Simplify 5(6x+9)-3x+4
Answer:
27x+49
Step-by-step explanation:
1. Start by distributing the 5 to 6x+9. This means to multiply 6x and +9 by 5.
6x times 5 = 30x
5 x 9 = 45.
5(6x+9) simplifies to 30x+45
2. Rewrite the expression as 30x+45-3x+4
3. Combine like terms.
30x - 3x = 27x
45 + 4 = 49
27x+49
Sharon wants to buy a shirt that costs $70. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?
Answer:
sales tax is $3.50.
She would have to pay $73.50
Step-by-step explanation:
5% of 70 is 3.5 (sales tax)
70+3.5= 73.5
what is the range of this function?
Step-by-step explanation:
The absolute maximum of the function is y = 4, at (3, 4).
Both ends of the function point downward, which stretches to negative infinity.
Hence the range is -infinity < y <= 4. (D)
please please help which equation is equivalent to the formula below?? y= a(x-h)2 +k
Answer:
a=y-k/(x-h)^2
Juan buys a bag of 12 tangerines for $3.48.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answer:
0.29
Step-by-step explanation:
12 divide by $3.48 is 0.29
Okay so I have finals in a week on the picture above ^
How can I pass? (Asking for advice)
f(3) if f(x) = 2x + 4
I need help please help me pu
Answer:
D: x=12
Step-by-step explanation:
Which angle or angles are co-terminal with 175 degrees? All angles below are in degrees. (Select all that apply.)
-185
-175
5
355
535
895
Is this true or false? The following graph represents a proportional relationship:
True
False
Step-by-step explanation:
true I think I hope this helps !!!
the width of a rectangle is fifteen feet less than the length . if the area of the rectangle is 54 square feet , find the width .
a. 3 ft
b. 6ft
c. 9 ft
d. 18 ft
Answer:
A
Step-by-step explanation:
A. 3 x 18 = 54
B. 6 x 21 = 126
C. 9 x 24 = 144
D. 18 x 33 = 594
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Which number sentence is true?
Answer:
A 8.565 < l-13.23l
Step-by-step explanation:
Because the brackets makes the -13.23 positive
A square parking lot has an area of 12,996 square yards. a. What is the length of one side of the parking lot? b. How many yards of fence will it take to enclose the entire parking lot?
Answer:
114 yards
456 yards
Step-by-step explanation:
Given that:
Area of square parking lot = 12,996 square yards
The lenght of one side of the parking lot :
Area of a square = a² ; a = side length
Hence ;
12996 = a²
√12996 = a
114 = a
Hence, length of one side = 114 yards
Yards of fence needed to enclose parking lot :
Perimeter of a square = 4a ; a = side length
Perimeter = 4(114)
Perimeter = 456 yards
Write the equation of the line passing through the point (2,-1) with a slope of -3
Use Cramer's rule to find the solution to the following system of linear equations.
x-2y = -7
5x-9y=-5
Answer:
x = 53
y = 30
Step-by-step explanation:
Step(I):-
Given equations are
x -2y =-7 ...(I)
5x-9y =-5 ..(ii)
The matrix form AX = B
[tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]
The determinant
[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]
By using Cramer's Rule
Δ₁ = [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]
The determinant is Δ₁ = -9 X -7 - (10 ) = 53
x = Δ₁ / Δ
x = 53
The determinant
Δ₂ =
Δ₂ = -5 +35
y = Δ₂/Δ = 30
x - 2y = -7
5x - 9y = -5
[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]
At Mukilteo Elementary school The two fastest runners in the 100 yard dash had race times of 12.19 seconds and 12.38 seconds how much faster was the first runner from the second runner
. 4/2y - 31 - 1 = 11
Answer:
the correct answer is
y = 42
hope this helped :)
PLSS HELPPPP
Reggie recorded how longRandomly selected her to walk 1 mile. He recorded the data in the dot plot below. If 126 students were selected, how many students would Reggie predict would take more than 18 minutes to walk 1 mile.
Answer:
48
Step-by-step explanation:
If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.
8-b; when a= 3 and b=5
Help please. I already got most of the problem done.
cant see the pic
Step-by-step explanation:
Answer:
[tex]y\leq \frac{x}{2}-2[/tex]
Step-by-step explanation:
When dividing/multiplying you flip the inequality sign, and the negative on the x and 2 cancel.
HELPPP PLEASE DUE SOON
Answer:
Step-by-step explanation:
Hi do you have desmos it more easier.
1.y=1
slope=1/2
data handling formula
Answer:
what do you have to do or solve... it doesn't make sense what's got to happen
Simplify the expression using the order of operations show all your work 150- (4²+4) ÷ 2
Answer:
Step-by-step explanation:
150-20/2
need help with vertical angles
Answer:
ok what is thepromblem
Step-by-step explanation:
Answer:
whats up? whats tha questionn :)
Step-by-step explanation:
A couple of travelers are buying souvenirs at the gift shop in Istanbul, Turkey. Jake buys a
keychain for $7.65 and 5 pounds of Turkish delights. Tina buys postcards for $2.45 and 4
pounds of Turkish delights for her mom. Use the variable p to represent the price, in dollars,
per pound of cherries. Write and simplify an expression to represent how much more Jackson
spent.
Answer:
The answer is below
Step-by-step explanation:
Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:
money spent by Jake = 7.65 + 5p
The money spent by Tina who bought 4 pounds of Turkish delight is:
Money spent by Tina = 2.45 + 4p
The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p
(3 + 8i) + (7 -- 2i) - (6 - 5i)
AO 4+1
B.O4 + 117
c. 16 +1
D.O4 + 1143
Answer: (3 + 8i) + (7 -- 2i) - (6 - 5i) = 4 + 15i
_____________________________________________
Simplify the expression.
4 + 15i
_____________________________________________
I need everyone to know something! Don't let anyone ever push you down or call you worthless.
You are worth everything and more! So stay strong, hold on, and live long!
Most people don't hear this often. Your all loved, no matter what it feels like. So please, stay strong. If not for yourself then for me and everyone else who cares for you...
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Find the slope of the line that passes through (8,4) and (6,5)
Answer:
-1/2
Step-by-step explanation:
The equation for slope is y2 - y1 and x2 - x1. So you do 5(y2) - 4 (y1) which is 1. And 6(x2) - 8(x1) which is -2. Put 1 as the numerator and -2 as the denominator as you got -1/2. The fraction is negative because the -2 made it that way
Find the x-intercept of the line: 10x-14y=2?
Answer:
y=2
Step-by-step explanation:
Do you have the graph? pls kindly snap it
which graph represents the solution set of 2x-5<3
Answer:
(See the attachment)
Step-by-step explanation:
None
Write the slope-intercept form of the equation of the line described.
Answer:
Please check the explanation.
Step-by-step explanation:
6)
Given the line
[tex]y=-\frac{1}{3}x+3[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
Thus, the slope of line = -1/3
We know that parallel lines have the same slope.
Hence, the slope of the parallel line is also m=-1/3
So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept
[tex]y=mx+b[/tex]
[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]
Switch sides
[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]
[tex]-1+b=1[/tex]
[tex]b=2[/tex]
Thus, the equation line in slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=-\frac{1}{3}x+2[/tex]
8)
Given the line
[tex]y=\frac{1}{4}x+1[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
so the slope of line = 1/4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: -4
Thus, subtituting m = -4 and (-1, 4) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]
writing the point-slope form in the slope-intercept form
[tex]y-4=-4\left(x+1\right)[/tex]
add 4 to both sides
[tex]y-4+4=-4\left(x+1\right)+4[/tex]
[tex]y=-4x[/tex]