g(x) = -(x + 1)^2 - 3
Let's simplify this equation
g(x) = -(x^2 + 2x + 1) - 3
Distribute the negative sign
g(x) = -x^2 - 2x + 1 - 3
Combine like terms
g(x) = -x^2 - 2x - 2
The value of a = -2 and this value is LESS THAN 0
5) Answer the following questions :
The total number of boys and girls in a school is 320. the
number of boys in this school is 180 find :
a) The ratio between the number of boys and that of girls.
b) The ratio between the number of boys & the total number of
pupils.
c)The ratio between the number of girls & the total number of
pupils.
Answer:
a)9:7 b) 9:16 c) 7:16
Step-by-step explanation:
the no of girls (320-180)=140
a) ratio of no of boys and girls=180/140=9/7=9:7
b)ratio of boys and total pupil=180/320=9/16=9:16
c) ratio of the girls and pupils=140/320=7/16=7:16
Answer:
a) 9:7 (9 being the boys,7 being the girls)
b)9:16 (9 being boys, 16 being the total pupils)
c)7:16 (7 being girls, 16 being the total pupils)
Step-by-step explanation:
a) No. of girls= 320-180
=140
Boys: Girls
180 : 140 [ ÷ 20]
9 : 7
b) Boys: Pupils
180 : 320 [ ÷ 20]
9 : 16
c). Girls: Pupils
140 : 320 [ ÷ 20]
7 : 16
Jake finished race at 24.53 Lacie finished the race at 18.44. What is the difference between Lacie's time and Jake's time.
Answer:
=6.09
Step-by-step explanation:
you will have to subtract lacie's amount from Jake's amount to find the answer
Can someone help me solve this???
-2 ( 3x - 4 ) = 26
and pls explain
Answer: x = - 3
Step-by-step explanation:
Distribute the -2 into (3x - 4 ). -6x + 8 = 26Subtract 8 on both sides. - 6x = 18Divide -6 on both sides. x = -3if 8 people shared 44 crackers equally how many crackers does each person get
Answer:
Each person gets 5 and 1/2 crackers.
Step-by-step explanation:
44/8=5.5
Answer: each person gets 5 and 1/2 crackers
If there are 679 peaches and then you divide by 4.How many do u have in all.
Answer:
if you have a total of 679 peaches and you split them up into 4 different groups, you will have 169 whole peaches in each but you'll have .75 of a peach left over.
Step-by-step explanation:
Find the missing fraction.
3
2
10
4
3
Answer:
work attached and shown
Explain why the ratio 3ft./1yrd. has a value of one
Answer:
Down below
Step-by-step explanation:
There are 3 feet in 1 yard which makes it have a value of one.
3ft = 1yd
Best of Luck!
Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
d = [tex]\sqrt{146}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-9-2)^2}\\d= \sqrt{(-5)^2+(-11)^2}\\d= \sqrt{25+121}\\d= \sqrt{146}[/tex]
What is -12 +3 + 8?
Answer:
-1
Step-by-step explanation:
-12+3=-9
-9+8=-1
Dan bought these items for
school: 2 pens at $0.75 each, 1
notebook at $1.99, a package of
pencils for 25 cents. How much
change would Dan get if he gave the
cashier a 5 dollar bill?
If M is the midpoint of XY, find the coordinates of X if M(-3, -1) and Y(-8, 6).
Answer
X(2, -8)
Step-by-step explanation:
-8 and -3 have a distance of 5
6 and -1 have a distance of 7
-3 + 5 = 2
-1-7 = -8
(2, -8) is the answer
The coordinates of the Point X will be - X(2, -8).
The Mid - point of the line segment is at coordinates - M(- 7.5, 0.5)
We have two coordinate points - M(-3, -1) and Y(-8, 6)
We have to find the coordinates of the Point X.
What is Mid - Point Theorem?It states that a line with endpoint coordinates as - [x(1), y(1)] and
[x(2), y(2)] has its mid - point at the coordinates -
[tex](X_{m} ,Y_{m}) =[/tex] [tex](\frac{x(1) + x(2) }{2}, \frac{y(1) + y(2)}{2} )[/tex]
According to question, we have -
coordinates of Mid - Point = (- 3, -1)
coordinates of Y = (- 8, 6)
Using the Mid - Point formula -
-3 x 2 = x(1) - 8
x(1) = - 6 + 8
x(1) = 2
and
-1 x 2 = y(1) + 6
y(1) = -2 - 6
y(1) = - 8
Hence, the coordinates of the point X will be - X(2, -8)
To solve more questions on Mid - points, visit the link below -
brainly.com/question/25377004
#SPJ2
Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown. Mike: 16.4 oz, 15.2 oz, 15.8 oz Teegan: 16.34 oz, 16.59 oz, 15.13 oz Which statement is true? Mike's measurements are more precise and more accurate. Teegan's measurements are more precise and more accurate. Mike's measurements are more precise, but Teegan's measurements are more accurate. Mike's measurements are more accurate, but Teegan's measurements are more precise.
Answer:
The correct option is;
Mike's measurement are more precise and more accurate
Step-by-step explanation:
The given information are;
The mass of the measured bottle = 16-ounce
The record of the measurements made by Mike are;
16.4 oz
15.2 oz
15.8 oz
The record of the measurements made by Teegan are;
16.34 oz
16.59 oz
15.13 oz
From the two measurements, we have;
The precision of a measurement depends on how close the values of the measurement are to one another, therefore, we have;
For Mike, the precision is given as follows
16.4 - 15.2 = 1.2
16.4 - 15.8 = 0.6
15.8 - 15.2 = 0.6
Total difference = 1.2 + 0.6 + 0.6 = 2.4
For Teegan , the precision is given as follows
16.59 - 16.34 = 0.25
16.59 - 15.13 = 1.46
16.34 - 15.13 = 1.21
Total difference = 0.25 + 1.46 + 1.21 = 2.92
Therefore, Mike's measurements are more precise than Teegan's measurements
The accuracy of the measurement is the amount of closeness the measurements are to a given value
In the question, the given value is 16-ounces of the volume of the bottle
Therefore, by the mean absolute deviation from the 16-ounce of the bottle, we have;
For Mike;
[tex]Mean \ absolute \ deviation = \dfrac{\left | 16.4 - 16 \right | + \left | 15.2 - 16 \right | + \left | 15.8 - 16 \right | }{3} = 0.533[/tex]
For Teegan, we have;
[tex]Mean \ absolute \ deviation = \dfrac{\left | 16.34 - 16 \right | + \left | 16.59 - 16 \right | + \left | 15.13 - 16 \right | }{3} = 0.6[/tex]
Therefore, Mike's measurement is more accurate than Teegan's measurement.
Which gives;
Mike's measurement are more precise and more accurate.
Answer:
Mike’s measurements are more accurate, but Teegan’s measurements are more precise.
Step-by-step explanation:
Click or touch the graph to plot the points.
ty
16
Graph each set of points. Which set represents
equivalent ratios?
O (1,4), (2, 6), (3, 3)
O (2,8), (3, 12), (4, 16)
O (3, 8), (6, 16), (8, 20)
(1,5), (3, 12), (5, 20)
12
8
4
1
4
8
12
16
Identify the type of slope with the description of the line.
Zero Slope
( Choose)
Undefined Slope
[Choose )
Positive Slope
[Choose )
Negative Slope
[Choose)
Zero slope-Horizontal line
Undefined slope-Vertical slope
Positive slope-Left to right line is going up
Negative slope-Left to right line is going down.
Answer:
Zero slop is; horizontal line
Undefined slope is; vertical line
Positive slop is; left to right going up
Negative slope is; left to right going down
Evaluate the expression for v = 12.
Write your answer as a decimal or whole number.
–10.9 + 4v =
Answer:
1.
v = 12
-10.9 + 4v
-10.9 + 4(12)
-10.9 + 48
= 37.1
For a dinner , a caterer charges $150 plus $19 per person. This function represents the relationship between n, the number of people at the dinnerand T(n) , the total cost. T(n) = 150 + 19n Determine the total cost, in dollars, for the caterer to serve dinner to 90 people
Rewrite in simplest terms: -5a – 86-8a + 1)
Answer:
- 13a - 85
Step-by-step explanation:
Given
- 5a - 86 - 8a + 1 ← collect like terms
= (- 5a - 8a ) + (- 86 + 1)
= - 13a + (- 85)
= - 13a - 85
Answer:
-13a - 85
Step-by-step explanation:
Collect the like terms
-5a -8a = -13a
Then calculate the sum
-86 + 1 = -85
and then you get your answer
-13a - 85
Consider the following function:
y = one-fourth cosine (negative one-fourth x)
Which of the following statements are true? Check all that apply.
The graph is symmetric to the y-axis.
The function decreases on the interval (0, 4π).
The frequency is StartFraction 1 Over 4 pi EndFraction.
The graph is compressed horizontally by a factor of One-fourth
The graph has x-intercepts at x = 2π and x = 6π.
Please help and give an explanation if possible
Answer:
the answers are A., B., and E.
Step-by-step explanation:
The correct options are A, B, and E which represent the condition of the function y = 0.25 cos (- 0.25x).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
y = 0.25 cos (- 0.25x)
The graph of the cosine function is given below.
The key points regarding cosine function are as follows:
The graph is symmetric to the y-axis.The function decreases on the interval (0, 4π).The graph has x-intercepts at x = 2π and x = 6π.The correct options are A, B, and E which represent the condition of the function y = 0.25 cos (- 0.25x).
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ3
Janice already has 2 flowers in her garden, and she can also grow 4 flowers with every seed packet she uses. Write an equation that shows the relationship between the number of seed packets x and the total number of flowers y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y=4x+2
Step-by-step explanation:
4x represents that for every one seed, she will have 4 flowers, and 2 represents the the number of flowers she already has
J = -h+b
Solve for B
Answer:
See Below
Step-by-step explanation:
Isolate B
Soo add h to both sides
J = -h +b
+h +h
J + h = b
or
b = j + h
Find the first four terms of the sequence using the recursive formula.
Answer:
- 3, - 11, - 35, - 107
Step-by-step explanation:
Using the recursive formula with f(1) = - 3 , then
f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11
f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35
f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107
Thus the first four terms are
- 3, - 11, - 35, - 107
What is the best estimate for the value of the expression?
[34/8 - 16/3] -14/9
O -3
O -2 1/2
O 7
O 7 1/2
Answer:
-2 1/2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
-2 1/2
A vendor at a baseball game sells boxes of popcorn and bags of pretzels.
• A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
• Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00.
Each bag of pretzels costs $
Answer:
Each bag of pretzels costs $1.75
Step-by-step explanation:
Let the cost of 1 box of popcorn be $x
Let the cost of 1 bag of pretzel be $y
_______________________________________
A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
cost of 2 box of popcorn =2*$x = $2x
sum of cost 2 boxes of popcorn and 1 bag of pretzels in terms of x and y
2x + y = 6.75 equation A
__________________________________
Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00
cost of 2 box of pretzel =2*$y = $2y
sum of cost of 1 box of popcorn and 2 bags of pretzels in terms of x and y
x + 2y = 6 equation B
x = 6 - 2y
substituting this value of x in equation A
2(6 - 2y) + y = 6.75
=> 12 - 4y + y = 6.75
=> -3y = 6.75 - 12 = -5.25
=> y = -5.25/-3 = 1.75
Thus, Each bag of pretzels costs $1.75
A 5kg ball is traveling at the same speed as a 10 kg ball. compared with the 5 kg ball, the 10 kg ball has
1) half the momentum
2) twice the momentum
3) five times the momentum
4) the same momentum
Answer:
2) twice the momentum
Step-by-step explanation:
p=mv
momentum had a directly proportional relationship to mass, what this means is that if you somehow increase the mass of the object twice the momentum will also increase twice, if the mass decreases by 5 times the momentum will also decrease by 5 times. Therefore, since the 10 kg object is twice the mass of the 5 kg object, so is its momentum relative to the 5 kg object. (5×2=10) 2p=2m
What is the solution of the equation 2/3 + 5x/3= 9 ?
Answer:
x=5
Step-by-step explanation:
multipy both sides of the equation by 3 to remove the denominator becomes
2+5x=27
subtract 2 from both sides since it's positive
5x=25
divide 5 from both sides
x=5
Please mark Brainlist!!!
What is the slope the line that passes through the points:
(-6, 14), (2, -18)
Hey there! I'm happy to help!
Here's how to find the slope given any two points.
Subtract the y values.
14-(-18+-14+18=32
Subtract the x values.
-6-2=-8
And divide those.
32/-8=-4
The slope is -4.
Have a wonderful day! :D
is negative 31 an integer
Answer:
yes
Step-by-step explanation:
all numbers are integers
1.
What is the solution of the system of equations?
y = 3x - 4
-3y = -9x + 12
Answer:
Step-by-step explanation:
-3(3x - 4) = -9x + 12
-9x + 12 = -9x + 12
0 = 0
infinitely many solutions
I need help pls! :/ anyone know the answer to this?
Answer:
I think it is a
Step-by-step explanation:
1. There are 34 panda stickers, 24 elephant stickers, 32 smiley face stickers
and 12 star stickers in the sticker machine. Tara wants to get a star sticker
or a panda sticker
Answer:
she could add them all up
Step-by-step explanation: