Answer:
The smallest solution is x=-1
Step-by-step explanation:
Quadratic Equation
We have:
[tex]f(x)=2x+1[/tex]
[tex]g(x)=-(x-1)^2+3[/tex]
We'll find the solutions of f(x)=g(x), or:
[tex]2x+1=-(x-1)^2+3[/tex]
Operating:
[tex]2x+1=-(x^2-2x+1)+3[/tex]
[tex]2x+1=-x^2+2x-1+3[/tex]
Rearranging all terms on the left side:
[tex]2x+1+x^2-2x+1-3=0[/tex]
Simplifying:
[tex]x^2-1=0[/tex]
Since the term with the x is missing, we can solve for x:
[tex]x^2=1\qquad\Rightarrow x=\sqrt{1}=\pm 1[/tex]
There are two solutions:
x=1, x=-1
The smallest solution is x=-1
PLEasEE help me...
i need
an equation with the solution of x=5.
a equation with the solution of 3/2 (1.5)
an equation with the solution of -2
thank you
Answer:
3x + 3 = x + 13
y=1.5x−6.5,
Step-by-step explanation:
substitute the number in for the first two
what is the midpoint between point A and B
Answer: (-1,4) is the answer
The x values of a function is the output true or false
Answer: False
Explanation:
X is input, y is output
Find x
8(x-27)+49=87+28x
Answer:
x = -12.7
Step-by-step explanation:
[tex]8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}[/tex]
Hope this helps.
Answer:
x=-127/10 or x= -12.7
Step-by-step explanation:
8(x−27)+49=87+28x
Step 1: Simplify both sides of the equation.
8(x−27)+49=87+28x
(8)(x)+(8)(−27)+49=87+28x(Distribute)
8x+−216+49=87+28x
(8x)+(−216+49)=28x+87(Combine Like Terms)
8x+−167=28x+87
8x−167=28x+87
Step 2: Subtract 28x from both sides.
8x−167−28x=28x+87−28x
−20x−167=87
Step 3: Add 167 to both sides.
−20x−167+167=87+167
−20x=254
Step 4: Divide both sides by -20.
−20x/−20
=
254/−20
x=
−127/10
Lynn is making a square picure frame as a gift for her mothers birthday. Lynn would like for the frame to have to an area of 48 inches squared. She also wants the side lengths to be integers.
Part A: Is it possible for Lynn to create a square picture frame with an area of 48 inches sqaured? Yes or No? Support your answer using mathimatical reasoning
Part B: If lynn choses a different sqaure shaped frame, what is an alternative area of that frame that would have integer side lengths? Support your answer using mathimatical reasoning
Answer:
1)The answer is no
2)48 7 6 = 8. 54 7 6 = 9. 60 + 6
Step-by-step explanation:
1) because if you add it a lot of times you will get a bad answer. But if you do the math like this 48 7 6 = 8. 54 7 6 = 9. 60 + 6.
2) well 48 7 6 = 8. 54 7 6 = 9. 60 + 6= 75.6 right. So the picture frame is 5 inches
don't forget to make me brainliest
Answer:
1)The answer is no
2)48 7 6 = 8. 54 7 6 = 9. 60 + 6
Step-by-step explanation:
1) because if you add it a lot of times you will get a bad answer. But if you do the math like this 48 7 6 = 8. 54 7 6 = 9. 60 + 6.
2) well 48 7 6 = 8. 54 7 6 = 9. 60 + 6= 75.6 right. So the picture frame is 5 inches
Step-by-step explanation:
Beginning at the origin, how far do you travel along the x-axis when plotting the point below?
(6, 40)
Answer:
6 units to the right
Step-by-step explanation:
Hope this helps!
Pythagorean Therom.What is the length of segment AB?
Answer:
A square + B square = C square
Step-by-step explanation:
In the figure below, lines m and n are parallel:
In the diagram shown, 27 measures 97 degrees. The measure of 28 is
degrees?
Answer:
the measure of angle 8 is 83 degrees
Step-by-step explanation:
Is -6 greater than, less than, of equal too -4
Answer:
-6 in less than -4.
Answer:
-6 less than -4
Step-by-step explanation:
-6 is less because on the number line it will look like it's before -4
Hope this helps!!!
A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus. 65% of the 800 students at North High School ride the bus. How many students ride the bus? 100 multiplied by is equal to 800. 65 multiplied by is equal to . out of students ride the bus.
Answer:
answer one is 8
answer two is 8
answer three is 520
answer four is 520
answer five is 800
Step-by-step explanation:
There are 520 students out of 800 ride the bus,
65% of 800 is 520,
100 multiplied by 8 is 800.
What are ratios and proportions?The majority of the explanations for ratios and proportions use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
Given,
1: There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.
let x student out of 800 rides the bus
so both conditions 65/100 and x/800 are in proportions,
65/100 = x/800
x = 800*65/100
x = 520
2: 65% of the 800 students at North High School ride the bus.
65% of 800 = 65/100 x 800
65% of 800 = 520
3: 100 multiplied by is equal to 800.
let x multiplied by 100 is 800
x*100 = 800
x = 800/100
x = 8
Hence 520 students out of 800 ride the bus,
65% of 800 is 520,
100 multiplied by 8 is 800.
Learn more about ratios and proportions;
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check all that apply ... 50 points for brainliest answer !!
(x^(3-6))^2 = (x^-3)^2
x^3*2+x^-6*2 = x^6+x^-12
when the numbers are just next to each other (ex. x²x³) you just ADD the exponents and you get (in this case x^6)when the numbers and exponents are in and out of parentheses (ex. (x³)²) you MULTIPLY the exponents (in this case you get x^6)when you have both, you solve what is IN the parentheses (ex. (x²x³)²) first, making the equation (ex. (x^6)²) and then you multiply the exponent by 2 (ex. (x^12) and get the answer. NOTE - ^ means to the powerThe second from the top, and the second to last expressions should be the answer
Hope this helps!
22. Part-Time Job
You work at a grocery store part-time. You estimate that you spend three-fifths of your time stocking shelves. You work 20 hours each week. How many hours of your work week do you spend stocking shelves?
Answer: 12
Step-by-step explanation:
You spend 20 hours working at a grocery store each week. You spend 3/5 of that time stocking shelves. You need to find out what 3/5 of 20 is.
Step 1: Turn 20 into a fraction
20 = 20/1
Step 2: Multiply
3/5 x 20/1 = 60/5
Step 3: Simplify
60/5 = 12
.
3. Ada 7 to 3 times of a number will
give you 66 if that number is a
9
Answer:
Step-by-step explanation:
Let the no. be x
3 times the no. will be 3x
adding 7 to 3 times the no. will be 3x + 7
the result is 66 so it will be 3x + 7 = 66
Hope this helps
plz mark as brainliest!!!!!
Does anyone know this?? Tysm
Answer:
D
Step-by-step explanation:
hope this helps
4÷6\7 blank 4
I have to figure out if it is < > =
Answer:
<
Step-by-step explanation:
because 4/6/7 is less than 0
Answer:
2/21 < 4
Step-by-step explanation:
Lets break this up
4/6=2/3
2/3 / 7 = 2/3 * 1/7
2/21
The Martinez family is traveling to a play in Richmond. A round trip train ticket costs $8.00. Children under the age of 7 travel for half price. ($4.00) Tickets for the play are $14.00 for an adult and $6.00 for a child. Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas. Ricky and Ramona are 12 years old. Thomas is 6 years old. How much did the Martinez family spend for the train ride and play tickets?
Answer: The Martinex family spent $ 82 for train ride and play tickets.
Step-by-step explanation:
Round trip train cost = $ 8.00
For children it cost $ 4.00.
For adult, ticket for play costs= $ 14.00
For children , ticket for play costs= $ 6.00
Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas.
2 adults and 3 children ( only one of them is under 7.)
For train we consider only 1 as child rest as adult.
Train cost = 4 x($ 8.00)+ 1 x ($ 4.00)
= $ 32+4 = $36
For play , total cost = 2 x ( $ 14.00) + 3 x ($6)
= $(28+18)
= $ 46
Total spending ( combined) = $36+$ 46
= $82
So, the Martinex family spent $ 82 for train ride and play tickets.
the sum of three consecutive odd integers is 57. what are the three integers
Answer:
17,19,21
Step-by-step explanation:
let the first odd number be "x"
formular : (x)+(x+2)+(x+4).
3x+6=57
3x=57-6
3x=51
x=51/3
x=17
apply the formular.
17,(17+2),(17+4)
17,19,21.
Nicole wants to buy a charm bracelet. Summerfield Fine Jewelry charges $26 per charm, plus $19 for the bracelet. Flynn Jewelers, in contrast, charges $27 per charm and $11 for the bracelet. If Nicole wants to add a certain number of charms to her bracelet, the cost will be the same at either jewelry shop. How many charms would that be? What would the total cost of the bracelet be?
Answer:
There are 8 number of charms
Total cost = $227
Step-by-step explanation:
Let
Number of charms = c
Summerfield Fine Jewelry charges $26 per charm, plus $19 for the bracelet.
26c + 19
Flynn Jewelers charges $27 per charm and $11 for the bracelet
27c + 11
How many charms would that be ?
Equate the cost at both jewelry shop
26c + 19 = 27c + 11
Collect like terms
26c - 27c = 11 - 19
-c = - 8
c = 8
There are 8 number of charms
What would the total cost of the bracelet be?
Using any of the jewelry shop cost
Flynn Jewelers cost
= 27c + 11
= 27(8) + 11
= 216 + 11
= 227
Total cost = $227
ethan planted a tree that was 1.85 meters tall. several year later the tree is 5.30 meters tall
write the equation of the line that is parallel to y=-6x+-8 that passes through (-8,8)
Answer:
y=-6x-40
Step-by-step explanation:
Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.
What is the angle measurement for A, B, and F. (Make sure they are degrees)
Can you help me with this math question?
A = 42°
B= 23°
F = 115°
Step-by-step explanation:
The required measures of the three angles in triangle ABF are A = 23°, B = 42°, and F = 115°.
What are Alternate Interior Angles?Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines
Given that Lines AB and CD are parallel.
To determine the measures of the three angles in triangle ABF.
For finding ∠F,
∠CDF = 180° - 157° = 23°
∠F = 180° - ∠C - ∠CDF
∠F = 180° - 42° - 23°
∠F = 115°
However, if a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.
So ∠A = ∠CDF = 23°
And ∠B = ∠C = 42°
Thus, the required measures of the three angles in triangle ABF are A = 23°, B = 42°, and F = 115°.
Learn more about Alternate Interior Angles here:
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If y varies drectly with x
and y= 4.5 when x= 2.5,
what is y when x= 12?
n is a positive integer. (i) Explain why n(n - 1) must be an even number.
Answer:
Since the equation is n(n-1) where n is even, (n-1) will result to an odd number and when multiplied the answer with n( an even number), this will result to an EVEN NUMBER. Therefore, in any number that n can substitute, whether even or odd, the answer will always result to an even number
Step-by-step explanation:
Name the longest and shortest side in the triangle.
Answer:
the answer is C Because the lm is the long side and mn is the short side
NEED HELP ASAP!
Which represents the symbolic notation of the compound statement below?
“Memorial Day is in July or parallel lines intersect.”
Answer:
Option (A)
Step-by-step explanation:
Statement 'p':
"Memorial Day is in July"
Statement 'q':
"Parallel lines intersect"
Since both the statement are joined by the 'OR',
Statements p and q will be joined by disjunction represented by the sign (∧).
Therefore, two statements will be represented as,
p ∧ q
Option (A) will be the correct option.
PLEASE HELP ME ANSWER DIRECTIONS ARE IN THE PIC PLEASE HELP ASAP!
Please help
8 square root 5 minus square root 45
Answer:
[tex]5 \sqrt{5 \: } is \: \: the \: \: answer \: \: of \: \: this \: \: question[/tex]
write the nature of roots of quadratic equation 4x square +4 root3x + 3=0
Answer:
yes right now because dont unable to ask you.
How is 9.746 x 1013 written in standard form?
Answer:
9872.698 is 9.746 x 1013 in standard form
If Mark takes 7 hours to paint a house and Hanna takes 5 hours to paint the same house, how much time will it take both of them to paint the house? Please explain!
Answer:
2 hours and 42 minutes
Step-by-step explanation:
we can see that both people are painting the same house, however 1 person goes faster than the other one
lets start by putting our numbers into fractions then finding a like value. 35 in this case. 1/7 equals 5/35 and 1/5 equals 7/35 now we add these together and get 13/35. our next step is to flip this to 35/13 and take put any whole numbers. in this case 2 whole numbers can be made
leaving
9/13
(0.69)
converting this to minutes is 42 minutes.