Answer:
x = 4,-9
Step-by-step explanation:
This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.
First, separate two equations. Let r be the roots of equation, therefore:
[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]
I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.
[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]
Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.
The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.
___________________
Let me know in the comment if you have any questions.
What are the outliers for 7,1,9,9,12,25,9,7,7,
Kyle was playing archery and shot 20 arrows. 30% of them hit the bullseye. how many of the arrows hit the bullseye?
Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.
The length of the compass so that ΔXYZ is isosceles and not equilateral could be;
Option C; between ¹/₂XY and XY
Option E; greater than XY
We are told that;
Student has drawn a line XY
Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.
Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.
Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.
The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.
Finally, the options that apply are Options C and E.
Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169
use substitution method (y = 2x-10 (2y=x-8
Answer:
(4, -2)
Step-by-step explanation:
Use the expression for y given by the first equation to substitute for y in the second equation.
2(2x -10) = x -8 . . . substitute for y
4x -20 = x -8 . . . . . eliminate parentheses
3x = 12 . . . . . . . . add 20-x
x = 4 . . . . . . . . .divide by 3
y = 2(4) -10 = -2 . . . substitute for x in the first equation
The solution is (x, y) = (4, -2).
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
We've been given to find out the values of x & y from the two given linear equations by substitution method.
Here we have,
y = 2x - 10 - - - - - (1) 2y = x - 8 - - - - - (2)As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,
[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]
[tex]:\implies\tt{4x - 20 = x - 8}[/tex]
[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]
[tex]:\implies\tt{3x = 12}[/tex]
[tex]:\implies\tt{x = \frac{12}{3} }[/tex]
[tex]:\implies\tt{x = 4}[/tex]
Placing x = 4 in equation (1) we get,
[tex]:\implies\tt{y = 2x - 10}[/tex]
[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]
[tex]:\implies\tt{y = 8 - 10}[/tex]
[tex]:\implies\tt{y = - 2}[/tex]
The solution of the given system for linear equation is (x,y) = (4,-2)The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20∘C20, degrees, start text, C, end text. Lainey tried to swim on Monday and Thursday (which was 333 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30^\circ\text{C}30∘C30, degrees, start text, C, end text on Monday, but decreased at a constant rate in the next 333 days.
Answer:
Inequality: 30 - 3d ≤ 20
Rate of decrease from Monday to Thursday: greater than or equal to 10/3 degrees Celsius per day
Step-by-step explanation:
Translate theconditions into mathematical terms:
HIgh temperature on Monday = T₀ = 30°C.
The temperature decrease at a constant rate in the next 3 days. Call d such rate, so T₃ = T₀ - 3d = 30 - 3d
That the pool is open when the high temperature is higher than 20°C means that, if the pool is closed, then the temperature is less than or equal to (≤) 20°C:
30 - 3d ≤ 20
And that is the requested inequality.
From that, you can solve for the rate of temperature decrease, d:
Add 3d to both sides: 30 ≤ 20 + 3d
Subtract 20 from both sides: 10 ≤ 3d
Divide both sides by 3: 10/3 ≤ d
Apply symmetry property: d ≥ 10/3
Hence, the rate of temperature decrease is greater than or equal to 10/3 degrees Celsius per day, from Monday to Thursday.
Answer:
30 - 3d ≤ 20
d≥10/3
Step-by-step explanation:
triplicate ratio of 2:1 is
Answer:
8/27
Step-by-step explanation:
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27
HAVE A GREAT DAY!
Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.
Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8
Answer:
Step-by-step explanation:
i think that it is either -7 - -8 or -7 + 8 or -7+-8.
Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are
Expression a = 7 - 8
Expression b = -8 - (-7)
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
For example, x + y is an expression, where x and y are terms having an addition operator in between.
Given,
Greg records deposit of $7
He records purchase of $8 b
Total change = 7 + (-8)
Expression a = 7 - 8
Expression b = -8 - (-7)
Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.
Learn more about expression here:
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Darin bought a new pair of soccer cleats for $59.99. The sales tax is 6.5%. What is the total cost the Darin will pay?
Answer: $63.89
Step-by-step explanation:
In order to find the answer, you have to add the amount charged for the soccer cleats plus the amount of the sales tax.
[tex]59.99 + .065(59.99) = $63.889[/tex]
$63.889 rounded is equal to: $63.89F(x)=-2x+4 g(x)= -2x^3 -3
find f(4) and g(-3)
simplify as much as possible
Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that represents Kali’s earnings for the week is shown.
2 (8 x) + 5 (box)
Which number should go in the box to complete the expression?
2
5
6
8
Answer:
8
Step-by-step explanation:
Consider the numbers 54.162 and 5,416.2. Which statements accurately reflect the relationship between the "6" in each number?
Select two (2) that apply.
The 6 in 54.162 has a greater value than the 6 in 5,416.2
The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
a
The value of the 6 in 5,416.2 is 10 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 10 times greater than the value of the 6 in 5, 416.2.
The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 100 times greater than the value of the 6 in 5,416.2.
Answer:
1) The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
2) The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
Step-by-step explanation:
1) 0.06 times 100 equals 6
2) 0.06 < 6
The diagrams may not be drawn to scale. Find the value of y. AC is a straight line. А 56° yº B 123° су
Please Help
Therefore, the answer is y = 67°.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Solution:
Note that:
Interior angles of a triangle sum up to 180°This means that...
56 + y + (180 - 123) = 180
Let's simplify the equation to find y.
=> 56 + y + (180 - 123) = 180
Simplify the LHS.
=> 56 + y + (57) = 180
=> 113 + y = 180
Subtract 113 both sides.
=> 113 - 113 + y = 180 - 113
=> y = 180 - 113 = 67°
Complete all 10 problems
Answer:
11. 10+2r 12.-7v+7 13.1-2b 14. 5n+10 15. 12v 16.-12n 17. 0 18. -4n+10 19. 5b+9 20. 5v-8
Step-by-step explanation:
Sorry I don't have much time. I'll just send you a tip
If you complete all 10 problems, it's a lot of work... you shouldn't send just 5 points or everyone's not going to answer this.
You're lucky because I just answered this. Thanks!
:)
At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?
Answer:
The temperature decreased by 43 degrees
-43
Step-by-step explanation:
Difference means subtraction
37 - (-6) = -43
I hope this helps!
solve 3x/7= 1/2
pls show working out thanks <3
tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?
Answer: Tyson is 188 centimetres tall.
How do I Solve for 5x+2=180
(4z^7+1/z^7)^2 how do i solve this?
Answer:
if i am correct this is the formula you asked?
[tex](4z^7+\frac{1}{z}^7)^2[/tex]
Step-by-step explanation:
the answer is
[tex](\frac{(4z^{14} +1)^2}{z^{14} } )[/tex]
if i put the wrong equation tell me so i can do it again
:)
6) There are 350 calories in
cups of spaghetti. How
many calories are in two cups?
Working With Food
a √(x^2-n/m)= a^2/b make x subject
[tex]\sqrt{x^2 -\dfrac nm} = \dfrac{a^2}b\\\\\implies x^2 - \dfrac nm = \dfrac{a^4}{b^2}\\\\\implies x^2 = \dfrac{a^4}{b^2} + \dfrac nm}\\\\\implies x = \pm \sqrt{ \dfrac{a^4}{b^2} + \dfrac nm}}[/tex]
can someone help me pls
Answer:
i think you add them not sure...
Step-by-step explanation:
40+44+44+??
ok?
Answer:
x=88°
x-44°=88°-44°=44°
Step-by-step explanation:
angle A+ angle B+angle C=180°
48°+x-44°+x°=180°
=48°-44°+x°+x°=180°
=4°+2x°=180°
=4°-4°+2x°=180°-4°
=2x°=176°
=2x°/2=176°/2
=x°=88°
x°-44°=88°-44°
=x°-44°=44°
Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.
Answer:
20%
43*0.8=34.4
Hope This Helps!!!
HOLA necesito ayuda... como puedo combertir 50% en fraccion y decimal. Y como combertir 25% en fraccion y decimal
Answer:
Step-by-step explanation:
50/100 = 1/2 or 0.5
25/100 = 1/4 or 0.25
Is {1, 3, 5} a subset of the set of odd integers?
Answer: Yes
Step-by-step explanation:
The set of odd integers is all odd numbers with no decimal places after them. This includes 1, 3, 5, 7, 9, 11, 13 (etc.) The numbers 1, 3, and 5 all fall within this set, making the set {1, 3, 5} a subset of the set of all odd integers.
the sum of two consecurivenodd numbers is twenty four find the numbers
Answer:
the numbers are (11,13)
A store Is having sale on jelly beans and almonds. For 2 pounds of jelly beans and 12 pounds of almonds, the total cost Is $23. For 5 pounds of jelly beans and
3 pounds of almonds, the total cost Is $17. Find the cost for each pound of jelly beans and each pound of almonds.
Cost
for each pound of Jelly beans: $[]
x 5
Ratio: 2/23 : 1/x
x is $11.5
So 1 pound of jelly beans cost $11.5
3/17 : 1/x
x is 5.67
So 1 pound of almonds cost $5.67
Answer:
Jellybeans are $2.25 per pound
Almonds are $1.25 per pound
Step-by-step explanation:
Let x = jelly beans Let y = almonds
Equation 1
5x + 3y = 15
Equation 2
2x + 6y = 12
Multiply Equation 1 by negative 2 to give
-10x - 6y = -30
Add this to Equation 2 to eliminate y
-10x - 6y = -30 2x + 6y = 12
The y is eliminated leaving
-8x = -18
Divide both sides by negative 8 to give
x = 2.25
Substitute this value back into Equation 2 to solve for y
2x + 6y = 12 2(2.25) + 6y =12 . 4.50 + 6y = 12
Subtract 4.50 from both sides of the equation to give
6y = 7.50
Divide both sides by 6 to solve for y
y = 7.50/6
y= 1.25
my homework:
Write two expressions that will never return the same
output. Use x as the variable in each expression.
my way of saying it:
write 2 equations with x included that will never equal the same thing no matter what x is
Answer:
x² * -1/2,
x² + 3
Step-by-step explanation:
The first exprsession always returns a positive number for the square but ends up being negative after the multiplication no matter the inputted values. The second one is always positive.
Two expressions that will never return the same output are 2x - 1 and 2x - 3
How to determine the expressions?Assume the expressions are linear functions
A linear function is represented as:
y = mx + c
For the expressions to have different outputs, both expressions must have the same slope but different y-intercepts
Take for instance 2x - 1 and 2x - 3
Hence, the two expressions that will never return the same output are 2x - 1 and 2x - 3
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Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.
Answer:
121 inches
Step-by-step explanation:
See the attached diagram. We can form a right triangle as shown. The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height. Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.
Leo's hair is longer than Wes's hair. Wes's hair is longer than Ella's hair. Whose hair is longer
Answer:
Leo
Step-by-step explanation:
Leo > Wes
Wes > Ella
Leo > Wes > Ella
Answer:
Leo's hair is longer than both Wes's and Ella's hair.
Step-by-step explanation:
Leo's hair> Wes's hair>Ella's hair
A 10-foot board is reduced in a 4-foot board. What is the percent decrease in length?