Answer:
B
Step-by-step explanation:
y = 3x + 4
plug in (-2, -2)
-2 = -6 +4
-2 = -2
y = 6x + 10
plug in (-2, -2)
-2 = -12 + 10
-2 = -2
Answer:
B
Step-by-step explanation:
Given the 2 equations
y = 3x + 4 → (1)
y = 6x + 10 → (2)
Substitute y = 6x + 10 into (1)
6x + 10 = 3x + 4 ( subtract 3x from both sides )
3x + 10 = 4 ( subtract 10 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
substitute x = - 2 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 3(- 2) + 4 = - 6 + 4 = - 2
solution is (- 2, - 2 ) → B
Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
weighs 322 pounds, how much force is he exerting to hold the rock in place?
Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
No one wants to help me ! :(((( need help on algebra: modeling dot plots Box plots and histograms.!
I will give brainiest
Answer:
there should be 4 points below the trend line
Step-by-step explanation:
4
Can y’all help me please
Answer:
y= 5x + 100
Step-by-step explanation:
Hope this helps out! :)
Find the measure of angle 1
HELP
Answer:
75°
Step-by-step explanation:
The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then
∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°
simplify -5 1/4 - (-7 1/2) please
also ignore my tabs pls
Answer: 1/8
Step-by-step explanation:
1/2 x 1/4 = 1 x 1/2 x 4
What is an equation of the line that passes through the point (6,-2)) and is parallel to the line 5x+3y=6
Answer:
[tex]hope it help you\left \{ {{y=2} \atop {x=2}} \right.[/tex]
Step-by-step explanation:
Which triangle makes this statement true?
Answer:
A.
Step-by-step explanation:
i pretty sure
Type the missing number that makes these fractions equal: 4/?=8/14
Answer:
4/7 = 8/14
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]
cross multiply
8x = 14 x 4
8x = 56
x = 7
A spaceship traveled 81 billion miles. In scientific notation that is _____ miles.
8.1 × 10 10
8.1 × 10 -9
8.1 × 10 9
8.1 × 10 -10
plz help it's being timed
Answer:
A (8.1 x 10^10)
Step-by-step explanation:
1. 1 billion is 1,000,000,000 or 10^9
2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10
3. Thus, the answer is 8.1 x 10^10
Answer:
8.1 × 10^10
:)
Ms. Benton drew a right angle and split it into 2 angles. one of the labels inside was labeled 5x and the other angle was labeled 4x. what does x equal?
Answer choices:
5°
10°
15°
20°
please help
Answer:
B-10⁰
Step-by-step explanation:
5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰
Triangle PQR is similar to triangle DEF as shown.*
A.
B.
D.
C.
Samantha has chocolate bars and lollipops in the the ratio 4:5. If she has 12 chocolate bars,how many lollipops does she have?
Solve the system using elimination.
5x + 3y = − 8
7x + 2y = − 20
Write the recursive formula for the sequence
37, 67, 97, 127, 157
Answer:
The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].
Step-by-step explanation:
A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].
Someone help me please with this ? Like right now please
Answer: 6472
Step-by-step explanation:
You have to multiply and add
Which would it be please?Help if you can.
Answer:
B
Step-by-step explanation:
Area = length times width, in this case, both length and width is x.
While 5 and 2 are the lengths and widths for the unshaded part.
x^2 = whole square
x^2 - (5)(2) = area of shaded region
I will give brainiest
Answer:
2
Step-by-step explanation:
4/5 divided by 3/4
I need help please!! :)
Answer:
1 1/5 in fraction form :))
The owner of the local sporting goods store is offering a 40% discount on one regular priced item. If a customer receives a discount of $8, what is the regular price of the item?
Answer:
I think the answer would be D. 20 hope it helps
Step-by-step explanation:
PLEASE HELP WILL AWARD BRAINLIEST:)
Answer:
x = 4 units
Step-by-step explanation:
By geometric mean theorem:
Length of perpendicular
[tex] =\sqrt{2\times 6}[/tex]
[tex] =\sqrt{12}[/tex]
Next, by Pythagoras theorem:
[tex] x^2 = 2^2 + (\sqrt {12})^2 [/tex]
[tex] \therefore x^2 = 4 + 12 [/tex]
[tex] \therefore x^2 = 16 [/tex]
[tex] \therefore x =\sqrt{ 16 }[/tex]
[tex] \therefore x =4\: units[/tex]
I need with the volume!!!
Answer:
Tim read 81 pages.
Step-by-step explanation:
If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.
Monday: 3
Tuesday: 3 x 3 = 9
Wednesday: 9 x 3 = 27
Thursday: 27 x 3 = 81
I hope this helps you! :D
The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.
Answer:
Point N(4, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x - 3}[/tex]
[tex]\displaystyle y' = \frac{1}{2}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]Step 3: Solve
Find coordinates
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides: [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides: [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides: [tex]\displaystyle x = 4[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract: [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 1[/tex]∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
HELP ME IM STUCK PLEASE QUICK
Answer:
C) 24>x
Step-by-step explanation:
The inequality is just turned around. 24>x is thw same thing as x<24.
Hope this helped :)
Answer:
D
Step-by-step explanation:
x+3≥12
<=> x≥8
so 8 is less than x
x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
x = -11 5/17
Step-by-step explanation:
3x + 2y = 12
2x - 3y = -57
5x + y = -45
y = -5x - 45
2x - 3 (-5x - 45) = -57
2x + 15x + 135 = -57
17x + 135 = -57
17x = -192
x = -11 5/17
A rectangular red sticker has a perimeter of 26 millimeters and an area of 30 square millimeters. What are the dimensions of the sticker? (blank) millimeters by (blank) millimeters
Answer:
3 millimeters by 10 millimeters
Step-by-step explanation:
help pleaseee! dont guess
Answer:
1: True, 2: False
Step-by-step explanation:
With the first one, probability by defintion is the odds of if an event will happen or not, so it is true.
With the second one, it is false as if something is for sure going to happen, it will have a 100% or "1" chance of occurring. If it has a 1% chance of occuring, it would be 0.01.
Mike has 2 bank accounts. In his checking he has $136.89 and in his savings account he has $653.23.
Answer:
Whats the question and if its adding the answer is 790.12
Step-by-step explanation:
Also, if you could answer my question that'dd be great!
Find the value of x????
Answer:
The sum of complementary angles is 90 degrees.
Step-by-step explanation:
Answer:
4x+50=90
4x=40
x=10
Step-by-step explanation:
good luck
is -7 less the -8
is -8 less then or equal to -8