#6 find the slope in the graph MULTIPLE CHOICE
I'm assuming problem 6 is the graph on the right.
If so, then the slope is 1/2
Start at a point like (0,-1) which is the y intercept. Move up 1 and to the right 2 to arrive at (2,0) which is the x intercept.
The movement pattern "up 1, right 2" determines the slope directly
slope = rise/run = 1/2
rise = 1 = go up 1
run = 2 = go to the right 2
------------------------------
You could also pick two points from the blue line, then use the slope formula. If we picked (0,-1) and (2,0), then
m = (y2-y1)/(x2-x1)
m = (0-(-1))/(2-0)
m = (0+1)/(2-0)
m = 1/2
Seema bought a refrigerator for {14300 including a GST of 10%. The price of the refrigerator before GST was added is
Answer:
$13,000
Step-by-step explanation:
Given:
Seema bought a refrigerator for {14300 including a GST of 10%.
To FInd:
The price of the refrigerator before GST was added is
Solve:
[tex]\\[/tex]100/100+10×14300
=100/110×14300
=$13,000
Hence, The price of the refrigerator before GST was added is $13,000.
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A rectangle is 12 cm longer than it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 108 cm². Find its original dimensions.
Let the width be "x" cm.
Then the length is "x+12" cm
And the area = x(x+12) = x^2+12x cm^2
----------------------------
Change the dimensions:
width = "x-2" cm
length = "x+10" cm
New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2
------------------
Equations :
Old area - New area = 108 cm^2
x^2+12x -(x^2 + 8x - 20) = 108
4x + 20 = 108
4x = 88
x = 22 cm (original width)
x+12 = 24 cm (original length)
please solve quickly
Answer:
x=12
Step-by-step explanation:
AB/FE=BC/EC
x/6= 5+5/5
x/6=10/5
x=6(2)
x=12
~
If two equations are 3x + 2y = 14; 5x + 3y = 12, then the value of
5x – y is
Answer:
-124
Step-by-step explanation:
3x + 2y = 14 (×3) → 9x + 6y = 42
- → x = -18
5x + 3y = 12 (×2) → 10x + 6y = 24
3(-18) + 2y = 14
-54 + 2y = 14 → 2y = 14 + 54 = 68 → y = 68/2 = 34
5x - y = 5(-18) - 34 = -90 - 34 = -124
A 9m ladder is placed against a wall.
The foot of the ladder is 1.5m from the foot of the wall.
How far up the wall does the ladder reach?
any help would be appreciated
Answer:
b=8.9m
Step-by-step explanation:
you would need to use Pythagoras theorem
a²+b²=c²
as we know c=9m and a=1.5m we need to find b so you would have to rearrange the equation
b²=c²-a²
b²=9²-1.5²
b²=81-2.25
b²=78.75
b=√78.75
b= 8.9m (1DP)
Jared and maila will usually both run 3 miles each time they go running .This month,jared ran an additional 21 miles. Which answer choice shows an expression that represent the total distance jared and malia ran this month if j=the number of time that jared ran and m=the number of times that malia ran?
Answer:
Total = m + j
= 3 + m + 21
Step-by-step explanation:
Mails = 3 miles
Jared = 3 miles + 21 miles
j = m + 21
m = 3
Total = m + j
= 3 + m + 21
Where,
m = 3
Total = 3 + m + 21
= 3 + 3 + 21
= 27
Elena has $225 in her bank account. She takes out $20 each week for w weeks. After w weeks she has d dollars left in her bank account.
Answer:
After 11 weeks she has 5 dollars left in her bank account
Step-by-step explanation
I divided 225 ÷ 5 without going to the end of the operation so the rest was 5 dollars.
please help me out herreeeeeee
Answer:
10/21
It cant be broken down anymore so it is simplified!
Have a great day!!
Please rate and mark brainliest!!
The Cohen family uses up a 1/2 -gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1 gallon every 6 days
Step-by-step explanation:
To obtain a whole-number ratio, we multiply the 1/2 gallon by two. Since we are doing that, we should multiply the 3 days by two also.
Determine whether the graph table or equation represents a linear nonlinear function.
Y=x(x+3)
Answer:
nonlinear
Step-by-step explanation:
[tex]x(x + 3) = {x}^{2} + 3 \\ \: it \: will \: be \: a \: parabola \: because \: of \: the \: {x}^{2} [/tex]
The relationship shown in the scatterplot can be
linearized and modeled by the equation:In(Balance) = 3.2189 +0.1(Time)
Based on this information, approximately how much
does the model predict the account balance to be after
25 years of savings?
O $6,000
O $305,000
O $400,000
O $523,000
Answer: it’s $305,000
Step-by-step explanation:
correct on ED2022
Answer:
B
Step-by-step explanation:
I just got it right
What vocabulary word defines the part in red?
Y + 5x - 10
variables
constant
coefficient
terms
Answer: variables
Letters can represent any number, therefore it varies, thus the name “variable”
Which whole number property is represented?
10 × 4 = 4 × 10
Identity Property of Multiplication
Zero Property of Multiplication
Commutative Property of Multiplication
Associative Property of Multiplication
Answer:
Associative Property of Multiplication
Step-by-step explanation:
Even though the Associative Property usually means adding or subtracting, under these circumstances, it can be used with multiplication.
the price of a scooter decreased from ₹40000 to ₹35000. the percentage decrease is
Answer:
12.5%
Step-by-step explanation:
40000-35000=5000
5000/40000*100=12.5%
the answer to this question is is 12.5%.
Use the leading coefficient and degree of the polynomial function f(x) = x3 – 7x2 + 10x to determine the end behavior of its graph. Select all the correct statements. A. As x → ∞, y → ∞. B. As x → ∞, y → −∞. C. As x → −∞, y → ∞. D. As x → −∞, y → −∞. E. As x → ∞, y → 0.
Given:
The function is
[tex]f(x)=x^3-7x^2+10x[/tex]
To find:
The end behavior of its graph.
Solution:
We have,
[tex]f(x)=x^3-7x^2+10x[/tex]
Here, leading coefficient is 1 which is positive and degree of function is 3 which is odd.
For odd degree and positive leading coefficient, the end behavior is
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
Using this, we get
[tex]\text{As }x\to \infty, y\to \infty[/tex]
[tex]\text{As }x\to -\infty, y\to -\infty[/tex]
Therefore, the correct statements are A and D.
We want to study the end behavior of the given polynomial.
The two correct statements are A and D.
As x → ∞, y → ∞As x → −∞, y → −∞The polynomial is:
f(x) = x^3 - 7*x^2 + 10*x.
We can see that the degree of this polynomial is odd, this means that the behavior on the negative side is opposite to the one in the positive side.
In this case, the leading coefficient is one, so it is positive. This will mean that, for large positive values of x, f(x) will be positive.
For large (in absolute value) negative values of x, f(x) will be negative.
Then the end behavior is given by:
As x → ∞, y → ∞As x → −∞, y → −∞So the two correct statements are A and D.
If you want to learn more, you can read:
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Turn the algebraic expression into a verbal expression:
8p+5r
How would you say that writing it out mathematically speaking?
4x + 3y = 6 3x – 5y = 19
Answer:
my anawer na po eh 19 marong gento=eh
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!
This is page 1
Answer:
Step-by-step explanation:
tan^2(x) × cos^2(x) = 1 - cos^2(x)
Answer:
true
Step-by-step explanation:
Answer: True
Step-by-step explanation:
[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]
[tex]\mathrm{Manipulating\:left\:side}[/tex]
[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)[/tex]
[tex]\mathrm{Use \ the \ basic \ trigonometric \ identity \ \:tan\left(x\right)=\frac{sin\left(x\right)}{cos\left(x\right)}}[/tex]
[tex]=\cos ^2\left(x\right)\left(\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)^2[/tex]
[tex]=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}\cos ^2\left(x\right)[/tex]
[tex]=\frac{\sin ^2\left(x\right)\cos ^2\left(x\right)}{\cos ^2\left(x\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:\cos ^2\left(x\right)[/tex]
[tex]=\sin ^2\left(x\right)[/tex]
[tex]\mathrm{Use \ the \ Pythagorean \ identity \ \cos ^2\left(x\right)-\sin ^2\left(x\right)=1 \rightarrow \sin ^2\left(x\right)=1-\cos ^2\left(x\right)}}[/tex]
[tex]=1-\cos ^2\left(x\right)[/tex]
[tex]1-\cos ^2\left(x\right) =1-\cos ^2\left(x\right)[/tex]
Left side = right side
Therefore, the identity is true
Plsss i need this today asap im giving 30 points
evaluate each expression.
1. 80 - 4 to the power of 2 divide 8
2. 92.3 - (3.2 divide 0.4) x 2 to the power of 3
3. [(2 to the power of 3 x 2.5 divide 1/2)] + 120
4. [(2 x 10 to the power of 0) divide 1/3 + 8
Step-by-step explanation:
1.
(80-4)²÷8
(76)²÷8
5776÷8
722
2.
92.3-(3.2÷0.4)*2³
92.3-8*2³
92.3-8*8
92.3-64
28.3
3.
[(2³*2.5÷1/2)]+120
(8*5)+120
40+120
160
4.
(2*10⁰)÷1/3+8
(2*1)÷1/3+8
2÷1/3+8
6+8
14
Wishing Success
Which expression is equivalent to log3(x 4)? log3 – log(x 4) log12 logx log3 log(x 4) startfraction log 3 over log (x 4) endfraction
Option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]
It is given that logarithm expression is [tex]\rm log3(x+4)[/tex]
It is required to simplify the above equation.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have logarithm expression:
[tex]\rm log3(x+4)[/tex]
We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.
[tex]\rm logxy=logx+logy[/tex]
By using this property we get:
[tex]\rm =log3(x+4)\\\rm = log3+log(x+4)[/tex]
Because 3 and (x+4) are two different numbers, not (x+4).
Thus, option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]
Learn more about the Logarithm here:
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Answer:
Step-by-step explanation:
optin three is the answer i have took the test (Which expression is equivalent to log3(x + 4)?
log3 – log(x + 4)
log12 + logx
log3 + log(x + 4)
StartFraction log 3 Over log (x + 4) EndFraction)
Question 3
1 p
The perimeter of the triangle below is 27 cm. Find the measure of the shortest and the
longest sides.
X
2x
3x – 3
Answer:
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Step-by-step explanation:
Given:
Perimeter of ∆ = 27 cm
Side lengths of ∆: x, 2x, and 3x - 3
Required:
Measure of the shortest side and measure of the longest side.
SOLUTION:
Sum of all sides of the ∆ = Perimeter
[tex] x + 2x + (3x - 3) = 27 [/tex]
Solve for x
[tex] x + 2x + 3x - 3 = 27 [/tex]
Collect like terms
[tex] 6x - 3 = 27 [/tex]
Add 3 to both sides
[tex] 6x = 27 + 3 [/tex]
[tex] 6x = 30 [/tex]
Divide both sides by 6
[tex] x = \frac{30}{6} [/tex]
[tex] x = 5 [/tex]
Length of each side of the ∆:
x = 5 cm
2x = 2(5) = 10 cm
3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
a circular pool has a circumference of 28 feet what is the radius of the pool in feet
Answer:
The formula for circumference of s circle is pi x diameter.
If the circumference is 28 we can divide it by pi to get the Diameter.
28/ pi = 8.9126768131461388030574907488608042739297 rounded to 8.91 (2dp)
The radius is half of the diameter, so this means 8.91 / 2 = 4.46 ft (rounded to 2dp)
in the given image 01 equals 02 and the angles are measured in radians which of these are true
A radian is denoted by rad and it's the standard unit that is used for the measurement of angles.
What is a radian?Your information is incomplete. Therefore, an overview of radians will be given. Radian is the standard unit for angular measurement.
A radian is a unit of measure for angles which is based on the radius of circles. The formula used for radians is simply put as:
= (Degrees × π) / 180°
For example 60° will be:
= (60° × π) / 180°
= π/3
Therefore, 60° converted to radians is π/3.
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I am confused plz help
Answer:
free points or nah if not its A
Mai is filling her fish tank. Water flows into the tank at a constant rate.
Do not include units (gallons) in your answer.
I got 25 and 40 but I looked it up how do you get that answer
PLS ACTUALLY HELP IT'S DUE TN
Answer:
Average rate of change = -4
Step-by-step explanation:
Given:
f(x) = x² + 7x + 10
-8 ≤ x ≤ -3 or [-8, -3] in interval notation
Average rate of change of the function can be solved using the formula:
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( b \right) -f \left( a \right) }{ b-a }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 - (-8) }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 + 8 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex]
Substitute x = -3 to the given function for f(-3) and x = -8 for f(-8)
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex][tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ { \left[( -3 \right) }^{ 2 } +7 \left( -3 \right) +10]- { \left[( -8 \right) }^{ 2 } +7 \left( -8 \right) +10] }{ 5 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [9-21+10]-[64-56+10] }{ 5 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [-2]-[18] }{ 5 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ - 20 }{ 5 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = {-4 }[/tex]
the sum of two numbers is 24 and their quotient is 5
Answer:
X=20
24-x=24-20=4
Step-by-step explanation:
First number (greater number)= X=20
Second number = 24-x =24-20=4
dilation of 1.5 about the origin
G(-2, 0), H(-1, 3), I(3, -1), J(-1, -2)
Answer:
Dilation is a transformation, that stretches or shrinks the original figure presented on the grid based on the scale factor. Included here are umpteen printable worksheets to help 8th grade and high school students hone in on finding the scale factor, identifying the dilation type, determining the new coordinates and drawing the dilated shapes with the center as origin.
Step-by-step explanation: