Answer:
The vertex is (4,-5) and the axis of symmetry is x = 4. The range is all real numbers
Step-by-step explanation:
vertex is calculated by -b/2a so the vertex would be -5/2(2) which is equal to (4,-5).
The axis of symmetry is the x number in the vertex so it would be x = 4.
Answer:
vertex is (4, -5)
Step-by-step explanation:
given:
y = 7 * (x - 4) ^ 2 - 5
find:
Determine the range.
y = 7 * (x - 4) ^ 2 - 5
rewrite in the form of y = ax² + bx + c
y = 7x² - 56x + 107
the parameters are:
a = 7
b = -56
c = 107
Xv = - ( - 56 )
2 * 7
simplify:
Xv = 4
plugin values into Yv
Yv = -5
therefore the vertex is (4, -5)
Last year, Shen opened an investment account with $7800. At the end of the year, the amount in the account had decreased by 22.5% . How much is this decrease in dollars? How much money was in his account at the end of last year?
Answer:
The decrease was $1755.
At the end of the year, he had $6045 in his account.
Step-by-step explanation:
Start with $7800.
Decrease of 22.5% of $7800.
22.5% of $7800 =
= $1755
The decrease was $1755.
$7800 - $1755 = $6045
At the end of the year, he had $6045 in his account.
set up and solve an equation for the following scenario in a food processing facility there is a large vat that must be filled halfway with water which is 72 inches the vat fills up with water at 0.2 inches per minute if the water is already at 9 inches how long will it take until the vat reaches halfway
it will take 314 minutes ro fill the vat halfway
what are the domain and range of the function f(x)=2^x+1?
Answer:
Step-by-step explanation:
Simplify the expression.
3 +22= 2 + 3
Hey there!
ANSWER: [tex]25=5[/tex]EXPLANATION:[tex]3+22=2+3[/tex]
So let's first add 3 + 22.
[tex]3+22=25[/tex]
Now we have to add 2 + 3.
[tex]2+3=5[/tex]
So that means the answer to this is:
[tex]25=5[/tex]
This is false because [tex]25[/tex] is not equal to [tex]5[/tex].
Hope this helps!
[tex]-TestedHyperr[/tex]
Please help me! I don’t get these
Answer:
search it up
Step-by-step explanation:
100+12+12+12+12+12+12=
Answer:
172
Step-by-step explanation:
100+12+12+12+12+12+12=
= 100 + 6(12)
= 172
Answer:
172
Step-by-step explanation:
The simple way to do this, would be to note that there are six pairs of twelve
this means that in those six pairs there are 72 ones
so what is 100+72?
172
If you wanted to check, you could do
100+12
112+12
124+12
136+12
148+12
160+12
172
5- 4x + 2 = 27
Need help
Answer:
5-4x +2 =27
7-4x = 27
-4x = 27 -7
-x = 20/4
-x = 5
x= -5
Step-by-step explanation:
5- 4x + 2 = 27
-4x=20
x=-5
An apartment building has a parking lot with 12 parking spaces for tenants. At 6 a.m., all 12 spaces were full. At 8 a.m., the number of cars in the lot had decreased by 4. By 9 a.m., there were no cars left in the lot. Use the number line to show each change in the number of cars in the parking lot. What integer represents the change in the number of cars between 8 a.m. and 9 a.m.?
Answer:
...80u9
Step-by-step explanation:
What is the slope of the line 4x – 2y = 5?
Answer:
y =2 x − 5/ 2
R(9, 7) and S(3,9) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M=
Answer:
MP=(6,8)
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{9+3}{2} )(\frac{7+9}{2})\\MP= (\frac{12}{2} )(\frac{16}{2} )\\MP= (6,8)[/tex]
is this a right triangle?
The only way to really tell is to check it with the Pythagorean Theorem.
The Pythagorean Theorem describes every right triangle, and every triangle that fits the Pythagorean Theorem has a right angle in it. Guaranteed. This is incredibly handy.
If this IS a right triangle, then
(one leg squared) + (the other leg squared) = (the hypotenuse squared) .
Let's check it out:
-- One leg squared = (11 cm)² . That's 121 cm² .
-- The other leg squared = (√99 cm)² . That's 99 cm² .
-- Their sum is (121 + 99) cm² . That's 220 cm² .
-- The hypotenuse squared is (15 cm)² . That's 225 cm² .
Is 220 cm² equal to 225 cm² ?
NO ! They are not equal. They are different !
The sum of the squares of the legs is NOT equal to the square of the hippopotamus.
==> This triangle does NOT fit the Pythagorean Theorem.
==> It is NOT a right triangle.
(The angle in the bottom corner is slightly bigger than 90°. But you can't tell by looking at it. It's so close that you can only tell by checkoing the lengths againt the Pythagorean Theorem.)
x/42=15/7? proportion
Answer: x=90
Step-by-step explanation: Okay let's see! Let's solve your equation step-by-step.
x
42
=
15
7
Step 1: Cross-multiply.
x
42
=
15
7
x*(7)=(15)*(42)
7x=630
Step 2: Divide both sides by 7.
7x
7
=
630
7
x=90
Answer:
x = 90
Step-by-step explanation:
7x = 42 * 15 = 630
x = 630/7
x = 90
Pls halp due today >_<. Thank you
Answer:
12 and 13
Step-by-step explanation:
12•12=144
And
13•13=169... but there is no whole number in between can equal 150
And btw is that big ideas bc I used to use that lol... Hope this helps!!
Find the coordinates of the midpoint of RS if R(-8,-3) and S(2,7) (-3,-2) (2,-3) (3,-2) (-3,2)
Answer:
Step-by-step explanation:
(-8+2)/2= -6/2 = -3
(-3+7)/2= 4/2 = 2
(-3, 2) midpoint
-3(1 + 6r) = 14-r
Solve for r
Answer:
1
Step-by-step explanation:
-3(1+6r)=14-r
use distributive property
-3(1)+(-3)(6r)=14-r
-3+18r=14-r
r+18r=14+3
19r=17
divide both sides by 19
0.89473684210526
round to the nearest whole #
1
Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table. Monthly Charge for Plan A Minutes used, x Monthly charge ($), y 0 14.45 3 14.84 6 15.23 9 15.62 12 16.01 Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?
Answer:
B
Step-by-step explanation:
The slope of the linear function for plan B is of $0.17.
---------------------------
A linear function has an equation in the following format:
[tex]y = mx + b[/tex]
In which
m is the slope, which is the rate of change, measuring how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.---------------------------
Plan B has the same monthly base charge as plan A, that is, from the table, when [tex]x = 0, y = 14.45[/tex], and thus, (0, 14.45) is one of the points of the function.The monthly charge for 45 minutes is of $22.10, thus, another point is (45, 22.10).Given two points, the slope is given by the change in y divided by the change in x. Thus:[tex]m = \frac{22.1 - 14.45}{45 - 0} = 0.17[/tex]
The slope is of $0.17.
A similar problem is given at https://brainly.com/question/16302622
Are vertical angles always complementary?
Answer:
1 Answer. Complementary angles are those that sum up to 90o . Vertical angles have equal measures. Therefore, if vertical angles measure 45o each, they are complementary
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Complementary angles are those that sum up to 90o . Vertical angles have equal measures. Therefore, if vertical angles measure 45o each, they are complementary.
What is the value of x 2/3-1=11.
Answer:
18
Step-by-step explanation:
The perimeter of a regular pentagon is 41.5 cm. Write and solve an equation to determine the length of each side of the pentagon.
Answer:
41.5÷5= the answer 8.3 cm
Given Ax) = 5x^6what is the domain?
0 5
O XC0
O XC0
O all real numbers
Answer: a= 5o3x606 / 2.718282ginv
Step-by-step explanation:giv(2.718282)nax=5x605oxc0oxc0o
Step 1: Divide both sides by 2.718282ginvx.
2.718282aginvx
2.718282ginvx
=
5o3x607
2.718282ginvx
a=
5o3x606
2.718282ginv
Answer:
all real numbers
part two is y is greater than or equal to 0
Step-by-step explanation:
correct on edge
RS bisects TU at Q. If TQ=5k-9 and QU=15-x
Answer:
x = 4, TU = 22
Step-by-step explanation:
Given that TS bisects TU at Q , then
TQ = QU , substitute values
5x - 9 = 15 - x ( add x to both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
Thus
TU = 5x - 9 + 15 - x = 4x + 6 = 4(4) + 6 = 16 + 6 = 22
can’t move on until this question is answered help :((
Function m is a transformation of the parent quadratic function f(x)=x^2
m(x)=x^2 +5
which statement is true?
A. Function F was translated 5 units down to create function M
B. Function F was translated 5 units left to create function M
C. Function F was translated 5 units up to create function M
D. Function F was translated 5 units right to create function M
Answer:
C. Function F was translated 5 units up to create function M
Answer:
its C.function f was translated 5 units up to create function m
Find the value of x.
to
33°
38
how many solutions does 6(x + 2) = 5(x + 7) have
Given f(x) = | – 5 – 4x| ,find the following:
f(- 10) =
f(-11) =
f(12) =
f(2)=
Answer:
[tex]f(10) = 35 \\ \\ f( - 11) = 39 \\ \\ f(12) = 53 \\ \\ f(2) = 13[/tex]
Step-by-step explanation:
[tex] f(x) = | - 5 - 4x| [/tex]
To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x
NB: Absolute value of a negative number is the same number but positive.
So we have
[tex]f( - 10) = | - 5 - 4( - 10)| \\ = | - 5 + 40| = 35 \\ \\ f( - 11) = | - 5 - 4( - 11)| \\ = | - 5 + 44| = 39 \\ \\ f(12) = | - 5 - 4(12)| \\ = | - 5 - 48| \\ = | - 53| = 53 \\ \\ f(2) = | - 5 - 4(2)| \\ = | - 5 - 8| = | - 13| \\ = 13[/tex]
Hope this helps you
Answer:
f(-10)=35
f(-11)=39
f(12)=53
f(2)=13
plz put brainliest
f(x) = 10x - 7 what is f (0)
Kirk finds a dog leash with a price tag of $24 at a pet store.
The leash is 10% off the original price. He must also pay 6%
sales tax. What is the total cost of the leash?
Select one:
00)
$22.90
O.
o
1)
$24.82
O
$21.60
$25,44
The total cost of the leash will be $22.90. The correct option is A.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Kirk finds a dog leash with a price tag of $24 at a pet store. The leash is 10% off the original price. He must also pay 6% sales tax.
The cost after 10% off is:-
Cost = 24 - 24 x ( 10 / 100 )
Cost = 24 - 2.4
Cost = 21.6
Total cost after 6% sales tax = 21.6 + ( 21.6 x 0.06)
Total cost after 6% sales tax = 21.6 + 1.296 = $22.9
Therefore, the total cost of the leash will be $22.90. The correct option is A.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
How do you turn fractions into decimals
Answer:
you divide the numerator by the denominator
Step-by-step explanation:
What is the the simplified form of the following expression? 5(t-1)
A t + (-5)
B 6t
C 5t + (-5)
D 5t + (-1)
I havvevee3 no idea what the answer isss HELP MEEEEEEEEEEEEEEEE
