-3x=6x + 2 solve for x
Answer:
Step-by-step explanation:
6x+3x= -2
9x= -2
x= -2/9
Answer:
-3x=6x+2
⇒-9x=2
⇒x=-2/9
Step-by-step explanation:
complete explanation
Answer:
[tex]x ^{m - 3} \div x^{m - 4} \\ \frac{ {x}^{m - 3} }{ {x}^{m - 4} } \\ \frac{ {x}^{m - 3 - m + 4} }{x} \\ \frac{ {x}^{1} }{x} \\ x \: and \: x \: will \: cancel \: each \: other \: hence \: answer \: will \: be \: 1[/tex]
A gas station sells regular gas for $2.30 per gallon and premium gas for $3.00 a gallon. At the end of a business day 320 gallons of gas had been sold, and receipts totaled $799. How many gallons of each type of gas had been sold
Answer:
90 gallons premium gas
230 gallons regular gas
Step-by-step explanation:
We can use the given information to form a system of equations.
First, let's set the variables:
Regular gas: r
Premium gas: p
Throughout the entire day, they sold 320 gallons of r and p combined.
r+p=320
Now, regular gas sells for 2.30 per gallon, which can be written as 2.30r
premium can be shown similarly as 3.00p. After all the gallons they sold, they got 799 in total.
2.30r + 3.00p = 799
As a system of equations, it can be written like this...
r+p=320
2.30r + 3.00p = 799
Now solve. (I won't explain much of the steps here but I'll show it. Comment questions if you have any, and I'll try to answer them.)
r=320-p
2.30r + 3.00p = 799
2.30(320-p)+3.00p=799
736+0.7p=799
0.7p=63
p=90 gallons of premium gas
Now we can solve for regular by just plugging in 90 gallons premium into the top equation.
r+p=320
r+90=320
r=230 gallons of regular gas
check work.
230(2.30)+90.0(3.00)=799
529+270=799
799=799
Subtract.
7x2 - 5x+3
(2x² + 7x-4)
Answer:
7×=14
5×3=15
5+3=8
7×4=28
7-4=3
2×2=4
if add this all will get the answer as 72
if we will subtraction answer will be as -44
Step-by-step explanation:
so we will get the answer asaddition = 72
subtraction= -44
so this is the answerplease give me points
please help me đáp án của nó là gì help me thanks you very much
Solve for h.
H+6/4= 5
What is the answer for 75% of test takers whovscored below average withou an unknown mean and standard deviation
Answer:
sir she hey Jen Jen Jenn receive surge
Answer:
Hello,
Step-by-step explanation:
z=0.7734
p(z<?)=0.75 ==> ?=0.7734
01:15:51 Differential equation of the family of circles touching the y-axis at origin is
Step-by-step explanation:
Correct option is
B
x
2
−y
2
+2xy
dx
dy
=0
The system of circles touching Y axis at origin will have centres on X axis. Let (a,0) be the centre of a circle. Then the radius of the circle should be a units, since the circle should touch Y axis at origin.
Equation of a circle with centre at (a,0) and radius a
(x─a)²+(y─0)²=a²
That is,
x²+y²─2ax=0 ─────► (1)
The above equation represents the family of circles touching Y axis at origin. Here 'a' is an arbitrary constant.
In order to find the differential equation of system of circles touching Y axis at origin, eliminate the the arbitrary constant from equation(1)
Differentiating equation(1) with respect to x,
2x+2ydy/dx─2a=0
or
2a=2(x+ydy/dx)
Replacing '2a' of equation(1) with the above expression, you get
x²+y²─2(x+ydy/dx)(x)=0
That is,
─x²+y²─2xydy/dx=0
or
x²─y²+2xydy/dx=0
look at the image below
Answer:
117.8
Step-by-step explanation:
Surface area = πr²+πrl (whee r = radius and l = slant height)
= π×3²+π×3×9.5
= 75π/2
= 117.8
HELPPPPPPP PLZZZZ ASPPPPPP
Answer: Choice B
[tex](f * g)(x) = \frac{x^2+6x+8}{x^2+2x-15}, \ \text{ for } x \ne -5 \text{ and } x \ne 3\\\\[/tex]
=================================================
Work Shown:
[tex]h(x) = (f * g)(x)\\\\h(x) = f(x) * g(x)\\\\h(x) = \frac{x^2-16}{x^2+3x-10}*\frac{x^2-4}{x^2-7x+12}\\\\h(x) = \frac{(x-4)(x+4)}{(x+5)(x-2)}*\frac{(x-2)(x+2)}{(x-3)(x-4)}\\\\h(x) = \frac{x+4}{(x+5)(x-2)}*\frac{(x-2)(x+2)}{x-3} \ \ \text{ ... see note 1}\\\\h(x) = \frac{x+4}{x+5}*\frac{x+2}{x-3} \ \ \text{ ... see note 2}\\\\h(x) = \frac{(x+4)(x+2)}{(x+5)(x-3)}\\\\h(x) = \frac{x^2+6x+8}{x^2+2x-15}\\\\[/tex]
note 1: A pair of (x-4) terms canceled
note 2: A pair of (x-2) terms canceled
------------------------------
Extra info (optional section):
The fact that [tex]x \ne -5 \text{ and } x \ne 3[/tex] is to avoid a division by zero error in the simplified version of h(x).
I would argue that [tex]x \ne 2 \text{ and } x \ne 4[/tex] should be thrown in as well simply so that the domains match up perfectly with the original f(x) and g(x) functions.
So I think the full domain should be that x is any real number but
[tex]x \ne -5 \text{ and } x \ne 2\\x \ne 3 \text{ and } x \ne 4[/tex]
Put another way: if x = 2 is allowed in h(x), then that clashes with the fact that it's not allowed in f(x). The same idea happens with x = 4 but with g(x) this time. It's possible your teacher glossed this fact over, or ran out of room.
SOVE, REDUCE TO LOWEST TEERMS SIMPLIFY IMPROPER FRACTIONSAS MIXED FRACTIONS
From -13°C to 15°C.
a. -28°C
b. -2°C
C. 28°C
d. 2°C
ccccccccccccccccccccccc
Answer:
Option B
-13°c-2°c= 15°c
hope it helps
14feet 23feet round each measurement to the nearest ten
What does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?
Please help!! I've been stuck on this for WEEKS!!
9514 1404 393
Answer:
x must be rational
Step-by-step explanation:
Assuming a, b, m, n are integers (with b, n not zero), the closure properties of the set of integers tell you that any product or sum of integers is also an integer. That means the difference of products bm-an is an integer, as is the product bn.
Then the value of x is a ratio of integers, so is rational.
The conclusion you can draw is that x must be rational if its sum with a rational number is also rational.
Answer:
x is a rational number
Step-by-step explanation:
2) 70 = -7a
Please help me !
Given equation of a circle: x^2 – 4x + y^2 + 6y = 12 rewrite it in a standard form. Find its radius and coordinates of its center. Standard Form:_____
r:_____
Center:____
Answer:
The standard form is:
(x - h)² + (y - k)² = r², where (h, k) is the center, r is the radiusConvert the given into standard form by completing square:
x² - 4x + y² + 6y = 12x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9(x - 2)² + (y + 3)² = 25(x - 2)² + (y + 3)² = 5²The standard form is above.The center is (h, k) = (2, -3)The radius is r = 5Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 527 and standard deviation 118.
Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20 and standard deviation 3.
1. What is Elanor's standardized score?
Round to 2 decimal places.
3. What is Gerald's standardized score?
Round to 2 decimal places.
4. Assuming that both tests measure the same kind of ability, who has the higher score?
i. Gerald.
ii. Elanor.
iii. They both did equally well.
Answer:
1. Elanor's standardized score is 1.19
2. Gerald's standardized score is 0.72
3. Elanor has higher score.
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=X-M over 8 where
X is the student's score
M is the mean score of the exam
s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =680-554 over 106 ≈ 1.19
Gerald's standardized score is:
z(g)= 27 - 24.7 over 3.2 ≈ 0.72
Since z(e) > z(g), Elanor has higher score
A slide is also called a translation.
ird
True
O False
Answer:
trueeeee
Step-by-step explanation:
Slide (translation) -- a transformation that slides a figure a given distance in a given direction. A slide is also called a translation. Flip (reflection) -- a transformation creating a mirror image of a figure on the opposite side of a line. A flip is also called a reflecti
Which expression is equivalent to s +5+5
s + 5 + 5
= s + 10
Must click thanks and mark brainliest
If a person invested half of her money at 9% and half at 7% and received $160 interest, find the total amount of money invested.
Answer:
$2000
Step-by-step explanation:
let x be the money she invested
lets assume this was for 1 year
0.09(x/2) + 0.07(x/2) = 160
multiply each side by 2 to cancel the denominators:
0.09x + 0.07x = 320
0.16x = 320
x = 2000
Answer: $2000
Let the amount of money she invested be x
Lets assume the time of investment as 1 year
ATQ
0.09(x/2) + 0.07(x/2) = 160
0.09x + 0.07x = 320
0.16x = 320
x = 2000
Must click thanks and mark brainliest
The art teacher bought 19 sketchbooks for $2.98 per book. What equation can be used to find the total cost of the sketchbooks?
Answer:
y = 2.98x
Step-by-step explanation:
x = number of sketchbooks
y = total cost
For U.S. adult males, the mean height is 174 cm with a standard deviation of 5 cm and the mean weight is 86 kg with a standard deviation of 10 kg. Elmer is 185 cm tall and weighs 102 kg. It is most nearly correct to say that
Group of answer choices
Elmer's weight is more unusual than his height
Height has more variation than weight
Elmer's height is more unusual than his weight
Height and weight have the same degree of variation
Answer:
The answer is
Height and weight have the same degree of variation
Answer:
The Answer. is height and weight have the same degree of variation.
4. A Pelican was flying 3 feet above sea level, when it dove to catch a fish that was 2 feet below sea level. How far did the pelican dive?
Answer: The pelican dove 5ft
Step-by-step explanation:
Pelican = 3ft
Fish = -2ft
Went down 3ft to get to 0, went down 2 more feet to get the fish.
In a mathematics class, half of the students scored 86 on an achievement test. With the exception of a few students who scored 46, the remaining students scored 77. Which of the following statements is true about the distribution of scores
Answer:
B. The mean is less than the median.
Step-by-step explanation:
Say there was 20 kids: 10 kids(half) scored 86's, 3 kids(a few) scored 45's, and 7 kids(the remaining) scored 77's.
The median would be- 81.5 (chronological order, find the middle number)
The mean would be- 76.85 (sum of all the scores divided by the number of scores)
The mode would be- 86 (most frequent number)
The mean(76.85) is less than(<) the median(81.5)
Find the value of
[tex] {z}^9{ \times {z}^10 = {z}^x [/tex]
Step-by-step explanation:
Just use the Law of Indices.
5 increased by the product of -3 and a
number x
in algebraic expression
Answer:
5+(-3x)
Step-by-step explanation:
"5 increased by" means you are going to be adding 5 to something.
"product of -3 and x" means that you multiply -3 by x, creating (-3x)
The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as,
Product of -3 and a number x⇒ -3 × x = -3x
Product increased by 5,⇒ -3x + 5
Hence, the given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.
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giving brainliest to whoever finishes this correctly! :)
What is the equation of the line in the following graph?
Answer:
2 . y=-1
Step-by-step explanation:
m=0 (it is a straight line)
use (-6,-1) in y=mx+b
-1=0(-6)+b
-1=b
equation is now
y=0(x)-1
y=-1
Work out the values of a, b and k ? 30 points
Answer:
[tex]\displaystyle a=4, b= \frac{25}{4}, \text{ and } k = \frac{125}{2}[/tex]
Step-by-step explanation:
Note that the graph passes through the points: (0, 4), (1, 25), and (1.5, k).
The standard exponential function has the form:
[tex]\displaystyle y = ab^x[/tex]
The point (0, 4) tells us that y = 4 when x = 0. Therefore:
[tex](4) = a(b)^0[/tex]
Since anything raised to zero is one:
[tex]a=4[/tex]
Hence, our function is now:
[tex]y = 4(b)^x[/tex]
The point (1, 25) tells us that y = 25 when x = 1. By substituting:
[tex](25) = 4(b)^{(1)}[/tex]
Solve for b:
[tex]\displaystyle b = \frac{25}{4}[/tex]
Thus, our completed function is:
[tex]\displaystyle y = 4\left(\frac{25}{4}\right)^x[/tex]
To find k, simply substitute 1.5 for x. This yields:
[tex]\displaystyle y = k = 4\left(\frac{25}{4}\right)^{(1.5)}[/tex]
And evaluate. Hence:
[tex]\displaystyle \begin{aligned} k &= 4\left(\frac{25}{4}\right)^{3/2} \\ \\ &= 4\left(\left(\frac{25}{4}\right)^{1/2}\right)^3 \\ \\ &= 4\left(\frac{5}{2}\right)^3 \\ \\ &= 4\left(\frac{125}{8}\right) \\ \\ &= \frac{125}{2}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle a=4, b= \frac{25}{4}, \text{ and } k = \frac{125}{2}[/tex]
Complete the table for the given rule.
Rule: y is 0.75 greater than x
x y
0
3
9
The complete table is
x y
0 0.75
3 3.75
9 9.75
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
What is substitution?Substitution means putting numbers in place of letters to calculate the value of an expression or equation.
According to the given question.
We have values of x.
Also, one rule that y is 0.75 greater than x.
So, we have a equation for finding the value of y i.e.
[tex]y = x + 0.75..(i)[/tex]
For finding the value of y
At x = 0, substitute x = 0 in equation (i)
[tex]y = 0 + 0.75\\\implies y = 0.75[/tex]
At x = 3, substitute x = 3 in equation (i)
[tex]y = 3+0.75\\\implies y = 3.75[/tex]
At x = 9, substitute x = 9 in equation (i)
[tex]y = 9+0.75\\\implies y = 9.75[/tex]
Hence, the complete table is
x y
0 0.75
3 3.75
9 9.75
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