Answer:
4x² - 8x - 60
Step-by-step explanation:
Given :-
(2x - 10 )(2x + 6)Simplify ,
2x ( 2x + 6) -10(2x +6) 4x² + 12x - 20x -60 4x² -8x -60Trinomial expression :-
4x² - 8x - 60The polynomial function [tex](2x-10)(2x+6)[/tex] expressed as a trinomial is [tex]4x^2 - 8x - 60[/tex].
Given data:
The polynomial function is represented as A.
Now, the value of [tex]A=(2x-10)(2x+6)[/tex].
On simplifying the equation:
From distributive property to multiply the terms:
[tex]A=2x * 2x + 2x * 6 - 10 * 2x - 10 * 6[/tex]
[tex]A=4x^2 + 12x - 20x - 60[/tex]
On simplifying the equation:
[tex]A=4x^2 - 8x - 60[/tex]
Hence, the trinomial is [tex]4x^2 - 8x - 60[/tex].
To learn more about polynomial equations, refer:
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Two cars started from the same place at the same time but travelled in opposite directions. After 9 hours they were 910 kilometers apart. If the speed of one car is 10 kilometers per hour slower than the other what were their speedss per hour
Answer:
Step-by-step explanation:
To make this easier we are going to make a table and fill it in with the pertinent information. That's the first step; the second one is figuring out how to use the information in the table to come to some sort of a viable and reasonable (and hopefully correct) answer. The table will look like this:
d = r * t
Car 1
Car 2
What we know first off is that the time in question, the IMPORTANT time is 9 hours. That they left at the same time doesn't give us any numbers to put into our table or any useful information. We are looking at what happens at 9 hours. So that's what goes into the t column:
d = r * t
Car 1 9
Car 2 9
What we are then told is that after this 9 hours they are a certain distance apart. We'll come back to that. One car is traveling 10 km/h slower than the other, but since we don't know what the rate of the other car is either, they are both unknown. And it just so happens that this the information we are asked to solve for.
d = r * t
Car 1 r * 9
Car 2 r - 10 * 9
Now, since d = rt, we multiply the rate times the time and fill in the distance each has gone in 9 hours:
d = r * t
Car 1 9r = r * 9
Car 2 9r - 90 = r - 10 * 9
The distance between these 2 cars after that 9 hours is 910 km, therefore:
distance that car 1 traveled + distance that car 2 traveled = 910 km:
9r + 9r - 90 = 910 and
18r - 90 = 910 and
18r = 1000 so
r = 55.56 km/hr
and the other car is going 10 km/hr slower at 45.56 km/hr
Does this set of ordered Paris represent a function? Why or why not
Answer:
Me = no it doesn't....
you = why tho
me = becoz function not given .....
so lame joke ik...
similar bars of soap are sold in packs of 3 for $2 or packs of 8 for 5.20 find the difference in the price for 48 bars of soap
Solve for q.
39 + 4 + 9 = -14
q= [?]
[tex]\\ \sf \longmapsto 39+4+q=-14[/tex]
Simplify left side[tex]\\ \sf \longmapsto q+43=-14[/tex]
Change side.[tex]\\ \sf \longmapsto q=-14-43[/tex]
[tex]\\ \sf \longmapsto q=-57[/tex]
Simplify: 5^(x+2)-4×5^x÷21×5^x
Answer:
(1/21)(21×5^(x+2)-4×5^2x)
Step-by-step explanation:
5^(x+2)-4×5^x÷21×5^x
= 5^(x+2)-4×5^2x/21
= 1/21(21×5^(x+2)-4×5^2x)
p = 6, q = 7 and r = 4 Work out a2 pr
Answer:
a times 48
Step-by-step explanation:
a times 2 times p(6) times r(4)
2 times 6 is 12
multiply 12 by 4 to get 48
that is how you get a times 48
Find the value of 4 tenths x hundreds.
4000
400
40
4
the value of 4 tenths x hundreds.
4000
Answer:
40
Step-by-step explanation:
4/10 x 100 = 40
Find the gradient, picture below
Answer:
[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]
Step-by-step explanation:
[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]
When x = 4,
[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]
Answer:
Hello,
Answer 13/8
Step-by-step explanation:
[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]
Find the measure of one exterior angle for the following regular polygon.
Answer:
40 degrees
Step-by-step explanation:
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 (n = Number of sides)
in this scenario you have 9 sides so put it in the equation.
(9 - 2) ×180 = 1260
1260 is the sum of all the interior angles so we must divide this number by the number of sides to get the angle of one individual interior angle.
1260/9 = 140
180-140 = 40 degrees
you buy a refrigerator for $711. The sales tax rate is 4%. Estimate the sales tax
a) $280
b) $28
c) $29
d) $290
Answer:
B. $28
Step-by-step explanation:
Find the sales tax by finding 4% of 711:
711(0.04)
= 28.44
This is closest to 28.
So, the correct answer is B. $28
Given the following coordinates complete the reflection transformation.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (2, 0 ) → A' (2, 0 )
B (4, 1 ) → B' (4, - 1 )
C (6, - 4 ) → C' (6, 4 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (2, 0 ) → A'' (- 2, 0 )
B' (4, - 1 ) → B'' (- 4, - 1 )
C' (6, 4 ) → C'' (- 6, 4 )
find the height of the triangle
Answer:
Step-by-step explanation:
Find the measure of a. A. 110 B. 125 C. 55 D. 75
please answer this!!
Answer:
16
Step-by-step explanation:
if angle c is 45 then angle A is 45 also
Hence AB is equal to BC
apakah itu nombor jujukan ?
Answer:
Sequence number is a list of numbers that are linked by rule.
Plsss help asap plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
The answer is the last one, (X^2-2)/3!
Step-by-step explanation:
To get the inverse of a function, you switch the variables and solve for y. Doing this produces the last choice.
-8a-5=-7a+3 help someone
Answer: a = -8
Step-by-step explanation:
Given
-8a - 5 = -7a + 3
Subtract 3 on both sides
-8a - 5 - 3 = -7a + 3 - 3
-8a - 8 = -7a
Add 8a on both sides
-8a - 8 + 8a = -7a + 8a
a = -8
Hope this helps!! :)
Please let me know if you have any questions
Answer:
a = -8
Step-by-step explanation:
-8a-5=-7a+3 Add 5 to both sides.
- 8a = - 7a + 3 + 5 Combine
-8a = - 7a + 8 Add 7a to both sides
-8a + 7a = 8 Combine
-a = 8 Multiply by - 1
a = - 8
When you get a weird number like this, you should check it.
LHS = -8(-8) - 5
LHS = 64 - 5
LHS = 59
RHS = -(7*-8) + 3
RHS = -(-56) + 3
RHS = 56 + 3
RHS = 59
So a = - 8 must be right.
help me with this question
Answer:
x=5
y=2
w= -5
Step-by-step explanation:
We have that the two matrix are equal, so all corresponding elements are equal.
X-Y=3
From the second row and second column, we have y=2
so x-2=3
x=5
From the third row and the first column, we have w= - 5
11. The student government is selling flowers for homecoming. The project costs them $20 for advertising and
$3 for each flower sold.
a. Evaluate the expressions 3n+20 and 3(n+20) when n = 4.
b. Which expression shows their total cost? How do you know?
Answer:
32
Step-by-step explanation:
3(n+20) = 3(4+20) = 3(24) = 723n+20 = 3(4)+20= 12+20=32If n represents the amount of flowers they sold, then the correct answer should be 32. The cost for each flower they sold would be 3 x 4 and then add $20 for advertising.
Nigel makes the claim that x=6 is the solution to the equation 4(5x−12)−7x=5x. His work to support his claim follows. Given: 4(5x−12)−7x=5x Step 1: 20x−48−7x=5x Step 2: 20x−7x−48=5x Step 3: 13x−48=5x Step 4: 13x−13x−48=5x−13x Step 5: 0−48=−8x Step 6: 6=x Which of the following justifications can be used to justify and support Nigel's work? Select all justifications that are correct.
Step 1 is justified by the Distributive Property. , Step 1 is justified by the Distributive Property. , ,
Step 4 is justified by the Symmetric Property. , Step 4 is justified by the Symmetric Property. , ,
Step 5 is justified by the Property of Additive Inverses. , Step 5 is justified by the Property of Additive Inverses. , ,
Step 2 is justified by the Commutative Property. , Step 2 is justified by the Commutative Property. , ,
Step 6 is justified by the Associative Property.
Answer:
Step 1 is justified by the Distributive Property.
Step 4 is justified by the Symmetric Property
Step-by-step explanation:
Given the equation solved by Nigel expressed as
4(5x−12)−7x=5x.
First, we need to expand the bracket using the distributive property
4(5x−12)−7x=5x.
4(5x)-4(12) -7x = 5x
20x - 48 - 7x = 5x
Hence Step 1 is justified by the Distributive Property.
Next is to collect the like terms;
20x - 7x - 48 = 5x
Take the difference
13x - 48 = 5x
Next is to subtract 13x from both sides according to the symmetric property
13x - 48 - 13x = 5x - 13x
Hence Step 4 is justified by the Symmetric Property
The resulting equation will be
0-48 = -8x
Divide both sides by -8
-48/-8 = -8x/-8
6 = x
Hence the correct justifications are Step 1 is justified by the Distributive Property AND Step 4 is justified by the Symmetric Property
Which systems of inequality's does this graph represent
Answer:
The second one....
Less than "3" and Greater than "2"
Step-by-step explanation:
Which equation should you solve to find x?
12
X х
34°
10
Answer:
B
Step-by-step explanation:
sin(theta) = perpendicular/hypotenuse
sin(34)=x/12
What is the volume of this figure?
Answer:
88 ft^3
Step-by-step explanation:
First find the volume of the rectangular prism on the left
V = l*w*h = 2*(4)*8 = 2*4*8= 64 ft^3
Then find the volume of the rectangular prism on the bottom
The base is not 5 but 5-2 since we used 2 on the left side
V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3
Add them together
64+24=88
लेखकाला शाल देणारे जोडपे
होय साहेब!!!!!!!!!!
What are the roots of the equation x2 + 6x - 4 = 0?
A6+2V13
B.-6+2V13
C.3V13
D.-3V13
Answer:
The answer is D
Step-by-step explanation:
use the quadratic formula, plug and chug, and voila!
Write equation of a line in slope intercept form with the given information p=(1,2) m=4
Answer:
[tex]y=4x-2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
We're given that the slope is 4. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=4x+b[/tex]
Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:
[tex]2=4(1)+b\\2=4+b\\b=-2[/tex]
Therefore, the y-intercept is -2. Plug this back into [tex]y=4x+b[/tex] as b:
[tex]y=4x+(-2)\\y=4x-2[/tex]
I hope this helps!
A
75°
B.
Reflex Angle B =
degrees.
Answer:
285
Step-by-step explanation:
B+A=360, B=360-75=285
An angle whose measure is greater than 180° but less than 360° is termed a reflex angle.
[tex]\large{\textrm{{{\color{navy}{∠A \: + \: ∠B \: = \: 360°}}}}}[/tex]
[tex] \bf \large \longrightarrow \: \:75 \degree \: + \: ∠ B \: = \: 360°[/tex]
[tex] \bf \large \longrightarrow \: \: \angle B \: = \: 360° \: - \: 75 \degree[/tex]
[tex] \bf \large \longrightarrow \: \: \angle B \: = \:285 \degree[/tex]
find the missing side. Round it to the nearest tenth.
Answer: x = 74.3
Step-by-step explanation:
Let 22 be reference angle
so
tan 22 = p/b
tan 22 = 30/x
or, x= 30/tan22
so, x = 74.252
so, x = 74.3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option B, $2020.00
Step-by-step explanation:
Volume of the pool,
12×5×14.5+4×5×7
= 1010 ft³
each cubit foot costs $2, so 1010 ft³ will cost,
1010×$2
= $2020
Pls help I tried basic answers like 50+50+80 =180 but it’s wrong so pls help
Answer:
x = 65 degrees
Step-by-step explanation:
x° + x° + 50° = 180°
2x + 50° = 180°
2x = 180° - 50°
2x = 130°
x = 130°/2
x = 65°