Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
Just got back to class after summer, brain needs some refreshing.
Fabric costs $11.99 a yard. Leo buys 4 yards of red fabric and 3 yards of blue fabric. How much does Leo spend on fabric?
Answer: 83.93 dollars
Explanation:
He bought 4+3 = 7 yards total
He spent 7*11.99 = 83.93 dollars
This is assuming that the red and blue fabrics cost the same per yard.
Find n.
3/10 = n/50
PLEASE HELP ME
Answer:
[tex] \frac{3}{10} = \frac{n}{50} \\ \frac{3}{10} \times 50 = n \\ 3\times 5 = n \\ 15 = n \\ thank \: you[/tex]
Please explain this is math homework
Answer:
use math-way. it helps a lot !
Step-by-step explanation:
Find the least number which when divided by 28, 50 and 140 leaves a remainder 7
Answer: 21
Step-by-step explanation:
First we have to find LCM (lowest common multiple) of the given number, i.e 700.
28 = 2 × 2 × 750 = 2 × 5 × 5140 = 2 × 2 × 5 × 7LCM = 2 × 2 × 5 × 5 × 7 = 700
now, let's add 7 to 700
We get the required number as 707
Find the measures of the indicated angles pictures included!!!
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
Simplify
[tex] \frac{2(a - 3)}{(a - 4)( a- 5)} + \frac{ - 1}{( 3 - a)( a- 4)} + \frac{a - 2}{( 5 -a )(a - 3)} [/tex] please solve this!
Help with 4 and 5 I don’t get it lol
Answer:
FIRST !!!!
anything raised to the zero power is equal to 1 (one)
so I think that three is wrong....
as for 4....
3/3 = 1 5/5= 1 x/x = 1 anything divided by itself is one...
so you have 1*1 = 1
as for 5 ... it is the same as for ALL THE STUFF on the TOP
gets cancelled by the SAME items on the BOTTOM ???/??? if they are the same the answer is 1
NOTE if ??? = zero then we have a problem .. you can't divide by zero that is an exception
Step-by-step explanation:
Answer:
When you have the same numerator and denominator in a fraction, it is always equal 1.
The answer is 1.
Step-by-step explanation:
A copy machine makes 44 copies per minute. How long does it take to make 187 copies
Can someone help me with this ?
Can someone help please ?
Answer:
B because Comp A is $60 for sure plus $42.95 per month and Comp B is $25 for sure and $49.95 per month
a:b=2:3
b:c= 5:6
Show that a:c=5:9
Answer:
see explanation
Step-by-step explanation:
Expressing ratios in fractional form, then
[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{6}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{5}{3}[/tex] = [tex]\frac{5}{9}[/tex]
That is a : c = 5 : 9
6-5(2x-3)=4x+7
Solve for x
Answer:
1
Step-by-step explanation:
6 - 5(2x-3) = 4x + 7
-5(2x-3) = 4x + 1
-10x + 15 = 4x + 1
-14x = -14
14x = 14
x = 1
2x^2-y if x=3 and y=8
Answer:
= 10
Step-by-step explanation:
x = 3
y = 8
just replace that x and y with the values given
[tex]2x^{2}[/tex] - y
2 ([tex]3^{2}[/tex]) - 8
2 (9) -8
18 - 8
= 10
What is 2 3/7 (mixed fraction) in proper fraction?
Answer:
17/7
Step-by-step explanation:
You got to multiply 7 and 2 by doing so you will get 14 and you need to add 14 and 3 and you will get 17.
So yeah I hope it helps....
Is 28 an integer, rational, or an irrational number?
Answer:
integer
Step-by-step explanation:
please give brainliest
Answer:
28 is an integer and a rational number because it is a whole number and it is positive. if there is only one choice, choose rational.
Step-by-step explanation:
hope this helps!
What is the mean of the data set: 12. 19, 38, 52. 55 Answer must be to the tenths
place to be counted correct.
[tex]\boxed{\sf Mean=\dfrac{Sum\:of\:terms}{No\:of\:terms}}[/tex]
[tex]\\ \sf\longmapsto Mean=\dfrac{12+19+38+52+55}{5}[/tex]
[tex]\\ \sf\longmapsto Mean=\dfrac{176}{5}[/tex]
[tex]\\ \sf\longmapsto Mean=35.2[/tex]
……………………bsjsjdjdnxnxixixmmdsijsnd dx
Natalie is baking a cake and cookies for her daughter's class party. She needs 1 2/3 cups of milk for the cake and 1/2 cup for the cookies. If she
has 3 cups of milk total, how much will she have left?
Answer:
answer- 0.833 cups
Step-by-step explanation:
Share £18 into the ratio 1:5
What is the solution
y=-x+2
y=-3x-2
Answer: (-2, 4)
Concept:
There are three general ways to solve systems of equations:
Elimination: using addition/subtraction to cancel out variables.Substitution: when two variables appear in both equations and are isolated, they could substitute each other.Graphing: graph the equations to find the intersection for the solution.Here we are going to use substitution since the variable [y] is being isolated in both equations.
Solve:
Given equations
y = -x + 2
y = -3x - 2
Using the method of substitution to combine the equations
-x + 2 = -3x - 2
Add 3x on both sides
-x + 2 + 3x = -3x - 2 + 3x
2x + 2 = -2
Subtract 2 on both sides
2x + 2 - 2 = -2 - 2
2x = -4
Divide 2 on both sides
2x / 2 = -4 / 2
[tex]\boxed{x=-2}[/tex]
Find the y value
y = -x + 2 →→→ Given expression
y = -(-2) + 2 →→→ Substitute values into the expression
y = 2 + 2 →→→ Simplify the value
[tex]\boxed{y=4}[/tex] →→→ SImplify by addition
Hope this helps!! :)
Please let me know if you have any questions
Please help! You don’t have to explain how you got the answer! Tysm.
Helppppppop meeeeeee
Answer:
option b
is the answer
please check it
is -15 an integer and rational number?
Answer:
I guess it would help you
Here's an easy question for points: 5 x 2/6 =
Answer:
Step-by-step explanation:
15
liam had a container of oatmeal that contained 5 1/2 cups of oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. How many cups of oatmeal that Liam had left in the container at the end of the five-day week
Answer:
3 5/18 cups of oatmeal are left in the container.
Step-by-step explanation:
4/9 times 5 = 20/9
5 1/2 = 11/2
11/2 - 20/9 = 99/18 - 40/18
= 59/18
= 3 5/18
In a geometric sequence each term is positive, the first term is 4 and the third term is 9.
What is the sum of the first four terms?
Answer:
4 _____ 9
the geometric sequence is the addition of 2.5 to every number until the specific amount you are to get
4+2.5=6.5 that is the second term
if I then add 2.5 to 6.5it will give me 9 which is the third term but we are asked to find the sum of the first 4terms so 9+2.5=11.5
if we are to add 4,6.5,9 and 11.5 it would give me =31 which is the final answer.
hope this helps.
Find the x-intercept and y-intercept for the graph of 27x - 18y = 54
A.
x-intercept = 0.5, y-intercept = 0.3
B.
x-intercept = 2, y-intercept = -3
C.
x-intercept = 3, y-intercept = -2
D.
x-intercept = 4, y-intercept = 3
Answer:
x-int=0.5 & y-int=3.4 you option are wrong
Select the correct answer. Which statement best defines a circle?
A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center
B. the set of all points in a plane that are the same distance from a given point called the center
C. the set of all points that are the same distance from a given point called the center
D. points in a plane that surround a given point called the center
Answer:
A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center. hope this helps
Step-by-step explanation:
- Zombie
The statement best defines a circle is A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center.
What is a circle?A circle is defined as a shape consisting of all points in a plane that are given the same distance from a given point called the center.
A circle can be characterized by its center's location and its radius's length.
The statement best defines a circle is A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center.
Learn more about circle here:
https://brainly.com/question/10165274
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Wallace writes the number 72,204 in a
place-value chart. Select the places that
will be filled on the chart.
Ones
Tens
Thousands
Ten thousands
Hundred thousands
Can anyone help
looks like the answer C. Thousands.
In the number 72,204 the ones, tens, thousand, and ten thousand will be 4,0,2, and 7 respectively.
What are digits?In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.
A digit is a part of a set that, when combined, makes up a numeration system.
For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.
The place value of a general abcd digit is given by
d = ones
c = tens
b = hundreds
a = thousands
So,
In the given number 72,204
4 = ones
0 = tens
2 = hundreds
2 = thousands
7 = hundred thousand
Hence "In the number 72,204 the ones, tens, thousand, and ten thousand will be 4,0,2, and 7 respectively".
To learn more about digits,
https://brainly.com/question/10913044
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