The correct pairs of equivalent expressions are given below.
We have given that,
(5 + 2b)+(2b + 3/2)
(-14 + 3/2b)-(1 + 8/2b)
(-10 + b)+(7b -5)
(7/2b - 3)-(8 + 6b)
We have to determine the equivalent expression
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
(5 + 2b)+(2b + 3/2) <--> 4b + 13/2
(-10 + b)+(7b - 5) <---> 8b - 15
(-14 + 3/2b)-(1 + 8/2b) <----> -15 - 5/2b
(7/2b - 3)-(8 + 6b) <-----> -5/2b - 11
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Help If anyones awake
Last option is the correct answer
Answer:
ASA Postulate
Step-by-step explanation:
[tex] In\: \triangle TKS\: \& \: \triangle TLR\\
\angle 1 \cong \angle 2....(given) \\
TK \cong TL... (given) \\
\angle 3 \cong \angle 4....(given) \\
\therefore \triangle TKS\: \cong \: \triangle TLR.. (ASA \: Postulate) \\[/tex]
Answer:
First option is the correct choice.
Step-by-step explanation:
AAS theorem applies here to prove the claim.
Best Regards!
The solutions of a quadratic equation are - 1,3. Write a related quadratic function in factored form.
Answer:
(x+1)(x-3)
Step-by-step explanation:
We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.
Answer:
(x+1) (x-3)
Step-by-step explanation:
(x+1)=0
x=-1
(x-3)=0
x=3
solutions are (-1, 3) we put -1 first because x always comes before Y value.
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Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15%
and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
OA. 135 square feet
OB. 125 square feet
OC. 127 square feet
OD. 133 square feet
Answer:
127
Step-by-step explanation
Lizbeth has 38 coins consisting of nickels, dimes, and quarters. The total value of the coins is $6.40. The number of quarters if three more than three times the number of dimes. How many of each type of coin does Lizbeth have? PLEASE EASY 25 POINTS.
Answer:
21 quarters, 6 dimes, and 11 nickels
Step-by-step explanation:
# of Quarters = x.
# of Dimes = y.
# of Nickels = z.
(i)x = 3y+3.
(ii) 0.25x + 0.1y + 0.05z = 6.4
(iii) x + y + z = 38.
Multiplying (iii) by -0.05, and adding it to (ii),
we then get:
0.2x + 0.05y = 4.5.
Now plug in (i) into this.
0.65y + 0.6 = 4.5.
0.65y = 3.9
y = 6.
Since y = 6, we can subsitute this into our equation.
0.2x + 0.3 = 4.5
0.2x = 4.2
x = 21.
Since x = 21, y =6, then z = 11.
HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!
Answer:
The value of x is -2√2 or 2√2.
Step-by-step explanation:
Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :
[tex]y = \frac{k}{ {x}^{2} } [/tex]
[tex]let \: x = 7 \\ let \: y = 3[/tex]
[tex]3 = \frac{k}{ {7}^{2} } [/tex]
[tex]3 = \frac{k}{49} [/tex]
[tex]3 \times 49 = k[/tex]
[tex]k = 147[/tex]
[tex]y = \frac{147}{ {x}^{2} } [/tex]
Next, you have to substitute the y value into the equation to find x :
[tex]let \: y = 18.375[/tex]
[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]
[tex]18.375 {x}^{2} = 147[/tex]
[tex] {x}^{2} = \frac{147}{18.375} [/tex]
[tex] {x}^{2} = 8[/tex]
[tex]x = ± \sqrt{8} [/tex]
[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]
what is( 7^4 * 9^-3 +7^5 * 9^-4) / 7^4 * 9^-4
Answer:
3.7168917E-7
Step-by-step explanation:
Answer:
3.7168917E-7
Step-by-step explanation:
Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)
Use the term 3xy + 2 to answer the following questions.
Answer:
5. 2 terms; 3xy, 2
6. 3
7. 0, can't be factored
Step-by-step explanation:
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3
Answer: [tex]y \leq \frac{1}{2} x+3[/tex]
Step-by-step explanation:
If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.
First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.
You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.
3 - 1 = 2
0 - (-4) = 4
2/4 = 1/2
The new equation is:
[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]
Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]
Answer:
B
Step-by-step explanation:
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Answer:
Equation of a line y = mx + c
m = slope
m = 2
Using point ( -4,3)
Equation of the line is
y - 3 = 2(x +4)
y - 3 = 2x + 8
y = 2x + 8 + 3
y = 2x + 11
Hope this helps.
Answer:
B. Y = 2x + 11
Step-by-step explanation:
Got it right on edg.
3 quarts but in cups
Answer:
12 cups
Step-by-step explanation:
there are 4 cups in 1 quart. You multiply both of them by 3 so there are 12 cups in 3 quarts
Answer:
12 cups
Step-by-step explanation:
1 quart = 4 cups
4*3 = 12
12 cups
brainliest??
Identify the equation that translates y = l n (x) five units down. y = l n (x minus 5) y = l n (x) + 5 y = l n (x + 5) y = l n (x) minus 5
Answer:
y=ln(x) minus five
Step-by-step explanation:
y=ln(x) five units down
Five units down could mean minus five(-5)
The expression can be written as
y=ln(x)-5
That is,
y=ln(x) minus five
The equation that translates y = ln(x) 5 units down is y' = ln(x) - 5
How to determine the equation?The function is given as:
y = ln(x)
When translated down by 5 units, the rule of translation is:
(x, y) => (x, y - 5)
So, we have:
y' = ln(x) - 5
Hence, the equation that translates y = ln(x) 5 units down is y' = ln(x) - 5
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Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.
Answer:
3234
4312
5390
Step-by-step explanation:
3x +4x + 5x = 12936
12x = 12936
Which is the graph of the function f(x) = -√x
Answer:
1st Graph
Step-by-step explanation:
Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27
Answer:
a: -3n+1
b:-5n-2
Step-by-step explanation:
a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)
b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.
Hope this helps :),
Lily
What is the product of 6x – y and 2x – y + 2?
Answer:
12x^2 - 8xy + y^2 + 12x - 2y
Step-by-step explanation:
Which ordered pair is a solution of the equation y-4=7(x-6)
Only (5,4)
Only (6,5)
Both
Neither
Answer:
first we will check if the coordinate (5,4) is a solution:
you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:
y-4 = 7(5-6)
now we have to work this out like:
y-4 = 7 • -1
y -4 = -7
y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.
the same goes for coordinate (6,5):
y-4 = 7 (6-6)
y-4 = 0
y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.
so the answer is neither
Answer:
Neither
Step-by-step explanation:
Simplify the given equation.
y - 4 = 7(x - 6)
y - 4 = 7x - 42
y = 7x - 38
Now, take the point (5, 4) and test to see if this is a solution.
y = 7x - 38
4 = 7(5) - 38
4 = 35 - 38
4 ≠ -3
Since that point did not prove to be true, answer choices A and C are cancelled out. Take point (6, 5) and test it.
y = 7x - 38
5 = 7(6) - 38
5 = 42 - 38
5 ≠ 4
Neither points provide a solution so D is the answer.
Find the perimeter of the figure?
Answer:
36
Step-by-step explanation:
9+9+9+9=36
Answer: 36 cm
Step-by-step explanation:
The perimeter is the sum of all side lengths of the figure. Since this is a square, all sides have the same length.
9 * 4 = 36
PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.
y 2x + 2
y 2x + 1
y < 2x
y 2
Answer:
the correct one is y < 2x
Step-by-step explanation:
Answer:
y 2x + 1 or B
Step-by-step explanation:
thats whats right on edge
kissa brought an item at Tsh 250,000/= she sold it by a certain price and got loss of 1/4 of the buying price. find the percentage loss.
Answer:
Loss %age = 25%
Step-by-step explanation:
Cost Price of Item = 250,000/-
Loss = 1/4 = 0.25 of 250,000
=> 62,500 /-
%age Loss = [tex]Loss*100/Cost Price[/tex]
=> 62,500 * 100 / 250,000
=> 6,250,000/250,000
=> 25 %
Una casa de ropa tiene todos sus artículos en liquidación por cambio de temporada. El cartel de la puerta dice: 20% de descuento. Cuánto tendrá que pagar una persona que gastó $3500? Y alguien que gastó $8000
Answer:
$2,800 and $6,400
Step-by-step explanation:
Aquí, sabemos que hay un 20% de descuento en compras.
Entonces, para una persona que compró cosas por valor de $ 3,500, el monto que debe pagar será; 20/100 * 3500 = $ 700
Entonces, la cantidad a pagar = 3500-700 = $ 2,800
Para la persona que compró $ 8000, monto a pagar = 20/100 * 8,000 = $ 1,600
Cantidad a pagar = 8000-1600 = 6400
On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?
Answer:
Christian made $191.25 and Kenneth made $127.50 each.
Step-by-step explanation:
With each dog, you multiply how many dogs with the amount of cash they get each dog.
Christian: 15x12.75= $191.25
Kenneth: 10x12.75= $127.50
So you just multiply the amount of dogs with money :)
Find the sum (the question is in the photo)
x3+3x2−4
________
9x4−12x2
Algebra isn't fun. Hope that helps though!
Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2
Answer:
D
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
4 + 6 > 9
Yes, these lengths can form a triangle.
3 + 4 > 2
Yes, these lengths can form a triangle.
2 + 2 > 3
Yes, these lengths can form a triangle.
1 + 1 = 2
No, these lengths cannot form a triangle.
Answer:
D
Step-by-step explanation:
the formula is
a + b > c
a+ c > b
b+ c > a
The answer is D because
given lenght(D answer) A=1 , B=1, C=2
Thus, follow the formula.
a+b>c
1+1>2 ❌
a+c>b
1+2>1 ✅
b+c>a
1+2>1 ✅
we know that a+b>c is wrong, so, it cant form a triangle
Find the sum of 9c3d, 6c3d, and -7c2d2.
Answer 15c3d−7c2d2
Step-by-step explanation:
Graph the solution set for the inequality
y > 2x - 5 by following these steps:
Step 1: Identify the slope and y-intercept.
slope = y-intercept =
-4
Answer:
Salutations!
The slope is (2)
And the y-intercept is (-5)
Hope you're having a good day, and may god bless :)
Slope of the given inequality is 2 and the y-intercept of the given inequality is (0, - 5).
What is an inequality?"An inequality is the relationship between two values that are not equal is defined by inequalities. Inequality means not equal."
The given inequality is:
y > 2x - 5
By plotting this inequality, we get:
Slope of the given inequality is 2.
The y-intercept of the given inequality is (0, - 5)
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Given the diagram below, what is cos(45") ?
A. 22
B.
C.
V2
D. 4,2
What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0
Answer:
6, 10, 8
Step-by-step explanation:
aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4
a₅= -2
a₆= 0
-----------
aₙ₋₂= aₙ₋₁ - aₙ + 4
a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6The first 3 terms: 6, 10 and 8
Which point is in Quadrant IV?
Answer:
1,1 or -1,3
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
bottom right quadrant is IV
Evaluate (a + b)2 for a = 2 and b = 3.
10
25
13
Answer:
10
Step-by-step explanation:
( 2 + 3 ) × 2
5 × 2 = 10
Answer:
10
Step-by-step explanation:
(a+b)2
(2+3)2
5(2)
10