Answer:
Slope=3
y-intercept=4
Step-by-step explanation:
the line intercepts the y axis at 4.
Answer:
slope = 3
y-intercept = 4
Step-by-step explanation:
From the graph, we can automatically tell that the y-intercept is at (0,4) so the y-intercept is 4. Now, we just need to find the slope and to do that we can choose 2 points. I am choosing (-2,-2) and (0,4).
The slope formula is m = y2-y1/x2-x1. I am going to plug in the points in the formula.
m = (4 - (-2))/(0 - (-2))
m = 6/2
m = 3
slope = 3
y-intercept = 4
Solve the inequality and graph the solution.
6d - 10 > 8
Answer:
d>3
Step-by-step explanation:
6d-10>8
add the 10 to both sides
6d>18
divide the 6 from both sides
d>3
Which of the following is a root of the polynomial function below?
F(x) = x^3+3x^2 + 4x+12
A. 3
B. 2
C. i
D. -2i
Answer:
[tex] - 2i[/tex]
Step-by-step explanation:
[tex]f(x) = { \times }^{3} + 3 {x}^{2} + 4x + 12 \\ = ( {x}^{3} + 3x^{2}) +(4x + 12) = \\ {x}^{2} (x + 3) + 4(x + 3) = \\ ( {x}^{2} + 4)(x + 3) [/tex]
what is the domain of the following function?
Point Q lies on segment ST, where point S is located at (- 3, - 3) and location of point T is unknown. If SQ : QT = 4 : 3, and point Q is located at (3, 0) on the segment ST, select a place on the coordinate grid to plot point T and name its coordinate.
Answer:
The location of point T is [tex]\vec T = (7.5, 2.25)[/tex]. Graph is included at the end of the explanation as attachment.
Step-by-step explanation:
The SQ : QT ratio means that there are 4 units of SQ for each 3 units of QT. Vectorially speaking, we notice that:
[tex]\overrightarrow {SQ} = \frac{4}{7}\cdot \overrightarrow {ST}[/tex] (Eq. 1)
[tex]\overrightarrow{QT} = \frac{3}{7}\cdot \overrightarrow {ST}[/tex] (Eq. 2)
Now, we eliminate [tex]\overrightarrow{ST}[/tex] by equalizing (Eq. 1) and (Eq. 2):
[tex]\frac{7}{3} \cdot \overrightarrow{QT} = \frac{7}{4}\cdot \overrightarrow{SQ}[/tex] (Eq. 3)
From Linear Algebra, we know that:
[tex]\frac{7}{3}\cdot (\vec T - \vec Q) = \frac{7}{4}\cdot (\vec Q-\vec S)[/tex] (Eq. 3b)
And we clear [tex]\vec T[/tex]
[tex]\frac{7}{3}\cdot \vec T -\frac{7}{3}\cdot \vec Q = \frac{7}{4}\cdot \vec Q -\frac{7}{4}\cdot \vec S[/tex]
[tex]\frac{7}{3}\cdot \vec T = \frac{49}{12}\cdot \vec Q - \frac{7}{4}\cdot \vec S[/tex]
[tex]\vec T = \frac{3}{7}\cdot \left(\frac{49}{12}\cdot \vec Q-\frac{7}{4}\cdot \vec S\right)[/tex]
[tex]\vec T = \frac{7}{4}\cdot \vec Q-\frac{3}{4}\cdot \vec S[/tex]
If we know that [tex]Q(x,y) = (3, 0)[/tex] and [tex]S(x, y) = (-3,-3)[/tex], then we have that [tex]T(x,y)[/tex] is:
[tex]\vec T = \frac{7}{4}\cdot (3, 0) - \frac{3}{4}\cdot (-3, -3)[/tex]
[tex]\vec T = \left(\frac{21}{4}, 0 \right) + \left(\frac{9}{4},\frac{9}{4}\right)[/tex]
[tex]\vec T = \left(\frac{21+9}{4},\frac{0+9}{4} \right)[/tex]
[tex]\vec T = \left(\frac{15}{2}, \frac{9}{4}\right)[/tex]
[tex]\vec T = (7.5, 2.25)[/tex]
At last we plot the segment with all points described on statement. We can check the result in the attachment set below.
what’s 0.17 repeating as a fraction
If it's just the 7 that's repeating, let
x = 0.1777...
Then
10x = 1.777...
100x = 17.777...
100x - 10x = 17.777... - 1.777...
90x = 16
x = 16/90 = 8/45
If both 1 and 7 are repeating, let
x = 0.171717...
Then
100x = 17.171717...
100x - x = 17.171717... - 0.171717...
99x = 17
x = 17/99
James is 5 years older than Marin. If you add their ages together, they total 31.
Determine the ages of both James and Marin.
Answer:
James is 18
Marin is 13
Step-by-step explanation:
31 - 5 = 26
26/2 = 13
13 + 5 = 18
Please help and please label and number so I don’t get confused thanks
Answer:
2) V = 2000·1.07^t; $6317.63 after 17 years
3) D = 950·0.82^t; 2 months to a balance of $650
Step-by-step explanation:
Exponential equations are not so difficult. They are generally of the form ...
f(t) = (initial value) × (growth factor)^t
where t is the number of time periods to which growth factor applies. (I problem 2, that is years; in problem 3, that is months.)
The growth factor can be written different ways. In terms of growth rate, it is ...
growth factor = 1 + growth rate
Often, the growth rate is expressed as a percentage. It may be positive or negative.
__
2) The initial value is $2000, and the growth rate is 7% = 0.07. So, the exponential equation for value is ...
V = 2000·1.07^t
The value after 17 years is ...
V = 2000·1.07^17 = 6317.63
__
3) The initial value is $950, and the growth rate is -18% = -0.18. That means the growth factor is 1-0.18 = 0.82. So, the exponential equation for the remaining debt is ...
D = 950·0.82^t . . . . . where t is in months
We want to find the value of t when D=650, so we put that in the equation and solve for t. Logarithms are required.
650 = 950·0.82^t
650/950 = 0.82^t . . . . . . . . . . divide by 950
log(650/950) = t·log(0.82) . . . take logarithms
log(650/950)/log(0.82) = t ≈ 1.91
It will take about 2 months for the balance to be about $650.
How many thousands are in 458,329?
Answer:
Their are 8 thousands in the thousands place
Step-by-step explanation:
i dont know anything help me i have a target grade 8 and i get 3s
Answer:
whats the question
Step-by-step explanation:
what's the question??
Which statement is true
Answer:
3/6 = 4/8
Step-by-step explanation:
they're both halves
Question 1. Find h (-2)
Answer:
You forgot the rest of the function, but if x is -2, then the function is represented by f(x)=-2x
If you supply more information the equation would be different.
Step-by-step explanation:
Simplify the expression 3x -7x -4
Answer:
-4 + -4x
Step-by-step explanation:
Simplifying
3x + -7x + -4
Reorder the terms:
-4 + 3x + -7x
Combine like terms: 3x + -7x = -4x
-4 + -4x
Answer:
The simplified equation would be -4x - 4
Step-by-step explanation:
1. Combine the like terms. So it would be -4x-4 because 3-7=-4.
Find the area of the path, 5 m wide, is surrounded outside the square pond of length 40 m
Answer:
200 m.
Step-by-step explanation:
Step 1:
Length × Width = Area Equation
Step 2:
5 × 40 Multiply
Answer:
Area = 200
Hope This Helps :)
HELP PLS!!! ASAP
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C?
Answer:
The answer will be 95°
...
Answer:
Sum of angles in a triangle is 180°
So if angle A is 55°
And B is 30°
C is 180 - 55 + 30
= 180 - 85
Angle C = 95°
Step-by-step explanation:
3.67 x 10 the the 9 power
Answer:
3670000000
Step-by-step explanation:
Circle the correct answer choice.
1. Which is equivalent to
0.3 + 0.09 + 0.002?
A 0.14
B 0.014
C 39.2
D 0.392
Answer: D) 0.392
Step-by-step explanation:
0.300
0.090
0.002
__________
0.392
A baseball team hosts an exhibition game in order to raise at least $5,000 for new equipment. Regular stadium seats sell for $5 each, but each
seats sells for $10
The coach draws up a feasible region in the coordinate plane, where x represents the number of premium seats the game sells, and y represents the number of regular
seats the game sells. Which of the following inequalities is NOT a boundary condition for the feasible region?
Answer:B 100%
Step-by-step explanation:
Evaluate the expression.
10–
–
4+
–
6÷3
Answer:
i do not know
Step-by-step explanation:
Answer:
Simplify 6\div 36÷3 to 22.
10+4-210+4−2
2 Simplify 10+410+4 to 1414.
14-214−2
3 Simplify.
the answer is 12
Step-by-step explanation:
Write an equation of the line passing through the point (-3, -3) that is perpendicular to the line y=-7/23x+9
Answer:
y = 23x/7 +48/7
Step-by-step explanation:
perpendicular slopes are always equal to -1
so the new slope is 23/7
slope intercept form is y = mx + b where m is the slope and b is the y-intercept
so plug in (-3, -3 ) to get -3 = 23(-3)/7 + b
isolate b
solve
-3 = 23*-3/7 + b
-3 = -69/7 + b
add 69/7 to both sides
69/7 - 3 = b
-3 = -21/7
69/7 - 21/7 = 48/7
b = 48/7
new equation is y = 23/7 + 48/7
Pls help me answer this question if correct I'll make brainylist!!!!
Answer:
32
Step-by-step explanation:
Why would your savings account “lose value” if the rate of return you receive is lower than the rate of inflation?
Answer:
Inflation is the continuing reduction of the purchasing power or price level rise in a given time period.
Therefore, keeping money in a savings account that gives an interest rate that is lower than the inflation rate, in a period of high inflation will result in a reduction of the purchasing power of the amount of money plus interest in the savings account.
If the interest rate is 10%, the amount, A, in the account after a given time will be 1.1A
If the inflation rate is 15%, the value of the goods sold initially at A, will become 1.15A after the given period and the amount in the account will no longer be able to purchase the goods it was initially able to purchase, or the amount in the savings account will lose value
Step-by-step explanation:
In this exercise, we have to know some finances concepts in order to explain the problematized situation in this way we can say that:
Inflation exist the ongoing decline of the ability to purchase or price level rise fashionable a likely time period.
Explaining this concept of finance in a deeper way, we find that:
Inflation exist the ongoing decline of the purchasing power or price level rise fashionable a likely an age.
Therefore, consistency services in a account for saved money that gives an sum charged for use of money that is to say inferior the swelling rate, in a period of extreme swelling will influence a decline of the ability to purchase of the amount of services plus interest in the account for saved money.
If the sum charged for use of money exist 10%, the amount, A, fashionable the or charges after a likely opportunity will exist 1.1A
If the swelling rate exist 15%, the value of ability sold out at first at A, will evolve into 1.15A following in position or time the given extent of time and the amount fashionable the or charges will not any more within financial means purchase the goods it exist at first able to perform well to purchase, or the amount fashionable the account for saved money will lose value
See more about finances at brainly.com/question/10024737
What is the hypotenuse of a right triangle if the legs are each 20 inches long? Round to the nearest whole number.
A. 28
B. 29
C. 30
D. 31
Answer:
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28
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 20² + 20² = 400 + 400 = 800 ( take the square root of both sides )
h = [tex]\sqrt{800}[/tex] ≈ 28 in ( to the nearest whole number )
Does (-3, 3) make the equation y = -3x true?
========================================================
Explanation:
The point (-3,3) means x = -3 and y = 3 pair up together
So plugging in x = -3 should lead to y = 3 if (-3,3) was a solution
Plug x = -3 into y = -3x to find that
y = -3x
y = -3*(-3)
y = 9
So x = -3 and y = 9 should be the actual pair (not x = -3 and y = 3)
---------------
Put another way
y = -3x
3 = -3(-3) ... replace x with -3 and y with 3
3 = 9 ... which is false
This shows (x,y) = (-3,3) is not a solution
Solve for X step by step
Complete the following statement.
5(12+5)=
PEMDAS:
perenthesis, exponents, multiplication + division, addition and subtraction.
so you add first, to get 12+5=17.
then you multiply, to get 5*17 =85
Answer:
85
Step-by-step explanation:
PEMDAS:
First you do parenthesis so add the 12 and 5 together to get 17.
Now you are left with 5(17).
from there multiply to get your answer.
85
There were 22 bales of hay in the barn. Tom stacked more bales in the barn today. There are now 76 bales of hay in the barn. How many bales did he store in the barn?
Answer:
54 bales
Step-by-step explanation:
Answer:
54 Bales
Step-by-step explanation:
Subtract 22 from 76 to get 54
im still bad at math
Answer:Rip
Step-by-step explanation:
R
I
P
Marion left out reasons from her proof. Which reason best supports the statement?
PHOTO ABOVE
NEED HELP ASAP!! Use your equation that you got for peak A to find how high Tyler will have to climb to scale the peak. (4 points) (2 for correctly substituting values, 2 points for the correct height)
Answer:
40 feet
Step-by-step explanation:
x/20=6/3
3x/3=120/3
x=40 feet
Answer:
the top answer is correct
Step-by-step explanation:
1. Which diagram shows the construction of a 45° angle
Answer:
The answer is A.
Step-by-step explanation:
I pirnt the picture out and grabbed a ruler and started looking for the answer and If you look at A. with a ruler you can tell that it is a 45° angle.
Diagram of option(B) shows the construction of a 45° angle
What is arc?The arc is a portion of the circumference of a circle
In diagram of option(B),
∵ The arc constructed between two perpendicular lines
Hence, the angle is 45°
Diagram of option(B) shows the construction of a 45° angle
Learn more about arc
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