What is the y-intercept of the graph of the equation y =(2x−3)^2+7
Answer:
(0,16)
Step-by-step explanation:
Hi there!
The y intercept is the value in which the parabola passes through the y axis
Therefore, the value of x at the y intercept is 0
So to find the value of the y intercept, substitute x as 0 in the equation.
y=(2x-3)^2 + 7
If x=0, then:
y=(2(0)-3)^2 + 7
Multiply
y=(0-3)^2 + 7
Subtract 3 from 0
y=(-3)^2 + 7
Raise -3 to the second power
y= 9 + 7
Add 9 and 7 together
y = 16
So the y intercept is the point (0,16)
Hope this helps!
what is 3 x 7 = x 3 ?
Answer:
7
Step-by-step explanation:
21=3x
x=7
Answer:
x = 7
Step-by-step explanation:
3 x 7 = x 3
21 = 3x
x = 21/3 = 7
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years
We must use the simple interest formula which is: A = P(1+rt) where
A = output amount , P = initial amount, r = rate as a decimal, and t = time.
so in this case we would write:
A(30) = P(1+rt) = 3000(1 + 0.013(30)) = 4170
We then see that A(30) is equal to $4170 at 30 years.
A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation 50 7p = 15 to find the number of players.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2
Answer: B
Solution: Because the line is a dotted line. so print (-3, -1) and (3, 3) , (0, 0) are not the solution, so , answer is (0, 5) choice B.
Answer:
C
Step-by-step explanation:
first way: (easier way)
Plot the points out, points in the blue region are solutions. points on the dotted line are not solutions since it is a dashed line.
(0,5 is in the blue region)
second way:
find the equation of the in-equality:
the line that divides solutions and non-solutions passes through 3,3 and -3,-1
y=mx+b
m=change in y/change in x = (-1-3)/(-3-3) = 2/3
y=2/3x+b
plug x=3, y=3 (from the point "3,3")
3=2/3*3+b
3=2+b
b=1
y=2/3x+1 is the solution of the line.
the in-equality is
y(?)2/3x+1
plug in -5,5, which is a solution (looking at the graph)
5>-7/3
so use >, and not <
y>2/3x+1 is the equation of the in-equality, now just plug the answer choices in to see that
x=0,y=5 is a solution
x³+2/3x²-2x-4/3 factorizing
Answer:
(x+2/3) (x^2 - 2)
Step-by-step explanation:
First we can seperate the problem
(x^3 + 2/3x^2) + (-2x - 4/3)
We factor x^2 out of the first parenthesis
x^2(x + 2/3) + (-2x - 4/3)
and factor -2 out of the second
x^2 (x+2/3) +-2 (x +2/3)
then we rewrite it as
(x+2/3) (x^2 -2)
-- Gage Millar, alg1/2 tutor
Help please……………………………..
Answer:
Diagram number 3 is not a function.
Step-by-step explanation:
It isn't a function because C goes to 2 different numbers.
Explanation:
For choice (3), the input C maps to more than one output (The values 1 and 3 at the same time). A function must have each input map to one and only one output. So this is why relation (3) is not a function.
The other answer choices (1), (2) and (4) have each input point to exactly one output. So these are functions that can be ruled out.
Please help! Due in two hours!
Answer:
-175.26
Step-by-step explanation:
[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]
OABD is a sector of a circle.
Angle AOB = 80°.
The radius OB = 22 cm.
Work out:
the length OC
The area of triangle OAB
The area of the sector OABD
The area if the segment ABD
90
Step-by-step explanation:
because it has a parallel line
what is 22 over 7 - 2 over 3 divided by 2
W/11+10=10 w/11=0. W=
Answer:
w/11+10=10w/11=0•w=10
is this the correct answer
Answer:
Step-by-step explanation:
correct.
Answer:
see attached
Step-by-step explanation:
The requested plot is only for that portion of the line that exists between the two points shown.
5x - 14 = 3(3x + 6) + 5
Answer:
x= -9.25
Step-by-step explanation:
5x - 14 = 3(3x + 6) + 5
5x - 14 = 9x + 18 + 5.......distribute
-4x = 37.............move values and combine like terms
x= -9.25.............divide both sides by -4
If a cheetah can travel 120 meters in just 4 seconds, then how many meter can it travel in 25 seconds?
Answer:
750 meters
Step-by-step explanation:
120 meters/4 seconds = 30 meters per second
30 meters per second * 25 seconds = 750 meters
(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)
Answer:
x = 750 m
Step-by-step explanation:
Write and solve a equation of ratios:
120 m 4 sec
------------- = -------------
x 25 sec
Inverting this equation yields
x 25 sec
-------------- = -------------
120 m 4 sec
Cross-multiplication yields (4 sec)x = (120 m)(25 sec). This yields:
3000 m-sec
x = -------------------- = 750 meters
4 sec
Note that the same result can be obtained by multiplying (120 m) by (25/4).
What is the slope in other words the answer
Answer:
gradient
Step-by-step explanation:
gradient is the same as steepness and slopes r steep so its gradient
The sum of the interior angles in a polygon is 15,480°. Calculate the number of sides in the regular polygon.
Answer:
88 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides, then
180° (n - 2) = 15480° ( divide both sides by 180° )
n - 2 = 86 ( add 2 to both sides )
n = 88
The number of ways to choose three different pizza toppings from a group of six is called a ?
Answer:
Uh, 16.
Step-by-step explanation:
We need to choose three different toppings. So here we need to find the number of ways in which we can choose three different toppings out off. 16. So a number of ways are takes three at a time, from a total of 16. That is civilians combination. Here are formula for combination is 16 factorial over three factorial into 16 minus three. Factorial this candidate and a 16 factorial over three factorial into 16 minus trees. 13. Authority in factorial, now 16. Factory converted on a 16 in 2 15 into 14 into 13. Factorial over three factorial into 30. In fact, a real as we can see that 13 factorial is common toward denominator and numerator so we can get through this. Now I remaining times are 16 into 15 into 14. Over three in Toto into one has three factories, three in tow, one So calculating this ticket. Find 60 Soviet 56 TVs to select three different topics. Talked to select three different toppings out off 16 on a bizarre
3(2x + 5) + 4(3c - 2)
Answer:
6x+12c+7
Step-by-step explanation:
3(2x+5)+4(3c-2)
3*2x+3*5+4*3c-4*2
6x+15+12c-8
6x+12c+7
Answer:
[tex]12c+6x+7[/tex]
Step-by-step explanation:
Use the distributive property to simplify the expression accordingly:
[tex](6x+15)+(12c-8)[/tex]
[tex]12c+6x+7[/tex]
Solve the equations. 81^x^2=27^x
Answer: 81ײ=27× x = 6
please help me please
5 - 6 - 9 - 8 - 5 - 4 + 5 - 5 -5 -5 - 32 = ?
5 - 6 = -1
-1 - 9 = -10
-10 - 8 = -18
-18 - 5 = -23
-23 - 4 = -27
-27 + 5 = -22
-22 - 5 = -27
-27 -5 = -32
-32 -5 = -37
-37 - 32 = -69
Answer = -69
solve the following equation
d) 0 = 12 + 2 ( m - 8 )
pls pls pls pls plz plz answer steps
[tex] \: \: \: \: \: \: \: \: [/tex]
[tex]m = 2[/tex]
Step-by-step explanation:
[tex]0 = 12 + 2(m - 8)[/tex]
remove the parentheses and distribute 2 through the parentheses[tex]0 = 12 + 2m - 16[/tex]
calculate the difference[tex]0 = - 4 + 2m[/tex]
move the variable to the left hand side and change its sign[tex] - 2m = - 4[/tex]
divide both sides of the equation by -2[tex] = m = 2[/tex]
hope it helps[tex] \: \: \: [/tex]
Answer:
m = 2
Step-by-step explanation:
0 = 12 + 2 ( m - 8 )
→ Expand the brackets
0 = 12 + 2m - 16
→ Add 16 to both sides
16 = 12 + 2m
→ Minus 12 from both sides
4 = 2m
→ Divide both sides by 2
2 = m
A 12 foot fence on the property line casts a 25 foot shadow on the shortest day of the year, and the north side of the house is set back 60 feet from the property line.
Using similar triangles formed by the fence, and the house, the top of which the property line passes, the height of the house can be determined.
The height of the house is 28.8 feet.Reasons:
The given parameters are;
Height of the fence = 12 foot
Length of the shadow cast by the fence = 25 foot
Distance of the house from the property line = 60 feet
The maximum allowable height for the house.
Solution:
Using similar triangles, we have;
[tex]\displaystyle \frac{Height \ of \, fence}{Length \ of \ fence \ shadow} = \mathbf{\frac{Height \ of \, house}{Distance \ of \ house\ from \ property \ line}}[/tex]
Which gives;
[tex]\displaystyle \frac{12}{25} = \mathbf{\frac{Height \ of \, house}{60}}[/tex]
[tex]\displaystyle Height \ of \ house = \frac{12}{25} \times 60 = 28.8[/tex]
The height of the house = 28.8 feet
Learn more here:
https://brainly.com/question/10269775
Please find attached the drawing of the question created with MS Visio, obtained from a similar question online.
someone help me please :D ill give brainliest and 32 points :))
Answer:
Could you please show me the question?
Step-by-step explanation:
can someone help please :)
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
Answer:
(x-7)(x^2-5)
Step-by-step explanation:
how can I solve this
1/2 of 20
Answer:
Just multiply over here
1/2 *20
1/2 * 20/1
20/2
10
answer is 10
Answer:
10
Step-by-step explanation:
multiply (1/2) by 20
10
Denise is buying four birthday cards for $11.16. Sales tax on the four cards is $0.68. Including sales tax, what is the cost of each card?
Answer:
$11.16 - $0.68 = $10.48 - price of four cards without tax
$10.48 : 4 = $2.62 - price of one card without tax
Cheers!
Answer:
the cost of each card including sales tax is 2.79
the cost of each card without sales tax is
11.16-0.68=10.48
10.48÷4=2.62
Step-by-step explanation:
4. Answer a through c
Answer:
Hello is this math i can help you with your answer
100 POINTS
Given Point P(3,4), what is the resulting point after the following transformations?
Translate 3 up and 2 left
Rotation 180° around origin
Reflection over y-axis
Answer:
(1, -7)
Step-by-step explanation:
P(3,4)
3 up ---> y = 4 + 3 = 7
2 left ----> x = 3 - 2 = 1
new point (1, 7)
after 180 rotation around origin
point is (-1, -7)
now reflection over y-axis
(1, -7)
Answer:
[tex](1,-7)[/tex]
Step-by-step explanation:
Refer to the image below