( 2x − 27 ) ( −x + 15 )
= ( 2x + −27 ) ( −x + 15 )
= ( 2x ) ( −x ) + ( 2x ) ( 15 ) + ( −27 ) ( −x ) + ( −27 ) ( 15 )
= −2x^2 + 30x + 27x − 405
= −2x^2 + 57x − 405
1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
38 ounces.Thanks.Hope it helps.Answer:
32 ounces........
..
Step-by-step explanation:
.................A rectangle with an area of 124 cm2 has a length that is 4 times the width. What is the width?
Answer:
62
Step-by-step explanation:
124*2=248
248/4=62
Write the equation in slope intercept form for a line that has a slope or -5 and a y-intercept of (0,2)
Answer:
y = -5x + 2
Step-by-step explanation:
y = -5x + b
2 = -5(0) + b
2 = 0 + b
b = 2
y = -5x + 2
Ayla assembles a straight path for her toy trains using 11 pieces of track. Each piece of track is 8 centimeters long.
How long is the path?
Answer:
88 centimeters
Step-by-step explanation:
8 times 11 is 88
The length of the path is 88 centimeters.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Ayla uses 11 pieces of track, and each piece is 8 centimeters long, so the total length of the path is:
11 pieces of track x 8 centimeters per piece
= 88 centimeters
Therefore,
The length of the path is 88 centimeters.
Learn more about expressions here:
https://brainly.com/question/3118662
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In a group of 200 students, 100 are taking Geometry, 60 are taking IPC and 5 are taking both Geometry and IPC. If a student, chosen at random, is taking Geometry, what is the probability that he or she is taking IPC?
a) 0.025
b) 0.05
c) 0.031
d) 0.083
Washington Middle School has a supply store for students. The graph shows the total sales of the supply store for each month over the school year.
525
450
375
Total Sales (dollars)
300-
225
150
75+
0
10
Month
What is the rate of change in total sales from month 8 to month 9?
O A. -100 dollars per month
OB. -75 dollars per month
C.-50 dollars per month
оо
OD. -25 dollars per month
Answer:
B??
Step-by-step explanation:
It is a little hard to understand because of hot it looks, BUT 300-225 is 75, 225-150=75, 150-75=75,75-70=75
which relation is also a function (i can’t get this wrong please help) 15 points
Answer:
The answer is d
Step-by-step explanation:
this is because a , b and c all have multiple x vales with more then one y value .
solve
[tex]\sf \dfrac{1}{p} + \dfrac{1}{q} + \dfrac{1}{x} = \dfrac{1}{p + q + x}[/tex]
Answer:
[tex] \displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}[/tex]
Step-by-step explanation:
we would like to solve the following equation for x:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x} [/tex]
to do so isolate [tex]\frac{1}{x}[/tex] to right hand side and change its sign which yields:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x} [/tex]
simplify Substraction:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)} [/tex]
get rid of only x:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)} [/tex]
simplify addition of the left hand side:
[tex] \displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)} [/tex]
divide both sides by q+p Which yields:
[tex] \displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)} [/tex]
cross multiplication:
[tex] \displaystyle x(p + q + x) = - pq[/tex]
distribute:
[tex] \displaystyle xp + xq + {x}^{2} = - pq[/tex]
isolate -pq to the left hand side and change its sign:
[tex] \displaystyle xp + xq + {x}^{2} + pq = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle {x}^{2} + xp + xq + pq = 0[/tex]
now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so
factor out x:
[tex] \displaystyle x( {x}^{} + p ) + xq + pq = 0[/tex]
factor out q:
[tex] \displaystyle x( {x}^{} + p ) +q (x + p)= 0[/tex]
group:
[tex] \displaystyle ( {x}^{} + p ) (x + q)= 0[/tex]
by Zero product property we obtain:
[tex] \displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}[/tex]
cancel out p from the first equation and q from the second equation which yields:
[tex] \displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}[/tex]
and we are done!
Find the equation of the line
That is perpendicular to y=-2x+1 and contains the point (8,2)
Answer:
y=.5x-2
Step-by-step explanation:
If one line is perpendicular to another that means that their slopes are negative reciprocals
which means that the slope (or m in y=mx+b) is .5
so far we have
y=.5x+b
to solve for b we plug in (8,2)
2=.5(8)+b
2=4+b
-2=b
therefore our equation is
y=.5x-2
Answer:
hope it helps
stay safe healthy and happy.
PleaseeEEEE helpp!!!
45 POINTS
Answer:1.85+x=5.30
Step-by-step explanation: ez
Answer:
1.85 + x = 5.30
Step-by-step explanation:
It started of at 1.85 meters
After awhile it has reached a height of 5.30
If x represents the meters the tree has grown then x + 1.85 will equal 5.30 as the tree started off at 1.85 meters and reached a height of 5.30
The height of a standard kitchen
counter top would be about
Put a random answer or a correct answer. If you put. A correct answer put “correct” next to it if you put a random answer put “random” next to it
Answer:
25in (correct)
The diameter of a circle is 13 ft. Find its area to the nearest tenth.
Please help me!!!!!!!!!!!!
Answer:
16.03
Step-by-step explanation:
Find the missing angle...
Answer:
15 degrees
Step-by-step explanation:
Because you add 115 and 50 to get 165. And we know that a triangles angles when added up will equal 180. So you subtract 180 and 165 to get 15 degrees, your missing angle!
Hope this helps!
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
the way you speak, or your ___, Can let others know how you are feeling
A.tone
B.emotion
C.voice
D.language
Answer:
A, tone
Tone can also be used in poetry or writing to set the mood. It's kinda like your attitude, so this is the best answer.
Step-by-step explanation:
Answer:
Tone
Step-by-step explanation:
Tone matters more than word choice.
What ideas do you have about what makes Anchorage, Alaska, cooler than Christchurch, New Zealand?
+Science
Answer:
You can explore a variety of things in Alaska. There are so many activities you could do such as visiting museums and hiking and tons more. The thing about this is that it is out in the wilderness which makes it more exciting and cooler to see nature more than it does in new zealand. The climate can be pretty chilly in Alaska but it is way much fun to see tons of glaciers. New zealand has eathquakes frequently whilst Alaska doesn't.
What is 2^4 in standard form?
Answer:
2^4=16
Step-by-step explanation:
2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.
If this has helped you please mark as brainliest
Consider the function f (x) = StartLayout Enlarged left-brace first row negative StartFraction 4 x Over x minus 3 EndFraction, x less-than 5 second row negative 7 x + 25, x greater-than 5 EndLayout. Which type of discontinuity occurs at x = 5? mixed infinite endpoint removable
Answer:
Its removable
Step-by-step explanation:
yes
this is a removable discontinuity
Here we have the piecewise function:
[tex]f(x) = \frac{-4x}{x - 3}[/tex] if x < 5
[tex]f(x) = -7x + 25[/tex] if x > 5.
We want to see which type of discontinuity we have at x = 5.
Remember that:
If we have two asymptotes, then is an infinite discontinuity
if just one point is missing, then it is a removable discontinuity
If the value drastically changes after the discontinuity, then its a jump discontinuity
Mixed case is when two of these happen.
Because we have a piecewise function, we need to evaluate both parts in x = 5.
If both parts give the same value, then we will have a removable discontinuity
if the values are different, then we have a jump discontinuity.
first part:
f(5) = -4×5/(5 - 3) = -20/2 = -10
second part:
f(5) = -7×5 + 25 = -35 + 25 = -10
So we got the same value, which means that this is a removable discontinuity
in the image below you can see the graph of the piecewise function, and see that as x tends to 5, both sides of the function tend to the same value.
if you want to read more about this,, you can see:
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How long would the straw be?
Answer:
Length of straw = 11 inch (Approx.)
Step-by-step explanation:
Given:
Length of cuboid = 9 inch
Width of cuboid = 5 inch
Height of cuboid = 4 inch
Find;
Length of straw
Computation:
Length of straw = Diagonal of cuboid
Diagonal of cuboid = √l² + b² + h²
Diagonal of cuboid = √9² + 5² + 4²
Diagonal of cuboid = √81 + 25 + 16
Diagonal of cuboid = √122
Diagonal of cuboid = 11.04
Length of straw = 11 inch (Approx.)
Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?
Given:
[tex](3x+7)^2[/tex] is subtracted from 3.
To find:
The result of the given statement in the standard form of the polynomial.
Solution:
We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.
So, the resulted polynomial can be written as:
[tex]P(x)=3-(3x+7)^2[/tex]
On simplification, we get
[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]P(x)=3-(9x^2+42x+49)[/tex]
[tex]P(x)=3-9x^2-42x-49[/tex]
[tex]P(x)=-9x^2-42x-46[/tex]
Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].
Jessica went shopping for a new watch. She found a watch that was originally priced at $50 on sale for $40. By what percent had the watch been marked down?
Answer:
20%
Step-by-step explanation:
We were given a price at $50 on sale for $40. To get the markdown percentage, take the amount of money you've discounted the merchandise at and divide it by the sales price.
$50 sweaters, you can put them on sale for $40.
[tex]50 - 40 = 10[/tex]
The difference between these two prices is $10.
Now, we need to add the amount of which it was marked down
[tex]10 + 10 = 20[/tex]
Therefore, the watch has been marked down by 20%.
A linear equation, in terms of x, is correctly solved. The final step in the solution process shows that there are infinitely many solutions of the equation. Which could be the final step? A. x = 0
В. 312 = 427
C. 5,678 = 5,678
D. x = 100,000,000
Answer:
C)
Step-by-step explanation:
infinite number of solutions means the left side equals the right side of the equation
no solution means the left side does not equal the right side
x = {whatever} means there is one solution
Is 3 a solution to 3x + 5 = 5x + 6 - 2
Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
Find the simple interest earned
after 8 years in an account with a
principal of $5,000 and an annual
interest rate of 3%.
Answer:
SI = $1,200 ; A = $6,200
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 5000 × 0.03 × 8 = 1200
I = $ 1,200.00
The simple interest accumulated
on a principal of $ 5,000.00
at a rate of 3% per year
for 8 years is $ 1,200.00.
plzzzz help me!!!! thank you in advance.
Answer:
x-15
Step-by-step explanation:
less than means it comes after
so the 15 is subtracted from x
x-15
Answer:
A. x - 15
Step-by-step explanation:
Find the slope of the line that passes through (1, 10) and (9, 9).
Answer:
Step-by-step explanation:
Use the slope formula=
y2-y1 / x2-x1
the answer is
(-1,8)
what is the area of the triangle 3,4,5