - 11y
=>(- 4x)/- 4 = 15/- 4 - (11y)/- 4
x = - (15 - 11y)/4
let's solve for y
=>x = 2y
=>2y = x
=>(2y)/2 = x/2
y = x/2
Answer:
x = 10y = 5Step-by-step explanation:
Given system:
- 4x + 11y = 15 x = 2ySolve by substitution:
- 4(2y) + 11y = 15- 8y + 11y = 153y = 15y = 5Find x:
x = 2*5 = 10The vehicle's fuel efficiency is at least 40 miles per gallon
5.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 7= 1/2(x - 5).
B. The relationship is linear; y - 5= -1/2(x + 7).
C. The relationship is not linear.
D. The relationship is linear; y – 5 = 2(x + 7).
Answer:
D. The relationship is linear; y – 5 = 2(x + 7).
Step-by-step explanation:
The correct answer is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the first two points is given by:
The slope between the second pair of points is given by:
The slope between the third pair of points is given by:
Since the slope is the same throughout the data, the relationship is linear and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
The answer is The relationship is linear; y - 5 = 2(x + 7).
What Did The Acorn Say When It Grew Up?
Answer: Gee Im a tree
Step-by-step explanation:
Ive heard this joke before lol so corny
1. If two parallel lines are cut by a transversal then the pair of consecutive interior angles are supplementary.
2. If two parallel lines are cut by a transversal then pair of alternate interior angles are equal.
3. m∠1 is 106°.
4. m∠3 is 74°
5. m∠8 is 114°
6. m∠6 is 124°
7. m∠7 is 66°
8. m∠2 is 66°
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
1. If two parallel lines are cut by a transversal then the pair of consecutive interior angles are supplementary.
2. If two parallel lines are cut by a transversal then pair of alternate interior angles are equal.
3. m∠2 is 74° then m∠1 is (180 - 74)° = 106°. (linear pair of angles)
4. m∠2 is 74° then m∠3 is 74°. (vertically opposite angles)
5. m∠1 is 114° then m∠8 is 114° (alternate angles)
6. m∠4 is 56° then m∠6 is (180 - 56)° = 124° (180° - m∠5)
7. m∠1 is 84° then m∠7 is (180° - m∠8) = 180° - 114° = 66°.
8. m∠8 is 114° then m∠2 is m∠7 = 66°
learn more about transversal here :
https://brainly.com/question/17432060
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I NEED SOME HELP?
Given the arithmetic sequence {-12, -7, -2, 3, ...} what is the 15th term of the sequence?
Group of answer choices
58
33
43
48
63
Answer:
58
Step-by-step explanation:
We are given the arithmetic sequence:-
-12,-7,-2,3,...
First, find the common difference which we can obtain by:-
[tex] \displaystyle \large{d = a_{n + 1} - a_n}[/tex]
Check:-
-7-(-12) = -7+12 = 5
-2+7 = 5
3+2 = 5
Therefore, our common difference is 5.
General Arithmetic Term
[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]
Since we want to find the 15th term, substitute a1 = -12, n = 15 and d = 5.
[tex] \displaystyle \large{a_{15}= - 12 + (15 - 1)5} \\ \displaystyle \large{a_{15}= - 12 + (14)5} \\ \displaystyle \large{a_{15}= - 12 + 70} \\ \displaystyle \large{a_{15}= 58} \\ [/tex]
The solution to a system of two equations is "no solutions". Describe the graph of the two equations.
two parallel lines
two perpendicular lines
two intersecting lines
two overlapping lines
Answer:
two parallel lines
Step-by-step explanation:
the answer is parallel lines because parallel lines never touch so you would never have an answer. all the other answer choices mention some sort of intersection
Calculate the slope between the points: (4,-9) and (5,1)
Answer:
10
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. All we have to do is plug in the values and simplify.
2. (Solving)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] [tex]\frac{1-(-9)}{5-4}[/tex] [tex]\frac{1+9}{1}[/tex] [tex]\frac{10}{1}[/tex] [tex]10[/tex]Therefore, the slope is 10.
If the perimeter of the polygon below is 52 ft, solve for x, and identify the length of each side in the corresponding spaces below (figure not drawn to scale). Don't forget to include units in your answer!
Answer:
bru its was in my head now its gone
Step-by-step explanation:
0.34156020 as a scientific notation
Answer:
3.4156020*10^-1 for scientific notation if you want to keep that ending zero (I'd normally write it 3.415602*10^-1)
Step-by-step explanation:
So the idea of scientific notation (or engineering notation) is to make things smaller and more manageable. The idea is to move the variables so that one is in front of the point.
So if you had something like this:
12342300000000000000
It'd be equal to 1.23423*10^19
Or something like this
0.0000095675
Would be 9.5675*10^-6
mathematics algebra sat
Hey there!
2(p + 1) + 8(p - 1) = 5p
2(p) + 2(1) + 8(p) + 8(-1) = 5p
2p + 2 + 8p - 8 = 5p
10p - 6 = 5p
SUBTRACT 5p to BOTH SIDES
10p - 6 - 5p = 5p - 5p
SIMPLIFY IT!
5p - 6 = 0
ADD 6 to BOTH SIDES
5p - 6 + 6 = 0 + 6
CANCEL out: -6 + 6 because it gives you 0
KEEP: 0 + 6 because it helps solve for the p-value
5p = 0 + 6
5p = 6
DIVIDE 5 to BOTH SIDES
5p/5 = 6/5
CANCEL out: 5/5 because it gives you 1
KEEP: 6/5 because gives you the result of the p-value
SIMPLIFY IT!
p = 6/5
Therefore, your answer is: p = 6/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
use the remainder theorem to find the remainder when the function f(x)=x^3+6x^2-3x is divided by x+5
Answer:
510
Step-by-step explanation:
please give me a brainlist
Answer:
The remainder is 40.
Step-by-step explanation:
We're applying synthetic division here.
The coefficients of this function are {1, 6, -3, 0}. The divisor (x + 5) is represented by the monomial divisor -5.
Setting up synthetic division, we get:
-5 1 6 -3 0
-5 -5 40
---------------------
1 1 -8 40
The remainder is 40.
PLEASE HELP ME!! no spame
Answer:
D. 1/8Step-by-step explanation:
Use the slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex][tex]m=(-4-(-5))/(0-(-8))=1/8[/tex]What is the domain and range of the following function
Answer:
domain: (–∞,∞) or all real numbers
range: (–∞,∞) or all real numbers
Step-by-step explanation:
domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.
range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.
Using the following information identify the pattern with the domain values and the
range write a function for the data.
{(1,9), (2,18),(3,27), (4,36)}
9514 1404 393
Answer:
y = 9x
Step-by-step explanation:
We notice that each y-value is a multiple of 9, and the multiple is x.
y = 9x
Three less than the product of a number and four
Answer:
i hope thisanswer will help you
Challenge A gold mine has two elevators, one for equipment and another for the miners. The
equipment elevator descends 6 feet per second. The elevator for the miners descends 15 feet per
second. One day, the equipment elevator begins to descend. After 21 seconds, the elevator for the
miners begins to descend. What is the position of each elevator relative to the surface after
another 17 seconds? At that time, which elevator is deeper?
The position of the equipment elevator relative to the surface is feet.
Step-by-step explanation:
The equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface
ii. The miners elevator is deeper than that of the equipment.
The speed of an object is the rate at which the object moves.
i.e speed = \frac{distance}{time}
time
distance
Thus,
Speed of the equipment elevator = 4 feet per second
Speed of the miners elevator = 15 feet per second.
Time of descent of the equipment elevator = 30 + 14
= 44 seconds
So that, the distance of the elevator at this time is;
speed = \frac{distance}{time}
time
distance
⇒ distance = speed x time
= 4 x 44
= 176
distance = - 176 feet
The distance of the miners elevator after 14 seconds is:
speed = \frac{distance}{time}
time
distance
⇒ distance = speed x time
= 15 x 14
= 210
distance = - 210 feet
Thus after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface.
Therefore, the miners elevator is deeper than that of the equipment.
❗CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST + 25 POINTS❗
simply fully:
[tex] \sqrt{12} [/tex]
thanks xx
[tex] \sqrt{12} \\ = \sqrt{4 \times 3} \\ = \sqrt{2 \times 2 \times 3} \\ = 2 \sqrt{3} [/tex]
The answer is 2√3.
[tex] \sqrt{12} \\ = \sqrt{2 \times 2 \times 3} \\ = \boxed{ 2 \sqrt{3} }[/tex]
7x - 4 + x = 12
x = ?
Answer:
7x - 4 + x = 12
7(2) - 4 + (2) = 12
True x = 2
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
Find two consecutive whole numbers that [tex]\sqrt{x} 94[/tex] lies between.
2+2-2+2-2+2-5+2
Please tell the correct answer or else I will not mark anyone brainliest
2 + 2 - 2 + 2 - 2 + 2 - 5 + 2 =
2 + 2 + 2 + 2 + 2 - 2 - 2 - 5 =
10 - 9 =
1
HELPPPPPPPPPPPPPPPPPPPP
Answer:
the answer is 2
Step-by-step explanation:
sorry if I am wrong
In a certain class, 18/25 of the students got problem 10 wrong on Friday's math test.
Answer:
72% i think but I may be wrong
HELLPPPP PLEASE Lol pleaseeee
Answer:
b and d
Step-by-step explanation:
b&d is your answer
Calculate the slope of the line, given the points (-3, -4) and (-2, 1)
Answer:
The slope of the line is m=5
Step-by-step explanation:
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
write each equation explicitly in terms of x: (with steps)
1) y^2 -x^2 + 1 = 50
2) y^2 +6y +9 = x + 8
Step-by-step explanation:
y2−x2+1=50
Step 1: Add -y^2 to both sides.
−x2+y2+1+−y2=50+−y2
−x2+1=−y2+50
Step 2: Add -1 to both sides.
−x2+1+−1=−y2+50+−1
−x2=−y2+49
Step 3: Divide both sides by -1.
−x2
−1
=
−y2+49
−1
x2=y2−49
Step 4: Take square root.
x=√y2−49 or x=−√y2−49
Answer:
x=√y2−49 or x=−√y2−49
y2+6y+9=x+8
Step 1: Flip the equation.
x+8=y2+6y+9
Step 2: Add -8 to both sides.
x+8+−8=y2+6y+9+−8
x=y2+6y+1
Answer:
x=y2+6y+1
WILL GIVE BRAINLIEST
Find the measure of Z8 given angle 2 is 70 degrees.
Angle 8 and Angle 2 are supplementary. So Angle 8 + 70 would equal to 180.
180-70 is 110 hence angle is 110 degrees.
For the figure shown on the right, find the value of the variable and the measures of the angles.
The degrees on a triangle add up to 180.
(x) + (x-7) + (3x+12) = 180 ; Just shwoing what i'm doing.
x + x-7 + 3x + 12 = 180
5x + 5 = 180 ; x + x + 3x = 5x , 12 - 7 = 5
5x = 175 ; Subtract 5 from 180
x = 35 ; 175/5 = 35
x=35
P: x - 7 = 35 - 7 = 28
Q: 3 (x) + 12 = 3 (35) + 12 = 105 + 12 = 117
R: x = 35
P= 28 degrees, Q= 117 degrees, R= 35 degrees.
Complete the steps to find the value of x.
Answer:
72+(7x+24)=180
7x+96=180
7x=84
x=12
Step-by-step explanation:
Answer: x = 12.
Step-by-step explanation:
72 + (7x + 24) = 180 Now we add like terms
96 + 7x = 180 Take away 96 from both sides
7x = 84 Divide both sides by 7
x = 12 X equals 12.
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
14 yd
15 yd
17 yd
Answer:
A = 42.5 yd²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 17 and h = 5 , then
A = [tex]\frac{1}{2}[/tex] × 17 × 5 = [tex]\frac{1}{2}[/tex] × 85 = 42.5 yd²
help me pls ASAP I need it in 5mins
Answer:
3 hours and 45 Minutes
Step-by-step explanation:
If you multiply 45 minutes for five days it's equal to 3 hours and 45 minutes.