Answer:
The answer is
[tex] \huge \boxed{y = - \frac{1}{3}x + 1 }[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (0,1) and slope - 1/3
The equation is
[tex]y - 1 = - \frac{1}{3}(x - 0) \\ y - 1 = - \frac{1}{3} x[/tex]
We have the final answer as
[tex]y = - \frac{1}{3} x + 1 \\ [/tex]
Hope this helps you
Answer:
2/3
Step-by-step explanation:
Remember that when you want to write an EQUATION of the line with slope -1/3 and y-intercept (0,1), you can use the "Slope-intercept form" for the equation of the line.
The slope intercept form is: "y =mx+ b"
m is the slope, and b is the y-coordinate of the y-intercept.
For example, m =(-1/3) and b = (1)
Therefore, the equation of the line is
y = (-1/3) + 1
Put (-1/3) + 1 --> into the calculator and you get.....
2/3!!
Hope that helps!
Sydney
(I need this done ASAP thanks) Jackson has three cartons of gumballs. There are 100 boxes in each carton. There are 100 gumballs in each box. The number of gumballs Jackson has can be expressed in the form a⋅10^b, where A is a prime number and B is whole number. What are the values of A and B?
Answer:
A = 3 and B = 2
Step-by-step explanation:
Here, we are interested in giving the values for A and B
We are told that there are three cartons, with 100 gun balls in each.
The total number of gum balls Jackson have will be 100 + 100 + 100= 300
Now, we want to express 300 in the form a•10^b
Thus;
300 = 3 * 100
3 * 100 = 3 * 10^2
where A = 3 and B = 2
which situation illustrates quadratic equation?
Complete Question:
Which situation illustrates quadratic equation?
a. The length of a rectangular board is 3m longer than its width and its perimeter is 25m.
b. Joey paid at least P2,000 for the shirt and pants.The cost of pants is P700 more than the shirt.
c. A garden's length is 7m longer than its width and the area is 18 square meter.
d. A lot costbP4,000 per square meter and the area is 120 square meters.
Answer:
C.
Step-by-step explanation:
Required
Determine which option answers the question, correctly.
From the list of given options, only option c answers the question correctly.
This is shown below.
Represent
Length with l and Width with w, such that:
[tex]l = 7 + w[/tex]
Area (A) is calculated as thus:
[tex]A = l * w[/tex]
Substitute 7 + w for l and 18 for A.
This gives:
[tex]18 = (7 + w) * w[/tex]
Open Bracket
[tex]18 = 7w + w^2[/tex]
Reorder
[tex]w^2 + 7w = 18[/tex]
Subtract 18 from both sides
[tex]w^2 + 7w - 18= 18 - 18[/tex]
[tex]w^2 + 7w - 18= 0[/tex]
See that the above expression is a quadratic equation.
Jane has $30 and is saving at the rate of 57 per week. Susan has $50 and is saving at the rate of $3 per week.
When will they have the same amount of money?
Compound I... X
Notification
.micro
mail.google....
mail.google...
mail.google...
02:58
Determine the amount of an investment if AED 300 is invested
at a rate of 3.5% interest compounded monthly for 22 years.
A. 319.85 AED
B. 647.20 AED
C. 639.45 AED
Answer:
C. 639.45 AED
Step-by-step explanation:
Principal = AED 300
Compound interest = 3.5%
Unknown:
Amount of the investment after 22yrs = ?
Solution:
Compound interest is simply interest on interest.
The formula is given as;
A = P(1 + [tex]\frac{r}{n})^{nt}[/tex]
where A is the final amount
P = initial principal
r = interest rate
n = number of years
Input the parameters and solve;
A = 300 (1 + [tex]\frac{0.035}{1} )^{22 x 1}[/tex]
A = 639.45
So the amount of investmet is AED 639.45
I NEED HELP NOW
ur really gonna need to solve this
10t-5=60
Answer:
[tex] \huge \: t = \frac{13}{2} [/tex]
Step-by-step explanation:
[tex]10t - 5 = 60[/tex]
Using the addition property add 5 to both sides of the equation
That's
[tex]10t - 5 + 5 = 60 + 5 \\ 10t = 65[/tex]
Divide both sides by 10
[tex] \frac{10t}{10} = \frac{65}{10} \\ t = \frac{65}{10} [/tex]
Reduce the fraction with 5
We have the final answer as
[tex]t = \frac{13}{2} \\ [/tex]
Hope this helps you
Answer:
t = 6.5
Step-by-step explanation:
10t - 5 = 60
Add 5 to each side
10t -5+5 = 60+5
10 t = 65
Divide each side by 10
10t/10 = 65/10
t = 6.5
Name each polygon by its number of sides and then classify it as convex or
concave and regular or irregular.
1.
2.
3.
Answer:
The polygon has 5 sides. A polygon with 5 sides is a
pentagon.
If you draw the line containing the side it will
contain some points in the interior of the polygon. So,
the polygon is concave. Since it is concave, it is
irregular.
Step-by-step explanation:
What is the image point of (-2,5)(−2,5) after a translation left 5 units and up 3 units?
Answer:
(-7;8)
..........................
The image point will be (-7, 8)
What is translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.
The direction or the path of this change in position of the object can vary i.e., initially the object can move left, then turn right, and so on. While translating, all the points on the shape will shift by the same number of units. For example, if one point shifts 2 units to the right, then all the points will also move 2 units to the right.
Given:
coordinate ( -2, 5)
To translate 5 units left the x- coordinate will be
= -2 -5
= -7
and, now to shift 3 units up y- coordinate will be
=3+5
=8
Hence, the image point will be ( -7 , 8)
Learn more about translation here:
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How many pounds of raisins did Priya buy if she bought the following amounts of almonds:
1.06 pounds of almonds
Round your answer to the nearest hundredth, and do not include uníts (pounds of raisins).
Answer:
2.25
Step-by-step explanation:
5.20 * 1.06 = 5.512
11.70 - 5.512 = 6.188
6.188 / 2.75 = 2.25018
Round to the nearest hundredth which equals....
2.25
2a-2c=4a solve for a
Answer:
a = - c
Step-by-step explanation:
2a - 2c = 4a
- 4a - 4a
- 2a - 2c = 0
+ 2c + 2c
- 2a = 2c
/-2 /-2
a = - c
Answer:
[tex]\boxed {a = -c}[/tex]
Step-by-step explanation:
Solve for the value of [tex]a[/tex]:
[tex]2a - 2c = 4a[/tex]
-Take [tex]4a[/tex] and subtract it from [tex]2a[/tex]:
[tex]2a - 2c - 4a = 4a - 4a[/tex]
[tex]-2a - 2c = 0[/tex]
-Add both sides by [tex]2c[/tex]:
[tex]-2a - 2c + 2c = + 2c[/tex]
[tex]-2a = 2c[/tex]
-Divide both sides by [tex]-2[/tex] and dividing [tex]-2[/tex] undoes the multiplication by [tex]-2[/tex]:
[tex]\frac{-2a}{-2} = \frac{-2c}{-2}[/tex]
[tex]\boxed {a = -c}[/tex]
Therefore, the value of [tex]a[/tex] is [tex]-c[/tex].
Angellina enjoys swimming and often swims at a steady pace to burn calories. At this pace, angelinla can swim 1,700 meters in 40 minutes. Explan the unit rate in context of the situation
Answer:
h
Step-by-step explanation:
Please subtract this for me and simplify
Answer:
You have to convert 4 and 1/4 to 17/4. Then, the LCM of 3 and 4 is 12, so multiply 17/4 by 3/3 and 2/3 by 4/4 to get 51/12 and 8/12. Now, subtract.
51/12 - 8/12 = 43/12. That is the final answer.
HELPPP PLEASEE ?????
Write the number in scientific notation. 45100
Answer:
scientific notation:
4.51 × 104
or
4.51x10^4
scientific notation with e:
4.51e4
Step-by-step explanation:
When you write scientific notation of 45100/45.1 thousand, you need to find How do you write 45100/45.1 thousand in scientific notation.
. The 45100 should be written.
Answer:
4.51 * 10^4
Step-by-step explanation:
4.51 * 10^4 = 45100
All you gotta do is move the decimal to the left until you have a number between 1-10. And how ever many spaces you jumped that's the exponent you put on the 10.
Example, 467500
I would jump 5 places to get 4.675
Since I jumped 5 places that's my exponent
4.675 * 10^5
HOpe this helps!!!
which of the following does NOT represent the legs of the sides of a right tringle
Answer:
d
Step-by-step explanation:
Need help with geometry assignments so hard parallel is so hard smart people 100% answer it pls
Which equation describes the line containing the points (-2,2) and (4, -2)?
A. y = 2x + 6
B. y = -2/3x + 2/3
y = y = -3/2x + 5
y = y = -2/3x + 8/3
Answer:B
Step-by-step explanation:
Bernie got 15 out of 35 math problems correct on his test. What percent did he
get correct?
he has 42.87 correct, you have to find the percentage of one number in relation to another with the formula percentage = ( number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage
What are the y-intercept and the slope of the line represented in the graph?
A.
y-intercept = -4 and slope = -2
B.
y-intercept = 4 and slope = -2
C.
y-intercept = 2 and slope = 4
D.
y-intercept = 4 and slope = -4
8 (2x +3x +2 ) = -4x +124
Answer:
8 (2x +3x +2 ) = -4x +124 = x = 122/9
Answer:
[tex] \frac{27}{11} [/tex]
Step-by-step explanation:
8 (2x + 3x + 2) = -4x + 124
16x + 24x + 16 = -4x + 124
16x + 24x + 4x = 124 - 16
44x = 108
x =
[tex] \frac{108}{44} [/tex]
= simplifying
[tex] \frac{27}{11} [/tex]
what is the cube root of 64 (
[tex] \sqrt[3]{64} = x[/tex]
I NEED HELP ASAP. WILL GIVE BRAINLIEST!!!
Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?
–2
Negative one-half
One-half
2
Answer:
maybe -2.
Step-by-step explanation:
maybe I guess
- (x-9)
Simplify this expression
Answer:
-x + 9
Step-by-step explanation:
When there is a - in front of an expression in parentheses, change the sign of each term in the expression.
27=3w+6
Simplify your answer as much as possible
Simplify.
-2(w+5) +6w
Answer:
4w - 10
Step-by-step explanation:
Step 1: Write expression
-2(w + 5) + 6w
Step 2: Distribute -2
-2w - 10 + 6w
Step 3: Combine like terms
4w - 10
I need answers as soon as possible please by
Answer:
Sorry need to do some thing else brb
Step-by-step explanation:
Rewrite 3/4 with a denominator of 12 by multiplying the top and bottom by 3
Answer:
9/12
Step-by-step explanation:
Answer:
9/12
Step-by-step explanation:
Just as the question says, you have to rewrite 3/4 with a denominator of 12, and you can do that by multiplying both the numerator (top) and denominator (bottom) by 3:
3/4 * 3 = 3(3)/4(3) = 9/12
Hope this helps :)
Anyones help is needed real quick
Answer:
6
Step-by-step explanation:
3x + 0.8 = 18.8
solve for x
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
3x + .8 = 18.8
subtract .8
3x = 18
divide by 3
x = 6
(HELP ASAP,WILL MARK BRAINLIEST!!)
Choose the correct equation for this line.
a
y=1/3 x-2
b
y=1/3 x+2
c
y=3x -2
d
y=3x +6
Sam knows that his annual homeowners insurance premium is $0.27 per $100 of value, which usually works out to be $683.10 annually. But Sam is confused by a letter from his insurance company telling him that an increase in the value of his home has led to an increase in his annual homeowners insurance premium. He is now being charged an annual premium of $720.90. Based on the increase in his annual homeowners insurance premium, what was the increase in his home's value? (Note: The cost is still $0.27 per $100, even though the annual premium went up.)
Answer:
C. $14,000
Step-by-step explanation:
If he is now being charged an annual premium of $720.90. The increase in his home's value is $14,000.
Increase in home valueIncrease in home value=[(720.90/0.27)-(683.10/0.27)]×$100
Increase in home value=(2670-2530)×$100
Increase in home value=140×$100
Increase in home value=$14,000
Therefore the increase in his home's value is $14,000.
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