Answer:
-18
Step-by-step explanation:
just divide 378 by 21 to get the missing integer:18
since multiplying 2 negatives makes a positive, the same applies for division, so it would be -18
Write a function in any form that would match the graph shown below
Answers:
Vertex form: y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6Pick whichever form you prefer.
=============================================================
Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Solve for z.
57 = –10z +7
Answer:
z = -5
Step-by-step explanation:
Hi there!
We are given the equation 57 = -10z + 7, and we want to solve for z
In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.
So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:
57 = -10z + 7
-7 -7
_____________
50 = -10z
Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10
If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10
[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]
Divide, and cancel:
The zeros cancel out, leaving the equation as:
[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]
Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number
So 5/-1 will become -5, while -1z/-1 will become 1z, or z
Hence:
-5 = z, or written the other way: z = -5
We found z.
Hope this helps!
2x - 5y = 6 and -2x + 7y = 14
*Using elimination*
What is 3 4/5÷(−1 1/10)?
Write the answer as a mixed number in simplest form.
A local high school has both male and female students.
Each student either plays a sport or doesn't.
The two-way table summarizes a random sample of 70 students.
Female
Male
No sport
10
7
Sport 32 21
Let no sport be the event that a randomly chosen student (from the table) does not play a sport.
Let male be the event that a randomly chosen student (from the table) is male.
Find the following probabilities. Write your answers as decimals.
(a) P(male) = 0
(6) P(no sport and male) = 0
(c) P(no sport male) = 0
Answer:
a. P(male) = 0.4
b. P(no sport and male) = 0.1
c. Unclear question (isn't it the same as b.?)
Step-by-step explanation:
The data below is what I've worked according to, which isn't very clear from the question so the answers are only correct if this is the correct table of data;
[tex]\left[\begin{array}{ccc}&No \ Sports&Sports\\Female&10&32\\Male&7&21\end {array}\right][/tex]
a.
[tex]P(male) = \frac{7 + 21}{70} \\\\ = \frac{28}{70} \\\\ = \frac{2}{5}[/tex]
b.
Using the tree diagram in the picture;
[tex]P(no \ sport \ and \ male) = \frac{2}{5} * \frac{1}{4} \\\\ = \frac{1}{10}[/tex]
g(x) = 2x
f(x) = -2x + 2x
Find g(x) + f(x)
Step-by-step explanation:
f(x) = 0
-2x + 2x is always 0.
so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.
long proof :
g(x) + f(x) = 2x + -2x + 2x = 2x
Which number should come next at the end of this series: 1/2, 4, 1/8, 16, _?
Answer:
1/32
Step-by-step explanation:
Explain how each location given in the table is related to the origin.
Refer to the attachment
Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.
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Answer:
8,500 units
Step-by-step explanation:
The contribution margin from each unit is ...
$185 -121 = $64
To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...
($416,000 +128,000)/($64/unit) = 8,500 units
What is 2* 5 equal to?
Answer:
32
.......................................
Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?
options
2 2/3
4
5 1/3
12
Answer:12
Step-by-step explanation:
3 divided by 2 = 1.5
1.5x8=12
He used 12 cups of water
Have A Good Day
The deepest point in the world is the Mariana Trench in the western Pacific Ocean. It is 36,198 ft below sea level. What integer represents this depth?
Answer:
-36,198 feet below sea level
Step-by-step explanation:
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=59(0.59)^x
what is the % increase
Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.
Answer:
More cups
Step-by-step explanation:
Cups are a smaller measuring unit than gallons are. Therefore it would take more cups than gallons to fill a pot.
Help pls
A hot-air balloon is 1550 feet off the ground and its altitude is slowly changing at a constant rate of −7 1/2 feet per second.
How many seconds, s, will it take for the balloon to drop to below 465 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
Answer:
s> 144 2/3
Step-by-step explanation:
I took the test in k12 and i got it right so yea !
Answer: the other person was right
Step-by-step explanation:
D.Solve the following problems.Show your solution
1.A boy ran a distance of 5.8 kilometers. How many meters did he run?
2. Jose walks 378 meters while Rene walks 0.67 kilometers.What is the difference between the distances which they walked,in centimeters
SHOW YOUR SOLOTION PLSSS
I will ggive u points
sana
Which statement represents the expression?
24−8÷4
A.24 minus 8 divided by 4
B.the difference of 24 and 8 divided by 4
C.24 minus the quotient of 8 divided by 4
D.24 minus 4 divided by 8
Answer:
Which statement represents the expression?
24−8÷4
A. 24 minus 8 divided by 4
B. the difference of 24 and 8 divided by 4
C. 24 minus the quotient of 8 divided by 4
D. 24 minus 4 divided by 8
The answer is a. 24 minus 8 divided by 4
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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]
Hope it is useful...20 points!!!!!!!!!!!!!
Answer:
C 132°
Step-by-step explanation:
The measure of <ABG is the sum of the measures one exterior angle of each polygon.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
In a regular polygon, all exterior angles are congruent.
Measure of one exterior angle of a regular pentagon:
360°/5 = 72°
Measure of one exterior angle of a regular hexagon:
360°/6 = 60°
m<ABG = 72° + 60°
m<ABG = 132°
You are correct.
Answer: C 132°
5.You are driving at a constant speed of 20 m/s when you suddenly hit a patch large oil slick. You slam on the brakes and eventually skid to a complete stop. The skid marks are 40 meters long. Calculate the coefficient of kinetic friction between the oil-covered road
and the car tires.
The coefficient of kinetic friction between the oil-covered road
and the car tires. is 0.51
To solve this question, we would consider one of the equations of motion.
v² = u² + 2as, where
v = final velocity, which is also equal to 0
u = initial velocity, which is 20m/s
s = skid marks, which is 40 meters long
a = acceleration, which is unknown
0² = 20² + 2*a*40
0 = 400 + 80a
80a = -400
a = -400/80
a = -5 m/s
Also, it is known that acceleration a = (mu)g, where mu is the coefficient of kinetic friction and g is the acceleration due to gravity.
-5 = mu * 9.8
mu = -5/9.8
mu = 0.51
learn more about equations of motion here https://brainly.com/question/16878713
A line that passes through the points (12,12) and (20,6)
Answer:
8,48 I think
Step-by-step explanation:
I subtracted them from each other
The required equation of the line is given as y = -6x / 8 + 21.
Given that,
A line that passes through points (12,12) and (20,6)
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Standard equation of the line,
y -y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the point in the above equation,
y - 12 = (6-12)/(20 - 12)[x - 12]
y = -6/8[x - 12] + 12
y = -6x/8 +9 + 12
y = -6x / 8 + 21
Thus, the required equation of the line is given as y = -6x / 8 + 21.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
Beth had k dollars. She spent 8 dollars on a bag and the rest of the money on 4 notepads. Find the cost of each notepad in terms of k.
Answer:
Price of a notepad in terms of k ⇒ (k - 8)/4
Step-by-step explanation:
Let the price of a notepad be n.
8 + 4n = k
In order to get the answer, we've to make n as the subject of the above equation.
8 + 4n = k
4n = k - 8
n = (k - 8) / 4
Will mark brainliest, pls help
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales.
s = c(w + rh)
s = c(w − rh)
s = w + rh/c
s = w − rh/c
Answer:
None of the answer options are correct
Step-by-step explanation:
cs + rh = w
cs = w - rh
s = (w - rh)/c
The second one could be corrected by exchanging c with 1/c
The last one would be correct with judiciously applied parentheses.
The first and third have too many errors to even bother trying to correct.
answer could also be written
s = w/c - rh/c
but it is not considered reduced form.
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Answer:
(d) s = (w − rh)/c
Step-by-step explanation:
Undo what is done to the variable. It is multiplied by c and rh is added to that product.
cs +rh = w . . . . . given
cs = w -rh . . . . . undo the addition of rh: add -rh to both sides
s = (w -rh)/c . . . . undo the multiplication by c: divide both sides by c
_____
Additional comment
Each entire side of the equation is divided by c. That means the entire expression (w-rh) is divided by c. It is incorrect to write that division as w-rh/c. The division bar (/) in plain text only refers to the immediately preceding and the immediately following tokens as its operands. When the expression is typeset, the division bar serves as a grouping symbol, showing you the entire numerator.
[tex]s=\dfrac{w-rh}{c}[/tex]
solve pls brainliest
Answer:
w=2.5
Step-by-step explanation:
divide 12.5 by 5: 12.5/5=2.5, so w=2.5
Answer:
2.5
Step-by-step explanation:
To solve for something you want to get it alone on one side. To do this for this problem you want to divide both sides by 5. This comes out to 2.5
Jacob travels to the shops 5 miles from his home, then he travels to the
post office 3 miles from the shops. Afterwards he travels home. What is
the total distance Jacob traveled? What is the total displacement of
Jacob?*
Distance 8 miles : Displacement 8 Mlles
Distance 16 Miles: Displacement 0
Distance 8 Miles: Displacement 8 Miles
Distance 6 miles : Displacement 8 miles
Answer:
[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]
Step-by-step explanation:
Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.
Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.
Hope it helps :) and let me know if you want me to elaborate.
(1 point)
8. The ordered pairs (1, 2), (2, 4), (3, 8), (4,16), and (5,32) represent a function. What is a rule
that represents this function?
O y=x^2
O y=2x
O y=2^x
O y=x+2
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Answer:
(c) y=2^x
Step-by-step explanation:
You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.
5^2 ≠ 32
2×5 ≠ 32
2^5 = 32 . . . . . a good candidate
5 +2 ≠ 32
Only the third choice matches the given ordered pairs.
__
If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).
Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under
the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality.
р
Answer:
The answer is <-2
Step-by-step explanation:
Answer: I'm late but here you go
Step-by-step explanation:
Rajni bought 2 1/2 kg onion at ₹ 30 1/2 per kg. Find the amount spent by Rajni
Step-by-step explanation:
Given that
The cost of 1 kg onions = Rs. 30 1/2
The cost of 1 kg onions = Rs. 61/2
If Rajini bought 2 1/2 kg onions then
The total cost of 2 1/2 kg onions
→ 2 1/2 ×( 61/2)
→ (5/2)×(61/2)
→ (5×61)/(2×2)
→305/4
Rs. 305/4 or Rs. 76 1/4
The cost of 2 1/2 kg onions is Rs. 76 1/4.
what is the awnser to this question (w2x−3)÷10·z when w=−4, x = 0.8, and z=−45
k12
Rewrite 1/4 barrel 2/5 hour as a unit rate
Answer:
5/8
Step-by-step explanation:
1/4÷2/5=1/4×5/2=5/8 barrel/Hour
6. Simplify: -7(3x) + 2(3x – 2). What is the value of the expression if x = 4
Answer:
its x
Step-by-step explanation:sus?