Step-by-step explanation:
3x+5x+4+3
=8x+7
hope it helps
Answer:
6x+7
Step-by-step explanation:
x+4+5x+3
Combine like terms
x+5x +4+4
6x+7
What is the value of 4x2 + 5x - 8, if x = 3?
Answer: 43
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.
Given
4x² + 5x - 8
x = 3
Substitute the value of x
4(3)² + 5(3) - 8
Simplify exponents
4(9) + 5(3) - 8
Simplify multiplication
36 + 15 - 8
Final subtraction and addition
43
Hope this helps!! :)
Please let me know if you have any questions
construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j
[tex]★ \sf\pink{Need \: Required \: Answer}[/tex]
Answer:
the required matrix is can be given as
Stella has five times as many books as Tina. If Stella gave 16 books to Tina, they would each have the same number of books. How many books does Stella have?
Answer:
40 books
Step-by-step explanation:
s = Stella's books
t = Tina's books
Given:
s = 5t
s - 16 = t + 16
Plug first equation into second:
5t - 16 = t + 16
4t = 32
t = 8 books
s = 5t = 40 books
((Check: 40 - 16 = 24 = 8 + 16 ✔ ))
What is the value of x?
Answer:
126
Step-by-step explanation:
Answer:
126°
Step-by-step explanation:
x = (87+165)/2
x = 252/2
x = 126
Answered by GAUTHMATH
Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
С
32
40
B
24
A
Tan C =
Answer:
tanC will be given by the opposite over the adjacent
tanC=24/32
simplified to 6/8
I hope this helps
What is the measure of n?
Answer:
m = 10, n = [tex]\sqrt{75}[/tex]
Step-by-step explanation:
We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).
The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:
[tex]5^2+(\sqrt{75})^2=m^2[/tex]
We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.
[tex]m^2=100[/tex]
This means that m is equal 10, because the square root of 100 is m.
Someone help me with this
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow (side)4[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 4(10)[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40km[/tex]
Height=9.4km[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=Perimeter\times Height[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=40(9.4)[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surace\:Area=384m^2[/tex]
2( 5 1 m− 5 2 )+ 5 3 2, left parenthesis, start fraction, 1, divided by, 5, end fraction, m, minus, start fraction, 2, divided by, 5, end fraction, right parenthesis, plus, start fraction, 3, divided by, 5, end fraction
Answer:
2/5m - 1/5
Step-by-step explanation:
Given the equation :
2(1/5m - 2/5) + 3/5
First step:
Open the bracket by multiplying values in the bracket by 2
2/5m - 4/5 + 3/5
-4/5 + 3/5 = (-4 + 3) / 5 = - 1 / 5
Hence,
2/5m - 4/5 + 3/5 = 2/5m - 1/5
= 2/5m - 1/5
A company has 500 computers that are used by its employees. A sample of 40 of these computers finds that 12 of them require an update to the printer driver. What is the best estimate of the percent of the company's computers that require an update to the printer driver
Answer:
I think the answer might be 30%
Step-by-step explanation:
The best estimate of the percent of the company's computers that require an update to the printer driver is 30%.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
A company has 500 computers that are used by its employees. A sample of 40 of these computers finds that 12 of them require an update to the printer driver.
Using unitary method,
[tex]\frac{40}{12} =\frac{500}{x}[/tex]
Where x is the best estimate of the number of the company's computers that require an update.
x = [tex]\frac{12.(500)}{40}[/tex]
x = 150
To convert it into percentage,
[tex](\frac{150}{500} ).100[/tex]
= 30 %
Hence, the best estimate of the percent of the company's computers that require an update to the printer driver is 30%.
Find out more information about unitary method here
https://brainly.com/question/22056199
#SPJ3
HELP PLEASE!!!!
Find the length of BC
А.53.74
B.96.95
C.84.79
D26.05
Answer:
D 26, 05
Step-by-step explanation:
(look at picture attached)
e Reasons Y...
SIVARI Leaming su...
Solve for 2. Round to the nearest tenth, if necessary.
х
K
J
63°
I
PLS HELP
Answer:
x = .5
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
tan theta = opp / adj
tan 63 = 1/x
x tan 63 = 1
x = 1/ tan 63
x=0.50952
Rounding to the nearest tenth
x = .5
what is the answer to 8= −6+x
Answer:
x = 14
Step-by-step explanation:
add 6 to both sides:
8+6 = 6-6+x
14 = x
x = 14
What is the sum of the polynomials?
(7x3 – 4x2) + (2x3 – 4x2)
9x3 – 8x2
5x3
5x3 – 8x2
9x3
Answer:
9x3 - 8x2
Step-by-step explanation:
7x3+2x3 = 9x3
-4x2+(-4x2) = -8x2
Answer:
D
Step-by-step explanation:
Consider the following function.
Place the steps for finding f -1(x) in the correct order.
↓
↓
↓
↓
Answer:
if f(x) = ax + b then f-1(x) = (x - b)/a
Step-by-step explanation:
Now
f(x)=ax + b
then y = ax + b
interchanging x and y , we get
or, x = ay + b
or, x - b = ay
or, (x - b)/a = y
therefore,f-1(x) = (x - b)/a
dilations geometry!
Answer:
A' (0,20)
B' (30,-20)
C' (-10,-40)
Answered by GAUTHMATH
Hi! i need some help with this question, you don't need to help with the 2 parts, just any 1. Thank you!!
y varies is directly as 3x – 4, and y = 33 when x = 5
Find:
a) y when x = 2
b) x when y = 15
Answer:
See explanation
Step-by-step explanation:
y = k * (3x - 5)
Where,
k = constant of proportionality
y = 33 when x = 5
y = k * (3x - 5)
33 = k * (3 * 5 - 5)
33 = k * (15 - 5)
33 = 15k - 5k
33 = 10k
k = 33/10
k = 3.3
a) y when x = 2
y = k * (3x - 5)
y = 3.3(3 * 2 - 5)
= 3.3(6 - 5)
= 3.3(1)
y = 3.3
b) x when y = 15
y = k * (3x - 5)
15 = 3.3(3x - 5)
15 = 9.9x - 16.5
15 + 16.5 = 9.9x
31.5 = 9.9x
x = 31.5/9.9
x = 3.18
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of the ladder.
please help
solve (4-w)(5w+3)=0
Answer:
4=w w = -3/5
Step-by-step explanation:
(4-w)(5w+3)=0
Using the zero product property
4-w = 0 5w+3 =0
4 =w 5w= -3
4=w w = -3/5
Answer:
4 & -3/5
Step-by-step explanation:
the "trick" is to set each factor = to zero
4-w = 0
w = 4
~~~~~~~~~~~
5w + 3 = 0
5w = -3
w=-3/5
(60 + 24) ÷ 3 = ( __ ÷ 3) + (24 ÷ 3)
Answer: 60
Step-by-step explanation:
The blank space can be filled with 60, as this is a simple problem of distributive property
Daphne borrows $2500 from a financial institution that charges 6% annual interest, compounded monthly, for 2 years. The amount that Daphne will need to pay back at the end of the term is
Find the midpoint of the segment with the following endpoints.
(-8, 7) and (0,1)
Answer:
(-4,4)
Step-by-step explanation:
To find the x coordinate of the midpoints, add the x coordinates of the endpoints and divide by 2
(-8+0)/2 = -8/2 = -4
To find the y coordinate of the midpoints, add the y coordinates of the endpoints and divide by 2
( 7+1)/2 = 8/2 =4
(-4,4)
Use the information in the figure. If F=116, find E
58
32
116
64
Step-by-step explanation:
Given that,
m∠F = 116°We have to find the value of m∠E.
Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.
→ Sum of all the interior angles of ∆ = 180°
→ ∠E + ∠D + ∠F = 180°
→ 116° + x + x = 180°
→ 2x = 180° – 116°
→ 2x = 64°
→ x = 64° ÷ 2
→ x = 32°
Henceforth,
→ m∠E = x
→ m∠E = 32°
[tex] \\ [/tex]
~
If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income
Answer:
Total income is 60,000
Step-by-step explanation:
I. if paid rate is 30%, that's mean 42,000 is 70%
II. Perform ratio 70/100 = 42,000/x
70*x = 100 * 42,000
70x = 4,200,000
x = 60,000
III. If you perform 30/100 = x/60,000 will be 42,000
Sorry for late.
What is 4 1⁄2 cm in millimetres
Answer:
the answer is 205 millimeters
Answer:
205 millimeters.
Step-by-step explanation:
just is
A rectangular field is to be fenced off, and then divided in two by a fence running parallel to one of the sides. If 996 meters of fencing can be used, find the dimensions of the field that will maximize the total area, and then find the maximum area. List the smaller dimension first.
Solution :
Maximize, S = xy
subject to 2x + 2y = 996
So,
2x + 2y = 996
2(x + y) = 996
x + y = 498
y = 498 - x
Therefore,
S = x (498 - x)
S = 498x - [tex]x^2[/tex]
S = [tex]-x^2 + 498x[/tex]
[tex]$S = -(x^2-498x + 249^2) + 300^2$[/tex]
[tex]$S= -(x-249)^2 + 249^2$[/tex]
S = x (498 - x)
S = 498x - [tex]x^2[/tex]
[tex]$\frac{dS}{dx}= 498 - 2x$[/tex]
[tex]$\frac{dS}{dx}= 0$[/tex]
498 - 2x = 0
2x = 498
x = 249
∴ y = 498 - x
y = 498 - 249
= 249
Answer:
A = 249 x 249 = 62001 square meter.
Side is L = 249 m
Step-by-step explanation:
Total length of the fence is 996 m.
Let the length is L and the width is W.
Perimeter = 2 (L + W)
996 = 2 (L + W)
498 = L + W
L = 498 - W ...... (1)
Let the area is
A = L W
A = (498 - W) W
A = 498 W - W^2
Differentiate with respect to W.
dA/dW = 498 - 2 W
Put it equal to zero.
498 - 2 W = 0
W = 249 m
Now, L = 498 - 249 = 249 m
Differentiate with respect to W again
[tex]\frac{d^2A}{dW^2} = - 2[/tex]
As it is negative so the area is maximum.
The maximum area is
A = 249 x 249 = 62001 square meter.
Side is L = 249 m
Enter a recursive rule for the geometric sequence?
4, -16, 64, -256,...
a^1 = __; a^n = __
Plzz help!
Answer:
Step-by-step explanation:
a^1=-2
a^n=a×a^n-1
Phythagorean theorem help plsss
Answer:
95cm
Step-by-step explanation:
c²=76²+57²
c²=5776+3249
√c²=√9025
c=95
I hope this helps
An 8 Foot ladder leans against a building. I'd the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Also, how far from the building is the base of the ladder? round to the nearest 10th
9514 1404 393
Answer:
up the wall: 4√3 ft ≈ 6.9 ftalong the ground: 4 ftStep-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Since the hypotenuse of this triangle is 8 feet, the multiplier of these ratio values is (8 ft)/2 = 4 ft.
The triangle sides are ...
4 ft : 4√3 ft : 8 ft
The ladder reaches 4√3 ≈ 6.9 ft up the wall. Its base is 4 ft from the building.
help me fast pleaseee
Answer:
A
Step-by-step explanation:
The answer is A. Answered by Gauthmath
Determine whether 7^2m · 6^2m is equivalent to each of the following expressions:
42^6m
42^m
42^9m
Answer:
Not equivalent to any of the options
Step-by-step explanation:
Given:
7^2m * 6^2m
Since, they both have different bases, multiply the bases and add the powers
7^2m * 6^2m
= (7 * 6)^(2m + 2m)
= 42^4m
Therefore,
7^2m * 6^2m is equivalent to 42^4m
A. 42^6m
Not equivalent
B. 42^m
Not equivalent
C. 42^9m
Not equivalent
