Answer:
t = -3
Step-by-step explanation:
Simplify 7+4t+5t+177+4t+5t+17 to 24+9t24+9t.
24+9t=t
24+9t=t
2 Subtract 9t9t from both sides.
24=t-9t
24=t−9t
3 Simplify t-9tt−9t to -8t−8t.
24=-8t
24=−8t
4 Divide both sides by -8−8.
-\frac{24}{8}=t
−
8
24
=t
5 Simplify \frac{24}{8}
8
24
to 33.
-3=t
−3=t
6 Switch sides.
t=-3
t=−3
I need help with this
Answer:
I WAS BORN TO FLEX DIMONDS ON MY NECK I LIKE MORNING CHECKS I LIKE MORING S**
Step-by-step explanation:
Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
function f gives the distance of a dog from a post, in feet, as a function of time in seconds, since its owner left. Find the value of f(20) and of f(140)
The value of f(20) is 3 feet , and the value of f(140) is 3.5 feet .
In the question ,
the graph represents a function which gives the distance of a dog from a post (in feet ) ,
to find, f(20) which means the distance of the dog from the post after 20sec .
As we can see from the graph that at t=20 sec the distance from post (in feet ) is 3feet .
which means f(20) = 3feet .
Also from the graph we see that at t=140 sec the distance from post (in feet ) is 3.5 feet .
which means f(140) = 3.5 feet .
Therefore , the value of f(20) is 3 feet , and the value of f(140) is 3.5 feet .
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TAKING TEST PLEASE HELP
Which trigonometric functions have a domain of [–1, 1]?
y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arcsinx and y = arctanx
y = arcsecx and y = arccscx
Answer:
A
Step-by-step explanation:
Edge
The trigonometric functions y = arcsinx and y = arccosx have a domain of [–1, 1] option (A) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The domain of a trigonometric function is [-1, 1]
As we know,
The range of the sin x and cos x functions is [-1, 1]
The inverse of the above trigonometric functions are:
arc sin x and arc cos x
The range of sin x and cos x becomes domain.
So the domain of y = arcsinx and y = arccosx is [-1, 1].
Thus, the trigonometric functions y = arcsinx and y = arccosx have a domain of [–1, 1] option (A) is correct.
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Find the quotient of -72÷-9
Answer: 8
Step-by-step explanation:
hope this helped :)
Answer:
8
Step-by-step explanation:
Suppose you just deposited $500 into a bank account that has earned 5% interest on the amount you initially
invested. If the new balance is $1,760, what was your initial investment?
Answer:
$1200
Step-by-step explanation:
Let the initial amount that you invested be $ x.
We are told that the new balance after investing $500 is $1760.
Thus, the balance you had before the deposit $500 us;
$1760 - $500 = $1260
So, when the amount invested was $x, the balance was $1260.
Since this money earned 5% interest on the amount you initially
Thus;
$1260 = initial deposit + (5% of inital deposit)
Thus;
x + (5% * x) = 1260
x + (0.05x) = 1260
1.05x = 1260
x = 1260/1.05
x = $1200
Find the quotient 17÷3,145
Answer:
0.0054054054
Also simplify to 0.005
Answer:
17÷3,145=0.00540
If the coordinates of point a are (-2 3) what is the image of a under y-axis d3
Answer:
The coordinates of the image under the y-axis will be:
a'(2, 5)Step-by-step explanation:
Given the point
(2,3)We know that when we reflect a point across the y-axis, the y-coordinate remains the same, but the x-axis reverses its sign.
Thus,
Rule of reflection under y-axis:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the P(x, y)
Given that the point
a(-2, 5)Thus, the coordinates of the image under the y-axis will be:
(x, y) → (-x, y)
a(-2, 5) → a'(-(-2), 5) = a'(2, 5)
Therefore, the coordinates of the image under the y-axis will be:
a'(2, 5)work out and simplify 3/8 - 1/16
Answer:
3x4/8×4-1x2/16x2
12/32-2/32=10/32
hope it helped
Please help with this math question...
When using Interval Notation, explain how the grouping symbols are used and how to determine the order of the numbers used in the interval. Use words such as: brackets, smallest, non-included, included, largest, interval, and parentheses.
Answer:
Step I: Simplify the operations inside grouping symbols. Step II: Simplify the powers. Step III: Solve multiplication and division from left to right. Step IV: Solve addition and subtraction from left to right.
Write the ratio
2/3 /5
in simplest form
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15
What is the image point of (3, – 7) after the transformation D3 o R180° ?
Answer:
Step-by-step explanation:
Here is a guide to help:
Best of luck!
Answer: (9,21)
Step-by-step explanation:
R180 (3,-7) = (-(3),-(-7)) = (-3,7)
D3 (−3,7) = (3 x −3, 3 x 7) = (−9,21)
what is a linear equation that contains these points?
1. Find the slope between (-1, -3) and (4, 0)
a. 5/3
b. -3
c. - 3/5
d. 3/5
2. Given the equation: 3y = 15x + 9, find slope.
a. 5
b. 2/3
d. -2/3
c. Undefined
3. Given a point and a slope, write the equation in slope-intercept form; (1, 2) and m= -3
a. y = -3x + 1
b. y = -3x – 5
c. y = -3x + 5
d. y = -3x – 1
4. Write the equation of the line in slope-intercept form: y-int = (0,3) , m = 2
a. y = 2x + 3
b. y = -2x + 3
c. y = 2x
d. y = 3x +2
5. Given two points, write the equation in point-slope form: (1, 3) and (-2, 12)
a. y – 1 = -3(x – 3)
b. y – 3 = 5(x – 1)
c. y – 3 = -3(x – 1)
d. y + 12 = -3(x – 1)
6. Write the equation of the function graphed below.
a. y= x - 1
b. y= -x - 4
c. y = x - 4
d. y = x +1
7. The table below represents a linear function. What is the slope of this function?
a. 1/3
b. -1/3
c. 3
d. -3
Answer:
Step-by-step explanation:
1. Slope = (y2-y1) / (x2-x1) = -3-0/ -1-4= -3/-5= 3/5 (d)
2.
Compare to the equation y= mx+b, where m is the slope
3y = 15x+9 divide by 3 each term
y = 15x/3 +9/3
y= 5x + 3 so slope is 5 ( a)
3.
use first the equation point- slope y-y1 =m (x-x1) and rearange it to be in slope-intercept form y=mx +b
y-y1 =m (x-x1)
y-2 = -3( x-1)
y = 2-3x+3
y= -3x +5 ( c)
4.
if the point y- intercept is at (0, 3) then the y-intercept is b=3
y= mx+b
y = 2x +3 (a)
5.
the equation point- slope y-y1 =m (x-x1), find the slope m= (y2-y1) / (x2-x1)
m= 3-12/ 1+2 = -9/3 = -3
y-1 = -3(x-3) is (a)
6.
y-intercept is at -4 ( yet the graph is off a bit -tell your teacher)
slope m = 1
so the equation is y=mx+b and here is y=x -4 (c)
7.
the slope is m= (y2-y1) / (x2-x1) si pich any two points from the table and calculate the slope
for example (0, 3) and (1, 0)
m = (3-0)/ (0-1) = 3/-1 = -3 (d)
1. Slope = (y2-y1) / (x2-x1) = -3-0/ -1-4= -3/-5= 3/5 (d)
2.
Compare to the equation y= mx+b, where m is the slope
3y = 15x+9 divide by 3 each term
y = 15x/3 +9/3
y= 5x + 3 so slope is 5 ( a)
3.
use first the equation point- slope y-y1 =m (x-x1) and rearange it to be in slope-intercept form y=mx +b
y-y1 =m (x-x1)
y-2 = -3( x-1)
y = 2-3x+3
y= -3x +5 ( c)
4.
if the point y- intercept is at (0, 3) then the y-intercept is b=3
y= mx+b
y = 2x +3 (a)
5.
the equation point- slope y-y1 =m (x-x1), find the slope m= (y2-y1) / (x2-x1)
m= 3-12/ 1+2 = -9/3 = -3
y-1 = -3(x-3) is (a)
6.
y-intercept is at -4 ( yet the graph is off a bit -tell your teacher)
slope m = 1
so the equation is y=mx+b and here is y=x -4 (c)
7.
the slope is m= (y2-y1) / (x2-x1) si pich any two points from the table and calculate the slope
for example (0, 3) and (1, 0)
m = (3-0)/ (0-1) = 3/-1 = -3 (d)
solve the equation below -2x+16=10
Answer:
x=3
Step-by-step explanation:
The Question’s above
Answer:
B
Step-by-step explanation:
If 3 sodas cost $6 then what is the cost per soda??
Answer:
$2 per soda
Step-by-step explanation:
6/3= 2
Which matrix represents the system of equations?
3x + y = -9
x + 5y = 16
A. [3 0 ]
[0 5 ]
B. [3 1]
[1 5]
C. [3 0| -9]
[0 5| 16]
D. [3 1| -9]
[ 1 5| 16]
9514 1404 393
Answer:
D. [3 1 | -9]
[ 1 5 | 16]
Step-by-step explanation:
The matrix of B represents the coefficients of the variables. It would generally be part of a matrix equation:
[tex]\left[\begin{array}{cc}3&1\\1&5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}-9\\16\end{array}\right][/tex]
However, the entire system of equations can be represented by the augmented matrix ...
[tex]\left[\begin{array}{cc|c}3&1&-9\\1&5&16\end{array}\right] \qquad\textbf{matches D.}[/tex]
8x+5y=-13 3x+4y=10 solve
Answer:
x=−6 and y=7
Step-by-step explanation:
Step: Solve8x+5y=−13for x:
8x+5y=−13
8x+5y+−5y=−13+−5y(Add -5y to both sides)
8x=−5y−13
8x
8
=
−5y−13
8
(Divide both sides by 8)
x=
−5
8
y+
−13
8
Step: Substitute
−5
8
y+
−13
8
forxin3x+4y=10:
3x+4y=10
3(
−5
8
y+
−13
8
)+4y=10
17
8
y+
−39
8
=10(Simplify both sides of the equation)
17
8
y+
−39
8
+
39
8
=10+
39
8
(Add 39/8 to both sides)
17
8
y=
119
8
17
8
y
17
8
=
119
8
17
8
(Divide both sides by 17/8)
y=7
Step: Substitute7foryinx=
−5
8
y+
−13
8
:
x=
−5
8
y+
−13
8
x=
−5
8
(7)+
−13
8
x=−6(Simplify both sides of the equation)Step: Solve8x+5y=−13for x:
8x+5y=−13
8x+5y+−5y=−13+−5y(Add -5y to both sides)
8x=−5y−13
8x
8
=
−5y−13
8
(Divide both sides by 8)
x=
−5
8
y+
−13
8
Step: Substitute
−5
8
y+
−13
8
forxin3x+4y=10:
3x+4y=10
3(
−5
8
y+
−13
8
)+4y=10
17
8
y+
−39
8
=10(Simplify both sides of the equation)
17
8
y+
−39
8
+
39
8
=10+
39
8
(Add 39/8 to both sides)
17
8
y=
119
8
17
8
y
17
8
=
119
8
17
8
(Divide both sides by 17/8)
y=7
Step: Substitute7foryinx=
−5
8
y+
−13
8
:
x=
−5
8
y+
−13
8
x=
−5
8
(7)+
−13
8
x=−6(Simplify both sides of the equation)
Answer: The intersection between these 2 lines are (-6,7)
Source: Desmos Graphing Calculator (look it up its very helpful and gives answers)
Adriana went to school for 6 2/5 hours on Tuesday. What is 6 2/5 expressed as a decimal?
Answer:
6.4 .
Step-by-step explanation:
this was on my test
Last year Jonathan was 59 and 5/8 inches tall. This year he is 64 and 3/8 inches tall. How many
inches did he grow?
Answer: John grew 4 and 3/4 inches in one year.
Step-by-step explanation:
Start by subtracting 64.375 (64 and 3/8) by 59.625 (59 and 5/8).
Type your numbers into a calculator (both ways can be put into your calculator, but decimals are easier for you to type)
Get your final answer of 4.75.
Hope this helps!
The area of a rectangle is 24 square centimeters and its side lengths are x centimeters and x+ 2 centimeters,
a. Find the side lengths of the rectangle. Justify your answer.
b. Find the perimeter of the rectangle.
Step-by-step explanation:
area of rectangle= x ( x +2 ) = 24
X2 + 2X = 24
X 2 +2X _24 = 0
(X +6 ) ( X _4 ) = 0
X= 4
X= - 6.......refused
side length of rectangle is 4 , 6
perimeter= 2( 4+6) = 20 Cm
The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.
What is perimeter of rectangle?The perimeter of a rectangle is the sum of its four sides. Hence,
Perimeter of Rectangle = 2 (Length + Width) units.
What is area of rectangle?The area of the space occupied within the perimeter of a rectangle is called the area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.
Area of rectangle = Length * Breath
According to the question
Area of a rectangle = 24 square centimeters
Side length = x+ 2
Side Breath = x
Now,
a> using Formula of Area of rectangle
Area of rectangle = Length * Breath
substituting the value
24 = x * (x+2 )
24 = [tex]x^{2} +2x[/tex]
[tex]x^{2} +2x[/tex] - 24 = 0
[tex]x^{2} + (6-4)x -24 =0[/tex]
(x +6 ) (x-4) = 0
x = -6 , +4
side cannot be negative
Therefore
Breath of rectangle (x) = 4 cm
Length of rectangle (x+2) = 6 cm
b> Perimeter of the rectangle = 2 (Length + Breath) units.
substituting the value
Perimeter of the rectangle = 2 ( 4 + 6 )
= 20 cm
Hence, The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.
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Need help with this one
Please and thank you
Answer: -2 is a no. -9 is a yes. 2 is a no. -8 is a no.
Step-by-step explanation:
Your cell phone company charges $20 per month for 500 minutes plus an additional
10 cents per minute for additional usage. If you use 510 minutes this month how
much should you expect to pay?
$1000
$21
$20
$20.10
Answer:
$21
Step-by-step explanation:
$20 for the 500 minutes
We still have to pay for 10 minutes.
10 cents per minute.
10centsx10 minutes.
100 cents, also known as 1 dollar.
$20 plus $1 means the answer is $21.
Hope this helps!
-AxekickNebulite
Average student loan debt after a bachelors degree increases from 18,108 in 2004 to 28,522 2014. Find the absolute change
Answer:
The absolute change is 10,414
Step-by-step explanation:
To get the absolute change, we simply use the mathematical formula below
Absolute change = New value - Original value
From the question, the new value is 18,108 while the original value is 28,522
So the absolute change will be;
28,522-18,108 = 10,414
what is the number which is to be added with 49x square + 4y square to get a perfect square
Answer:
The number which should be added with 49x square + 4y square to get a perfect square is 28xy
Step-by-step explanation:
We need to find the number which is to be added with 49x square + 4y square to get a perfect square.
The expression given is: [tex]49x^2+4y^2[/tex]
For the expression to be perfect square it should be of form: [tex]a^2+2ab+b^2=(a+b)^2[/tex]
Now, we are given [tex]49x^2+4y^2[/tex] and we need to find the middle term
So, solving:
[tex]49x^2+4y^2\\=(7x)^2+(2y)^2+2(7x)(2y)-2(7x)(2y)\\=7x^2+28xy+(2y)^2-28xy\\=(7x+2y)^2-28xy[/tex]
The number which should be added with 49x square + 4y square ([tex]49x^2+4y^2[/tex]) to get a perfect square is 28xy
help i need this soon its 8th grade math
Answer:
50 degrees
Step-by-step explanation:
vertical angles are the same
angle LPM = 180-60-70
angle LPM = 180-130 = 50
angle LPM = angle KPN
50=angle KPN
6. A stack of paper is 4.875 cm tall.
How many pieces of paper are in
the stack if each piece is 0.0075 cm
thick?
Answer:
650 pieces of paper
Step-by-step explanation:
each piece is 0.0075 so all you need to do is divide 4.875 by 0.0075
3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?
Answer:
i think they both scored the same
Answer:
Colton did.
Step-by-step explanation:
Jack's score was 80%.
Colton got a score of 83.33...
I got Colton's score by solving 10/12.
Can anybody help me with this plzzz‼️
(If answer is correct i will cashapp you $6)
Step-by-step explanation:
h(x) = 3. g(x) + 5
x= -1 h(x) = 3×8 + 5= 29
x= 0h(x) = 3×5 + 5= 20
x= 2 h(x) = 3×1 + 5= 8
x= 5 h(x) = 3×-5 + 5= -10
[tex]h(x) = 3*g(x)+5[/tex]
When x = -1.
Substitute x = -1 in both h(x) and g(x). | As shown in the table, when x = -1, g(x) = 8 |
h(-1) = 3*8+5 = 24+5 = 29
h(0) = 3*5+5 = 15+5 = 20
h(2) = 3*1+5 = 3+5 = 8
h(5) = 3*(-5)+5 = -15+5 = -10