Answer:
1st blank = 12
2nd blank = 3
3rd blank = (-12)
4th blank = (-21)
Step-by-step explanation:
for the first problem, just remeber that "minus a negitive, equals plus a positive" then -9 + 12, equals a positive 3.
and for the 2nd problem, when there is no negitive on the 2nd term, just remeber that if you change the sign in the middle, change the sign that follows. so that -9 - 12 then turns into -9 + (-12).
hope this helped!
What is (672)x(755)-5
You are considering leasing a store site that has 1,500 square feet. The landlord is asking for a rent of $50 per square foot, per year. How much is the rent per year
Answer:
Ok, so for this, you just need to multiply
The final answer: It costs $75,000 for the rent per year.
Step-by-step explanation:
1,500 x 50 = 75,000
(it says per square foot, look carefully, so multiplying would be correct)
One ferret digs 465 cubic centimeters of soil from a burrow on 5 minutes. Based on this digging rate, write an equation that can be used to predict the amount of soil,s,in cubic centimeters the ferret can dig from a burrow in m minutes
The equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:
s = 93m
One of the ferrets digs 465 cubic centimeters of soil from a burrow in 5 minutes.
The digging rate can be calculated as follows;
What is rate?A rate is a ratio between two related quantities in different units. Therefore,
rate = 465 / 5 = 93 cubic centimetres per minutes.
Therefore, the equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:
s = 93mlearn more on equations here: https://brainly.com/question/25817842
PLEASE ASAP PLEASE A.S.A.P
HELP
Four lines are shown on the grid above
A)(i) write the equation of line L1
(ii) write the equation of line L2
(iii)write the value of (m) and the value of (n) for the line (y=mc+n)
(iv)write the value (p) and (q) for the line y=px+q
B) which of the letters A to K lie in the region where
(i) x >=2. y>=mx +n. and y>=px+q
(ii) y<=2. y<=mx+n. And y<=px+q
C)what is the maximum value of x+y in the region G
Answer:
A) x = 2; y = 2; (m, n) = (1/2, 0); (p, q) = (-3/2, 12)
B) K; A and E
C) 11
Step-by-step explanation:
With the exception of the vertical line, the equations of the lines can be written in terms of their slope and y-intercept. The slope is the ratio of "rise" to "run". The "rise" is the vertical change between points, and the "run" is the horizontal change between the same points. Changes to the right or up are taken as positive. The change amounts can be read from the graph by counting grid squares, or by subtracting coordinate values.
The regions described by an inequality will be to the right of a boundary line for x > (boundary), and above the boundary line for y > (boundary). When these inequalities are reversed, the region will be left or below the boundary, respectively.
__
A)The slope-intercept equation for a line is ...
y = mx +b . . . . where m is the slope, and b is the y-intercept
(i) x = 2 . . . . . . points on the vertical line have an x-value of 2
(ii) y = 2 . . . . . 0 slope, y-intercept of 2
(iii) m = 1/2, n = 0 . . . . rise = 1 for run = 2; y-intercept = 0
(iv) p = -3/2, q = 12 . . . . rise = -3 for run = 2; y-intercept = 12
__
B)(i) Region K is to the right of the vertical line, and above the two slanted lines
(ii) Regions A and E are below y=2 and the two slanted lines
__
C)The maximum value of x+y will be found at the point on the line x+y=c, where c is the largest possible value. That is, it will lie on the line ...
y = -x +c . . . . a line with a slope of -1
such that the line is as far as possible from the origin.
For region G, the point that maximizes "c" in the above equation is point (2, 9), so ...
c = x +y = 2 +9 = 11
The maximum value of (x+y) in region G is 11.
On a map, 1 inch equals 15 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?
Answer:
120 miles
Step-by-step explanation:
15 x 8 = 120 miles
how many solutions does the equation 6(x+2)=3(2x+3) have?
Answer:
no solution
Step-by-step explanation:
6(x+2)=3(2x+3)
6x + 12 = 6x + 9
0 = -3
no solution when there are different numbers on either side of the equal sign
infinite is when there is the same number on either side of the equal sign like 0 = 0
Find the measure of angle b.
Answer:
145°
Step-by-step explanation:
180° - 35°
SCALE DRAWING: An architect made this drawing to represent a
swimming pool. The actual length of the pool is 15 ft. What is the
actual width of the pool shown in the model.
O 20 Feet
O 12 Feet
O 60 Feet
O 15 Feet
Answer:
12ft.
If the real length was 15 but is 5 down in the drawing that means the scale is 3ft to every inch. (15/5 =3).
With that said the width of the drawing is 4 inches. 4 x 3 = 12..
The width of the real pool would be 12 ft.
The equation of a straight line passing through the point (0 2) which is perpendicular to the line y=1/4x+5
Answer: y=-4x+2
Step-by-step explanation:
An angle measures 66.4º more than the measure of its complementary angle. What is the
measure of each angle?
o and
o
Answer:
11.8° and 78.2°
Step-by-step explanation:
let the angles be x and x + 66.4
complementary angles sum to 90° , then
x + x + 66.4 = 90
2x + 66.4 = 90 ( subtract 66.4 from both sides )
2x = 23.6 ( divide both sides by 2 )
x = 11.8 and
x + 66.4 = 11.8 + 66.4 = 78.2
The 2 angles are 11.8° and 78.2°
Please help I will give brainliest.
Answer:
C&E
Step-by-step explanation:
Answer:
C and E
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 ) , then
• if a > 0 then the graph opens upward
• if a < 0 then the graph opens downward
----------------------------------------------------------------
A y = - x² + 9x with a < 0 then opens downward
B y = 10x - 5x² with a < 0 then opens downward
C y = (2x - 1)² = 4x² - 4x + 1 with a > 0 then opens upward
D y = (1 - x)(2 + x) = 2 - x - x² with a < 0 then opens downward
E y = x² - 8x - 7 with a > 0 then opens upward
Find the perimeter of the rectangle, in yards.
Rectangle with four different length sides: twelve and five sixths yards, ten and one third yards, twelve and five sixths yards, ten and one third yards.
46 2/3 yds.
46 1/3 yds.
46 1/4 yds.
46 1/2 yds.
The perimeter of the rectangle is 46[tex]\frac{1}{3}[/tex] yds.
What is a perimeter?Perimeter is the total distance around an object.
To calculate the perimeter of the rectangle, we use the formula below.
Formula:
P = 2(l+w).................. Equation 1Where:
P = Perimeter of the rectanglel = length of the rectanglew = width of the rectangle.From the diagram in the question,
Given:
l = 12[tex]\frac{5}{6}[/tex] yds = 77/6 ydsw = 10[tex]\frac{1}{3}[/tex] yds = 31/3 yds.Substitute these values into equation 1
P = 2[(77/6)+(31/3)]P = 2[(77+62)/6]P = 139/3P = 46[tex]\frac{1}{3}[/tex] yds.Hence, The perimeter of the rectangle is 46[tex]\frac{1}{3}[/tex] yds.
Learn more about perimeter here: https://brainly.com/question/19819849
Will mark brainleist!! PLEASE HELP!! Image provieded Please help me please What type of angles are ∠2 and ∠5
?
Question 1 options:
adjacent angles
alternate exterior angles
alternate interior angles
corresponding angles
none of these
Answer:
corresponding angles . the answer
Answer:
corresponding angles
Step-by-step explanation:
its called the corresponding angles and are equal value
find the midpoint of a segment with endpoints A(3,4) and B(-1,2)
Find the value of 9x + 2 given that -5x-3=2
[tex]-5x-3 = 2\\-5x=5\\x = -1[/tex]
Now plug the x value into 9x + 2
[tex]9(-1)+2) = -7[/tex]
Hope that helps!
Find the Highest Common Factor (HCF) of 18, 36 and 120.
The Highest Common Factor (HCF) of 18, 36 and 120 is 6.
What are factors?A factor is a number that divides another number, leaving no remainder.
Given that, we need to find HCF of 18, 36 and 120.
Finding Factors :-
18 = 2 × 3 × 3
36 = 2 × 2 × 3 × 3
120 = 2 × 2 × 2 × 3 × 5
Common factors = 2 and 3
Therefore,
Highest Common Factor = 2 × 3 = 6
Hence, the Highest Common Factor (HCF) of 18, 36 and 120 is 6.
Learn more about factors, click;
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If the value of "y" varies directly with "x" and y = 6 when x = -2, find "y" when x = 8. Direct Variation Equation: y = kx
First, we'll solve for "k", the constant of variation. What value should we input for "y" in the equation?
A) 6
B) -2
C) 8
Answer:
to solve for k we will put y=6
A box is filled with 4 red crayons, 8 blue crayons, and 2 yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a yellow crayon.
Write your answer as a fraction in simplest form.
음
Х
?
Answer:
3/7
Step-by-step explanation:
there are a total of 14 crayons in the box.
The probability of choosing a red crayon is 4/14 and the probability of choosing a yellow crayon is 2/14
The probability of choosing either red or yellow is the sum of those two fractions which gets you 6/14 which equals 3/7
please hellllllllllp??!
Answer:
B
Step-by-step explanation:
if angle A. and angle B are supplementary
the sum of 2angles ,
angle A + angle B =180 ,
if angle A is less than the angle B
in mathematics form,
let's angle A=X and angle B =X-40
then
angle A+ angle B =180
or, X+ (X - 40)=180
or, 2X=220
or, X=110
What does the word credit mean in the context of this personal bank
statement?
11
of P 00000
was
made at Signet Blue on the
Credit is the money you borrow from the bank. and you need to pay in time with interest.
Prove that the diagonals of rhombus are perpendicular to each other.
Step-by-step explanation:
given : ABCD is a rhombus; AC and BD intersect at E to prove AC and BD in rhombus , ABCD, AC and BD intersect each other at E . given angle ABE and angle ADE
Can someone help me please???
Brainlyest if you can help me lol.
No links please
Part A: The sun produces 3.9 • 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 2.45 • 105 seconds? (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a DVD:
7.4 • 10–4 mm or 7.4 • 104 mm? Justify your answer. (5 points)
#A
Produces per second:-=3.9×10^33ergsProduced energy
[tex]\\ \rm\Rrightarrow 3.9(10^33)(2.45)(10^5)=9.56(10^38) ergs[/tex]
#B
7.4×10^4mm
shorter is more preferable
1. The ratio (10^2000+10^2002) : (10^2001+10^2001)is closest to which whole number?
Answer:
5
Step-by-step explanation:
The whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers. Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B).
It is given that the ratio is,
(10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹)
We have to apply the arithmetic operation for the given ratio in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
[tex]=\frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}} \\\\ =\frac{10^{2000}(1+100)}{10^{2000}(10+10)} \\\\ =\frac{101}{20} \\\\=5[/tex]
Thus, the whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.
Learn more about the ratio here:
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Point P′(5, −4) is the image of point P(2, 3) under a translation. What is the image of (6, −2) under the same translation?
Answer:
(9, - 9 )
Step-by-step explanation:
P (2, 3 ) → P' (5, - 4 )
2 → 5 in the x- direction is + 3
3 → - 4 in the y- direction is - 7
translation rule is then (x, y ) → (x + 3, y - 7 ) , so
(6, - 2 ) → (6 + 3, - 2 - 7 ) → (9, - 9 )
Grant worked 6 hours and packed 96 cartons of books. At this rate, how many cartons can he pack in 10 hours?
Answer:
160
Step-by-step explanation:
First, create an equation to show the number of books per hour.
6x=96
Divide each side by 6
x=16
Then, multiple 16 by 10 to get the total cartons packed in 10 hours.
16x10=160
a rectanglar field has a length of 7m and a with of 8m . lengths are measures to the nearest metre. what is the greatest possible area of the field
Answer:56m^2
Step-by-step explanation:
One section of an atatoriwm has 12 rows each row has 13 seats what is the total number of seats in that section
Answer:
156
Step-by-step explanation:
A problem like this can be solved using multiplication. If each row has 13 seats and there are 12 rows you can get the total amount of seats by multiplying 13x12.
3x+8=2x+21
X=?
(all working out needed)
Answer:
x=13
Step-by-step explanation:
3x=2x+21−8
3x=2x+13
3x−2x=13
x=13
Answer:
x = 13
Step-by-step explanation:
3x + 8 = 2x + 21
x + 8 = 21
x = 13
Which represents the solution set of 5 (x 5) less-than 85.
Answer:
1
Step-by-step explanation:
Answer:
A, x < 12
Step-by-step explanation:
edge
If you answer all of them correctly and no mistake, I'm giving you brainliest plus its due tomorrow so answer this if your a genius. I've been struggling with this for 10 hours straight and plus theres like a bunch of more problems to go I'm like at 71 percent and now I need help on this please people I'm begging you.
Answer:
[tex]\textsf{c)} \quad |3x+12|=\begin{cases}3x+12 \; &\text{if}\;x > -4\\0 \; &\text{if} \; x=-4\\-3x-12\; &\text{if}\;x < -4\end{cases}[/tex]
[tex]\textsf{d)} \quad |(x-19)+11|=\begin{cases}x-8\; &\text{if}\;x > 8\\0 \; &\text{if} \; x=8\\8-x \; &\text{if}\;x < 8\end{cases}[/tex]
[tex]\textsf{e)} \quad |14-(x-6)|=\begin{cases}x-20 \; &\text{if}\;x > 20\\0 \; &\text{if} \; x=20\\20-x \; &\text{if}\;x < 20\end{cases}[/tex]
[tex]\textsf{f)} \quad |14-(6-x)|=\begin{cases}x+8 \; &\text{if}\;x > -8\\0 \; &\text{if} \; x=-8\\-x-8 \; &\text{if}\;x < -8\end{cases}[/tex]
Step-by-step explanation:
The absolute value parent function, f(x) = | x |, is defined as:
[tex]f(x)=\begin{cases}x \; &\text{if}\;x > 0\\0 \; &\text{if} \; x=0\\-x\; &\text{if}\;x < 0\end{cases}[/tex]
Therefore:
The slope of the line where x > 0 is positive.The slope of the line where x < 0 is negative.Its graph is V-shaped and has the following properties:
The x-intercept and y-intercept are at the origin (0, 0).The vertex is at the origin (0, 0).The axis of symmetry is x = 0 (y-axis).The domain is the set of all real numbers: (-∞, ∞).The range is the set of all real numbers greater than or equal to 0: [0, ∞).Part (c)Given absolute value expression:
[tex]|3x+12|[/tex]
Simplify the given expression:
[tex]\implies |3x+12|=|3(x+4)|=3|x+4|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies 3|x+4|&=0\\|x+4|&=0\\x+4&=0\\x&=-4\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-4, 0).
Therefore, the slope of the expression will be positive for values of x greater than -4, and negative for values of x less than -4. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(3x+12) =3x+12[/tex][tex]\textsf{Negative slope}: \quad -(3x+12) =-3x-12[/tex][tex]|3x+12|=\begin{cases}3x+12 \; &\text{if}\;x > -4\\0 \; &\text{if} \; x=-4\\-3x-12\; &\text{if}\;x < -4\end{cases}[/tex]
Part (d)Given absolute value expression:
[tex]|(x-19)+11|[/tex]
Simplify the given expression:
[tex]|(x-19)+11|=|x-19+11|=|x-8|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |x-8|&=0\\x-8&=0\\x&=8\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-8, 0).
Therefore, the slope of the expression will be positive for values of x greater than 8, and negative for values of x less than 8. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(x-8) =x-8[/tex][tex]\textsf{Negative slope}: \quad -(x-8) =-x+8=8-x[/tex][tex]|(x-19)+11|=\begin{cases}x-8\; &\text{if}\;x > 8\\0 \; &\text{if} \; x=8\\8-x \; &\text{if}\;x < 8\end{cases}[/tex]
Part (e)Given absolute value expression:
[tex]|14-(x-6)|[/tex]
Simplify the given expression:
[tex]|14-(x-6)|=|14-x+6|=|20-x|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |20-x|&=0\\20-x&=0\\x&=20\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (20, 0).
Therefore, the slope of expression will be positive for values of x greater than 20, and negative for values of x less than 20. Set the expression inside the absolute value sign to negative and positive to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad -(20-x) =-20+x=x-20[/tex][tex]\textsf{Negative slope}: \quad +(20-x) =20-x[/tex][tex]|14-(x-6)|=\begin{cases}x-20 \; &\text{if}\;x > 20\\0 \; &\text{if} \; x=20\\20-x \; &\text{if}\;x < 20\end{cases}[/tex]
Part (f)Given absolute value expression:
[tex]|14-(6-x)|[/tex]
Simplify the given expression:
[tex]|14-(6-x)|=|14-6+x|=|x+8|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |x+8|&=0\\x+8&=0\\x&=-8\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-8, 0).
Therefore, the slope of expression will be positive for values of x greater than -8, and negative for values of x less than -8. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(x+8) =x+8[/tex][tex]\textsf{Negative slope}: \quad -(x+8) =-x-8[/tex][tex]|14-(6-x)|=\begin{cases}x+8 \; &\text{if}\;x > -8\\0 \; &\text{if} \; x=-8\\-x-8 \; &\text{if}\;x < -8\end{cases}[/tex]