Answer:
The answer is 7.4
Step-by-step explanation: I don’t really know a better way to tell you the explanation than just tell you the answer
The simplified expression is 7 3/5 or 7.6.
To simplify the expression using the order of operations (also known as PEMDAS), follow these steps:
Step 1: Simplify within parentheses (if any).
There are no parentheses in the expression, so we move to the next step.
Step 2: Perform multiplications and divisions from left to right.
First, let's divide 15 by 5:
15 ÷ 5 = 3
Step 3: Perform additions and subtractions from left to right.
Now, let's add 4 3/5 and 3:
4 3/5 + 3
To add the whole numbers, 4 and 3, we get 7.
To add the fractions, we need a common denominator. The common denominator of 5 and 1 is 5. Converting both fractions to have a denominator of 5:
4 3/5 + 3 = 4 3/5 + 15/5
Now, we can add the fractions:
4 3/5 + 15/5 = (4*5 + 3 + 15) / 5
= (20 + 3 + 15) / 5
= 38/5
Step 4: Express the result in mixed number form (if necessary).
38/5 can be expressed as a mixed number by dividing the numerator (38) by the denominator (5). The quotient is the whole number, and the remainder is the numerator of the fraction:
38 ÷ 5 = 7 with a remainder of 3
Therefore, the simplified expression is 7 3/5, which is equivalent to 7.6 as a decimal.
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Given a polynomial f(x), if (x + 2) is a factor, what else must be true?
Оа
f(0) = 2
Ob
f(0) = -2
Oc
f(2)= 0
Od
f(-2) = 0
Given:
(x+2) is a factor of polynomial f(x).
To find:
The correct statement.
Solution:
If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.
We have, (x+2) is a factor of polynomial f(x).
On comparing (x-c) and (x+2), we get
[tex]c=-2[/tex]
It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,
[tex]f(-2)=0[/tex]
Therefore, the correct option is d.
34. Find the equation of the straight line which
.
passes through the point (3,1) and makes
intercepts on the axes the difference of
whose length is 4.
Answer:
The equation of the straight line passing through the point ( 3,1 )
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Step-by-step explanation:
Step(i):-
The equation of the straight line passing through the point ( 3,1 )
[tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]
[tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]
3b + a = ab ...(i)
Given the difference of length is 4
a-b = 4
b = a - 4 ...(ii)
Step(ii):-
substitute b=a-4 in equation (i) , we get
3( a-4 ) + a = a (a-4)
3a - 12+ a = - 4 a + a²
a² - 8 a + 12 =0
Find the factors of 'a'
a² - 6a -2a +12 =0
a (a-6) -2(a-6) =0
a =2 and a=6
we know that a-b =4
put a = 2
2 - b =4
b = -2
The equation of the straight line whose intercepts on the axes
[tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
The equation of the straight line
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Verification:-
The equation of the straight line passing through the point (3,1)
[tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]
Put x =3 and y=1
[tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]
1 = 1
∴ The point (3,1) is satisfies the equation
Please help me, I need an explanation as well please, not just the answer
trigonometry and trigonometric functions
Answer:
The trigonometric functions include the following 6 functions: sine, cosine, tangent, cotangent, secant, and cosecant. For each of these functions, there is an inverse trigonometric function. The trigonometric functions can be defined using the unit circle.
Step-by-step explanation:
pls, help hurry! a⁴-9
and explain pls
Answer:
[tex] {a}^{4} - 9 \\ = {a}^{ {2}^{2} } - {3}^{2} \\ let \: {a}^{2} \: be \: y \\ = {y}^{2} - {3}^{2} \\ from \: difference \: of \: squares \\ = (y - 3)(y + 3) \\ substitute \: for \: y \\ = ( {a}^{2} - 3)( {a}^{2} + 3)[/tex]
Answer:
100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE2 g. Describe your results in terms of precision and accuracy. Explain your answer in a paragraph for the best grade.
Step-by-step explanation:
a deposit plus $8 per hour
6x + 2 + 3x + 1 =
Please helpppp
Answer:
Factored is 3(3x+1)
Simplified is 9x+3
I'm not sure which one you need.
Find the volume of a right circular cone has a height of 5.6 m and a base with a radius of 16.6 m
Answer:
Step-by-step explanation:
V≈1615.97m³
Answer:
1615.968 m^3
Step-by-step explanation:
V = h/3 * π * r^2
V = 5.6/3 * π * 16.6^2
V = 1615.968 m^3
What do you think x equals?
Answer:
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
Step-by-step explanation:
It costs Seth's socks $1.25 to produce each pair of socks. Seth's sells its socks for $4.00 per pair. What is the percent markup on the socks?
A- 31.25%
B- 68.75%
C- 220%
D- 320%
Answer:
4.00 - 1.25/1.25= 2.2 x 100 = 220
Is it a b c or d someone plz answer
Answer:
answer is c
Step-by-step explanation:
Mark my answer as brainliest
a) Complete the table of values for y=1/4x^3-x^2+2
b) which of a , b or c is the correct curve for y=1/4 x^3-x^2+2
Answer:
a) 1.25 , 2
b) A
Step-by-step explanation:
a) x=1 y = 1/4 x1³ - 1² + 2 = 1 1/4 = 1.25
x=4 y = 1/4 * 64 - 16 + 2 = 2
b) curve A
Answer:
a) i) when x = -2, y = -4
ii) when x = -1, y = 0.75
iii) when x = 1, y = 1.25
iv) when x = 4, y = 2
b) graph A
Step-by-step explanation:
[tex]y = \frac{1}{4} {x}^{3} - {x}^{2} + 2[/tex]
1) when x = -2,* substitute -2 into x[tex]y = \frac{1}{4} {( - 2)}^{3} - {( - 2)}^{2} + 2[/tex]
[tex]y = - 2 - 4+ 2[/tex]
[tex]y = - 4[/tex]
2) when x = -1* substitute -1 into x[tex]y = \frac{1}{4} {( - 1)}^{3} - {( - 1)}^{2} + 2[/tex]
[tex]y = - \frac{1}{4} - 1 + 2[/tex]
[tex]y = \frac{3}{4} \: or \: 0.75[/tex]
3) when x = 1* substitute 1 into x[tex]y = \frac{1}{4} {( 1)}^{3} - {( 1)}^{2} + 2[/tex]
[tex]y = \frac{1}{4} - 1 + 2[/tex]
[tex]y = \frac{5}{4} \: or \: 1.25[/tex]
4) when x = 4* substitute 4 into x[tex]y = \frac{1}{4} {( 4)}^{3} - {( 4)}^{2} + 2[/tex]
[tex]y = 16 - 16 + 2[/tex]
[tex]y = 2[/tex]
what is the value of x/y when x = -15 and y = -3
A 5
B -5
C 12
D -12
Answer:
x= -15
y= -3
x/y
=-15/-3
=5
option A is correct
Consider the function .
f(x)=9-x^2/x^2-4
For which intervals is f(x) positive? Check all that apply.
(–∞, –3)
(–3, –2)
(–2, 2)
(2, 3)
(∞, 3)
Answer:
b and c
Step-by-step explanation:
took test
help !! help !! help !!
Answer:
A: The cube of a number less than the square root of the number.
Step-by-step explanation:
None
what is the value of 2.57 - 1.75
Answer:
0.82
Step-by-step explanation:
35/54 in simplest form ?
Answer:
it can't go to simplest form it has no common numbers
Step-by-step explanation:
Answer:
35/54 is already in the simplest form. It can be written as 0.648148 in decimal form (rounded to 6 decimal places).
Kai saved all she earned each month and put it into a savings account. The amount she had in her savings account is recorded below. What equation best represents this data?y = 230x + 230
y = 230
y = 230x + 100
y = 230x
since she didn't have any money in there when she first started, and she puts it in every month, the correct answer is
y = 230x
hope this helps!!
Another name for 3/3 is
OA) 0
OB) 3
OC) 1
pls help..thanks,,,,
Answer/Step-by-step explanation:
Given, y = k√x
Let's find the following:
a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x
Thus:
16 = k√64
16 = k*8
Divide both sides by 8
16/8 = k
k = 2
b. To find F, substitute k = 2, and x = 100 into y = k√x
Thus:
y = 2√100
y = 2*10
y = 20
F = 20
c. To find x, substitute k = 2, and y = 10√2 into y = k√x.
Thus:
10√2 = 2√x
Divide both sides by 2
(10√2)/2 = √x
5√2 = √x
Square both sides
x = (5√2)²
x = 25*2
x = 50
d = 50
HELPPPP ITS AN EMERGENCY!!!!!!
AB = 17
CD = 25
x = 17
hope this helps!!
Answer:
17
Step-by-step explanation:
The correct answer would be 17!
Literally struggle help pls (right answer only ) giving brainliest
Answer:
PR=21
Step-by-step explanation:
make x+1 and 5x-79 equal bec it is isosceles triangle. So x+1=5x-79. Then isolate x.
4x=80
x=20
Plug x in the PR equation or PQ equation
5(20)-79
Which equals 21
use a calculator and work out the following and write all the figures from your work display. a) (6.2 - 3.51) x (11.7 x 0.3)
Answer:
Solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419
Step-by-step explanation:
We need to solve the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex]
According to DMAS rules first we solve brackets and then we will multiply the results found after solving brackets
So,
[tex](6.2 - 3.51) \times (11.7 \times 0.3)\\=2.69 \times 3.51\\=9.4419[/tex]
First we solved the terms (6.2-3.51) and get 2.69 and by solving (11.7 x 0.3) we get 3.51
Now, we will multiply 2.69 with 3.51 to get the final result.
The final result is 9.4419
So, solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419
If you’re correct I’ll give u brainlist ‘
Answer:
Additive property of length
Step-by-step explanation:
Additive property of length
Given f(x) = 4(3 – X), what is the value of f(-5)?
Hi there.
To find the value of f(-5), we need to substitute x = -5 in the equation.
[tex]f( - 5 ) = 4(3 - ( - 5))[/tex]
Now then, know the basic rules of multiplying in the negative.
When you multiply the negative with the negative, you will get the positive.
Thus, - (-5) = 5
[tex]f( - 5) = 4(3 + 5) \\ f( - 5) = 4(8)[/tex]
Then distribute 4 inside.
[tex]f( - 5) = 32[/tex]
Therefore, the answer is f(-5) = 32
What’s 4+10? I’ll mark brainliest.
Answer:
14
Step-by-step explanation:
10+4=14
Answer: 14
Step-by-step explanation: 4 + 10 = 14 because , THE 10 is UP the 4 ADDS up so since it’s 4 +10 it would be 14. Cause you add 4 UP and equals 14.
Can y’all Hurry And Plzzz Help Me
Answer:
C. its 7.5 per land
Step-by-step explanation:
Answer:
7.50 per lawn
Step-by-step explanation:
for two lawns it is 15 dollars and 15/2=7.50
so for 1 lawn it is 7.50
55.57
What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?
Oy=-x +10
Oy=-x + 12
Oy=-x- 10
Oy=x - 12
Answer:10
Step-by-step explanation:and a slope 2/12 roof slope means your roof has 2 inches of vertical drop for every 12 inches of horizontal distance.Aug
The equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through the points (12, 6) and (0, -4)
Slope = -4-6/0-12
=-10/-12
=5/6
Now let us find y intercept passing through (12, -2)
-2=5/6(12)+b
-2=10+b
-12=b
Hence, the equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12
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The depth of a lake is 15.8 meters. By how many meters does the measured depth differ from the actual depth?
Answer:
Sorry Bro I can't understand
What is the answer to 2 + (c + 0) = ?