Answer:
[tex]y = {x}^{2} - 11x + 30[/tex]
Two rival dry cleaners both advertise their prices. Store A’s prices are modeled by the expression 20x - 7, where x is the number of items brought in. Store B’s prices are modeled by the expression 4(5x + 7), where x is the number of items brought in. When do the two stores charge the same rate?
Answer:
Step-by-step explanation:
Store A price is 20x-7
store B price is 4(5x+7)
Where x represents the number of items.
Now, observe that the coefficient of both expressions is 20, because 4(5x+7)=20x+7
Remember that the coefficient of the x-variable is always the constant rate of change. Also, the given expressions can be expressed as linear functions
y=20x-7
y=20x+28
Observe that both Stores have already the same rate, which is 20.
Therefore, they have the same rate at any number of items dry cleaned.
What they have different is their initial condition, -7 and +7 respectively, but the rate is the same..
How many terms of the AP -10,-7,-4,-1,.............must be added to get the sum -104?
pls do this fasttttttstttt
Answer:
The value of n is complex
Step-by-step explanation:
The sequence is an arithmetic sequence
Given
First term a = -10
common diff d = -7-(-10) = -4-(-7) = 3
Sn = -104
get the number of terms n using the formula
Sn = n/2[2a+(n-1)d]
-104 = n/2[2(-10)+(n-1)(3)]
-104 = n/2[-20+3n-3]
-208 = n{3n-23}
-208 = 3n²-23n
3n²-23n+208 = 0
Factorize
n = 23±√23²+4(3)(208)/2(3)
n = 23±√529-2496/6
Since the value of n is a complex number, hence the value of n does not exist
Which number line shows the graph of x2 11?
+
7
6
8
9
10
11
12 13 14
+
7
6
00
9
10
11 12 13 14
O
6
7
9
10 11
12 13 14
O
6 7 8
9
10 11
12 13 14
is this a corresponding angle, alternate exterior angle, vertical angle, a supplementary angle, or a linear pair?
Answer:
Vertical angles
Step-by-step explanation:
∠[tex]5[/tex] and ∠[tex]7[/tex] are formed by the same lines and are "opposite" to each other, so they are vertical angles by definition. Hope this helps!
Subtract.
7/9−1/4
Enter your answer in simplest form
Answer:
0.5277
Step-by-step explanation:
Answer:
Step-by-step explanation:
7/9 -1/4
we need to make the fraction even bases
7x4=28 9x4=36 1x9= -9 4x9=36
28/36 -9/36
28-9=19
19/36
how is the orientation of and image affected by translation
Answer:
is this helping?
Step-by-step explanation:
it helps show the words better
sorry if wrong or late qwq
your amazing
Don has an album that holds 900 coins . Each page of the album holds 9 coins . If 78% of the album is empty, how many pages are filled with ?
Answer: 22% of the pages are filled up
Step-by-step explanation: 900/9= 100 78% of 100 is 78
22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.
help me plzzz plzzz help me
Answer:
sepa pero suerte no hablo ingles
30.1593 rounded to the nearest hundredth NOW PLEASE
Answer:
30.16
Step-by-step explanation:
PLSS HELPPPPPPP IMMA FAIL
Answer:
it should 3
Step-by-step explanation:
What is the length of line segment HJ?
Answer:
b = 5√3 (units)
Step-by-step explanation:
To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.
In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.
a^2+b^2 = c^2 (pythagorean therorm)
5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)
25+b^2 = 100 (square the numbers)
b^2 = 75 (subtract 25 from both sides)
b = √75
b = √25 * √3 (factor out√75)
b = 5 * √3 (find square root of√25)
b = 5√3
Hope I was able to help! Good Luck!
Write the quadratic equation where the roots are -1/3 and 5
Answer:
f(x) = 3x² - 14x - 5
Step-by-step explanation:
multiply the factors: (x + 1/3)(x - 5)
x² - 5x + 1/3x - 5/3
x² -14/3x - 5/3
multiply by 3 to eliminate fractions:
3x² - 14x - 5
Jerry is building a dog kennel for his new puppy to play in while he is at work. It will be square made out of wire mesh with 9 foot sides. How many yards of wire mesh does Jerry need to purchase?
Answer:
I think 12yards
What's the reciprocal of 0.5?
Answer:
2
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
Here n = 0.5, then reciprocal is
[tex]\frac{1}{0.5}[/tex] = 2
Lu can type 140 words in 5 minutes, and Ray can type 140 words in 4 minutes.
Answer:
mi no inglés no te podré contestar perdon
Answer:
(Hi!!) I do not know what you need in this Problem but first of all, if your looking for who typed the fastest it was Ray.
What is the area of the figure below?
solve the equation:
1) у – 2 = — 4
Answer:
Y=-2
Step-by-step explanation:
Hope that helps you
Answer:
y=-2
Step-by-step explanation:
first, you have to leave y alone so you have to add 2 on both sides to delete -2
y-2+2=-4+2
now -2+2=0 so that's gone and -4+2 is -2
Now you have the answer UvU
y=-2
A circle has a radius of 14 feet. What is the exact area of the circle and what is the approximate area of the circle and What is the appropriate circumference of the circle.
Answer:
Step-by-step explanation:
Exact area of circle = πr² = 196π sq ft
Approximate area of circle = 615 sq ft
Approximate circumference = 2πr = 88 ft
Answer:
615.75ft²
Step-by-step explanation:
A=πr²=π·14²≈615.75ft²
You guessed 141 envelopes, but there were actually 150 envelopes.
NEED ANSWER ASAP
Answer:
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
I don't really know what your asking here but there we're 9 other envelopes
Where will Jack and Nolan meet
A mountain bike originally priced at $964.00 is up for sale at a discount of 11%. What is the price of the mountain bike after the discount?
Answer:
857.96
Step-by-step explanation:
964/100=9.64
9.64x11=106.04
964-106.04=857.96
I need help with this last question.
A tent has the shape of a triangular prism. Its volume is 25 m cube.
Find one possible whole-number dimension of the prism.
Calculate the surface area of the prism.
Answer:
Step-by-step explanation:
length=1 m
base of triangle=10 m
height=5m
volume= 1/2×10×5×1=25 m cube.
slant height l=√(5²+5²)=√50=5√2
slant surface area=2[5√2×1]=10√2
area of front and back=2×1/2(10×5)=50
total surface area=50+10√2≈50+14.14≈64.14 m²
Yuki concluded:
"It's not possible to map AABC onto AFED using a sequence of rigid transformations, so the triangles
are not congruent."
What error did Yuki make in her conclusion?
Answer:
One more transformation — a rotation — would map △ABC onto △FED So the triangles are congruent.
Step-by-step explanation:
Yup
Help please!! Solve for y.
Answer:
y = 3[tex]\sqrt{7}[/tex]
Step-by-step explanation:
The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is
[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )
y² = 63 ( take the square root of both sides )
y = [tex]\sqrt{63}[/tex] = 3[tex]\sqrt{7}[/tex]
h(x)=-7x-11 when x=7
Answer:
-60
Step-by-step explanation:
h(x)=-7x-11
h(7)=-7(7)-11
h(7)=-49-11
h(7)=-60
Answer:
-60
Step-by-step explanation:
-7x7= -49
-49-11= -60
please solve! thanks!
Answer:
uhm no
Step-by-step explanation:
Answer:
arc 1 = 108 degrees
angle 2 = 54 degrees
Step-by-step explanation:
180 - 72 = 108 (half circle -72)
draw a line from center of circle to tangent point.
this line is perpendicular to the tangent line.
all radii are equal.
then, triangle made with the new line is isosceles with two equal angles.
those angles are 36 degrees each (180 - 108 = 72, 72/2 = 36)
line drawn from center to tangent point is 90 degrees so:
90 - 36 = 54 degrees
When a ribbon is cut into 3 equal pieces,each piece is _______ m long (correct to 2 decimal places).
Answer:
How long was the ribbon before it was cut?
Step-by-step explanation:
Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. What is his true balance?
$414.25
$408.35
$48.32
$365.93
Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. Orlando should:
Keep the adjusted checkbook balance.
Write the true balance in his checkbook.
Write the balance from the bank statement in his checkbook.
Answer:
$365.93
$368.26
Step-by-step explanation:
The true balance :
Statement balance - outstanding cheques
Statement balance = 414.25
Outstanding cheques = 26.54 and 21.76
414.25−26.54−21.78 = 365.93
Adjusted Chequebook balance
Chequebioknvakance will en adjyat d for service charge :
Chequebook balance - service charge
$374.16 - $5.90 = $368.26
8.4x-5=20.2 solve for x
Answer:
x=3
Step-by-step explanation:
please help me I have no idea what in doing
