Answer:
5Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the points (-3, 4) and (-5, -6) to the formula of a slope:
[tex]m=\dfrac{-6-4}{-5-(-3)}=\dfrac{-10}{-2}=5[/tex]
complete the square to solve the equation below. x^2+2x-9=15
Answer:
Step-by-step explanation:
x^2+2x-9=15
x^2+2x=24
x^2+2x+1=24+1
(because what you do to one side you do to the other) ^
(x+1)^2=25
(x+1)^2 -25=0
(25 is a perfect square)
(x+1-5)(x+1+5)
(x-4)(x+6)
x=4,-6
Answer: x=-6; x=4
Step-by-step explanation:
rewrite the function f(x)=x^2-6x-60 by completing the square
To rewrite f(x) = x^2 - 6x - 60 by completing the square, you add and subtract (6/2)^2 within the equation and refactor to get f(x) = (x - 3)^2 - 69, with the vertex at (3, -69).
To rewrite the function f(x) = x^2 - 6x - 60 by completing the square, follow these steps:
Write the equation in the form x^2 - bx = c.Find (b/2)^2, which is the number to be added to both sides to complete the square. For our equation, (6/2)^2 = 9.Add and subtract this number inside the equation. So you have: f(x) = x^2 - 6x + 9 - 9 - 60.Rewrite the quadratic part as a binomial square: f(x) = (x - 3)^2 - 69.The function is now in the completed square form. The vertex of this parabola is at (3, -69).
Which of the following illustrate the commutative property? Select all that apply
The expressions that illustrate the commutative property are: A, D, E, and F (see attachment below).
What is the Commutative Property?The commutative property states that the addition or multiplication of numbers will give the same product or sum even if the the order of arrangement is changed.Thus, for addition, the property applies thus: a + b = b + a.Thus, for multiplication, the property applies thus: ab = ba.The commutative property does not apply to division and subtraction.Therefore, the expressions that illustrate the commutative property are: A, D, E, and F (see attachment below).
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Determine the translation.
A translation by___ units to the (right/left) and ___ units (up/down)
it went to the right 4 units and up 2 units
If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are similar. True False
Answer:
True
Step-by-step explanation:
It was correct on my quiz
Could someone please help me
Answer:
c
Step-by-step explanation:
I think its c but I could be wrong
Which value is equivalent to x-7/7-x
Answer:
[tex]\large\boxed{\dfrac{7-x}{x-7}=-1}[/tex]
Step-by-step explanation:
[tex]\dfrac{7-x}{x-7}=\dfrac{-(x-7)}{x-7}\\\\\text{cancel}\ (x-t)\\\\\dfrac{7-x}{x-7}=\dfrac{-1}{1}\\\\\dfrac{7-x}{x-7}=-1[/tex]
Answer:
-1
Step-By Step:
The Answer on Ed
Evaluate 5x2−9 when x=−2
answer: 11
explanation: just plug in -2 for x. the new problem becomes 5(-2)^2 - 9. Negative two squared is 4. 5 times 4 is 20. 20 minus 9 is 11.
Final answer:
When evaluating the expression 5x^2 - 9 for x = -2, we substitute -2 into the expression and find that the value is 11.
Explanation:
To evaluate the expression 5x2 − 9 when x = −2, we first substitute the value of x into the expression and then perform the calculation:
5(−2)2 − 9
→ 5(4) − 9
→ 20 − 9
→ 11
Therefore, when x = −2, the value of the expression 5x2 − 9 is 11.
What are the solutions to the equation 3x-4y-8=12
Answer:
y= 3
--- X +1
4
Step-by-step explanation:
-4y=-3x-12+8
-4y=-3x+4
--- --- -
4 4 4
y= 3
--- X +1
4
15 A store manager receives a delivery
of 2 boxes of lightbulbs. Each box
contains 25 lightbulbs. The store
manager tests all the lightbulbs and
finds that 2 of them are defective.
Based on these results, what can
the store manager predict about the
next delivery of lightbulbs?
A A delivery of 3 boxes will contain
3 more defective lightbulbs than
a delivery of 2 boxes.
B A delivery of 4 boxes will contain
2 more defective lightbulbs than
a delivery of 2 boxes.
C A delivery of 5 boxes will contain
10 more defective lightbulbs than
a delivery of 2 boxes.
D
A delivery of 6 boxes will contain
3 more defective lightbulbs than
a delivery of 2 boxes.
Answer:
B
Step-by-step explanation:
For each box, there is 1 defective lightbulb. Therefore, a delivery of 4 boxes will have 4 defective lightbulbs. A delivery of 2 boxes has 2 defective lightbulbs. 4 defective lightbulbs subtracted by 2 defective lightbulbs equals 2 more defective lightbulbs in 4 boxes than 2. Therefore, it is B.
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3). A) y = − 1/5 x + 16/5 B) y = −5x − 5/16 C) y = 5x + 10 D) y = 1/5 x − 2
Answer:
A
Step-by-step explanation:
Parallel lines have the same slope. Find the slope by converting the equation x + 5y = 10 into y = mx+b form. It becomes y = -1/5x + 2. The slope is -1/5.
Substitute -1/5 and the point (1,3) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y - 3 = -\frac{1}{5}(x - 1)\\y - 3 = -\frac{1}{5}x + \frac{1}{5}\\y = -\frac{1}{5}x + \frac{16}{5}[/tex]
Answer:
It's aaaaaaaaaaaaaaaaaaaaaaa!!!
Step-by-step explanation:
A new record will be set if the temperature is less than –15°F. Which inequality shows the temperatures when a new record will be set?
A. t < –15
B. t > –15
C. t < 15
D. t > 15
Answer:
A. t < –15
Step-by-step explanation:
The temperature has to be less than -15
t < -15
determine the domain and range of the function f(×)=
[tex]2 \sqrt[3]{108} 2x[/tex]
Answer:
Simplifies to:
748.245949x
Sean uses the point (10, 8) to represent the location of his house and uses the point (1, 3) to represent the
location of the gym. Each unit on the graph represents 1 mi. How far is the gym from Sean’s house? Round to
the nearest tenth. Show your work.
Answer:
[tex]10.3\ mi[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]A(10,8)\\B(1,3)[/tex]
substitute the values
[tex]d=\sqrt{(3-8)^{2}+(1-10)^{2}}[/tex]
[tex]d=\sqrt{(-5)^{2}+(-9)^{2}}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
[tex]d=10.3\ mi[/tex]
Which equation is graphed here?
Answer:
y+4=-3/2(x-2) is the answer
Step-by-step explanation:
Again over here just use the y=mx+c
m which is the slope is change in y over change in x which in this case is [tex]\frac{-3}{2}[/tex] so which just that we can cross out the first option for the answer secondly to be able to find C just take literally any point from the graphed line, for instance we take (-2,2), just add it in the equation and solve for C
[tex]2=-\frac{3}{2}(-2)+c\\2=3+c\\0=3-2+c\\c=-1[/tex]
y=-3/2-1
Now all you have to see is which of the three equations is equivalent to the one we just found
y+4=-3/2(x-2) is the answer :)
There are 29 pencils in a basket. 7 of these pencils are green. The rest of them are yellow.
(A) what is the ratio of yellow pencinls to green pencils?
(b) what is the ratio of all pencils in the basket to yellow pencils
[tex]\huge\boxed{22:7}\ \huge\boxed{29:22}[/tex]
First, we need to find the number of yellow pencils in the basket. We'll represent the number of green pencils with [tex]g[/tex] and the number of yellow pencils with [tex]y[/tex].
[tex]\begin{aligned}7+y&=29&&\smash{\Big|}&&\text{Start with what we already know.}\\y&=22&&\smash{\Big|}&&\text{Subtract 7 from both sides.}\end{aligned}[/tex]
Our first ratio is [tex]y:g[/tex], or [tex]\boxed{22:7}[/tex].
The second ratio is [tex](g+y):y[/tex]:
[tex]\begin{aligned}(g+y)&:y\\(7+22)&:22\\29&:22\end{aligned}[/tex]
how many solutions can be found for the equation 4X equals 4X
ZERO
ONE
TWO
INFINITELY MANY
Answer: Simplifying
4x = 4x
Add '-4x' to each side of the equation.
4x + -4x = 4x + -4x
Combine like terms: 4x + -4x = 0
0 = 4x + -4x
Combine like terms: 4x + -4x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
HELP ASSAP WILL MARK BRAINIEST!!!!!!
Answer:
m= -5/4
Step-by-step explanation:
Slope can be translated to "rise over run". You go down 5 spaces and then move over 4 spaces.
factor please help 30z^2-53z+12
Answer:
(2z - 3)(15z - 4)
Step-by-step explanation:
To factor the quadratic
Consider the factors of the product of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term
product = 30 × 12 = 360 and sum = - 53
The factors are - 45 and - 8
Use these factors to split the z- term
30z² - 45z - 8z + 12 ( factor the first/second and third/fourth terms )
= 15z(2z - 3) - 4(2z - 3) ← factor out (2z - 3)
= (2z - 3)(15z - 4) ← in factored form
What is a-2÷5a+a+2÷5a
Answer:
=2a
Step-by-step explanation:
a-2/5a and a+2/5a cancel each other out and your left with a+a aka 2a
Twenty-five percent of 200 is what number?
Answer:
12.5
Step-by-step explanation:
25/200
Answer:
50
Step-by-step explanation:
0.25 x 200 = 50
Wyatt ate 1/12 of a banana. Shane ate 7/12 of a banana. How much more did Shane eat than Wyatt?
Answer:
7/12 - 1/12 = 6/12
Step-by-step explanation:
Answer:
The answer should be 6/12 or 1/2
need help with this
Answer:
x y
15 -1
12 0
9 1
6 2
3 3
0 4
Step-by-step explanation:
This is a function table. For a linear function, find the average rate of change between the listed points called slope. Then use the slope to fill in other inputs and outputs for the function.
[tex]m = \frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0-12} =\frac{4}{-12} =- \frac{1}{3}[/tex]
This means for every 3 units made in the input, the function moves down 1 output.
x y
15 -1
12 0
9 1
6 2
3 3
0 4
What is the product ?
(4y-3)(2y^2+3y-5)
Answer:
8y^3 + 6y^2 - 29y + 15
Step-by-step explanation:
8y^3 + 12y^2 - 20y - 6y^2 - 9y + 15
then
8y^3 + 6y^2 - 29y + 15 is the product
Best regards
Answer:
=8y^3+6y^2−29y+15
Step-by-step explanation:
(4y−3)(2y^2+3y−5)
=(4y+−3)(2y^2+3y+−5)
=(4y)(2y^2)+(4y)(3y)+(4y)(−5)+(−3)(2y^2)+(−3)(3y)+(−3)(−5)
=8y^3+12y^2−20^y−6y^2−9y+15
=8y^3+6y^2−29y+15
A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft. Which expression represents the possible values of n, in feet? Express your answer in simplest terms. x – 1 < n < 3x + 5 n = 3x + 5 n = x – 1 3x + 5 < n < x – 1
Answer:
[tex]x-1<n<3x+5.[/tex]
Step-by-step explanation:
If a, b and c are the lengths of the triangle's sides, then
[tex]a+b>c,\\ \\a+c>b,\\ \\b+c>a.[/tex]
Since
[tex]a=2x+2,\\ \\b=x+3,\\ \\z=n,[/tex]
then
[tex]2x+2+x+3>n\Rightarrow n<3x+5,\\ \\2x+2+n>x+3\Rightarrow n>1-x,\\ \\x+3+n>2x+2\Rightarrow n>x-1.[/tex]
Thus,
[tex]x-1<n<3x+5.[/tex]
Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is A, 3x + 5 > n > x - 1.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b) > c
(b+c) > a
(c+a) > b
Given the three sides of the triangle 2x + 2 ft, x + 3 ft, and n ft. Now using the triangle inequality theorem we can write,
2x + 2 + x + 3 > n → 3x + 5 > n
2x + 2 + n > x + 3 → n > -x + 1
x + 3 + n > 2x + 2 → n > x - 1
Since x can not be a negative term therefore, we can write,
3x + 5 > n > x - 1
Hence, the correct option is A, 3x + 5 > n > x - 1.
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If the greatest value of n is 8, which inequality best shows all the possible values of n? (5 points) n < 8 n ≤ 8 n > 8 n ≥ 8
A system of equations is shown. 2x + 2y = 17 4x - y = 25 what is the x-value of the solution to the system of equations
Answer:
x=6.7
Step-by-step explanation:
What you have to do is you have to eliminate y. So you need to make y cancel each other out.
2x+2y=17. I can multiply 2 to the second equation to cancel the y's out.
8x-2y=50.
10x=67.
x=67/10 or 6.7.
The value of x for the system of equations will be x=6.7.
What is a system of equations?A set of simultaneous equations is a finite set of equations for which common solutions are sought in mathematics. It is also known as a system of equations or an equation system.
Given that the two equations are 2x + 2y = 17 and 4x - y = 25. The value of x will be calculated by eliminating the variable y from the equation.
Multiply the second equation by 2 and subtract from the first equation,
2x+2y=17.
8x-2y=50.
10x=67.
x= 67/10
x = 6.7.
Therefore, the value of x for the system of equations will be x=6.7.
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What is the least common multiple of 14 and 4
Answer:
28
Step-by-step explanation:
It is often convenient to compute the Least Common Multiple (LCM) as the product of the numbers divided by their greatest common factor. In this case, that would be ...
LCM = (14 × 4)/2 = 28
___
As a check, you can do it by looking at the prime factors of these numbers. The LCM will be the product of the unique factors to their highest powers.
14 = 2·7
4 = 2^2
Unique factors are 2 and 7. The highest power of 2 is 2; the highest power of 7 is 1.
LCM = 2^2·7 = 28
Start by setting up a factor tree for 4 and 14.
4 factors as 2 · 2 and 14 factors as 7 · 2.
When finding the least common multiple, we're looking for factors that match up and here we have a pair of 2's that matches up.
So our least common multiple is 2 from the 2's that match up × the the 2 that doesn't match up x the 7 from the 7 that doesn't match up.
So we have 2 × 2 × 7 or 4 × 7 which is 28.
On my whiteboard, I have attached my factor tree.
In a classroom,
3
-
10
of the students are wearing blue shirts , and
3
-
5
are wearing white shirts. There are 30 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts?
Answer:
i did this question b4 but completely forgot the answer ://
Step-by-step explanation:
choose the system of inequalities that best matches the graph below.
a) y<2x+2, y<x
b) y<2x, y<_x
c) y<_x-2, y>-x
D) y<2x+2, y> -x
Answer:
D) [tex]y\:<\:2x+2[/tex], [tex]y\:>\:-x[/tex]
Step-by-step explanation:
The blue boundary line has a y-intercept of 2 and a slope of 2.
It has equation : [tex]y=2x+2[/tex]
Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is
[tex]y\:<\:2x+2[/tex]
The blue boundary line passes through the origin and has slope [tex]-1[/tex].
Its equation is [tex]y=-x.[/tex]
Since the boundary line is not solid and the right half-plane is shaded, its inequality is [tex]y\:>\:-x[/tex]
The correct choice is D.
The correct choice is D: y < 2x + 2, y > -x.
The blue boundary line is represented by the equation y = 2x + 2.
Since the lower half-plane is shaded, the inequality is y < 2x + 2.
The blue boundary line also passes through the origin and has a slope of -1, which gives it the equation y = -x.
Since the right half-plane is shaded, the inequality is y > -x.
So, the correct choice is D: y < 2x + 2, y > -x.
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