Answer:
If I am not mistaking it should be -7.5
Step-by-step explanation:
Answer:
b = -15/2
y = -3x -15/2
Step-by-step explanation:
The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.
__
intercepty = mx + b . . . . . . . equation of a line with slope m and y-intercept b
y -mx = b . . . . . . . . subtract mx from both sides
For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...
b = -3/2 -(-3)(-2) = -3/2 -6
b = -15/2 . . . . . the value of b for this line
__
equation of the lineThen the equation for the line is ...
y = mx +b
y = -3x -15/2
12. Calculate. a) - (-/-)²2 c) 49
Answer:
write your questions very well
Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each tree costs $20.75 and a six-pack of pansies costs $2.50. Explain how to write an expression to find Katherine’s final cost.
The mathematical expression that Katherine requires to know the price of the objects that she is going to buy is 8 * ($20.75) + 120 * ($5/12) = $216
How to write an expression for this procedure?To find a mathematical expression for this procedure we must take into account the values that we know.
For example, we know that it requires 15 pansies for each tree. This can be expressed like this:
15 * 8 = 120 pansies.On the other hand, we must calculate the price of each tree and the pansies that are going to be used to surround each one as shown below.
Cost of trees = 8 * $20.75Pansies Cost = 15 * ($5/12)According to the above, the final expression, in which all the necessary data for Katherine is included, is:
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Answer:
Answer From Edge 2023
Step-by-step explanation:
The total cost of the trees must be added to the total cost of the pansies. The tree cost is the cost of one tree times eight. The pansy cost is the cost for 15 pansies multiplied by 8 trees, then divided by the number of pansies in a pack: 20.75(8) + 2.50(15)(8) ÷ 6.
HURRY I NEED HELP QUICK
Gaira was asked to evaluate the algebraic
expression –3.8x + 6 when x = –7.5.
–3.8(–7.5) + 6(–7.5)
28.5 + (–45)
(–16.5)
The value of x the function when x = -7.5 is 34.5
Functions and valuesFunctions are written in terms of variables
Given the expression –3.8x + 6, when the value of x is -7.5, hence;
f(x) = –3.8x + 6
f(-7.5) = -3.8(-7.5) + 6
f(-7.5) = 28.5 + 6
f(-7.5) = 34.5
Hence the value of x the function when x = -7.5 is 34.5
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Jerome solved a system of equations and found that it had an infinite number of solutions. Which system could be the system that Jerome solved
One example of a system of equations that has infinite solutions is given by:
x + y = 2.
2x + 2y = 4.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
A system will have infinite solutions when the two equations are multiples, hence one example is given by:
x + y = 2.
2x + 2y = 4.
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A map of sweden shows a scale of 5 cm = 16 km. if the distance between knivsta and stockholm is 17.2 cm on the map how many km is it?
Answer:
55.04 km
Step-by-step explanation:
17.2 cm / 5 cm = 3.44
16 km x 3.44 = 55.04 km
You could also solve in this fashion:
[tex]\frac{5}{16}[/tex] = [tex]\frac{17.2}{x}[/tex]
16 x 17.2 = 5x
Multiply 16 x 17.2 = 275.20
Divide the 275.20 by 5 = 55.04
Escribe sobre lo que opinas del SAT
Point QQQ is located at (-4, 6)(−4,6)left parenthesis, minus, 4, comma, 6, right parenthesis. Point RRR is located at (8, 6)(8,6)left parenthesis, 8, comma, 6, right parenthesis.
What is the distance from point QQQ to point RRR?
=========================================================
Explanation:
Points Q and R have the same y coordinate of 6.
This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.
Going from -4 to 8 is a distance of 12 units because either
-4-8 = -12 which flips to +12 or 12
8-(-4) = 8+4 = 12
Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.
Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.
--------------------------------
If you need to use the distance formula, then this is what the steps may look like:
[tex]Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\[/tex]
In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.
If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.
If a female student is selected at random, find the probablility that the student is a senior.
Add all the females together: 3 + 4 + 6 + 3 = 16
Female seniors = 3
Probability of picking a senior = 3/16 = 0.1875 x 100 = 18.75%
Rounded to the nearest whole number = 19%
Answer: 19%
i need help to find the square units of this triangle
Answer:
24square unit
Step-by-step explanation:
triangle area=1/2.b.h
=1/2.8.6=24
I totally don't understand this I will give you 20 points if you help me with it
Answer:
-4.25
Step-by-step explanation:
The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, StartRoot negative x EndRoot, is not necessarily undefined and what this means about the domain and range of f(x) = StartRoot negative x EndRoot.
Part A
The reason why the (√(-x)) is not necessarily undefined, is because x is a placeholder, such that x can take on a negative value for which (-x) is a positive number, therefore, √(-x) = √(+ve number) is a defined real number.
Part B
The domain is x ≤ 0
The range is f(x) ≥ 0
What is Real Number?A real number is a value of a continuous quantity that can represent a distance along a line.
Here, The given and required information:
Given that √(-144) = Undefined, why is √(-x) not necessarily undefined
The given function, f(x) = √(-x)
Part A
The square root of a real number with a negative value is an imaginary number
The square root of a real number with a positive value or zero, is a real number
√(144) = ±12
A variable, x, is an input value of a function that is a quantity place holder in the function which is a function argument
The given function is f(x) = √(-x)
Where;
x = An argument of the function
When x ≤ 0, such that x is a negative real number or zero, we have;
x = R⁻ or 0
Therefore;
-x= -R⁻ or 0 = R⁺ or 0
-x = R⁺
From which we get;
f(-x)= √(-x) = √(R⁺) = Defined
f(-x) = √(R⁺) ≥ 0 The range of the function is f(x) ≥ 0
An example, when x = -16, we have;
-x = -(-16) = 16
√(-x) √(16) = 4 (Defined)
Part B;
Thee domain where the function is defined is where x = -R⁻, x ≤ 0
The output of the function f(x) is defined which is the range = f(x) ≥ 0
Thus, the reason why the √(-x) is not necessarily undefined, is because the value of x can represent a negative real number or zero.
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Answer:
If x is a negative number, then negative x is a positive number and the square root can be determined. Therefore, the domain of the function is x ≤ 0. As a result, the range is never negative either, so it is y ≥0.
Step-by-step explanation:
answer on edge
What is 95x9 divided by 14?
Answer:
213.75
Step-by-step explanation:
95×9=855
855÷4=213.75
PLS HELP ASAP !!!!!!!!!!
Answer:
Alice
Step-by-step explanation:
14$ the amount he had - X the amount he lost (the unknown) is what is described by Alice
A cylindrical cup is 15 centimeters in height. When filled to the very top, it holds 450 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.
Answer:
The radius of the cup is 3.1 cm.
Step-by-step explanation:
First, we the volume of a right cylinder is [tex]V = πr^{2} h[/tex].
V = volume of the cylinder[tex]π[/tex] = pir = radius of the cylinderh = height of the cylinderNow, using the information that was given to us, we can plug what we know into the equation: [tex]450=πr^{2}(15)[/tex].
From here, we simply solve for r by isolating it to find the radius. *Remember, what we do to one side we must do to the other.
Divide both sides by 15 to cancel it out on the right: [tex]30=πr^{2}[/tex]Divide both sides by pi to cancel it out on the right: [tex]9.549296586=r^{2}[/tex] (do not round until you have your final answer)Square root both sides to cancel out the exponent on the right: [tex]3.090193616=r[/tex]Round to the nearest tenth to get [tex]r=3.1[/tex]Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.
Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)
helpp asapp please due soonn
Answer:
A.
Step-by-step explanation:
1.5m + 6.5q > 100
✨♥️
How long does it take $500 to double at a simple interest rate of 24%?
Answer:
4 years and 2 months
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
A = $500 × 2 = $1,000P = $500r = 24% = 0.24Substitute the given values into the formula and solve for t:
[tex]\implies \sf 1000 = 500(1 + 0.24t)[/tex]
[tex]\implies \sf \dfrac{1000}{500}=(1 + 0.24t)[/tex]
[tex]\implies \sf 2=1 + 0.24t[/tex]
[tex]\implies \sf 1 = 0.24t[/tex]
[tex]\implies \sf t=\dfrac{1}{0.24}[/tex]
[tex]\implies \sf t=4 \frac{1}{6} \:years[/tex]
[tex]\implies \sf t=4\:years\:2\:months[/tex]
Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.
There are 13 different bags of candy for a party. Susan randomly selects 7 bags. How many different combinations are there?
There are 1716 different combinations of the bags
How to determine the number of combination?The given parameters are:
Total, n = 13
Bags to select, r = 7
The number of combination is calculated using:
[tex]Total = ^{13}C_7[/tex]
Evaluate the combination expression
Total = 1716
Hence, there are 1716 different combinations
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Answer: 1716 different combinations of the bags
Step-by-step explanation:
Please help me with this
Answer:
point B
Step-by-step explanation:
Answer:
It's Point B.
Go to 5 on the x-axis and then go up 3
The 5 is the x-axis and 3 is the y-axis
Which cross-sectional shapes do you find the most surprising? Explain why.
By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising.
The cross-section of a three-dimensional object?In this exercise, you're required to use an online tool to investigate and determine the cross-sections of three-dimensional objects such as pyramids, cylinders, cones, etc., by passing different planes through them.
By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising because rotating the slice around Y produced a circular curve that transitioned into a parabolic curve.
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8 out of 15
Select the graph that represents the inequality.
2x+3y>6
Answer:
3rd graph
Step-by-step explanation:
Since the inequality has a greater than symbol (>) and not a greater than or equal to symbol ([tex]\geq[/tex]), the graph will have a dotted line, meaning only the third and fourth graphs could be the one.
Since 2x+3y is GREATER THAN 6 and not LESS THAN 6, we know that the shaded part of the graph will be above (or more) than the line. Therefore, the third graph is the graph that represents the inequality.
The attached picture proves it :)
Hope this helps!
Given the function f(x)=4x+10 and g(x), which function has a greater slope?
The complete question is
"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."
The correct option from the given function are A; f(x) has a greater slope.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of a function in the form of y = mx + C is m,
So the slope in the function
f(x)=4x+10
m = 4
Now when you have a function but you only have a table to evaluate it, to calculate the slope
(p, q) = (4, 7)
(x, y) = (6, 9)
This means that:
[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1[/tex]
Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,
Thus, f(x) has a greater slope than g(x).
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QUESTION 8
If cos xº = -
OA. 175⁰
OB. 1500
OC. 1350
OD.
120⁰
-√3
2
and 90°
A
Answer:
B. 150
Step-by-step explanation:
Is (x+5) a factor of f(x)=x^3 - 4x^2 + 3x + 7? use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
No
Step-by-step explanation:
Use synthetic division
-5 | 1 -4 3 7
____-5 45 -240
1 -9 48 | -233
Since the remainder is not 0, then x+5 is not a factor of the polynomial
x:20=5:x
Calculate the positive value of x
0/1
What is the equation of
the line in y=mx+b form?
(Photo)
Answer:
y=-15x+100
Step-by-step explanation:
4 in.
4 in.
What is the volume of this container?
1 in.
2 in.
4 in.
56 in²
64 ins
64 in²
56 ins
Answer:
64in
Step-by-step explanation:
for a four sided figure, you do base x height. volume isn't squared in Math.
How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and y > 2x + One-third?
Answer: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
Answer:
Step-by-step explanation:344x-5-p-0-9-but=pmc+m2 something like that
Please help! Problem is below! (25 points max!)
Replace x with -17 and solve:
7(-17) + 2 = -119 + 2 = -117
answer: -117
What is the simplified value of the expression below?
12.4 x (negative 6.3)
–78.12
–1.97
1.97
78.12
The simplified value of 12.4 x (negative 6.3) is -78.12
How to simplify the expression?The expression is given as:
12.4 x (negative 6.3)
Rewrite properly as:
12.4 x (-6.3)
Evaluate the product using a calculator
-78.12
Hence, the simplified value of 12.4 x (negative 6.3) is -78.12
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