Answer:
Step-by-step explanation:
I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7
-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D
-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution
--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution
Answer:
1 4/5
Step-by-step explanation:
2x+7>-3x-2
2x+3x>-2-7
5x/5>-9/5
=1 4/5
Thanks Hope It Help
The robotics team purchased 3 androids for the purpose of programming. Each of the robots was $398, which included tax. If the tax rate is 8%, what is the TOTAL TAX to be paid?
Answer:
$95.52
Step-by-step explanation:
Number of robots = 3
Cost of each robots = $398
Tax rate = 8%
Amount of tax of each robots = 8% of $398
= 8/100 × $398
= 0.08 × $398
= $31.84
TOTAL TAX to be paid = Amount of tax of each robots × Number of robots
= $31.84 × 3
= $95.52
TOTAL TAX to be paid = $95.52
Find the slope
of the line passing through the points (3, 4)
and
(8, -3).
Answer:
-7/5
Step-by-step explanation:
I think let me know
Answer:
7/-5 or -7/5
Step-by-step explanation:
This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)
We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula
(3,4). (8,-3)
x1,y1 x2,y2
Slope Formula:
y1 - y2
x1 - x2
Inputting the values:
4 - (-3)
3 - 8
Solve:
7
-5
The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions
3. Given the graph below, determine whether each statement is true or false.
Answers:
TrueTrueTrueFalseFalse======================================
Explanation:
In this context, a zero is another term for x intercept or root. This is where the graph either touches or crosses the x axis. This occurs in three locations: x = -3, x = 2, and x = 0. So those are the three roots. That makes the first three statements true, while the remaining two others are false.
Side note: x = 0 doesn't always have to be involved. Its quite possible to have x = 0 not be an x intercept. The term "zero" is a bit misleading in that regard. I prefer either "root" or "x intercept" instead.
i need help ASAP please
Answer:
reflection over Y axis
Step-by-step explanation:
Answer:
I believe it is D) a reflection over the Y-axis
Step-by-step explanation
it is going over the Y-axis as if it is a sort of mirror, if it were going over the x-axis it would be flipped upside down, if it was A the shape would be going over the original shape. I don't know how to explain C. (I hope this helped and I hope it was correct lol)
Please help me solve this
Answer:
The 2nd one is 3x+1
The 3rd answer is x+3
Step-by-step explanation:
Given g(x)=4x-1 and f(x)=x-2
Subtracting both
4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1
The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3
help me plsssssssssssss
Answer:
bro the co ordinates are in the picture itself
Answer:
A'(-3,0) ; B'(0,0); C'(3,6) ; D'(-3,6)
Step-by-step explanation:
O(-6,-6)
A( -5 , -4) = A( -6+1 , -6 + 2)
A'(-6+3 ,-6+6) = A'(-3,0)
B(-4,-4) = B(-6+2 , -6+2)
B'(-6+6,-6+6)= B'(0,0)
C(-3,-2) = C(-6+3, -6+4)
C'(-6+9 , -6+12) = C'(3,6)
D(-5 , -2) = D(-6+1 , -6 +4)
D'(-6+3, -6+12)=D'(-3,6)
What is Index Law 2?
please give definition
LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.
Answer:
The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. The a represents the number that is divided by itself and m and n represent the powers. Here is an example for this rule.
The number of booker borrowed from a library each week follows a normal distribution. When sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30
Answer:
2.5%
Step-by-step explanation:
Given :
Mean, μ = 190
Standard deviation, σ = 30
Probability that more than 250 books are borrowed ;
x = 250
P(Z > z)
Z = (x - μ) / σ
P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]
P(Z > z) = P(Z > 2)
P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725
P(Z > 2) = 1 - P(Z < 2) = 0.02275
(0.02275 * 100)% = 2.275%
2.5% is closest to 2.275%
Can someone help me with this please
Answer:
.574
Step-by-step explanation:
This can be inputted in a calculator to achieve .57357643
To three decimal places that is .574
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
made $90 more than Amanda. If their total earnings for a week are $995, how much did each person make?
Answer:
Pam: $181
Amanda: $362
Julie: $452
Step-by-step explanation:
(What does Mike have to do with this problem?)
Let a = Amanda's pay
Let p = Pam's pay
Let j = Julie's pay
"Amanda made twice what Pam earned"
a = 2p
"Julie made $90 more than Amanda"
j = a + 90
j = 2p + 90
Pam earned p
Total salary
a + p + j = 2p + p + 2p + 90
Total salary
$995
2p + p + 2p + 90 = 995
5p = 905
p = 181
a = 2p = 2(181) = 362
j = 2p + 90 = 362 + 90 = 452
Answer:
Pam: $181
Amanda: $362
Julie: $452
Can someone please help me with this I’m struggling
Answer:
Equation: [tex]70=(x+3)x[/tex]
x = -10 or x = 7
x = 7 (width can't be negative)
x + 3 = 10
Step-by-step explanation:
Represent the width of the rectangle by x. "The length of a rectangle EXCEEDS the width by 3" means the length is 3 LONGER than the width, so the length is represented by the expression x + 3.
Area = (length)(width)
70 = (x + 3)x
Multiply out the right side.
[tex]70=x^2+3x\\x^2+3x-70=0[/tex]
Factor the left side.
[tex](x+10)(x-7)=0[/tex]
Each binomial could equal 0, so
[tex]x+10=0 \text{ or }x-7=0\\x=-10\text{ or }x=7[/tex]
The negative solution does not make sense as the width of a rectangle.
x = 7, making the length, x + 3 = 10
Answer:
Pls mark this as brainiest
Step-by-step explanation:
Area of the rectangle = length x breadth
consider 'x' to be width
therefore length = x+3
area = (x+3)*x
Area = 70 square
x = 7
x+3 = 7+3
= 10
verification
7 x 10
= 70
m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b
Answer:
m,4+ a+b
Step-by-step explanation:
an exterior angle equals the sum of the 2 opposite interior angles
6.7.35
Question Help
As(t)
800-
A toy rocket is launched from the top of a building 360
feet tall at an initial velocity of 112 feet/second. The
height of the rocket t seconds after launch is given by
the equation s(t)= - 16t2 + 112t+ 360. When does the
rocket reach its greatest height? What is the greatest
height?
600-
400-
200-
0-
0 1
8 9 10
The rocket reaches its greatest height at
feet after
second(s)
Answer:
Step-by-step explanation:
This is most easily solved with calculus, believe it or not. It is way more direct and to the point, with a whole lot less math!
The position function is given. The velocity function is the first derivative of the position, so if we find the velocity function and set it equal to 0, we can solve for the amount of time it takes for the rocket to reach its max height. Remember from physics that at the top of a parabolic path, the velocity is 0.
If:
[tex]s(t)=-16t^2+112t+360[/tex], then the velocity function, the first derivative is:
v(t) = -32t + 112 and solve for t:
-112 = -32t so
t = 3.5 seconds. Now we know how long it takes to get to the max height, we just need to find out what the max height is.
Go back to the position function and sub in 3.5 for t to tell us that position of the rocket at 3.5 seconds, which translates to the max height:
[tex]s(3.5)=-16(3.5)^2+112(3.5)+360[/tex] and
s(3.5) = 206 feet. I imagine that your answer, if you had to choose one from the list, would be 200 feet, rounded a lot.
Please help!!!!!!!!!!!!!!
Answer:
choice A is the answer
Step-by-step explanation:
[tex]5 + 2.75s \leqslant 21 \\ 2.75s \leqslant 21 - 5 \\ s \leqslant 16 \div 2.75 \\ s \leqslant 5.82[/tex]
but since we only can have a whole number in the number of stops, she can only travel 5 stops with the money she has.
Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution
Answer:
Step-by-step explanation:
taking the inverse is essentially saying
x = (f(x) + 3)^2
root(x) - 3 = f(x) and -root(x) -3 = f(x)
(you have to take both the positive and negative roots)
plug in 49 for x and get 4 and -10.
The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4
What does the inverse notation f⁻¹(x) represents?The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)
The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;
Taking the square root of both sides of the equation, we get;
√(f(x)) = √((x + 3)²)
√(f(x)) = (x + 3)
Subtracting 3 from both sides, we get;
√(f(x)) - 3 = x + 3 - 3 = x
√(f(x)) - 3 = x
The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;
The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x
When the output value is f(x) = 49 we get;
f⁻¹(49) = √(49) - 3 = ±7 - 3
Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;
f⁻¹(49) = 7 - 3 = 4
f⁻¹(49) = 4
Learn more on the inverse of a function here: https://brainly.com/question/1559611
#SPJ2
!!!!!!URGENT!!!!!
Two similar rectangles have a proportional coefficient of 1:2, and the perimeter of the smallest one is 80 m, find the
perimeter of the small rectangle
Answer:
160m
Step-by-step explanation:
Since the rectangles are similar and we have their proportion of coefficient, the larger rectangle is twice the smaller rectangle.
Furthermore, the ratio of two longer sides should equal the ratio of the two shorter sides.
Therefore, for our case, we multiply the smaller rectangle by 2.
Hence;
(80 × 2)m
= 160 m
NB:
The ratio of the areas of two similar shapes or figures is equivalent to the square of the corresponding sides.
5x
If f(x) = 5x and g(x)= 5x/3, find f(x) divided by g(x).
A. 1/3
B. 3
C. 3/25x^2
D. 25x^2/3
i think its b Step-by-step explanation:
[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]
factor x^2-3x-28 using the x method
Answer:
[tex] {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)[/tex]
When a coin and die are tossed together find the probability of getting:
a)coin with head and die with prime number
b)coin with head and die with composite number
c)coin with tail and die with even prime number
Answer:
a) 1/4
b) 1/6
c) 1/12
Step-by-step explanation:
Let S be the sample space.
S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
n(s) =12
Events
A: coin with head and die with prime number .
B:coin with head and die with composite number.
C:coin with tail and die with even prime number.
a) A={H2,H3,H5}
n(A) = 3
P(A) =n(A)/n(S)
=3/12
= 1/4
b) B={H4,H6}
n(B)= 2
P(B) = n(B)/n(S)
= 2/12
= 1/6
c) C ={T2}
n(C) = 1
P(C) = n(C)/n(S)
= 1/12
please help me solve the equations, I re-wrote the question under each of them so you can read it better. Ty
Answer:
45:13/36
46:86/63
47:19/42
48:9/10
49:1/12
similar right triangles, i need help with this please
Answer:
Step-by-step explanation:
the answer is a)
cos(30 +x) =5/3 find x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
I get no solution also (the answer is imaginary).
Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?
Answer:
12 miles
Step-by-step explanation:
1/3 of an hour = 20 minutes = 4 miles
1 minute = 4/20 miles
60 minutes = 4/20 x 60 miles
= 4 x 3 miles
= 12 miles
60 minutes = 1 hour
=> 1 hour = 12 miles
Jacks unit rate is 12 miles/hr
Answer:
12
Step-by-step explanation:
There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round
4/0.333333333 = 12.000000001
The answer is obviously meant to be 12.
The other way is more sophisticated, but more accurate.
4/1 // 1/3 This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.
4/1 * 3/1 = 12
The first method is easier to understand. The second is more accurate and more useful for physics.
Instructions: Point T is the centroid. Find TE if XE= 21.
Answer:
TE = 7
Step-by-step explanation:
The centroid divides a median in this ratios 1/3 and 2/3. In particular
XT = 2/3 XE
XT = 2/3 * 21
XT = 14
TE = 7
What’s the answer? I don’t understand the question and I came to see if you all can help
Answer:
15/2 that is the answer man
I’m practically begging someone please help me!!
The measure of two complementary angles are 2x degree and 3x degree, then value of x is
Answer:
2x+3x=90
or ,5x=90
or,x=90/5
X=18
Answer:
90/5=18 degrees
Step-by-step explanation:
Question 4 of 5
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each explicit formula to its corresponding recursive formula.
(8) = 5(5)(1-1)
(n) = 3 +5(n-1)
(3) = 5+3(1-1)
7(n) = 3(5)(n-1)
$(n) = 5 +5(n-1)
f(1) = 5
(*) = 3;(n - 1), for 3
(1) = 5
(n) = f(n-1) +5, for n?
f(1) = 5
f(n) = f(n-1) + 3, for n?
Given:
The recursive formulae.
To find:
The correct explicit formulae for the given recursive formulae.
Solution:
If the recursive formula of a GP is [tex]f(n)=rf(n-1), f(1)=a, n\geq 2[/tex], then the explicit formula of that GP is:
[tex]f(n)=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
The first recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of a GP with a=5 and r=3. So, the required explicit formula is:
[tex]f(n)=5(3)^{n-1}[/tex]
Therefore, the required explicit formula for the first recursive formula is [tex]f(n)=5(3)^{n-1}[/tex].
If the recursive formula of an AP is [tex]f(n)=f(n-1)+d, f(1)=a, n\geq 2[/tex], then the explicit formula of that AP is:
[tex]f(n)=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
The second recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an AP with a=5 and d=5. So, the required explicit formula is:
[tex]f(n)=5+(n-1)5[/tex]
[tex]f(n)=5+5(n-1)[/tex]
Therefore, the required explicit formula for the second recursive formula is [tex]f(n)=5+5(n-1)[/tex].
The third recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an AP with a=5 and d=3. So, the required explicit formula is:
[tex]f(n)=5+(n-1)3[/tex]
[tex]f(n)=5+3(n-1)[/tex]
Therefore, the required explicit formula for the third recursive formula is [tex]f(n)=5+3(n-1)[/tex].
The diagram shows a square with side length 5cm.
The length of the diagonal is y cm.
Find the exact value of y.
Answer:
5sqrt2
Step-by-step explanation:
Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.
Find the distance between the
following points using the
Pythagorean theorem: (5, 10)
and (10, 12)
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
*Note:
The distance formula is derived from the Pythagorean Theorem.
Step 1: Define
Identify
Point (5, 10)
Point (10, 12)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{5^2 + 2^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25 + 4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{29}[/tex]