[tex]\bf 2y=-6x+8\implies y=\cfrac{-6x+8}{2}\implies y=\cfrac{-6x}{2}+\cfrac{8}{2} \\\\\\ y=-3x+4\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-3\implies -\cfrac{3}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{1}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{3}\implies \cfrac{1}{3}}}[/tex]
An 8 inch by 6 inch rectangle is the base of the rectangular prism below. What is the lateral area of the figure? 140 square inches 140 inches 236 square inches 236 inches
Answer:
140 square inches
Step-by-step explanation:
An 8 inch by 6 inch rectangle would have a lateral area of 140 square inches.
A rectangle is the shape with parallel opposite sides, combined with the all 90 degree angles. As the type of parallelogram, it has opposite parallel sides. In the rectangle, 1 set of parallel sides is longer than the other, making it look like the elongated square.
Given that,
dimensions of the base is 8 inch by 6 inch and height is 5 inch. That means,
L=8,w=6,h=5
8+8+6+6=28,
then you multiply it by the height so it would be 28x5=140
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what is the complete factor of 12Xsquared + 28X
Answer:
12x^2 + 28x = 0
3x^2 + 7x = 0
x(3x+7)=0
x=0 or
3x+7=0
3x= - 7
x= - 7/3
Answer:
4x(3x + 7)
Step-by-step explanation:
Given
12x² + 28x ← factor out 4x from each term
= 4x(3x + 7) ← in factored form
Sam solved the system of equations below and found that x= 4. Which
ordered pair is the solution to the system?
2x+4y=36
6x+2y=38
Answer:
The ordered pair for the system of equations is (x,y) i.e (4,7)
Step-by-step explanation:
Ordered pair is the represented as (x,y) i.e value of x and value of y.
We are given system of equations:
2x+4y=36 eq(1)
6x+2y=38 eq(2)
and after solving above equations value of x is found to be 4.
We need to find the value of y.
We can find value of y by putting value of x in eq(1)
2x+4y=36
2(4)+4y =36
8+4y = 36
4y = 36-8
4y = 28
y = 7
So, value of y is 7
The ordered pair for the system of equations is (x,y) i.e (4,7)
Answer:
The ordered pair is: (4, 7)
Step-by-step explanation:
We have the following system of equations
[tex]2x+4y=36[/tex]
[tex]6x+2y=38[/tex]
To find the ordered pair that represents the solution to the system of equations we need the value of x and the value of y.
We already know that x = 4.
Then we substitute the value of x in any of the two system equations and solve for the variable y.
[tex]2(4)+4y=36\\\\8 + 4y=36\\\\4y=36-8\\\\4y=28\\\\y=\frac{28}{4}\\\\y=7[/tex]
The ordered pair is: (4, 7)
what is the explicit formula for the sequence -9,-3,3,9,15
Answer:
B
Step-by-step explanation:
The difference between each term is six and the numbers are increasing so the only one that is in the correct format, which is an = a1 + (n-1)d, is B
please give Brainliest
The explicit formula for the sequence -9,-3,3,9,15 is [tex]a_n[/tex] =-9+(n-1)6.
The correct option is (C).
What is explicit formula?The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence.
Given sequence: -9,-3,3,9,15
As, the given sequence is arithmetic sequence.
So, the difference between two consecutive term is same.
i.e., (-3)-(-9)= -6, 3-(-3)= 6, and so on.
Now, the nth term is = a+(n-1)d
as, a=-9
So, [tex]a_n[/tex]= -9+(n-1)6
= -9+6n-6
= 6n-15
Hence, [tex]a_n[/tex] =-9+(n-1)6.
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PLZ HELP 25 POINTS
No Dumb Answers and Please tell me how u got the answer
How could the relationship of the data be classified?
scatter plot with points loosely scattered going down to the right
A positive correlation
A causation
A negative correlation
No correlation
Answer:
Negative Correlation
Explanation:
As the points progress by + x, the general pattern is to decrease in y.
Slope = m = rise/run = x/y
+x/-y = x/-y = -x/y. Negative correlation
Combine like terms.
48y + 21y = ??
Hello There!
We’re just using addition for this.
Image Attached below.
69y is your Answer
How to rationalize the denominator of sqrt(a)/sqrt(a)-2
Step-by-step explanation:
√a / (√a - 2)
To rationalize the denominator, you need to multiply the fraction by the conjugate:
√a / (√a - 2) × (√a + 2) / (√a + 2)
√a (√a + 2) / ((√a - 2) (√a + 2))
(a + 2√a) / (a - 4)
which should I choose
write the equation in logarithmic form 8^x=64
Step-by-step explanation:
8^x= 64
8²= 64
In logarithmic form,
log(base 8) 64= 2
The equation 8ˣ=64 in logarithmic form is written as log8(64) = x, where x is the exponent to which the base 8 is raised to obtain 64.
The equation 8ˣ=64 in logarithmic form, you have to understand the relationship between exponentials and logarithms. The logarithmic form of the equation is logb(a) = c, which means b to the power of c equals a. Given that 8 squared (8²) equals 64, you can express 8^x=64 as log8(64) = x, which is the logarithmic form of the given exponential equation.
What is the degree of polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2
Answer:
5
Step-by-step explanation:
Find the degree of each monomial term of the polynomial. The highest degree is the answer.
deg(3x^4)=4
deg(-4x^3y)=3+1=4
deg(6x^2y^2)=2+2=4
deg(-8x^2y^3)=2+3=5
deg(-7y^4)=4
deg(2)=0
The highest degree there is 5 so that is the degree of the polynomial.
The degree of a polynomial is the highest power of any variable in that polynomial. For the polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, because the highest power is 4, the degree of the polynomial is 4.
Explanation:The highest exponent of the variable in a polynomial determines its degree. In the provided polynomial, 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, the degree of this polynomial is 4 because the highest power of the variable is 4. which can be seen in the terms 3x⁴ and -7y⁴.
It's important to note that while determining the degree of a polynomial, we consider the power (or degree) of individual terms and not their combined power. For example, in the term -4x³y, x has a degree of 3 and y has a degree of 1. The degree of -4x³y will still just be 3 (and not 4) as we only consider the highest degree within that term.
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Julia is evaluating the expression 17(144). If she uses the distributive property to rewrite the expression with friendlier numbers, which expression can be a step in her work?
Answer:
In order to evaluate the given expression 17(144) using the distributive property, Julia would rewrite the expression in friendlier numbers that is:
(10+7)(100+40+4)
Step-by-step explanation:
We are given an expression 17(144) that we have to evaluate let us say without using the calculator.
Sometimes, it is easier to solve a complex problem in multiple steps as the problem gets distributed and the difficulty level lowers for multiple smaller sets.
Julia would rewrite the expression as:
(10+7)(100+40+4)
Then solve it using distribution method as follows:
10(100+40+4)+7(100+40+4)
1000+400+40+700+280+28
= 2448
The answer to this question is C. 17(100)+17(40)+17(4)
The way i got this answer was that i actually have done this question on a test and Was able to get it for you.
Find the surface area of the figure shown.
134 ft 2
166 ft2
184 ft2
208 ft2
Answer:
184 ft
Step-by-step explanation:
explanation in the photo
SA = (0.5 x 2 x 6 x 4) + (2 x 10 x 5) + (6 x 10)
SA = 24 + 100 + 60
SA = 184
The answer is 184 ft².
The function f(x) = (x − 4)(x − 2) is shown. What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all real numbers greater than or equal to −1
Answer:
all real numbers greater than or equal to -1
Step-by-step explanation:
i j took the test trust me
The range of the function f(x) = (x − 4)(x − 2) is all real numbers greater than or equal to −1 .
What is range of the function?The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}
According to the question
The function f(x) = (x − 4)(x − 2)
now, we multiply both braces
f(x) = x² - 6x + 8
Now we will plot the graph to check for lowest point
x f(x)
0 8
-1 15
1 3
2 0
-2 24
As per graph at x = 3 f(x) is minimum = -1
Therefore ,
Range = [-1,∞)
Hence, the range of the function f(x) = (x − 4)(x − 2) is all real numbers greater than or equal to −1 .
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y=1/4x+7 y=1/2x+5 The y-coordinate of the solution to the system shown is _____.
Answer:
The y-coordinate of the solution to the system shown is 9
Step-by-step explanation:
[tex]y=\frac{1}{4}x+7\\y=\frac{1}{2}x+5[/tex]
We need to solve these system of equations and find value of y
Let eq (1) be[tex]y=\frac{1}{4}x+7[/tex]
and eq(2) be [tex]y=\frac{1}{2}x+5[/tex]
Putting value of y from eq(2) into eq(1)
[tex]y=\frac{1}{2}x+5=\frac{1}{4}x+7\\\\\frac{1}{2}x-\frac{1}{4}x=7-5\\\frac{2x-x}{4}=2\\\frac{x}{4}=2\\x=2*4\\x=8[/tex]
Putting value of x=8 in equation 1 to find value of y
[tex]y = \frac{1}{4}x+7[/tex]
[tex]y = \frac{1}{4}(8)+7[/tex]
[tex]y =2+7[/tex]
[tex]y =9[/tex]
So, The y-coordinate of the solution to the system shown is 9
amon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=3(4)^{x}[/tex]
This is a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
Remember that
The initial value is the value of the function when the value of x is equal to zero (y-intercept of the function)
In this problem
The y-intercept is the point (0,3)
therefore
using a graphing tool
The initial step is plot the point (0,3)
see the attached figure
Just number 16 and please explain it
Answer:
There's no solution to this system equation because they are parallel to each other. The solution of system equation is where they intersection with each other.
Step-by-step explanation:
The x-intercept of the line whose equation is x - y = 3 is
-3
0
3
[tex]\textbf{Answer:}[/tex]
[tex]3[/tex]
[tex]\textbf{Step-by-step explanation:}[/tex]
[tex]\textrm{The x int. can be determined when y is equal to zero.}[/tex]
[tex]x - 0=3\\ x = 3[/tex]
Answer:
3
Step-by-step explanation:
x-y =3
To find the x intercept, set y=0
x-0 =3
x=3
What Expression is equivalent to 4/5 divided by 8?
1: 8/10 divided by 8?
2: 8/5 divided by 4?
3: 5/4 Multiplied by 8?
4: 4/5 multiplied by 8?
Please answer quickly, I am timed on this!
Answer:
4/5 divided by 8 = 4/(5*8) = 1/10
1: 8/10 divided by 8 = 8/(10*8) = 1/10
2: 8/5 divided by 4 = 8/(5*4) = 4/10
3: 5/4 multiplied by 8 = (5*8)/4 = 100/10
4: 4/5 multiplied by 8 = (4*8)/5 = 64/10
So the answer is 1.
Step-by-step explanation:
To find the expression equivalent to 4/5 divided by 8, you should perform the calculations. Only the expression 8/10 divided by 8 equates to the same value as the original expression.
Explanation:Firstly, let's calculate your original expression 4/5 divided by 8. Given expression turns into 4/5 * 1/8 = 4/40 = 1/10. Now, let's examine the proposed equivalent expressions:
8/10 divided by 8: This equals to 8/10 * 1/8 = 8/80 = 1/10. This expression is equivalent to the original. 8/5 divided by 4: This equals to 8/5 * 1/4 = 8/20 = 2/5. This expression is not equivalent to the original. 5/4 multiplied by 8: This equals 40/4 = 10. This expression is not equivalent to the original. 4/5 multiplied by 8: This equals 32/5 = 6.4. This expression is not equivalent to the original. Learn more about Equivalent Expressions here:
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What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36? (−4, 0) and (9, 0) (4, 0) and (−9, 0) (−3, 0) and (12, 0) (3, 0) and (−12, 0)
Answer:
(4,0) & (-9,0)
Step-by-step explanation:
Line d is parallel to line c in the figure below. Which statements about the figure are true? Select three options.
Answer:
Statements 2, 3 and 4 are true.
Step-by-step explanation:
2. < 1 and < 4 are alternate interior angles.
3. < 3 and < 6 are vertical angles.
4. There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).
Line d is parallel to line c in the figure. The Statements 2, 3 and 4 are true.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
Line d is parallel to line c in the figure.
The statements which are true are;
2. Angle 1 and Angle 4 are alternate interior angles.
3. Angle 3 and Angle 6 are vertical angles.
4. There are 2 sets of alternate angles so the triangles are similar.
(Angle 1 and Angle 4, and Angle 2 and Angle 5).
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Find all the values of x that make 0.1x + 0.25(102 - x) < 17.10 true.
Answer:
x > 560
Step-by-step explanation:
0.1x + 0.25(102 - x) < 17.10
simplify
0.1x + 25.5 - 0.25x < 17.10
subtract 25.5 from both sides
0.1x + 25.5 - 25.5 - 0.25x < 17.10 - 25.5
0.1x - 0.25x < - 84
- 0.15x < - 84
divide both sides by - 0.15
x < -84/-0.15 = 560
When you divide or multiply by a negative, the sign changes
x > 560
Hope this helps!
Please mark as brainliest.
To solve the inequality 0.1x + 0.25(102 - x) < 17.10, distribute, combine like terms, and isolate x to find that the values for x that make the inequality true are x > 56.
Explanation:To find the values of x that make the inequality 0.1x + 0.25(102 - x) < 17.10 true, we need to solve the inequality. First, we distribute 0.25 to get 0.1x + 25.5 - 0.25x < 17.10. Then, combining like terms gives -0.15x + 25.5 < 17.10. Next, we subtract 25.5 from both sides to get -0.15x < -8.4. Finally, dividing both sides by -0.15 gives x > 56.
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PLEASE HELP 10 POINTS
Answer:
7/24
Step-by-step explanation:
7th grade
Boys = 5
Total Students = 5boys + 5 girls = 10 students
Probability of picking a random boy
= 5 boys out of 10 students
= 5/10
8th grade
Boys = 7
Total Students = 7 boys + 5 girls = 12 students
Probability of picking a random boy
= 7 boys out of 12 students
= 7/12
Probability of picking 2 boys
= [tex]\frac{5}{10}[/tex] x [tex]\frac{7}{12}[/tex]
= [tex]\frac{7}{24}[/tex]
Please help me! I don’t understand. Find the area
Answer:
596.8 ft^2
Step-by-step explanation:
Answer:
596.8 feet^2
Step-by-step explanation:
The m < C = 180 - 2*38.5 = 103 degrees ( because the triangle is isosceles).
Use the formula: Area of a triangle = 1/2 ab sinC:
Area = 1/2 * 35 * 35 * sin 103
= 596.8 feet^2.
63:1 odds pays out how if you bet $25?
Answer:
$1575
Step-by-step explanation:
If I bet $25 (And I win, of course!), I will win:
If I win $63 per every $1 bet, then:
63/1 = x/25 ⇒ Solving for 'x':
63*25 = $1575
Finally, if you bet $25 you will win $1575!
Which is a correct expansion of (3x + 2)(3x^2 +4)
Answer:
The answer is: 3x·3x^2+3x·4+2·3x^2+2·4 APEX
Step-by-step explanation:
Answer:
6x + 3x^2 +4
Step-by-step explanation:
Your wanting like terms/linear equations? If so then:
(3x+2) (3x^2 + 4) =
3x + 3x^2 + 3x + 4, Like terms
6x + 3x^2 +4 is your answer.
Hope my answer has helped you!
Jack is driving from his house to the airport. At 9:00 AM, he is 150 miles from the airport. At 10:30 AM, he is 75 miles from the airport. What is Jack’s average driving speed between 9:00 AM and 10:30 AM?
______ miles/hour
Answer:
I b3live it is 50 miles/hour
Step-by-step explanation:
We need to know how many miles he drove from 9:00 to 10:30 so you do 150-75 which is 75. Then, you do 75÷1.5 because 9:00 and 10:30 are an hour and a half apart and then you get 50 mph.
Find the area of the shaded region in the polygon below.
Answer:
35
Step-by-step explanation:
I multiply 3 and 7 that give 35
Answer:
Step-by-step explanation:
The area of a pentagon given the radius is
Area = (5/2)r^2 * sin(72º)
r = 7
Area = (5/2)*7^2 * sin(72)
Area = 122.5 * 0.95106
Area = 116.5
=============
r = 5
Area = (5/2) * 5^2 * sin(72)
Area = 59.4
Area of the shaded area = 116.5 - 59.4
Area of the shaded area = 57.1
what is the average rate of change for this quadratic function for the interval from x = -5 to x-= -3
Answer:
[f(-5)-f(-3)]/[-2]
Step-by-step explanation:
I don't know your quadratic but all you need to do evaluate
[f(-5)-f(-3)] divided by [-5-(-3)]
simplifying the denominator:
[f(-5)-f(-3)] divided by -2
So you need to find f(-5), this means replace x with -5
f(-3) means to replace x with -3
After you find those two answers subtract what you got for the pluggin in of -3 from the pluggin in of -5
After that subtraction divide by -2
12. A bridge is 1,595 feet long. Each cable holding up the
bridge is 1,983 feet longer than the bridge itself. How
long is each cable?
Answer:
3,578
Step-by-step explanation:
Add the two values together. If the bridge is 1,595 feet long, and if each cable holding that is 1,983 feet longer than the length of the bridge then adding them together is the way to go.
1,595+1,983=3,578
To get the length of each cable, you add the length of the bridge (1,595 feet) to the extra length of each cable (1,983 feet), which results in 3,578 feet.
Explanation:The problem is asking us to work with addition. The bridge is 1,595 feet long and each cable is 1,983 feet longer than the bridge. To find the length of each cable, we add the length of bridge and the extra length of the cable. That is, we add 1,595 feet (length of bridge) to 1,983 feet (extra length of cable).
Add 1,595 and 1,983. The result is the length of each cable, which equals 3,578 feet.Learn more about Addition here:
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What is the gcf of 45 and 9?
Answer:
9
Step-by-step explanation:
The factors of 9 are: 1, 3, 9
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 9.
The GCF of 45 and 9 is 9.
To find the greatest common factor we need to prime factorize 9 and 45 and then find the product of the factors common between the two. This can be represented mathematically as follows:
[tex]45 = 3 \times 3 \times 5\\9 = 3 \times 3[/tex]
Thus we can see that two pair of 3 are common factors between 9 and 45. Thus the GCF [tex]= 3 \times 3 = 9[/tex]
Therefore, the GCF of 45 and 9 is 9.