Answer:
1). Y= x² -4x+6
Y = 3x-4
2) X= 5 and x= 2
3).
X= 5
Y= 11
X= 2
Y= 2
Step-by-step explanation:
1).
Y = (x-2)²+2
Y= x² -4x+4+2
Y= x² -4x+6
Y+4= 3x
Y = 3x-4
2).
Y = x² -4x+6
Y = 3x-4
x² -4x+6= 3x-4
X² -7x+10= 0
X²-5x-2x+10= 0
X(x-5)-2(x-5)= 0.
(X-5)(x-2)= 0
X= 5 and x= 2
3). substituting the value of x into the linear equation
Y = 3x-4
X= 5
Y= 3(5)-4
Y= 15-4
Y= 11
Y = 3x-4
X= 2
Y= 3(2)-4
Y= 6-4
Y= 2
-3(2x +5) how to solve this problem
Answer:
Step-by-step explanation:
-3×2x)+(-3×5)
-6x+-15
PLLLLLLLLLLZZZZZZZZZ
Answer:
Hey there!
Donald would have 20x+10 dollars.
20 dollars (number of 20 dollars) + 10 dollars
Answer: 20x + 10
Step-by-step explanation:
20x in this expression means 20 * the number of dollar bills he owns. Each bill is worth twenty dollars. + 10 is simply 10 * 1(the number of 10 dollar bills he owns)
Hope it helps <3
Please answer asap! What is the range of the function y = -|x|? y ≤ 0 x ≤ 0 all real numbers
Answer:
[tex]\huge \boxed{y\leq 0}[/tex]
Step-by-step explanation:
The range of a function are all possible values for y.
[tex]y = -|x|[/tex]
The domain is all real numbers. The value of x can be all real numbers.
The absolute value of a number will always be positive.
The negative sign gets distributed to the absolute value, the output or end result will always be a negative number or zero, the range is less than or equal to 0.
The range of the function is [tex]y\leq 0[/tex]
Given that 0≤β<2π, find all the solutions to the equation 2sin^2β=7sinβ+4.
Answer:
Step-by-step explanation:
2sin²β-7sinβ-4=0
2sin²β-8sin β+1 sin β-4=0
2 sin β(sin β-4)+1(sin β-4)=0
(sin β-4)(2sin β+1)=0
either sin β-4=0
sin β=4 (rejected,as |sin β|≤1)
or
2 sin β+1=0
sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)
β=7π/6,11π/6
−7∘C denotes a temperature of 7∘C below 0∘C, what does 5∘C mean?
Make a story problem for the expression below. Then solve the problem. (n + 15) ÷ 5
Answer:
Bob buys n number of cookies. He goes again and buys 15 more. After that he splits them among 5 friends.
Step-by-step explanation:
Answer:
Sandy buys a number of slices of pizzas from Pizza Hut. She then goes to Marco's Pizza and buys 15 more slices. Sandy goes to a party and splits the pizza slices evenly between 5 friends. How many slices of pizza did she buy from Pizza Hut?
Which is the graph of the linear inequality 2x – 3y < 12?
B
Answer:
C.
Step-by-step explanation:
Given
2x - 3y < 12
Required
Find the graph it represents
we start by solving for the x and y intercepts;
Let x = 0
2x - 3y < 12 becomes
2(0) - 3y < 12
0 - 3y < 12
-3y < 12
Divide both sides by -3
-3y/3 < 12/-3
y > -4
Let y = 0
2x - 3y < 12 becomes
2x - 3(0) < 12
2x - 0 < 12
2x < 12
Divide both sides by 2
2x/2 < 12/2
x < 6
So, we have
x < 6 and y > -4
This implies that the graph is bound by the region where the values of x is less than 6 and the values of y is greater than -4
From the list of given options,only option C answers this question. The dotted lines actually represent inequalities
help but do inorder of operations form
Answer:
29/30
Step-by-step explanation:
Make all denominators equal to 30.
4/5 × 6/6 + 1/2 × 15/15 - 1/3 × 10/10
24/30 + 15/30 - 10/30
Combine.
(24 + 15 - 10)/30
(24 + 5)/30
= 29/30
[tex]\frac{4x6}{5x6}[/tex]Answer:
Step-by-step explanation:
4/5+1/2-1/3
TAKE LCM of denominator
Lcm=5x2x3(as all are prime factors)=30
4x6/5x6
similarly, 1x15/2x15
1x10/3x10
you will get,
[tex]\frac{24+15-10}{30}[/tex]
you will get,
29/30
(/=division sign)....hope i cleared your doubts....pls mark brainliest
If abc=dec b=2x+31 and e=7x-24 x=?
Answer:
x = 11
Step-by-step explanation:
As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that
<A = <D
<C = <C
<B = <E
As both angles B and E are equal to each other, we can equate them
<B = <E
Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:
2x + 31 = 7x - 24
Solve for x:
7x - 2x = 31 +24
5x = 55
x = 11
Answer:
11
Step-by-step explanation:
The two cylinders are similar. Find the surface area of the smaller cylinder. Round your answer to the nearest hundredth.
A. 942.48 cm²
B. 376.99 cm²
C. 565.49 cm²
D. 226.19 cm²
Answer:
D
Step-by-step explanation:
To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula
2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².
if Paul spins this spinner 100 times, approximately how many times will it land on blue? Spinner with three equal sections. One section blue, one section green, and one section red with the arrow pointing at the blue section.
a 25
b 250
c 33
d 333
Answer:
33
Step-by-step explanation:
100 / 3 is approximately equal to 33
Answer:
i think it is .c because 3 goes into about 33.33 times so hope this helps
Step-by-step explanation:
Plz help me 3(x+1)=5+x
Answer:
x=1
Step-by-step explanation:
3x+3=5+x
3x-x+3=5
2x=2
x=1
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 1
▹ Step-by-Step Explanation
3(x + 1) = 5 + x
Distribute
3x + 3 = 5 + x
Move the variable to the left and change the sign
3x - x + 3 = 5
Collect like terms
2x = 5 - 3
Calculate
2x = 2
Final Answer
x = 1
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Determine the value of x. answers: 1) 116° 2) 122° 3) 58° 4) 238°
Answer:
B) 122
Step-by-step explanation:
This is because x will equal 180 - 58
Answer:122
Step-by-step explanation:
simplify the expression (-h^4)^5
when a number is to a power then to another power, the answer is the number to the power TIMES the other power
it should be:
-h^20.
BC is tangent to circle A. Determine the length of AC . ANSWERS: 1) 3 2) 4 3) 5 4) 6
A circle is a curve sketched out by a point moving in a plane. The length of AC in the given figure is 5 units. The correct option is
3.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
In a circle, the angle between the radius and tangent is always equal to 90°. Therefore, we can write that in the given figure ΔABC, the triangle is a right angle triangle with ∠B as the right angle.
Now, for the triangle using the Pythagoras theorem we can write,
AC² = AB² + BC²
AC² = 3² + 4²
AC² = 9 + 16
AC = √25
AC = 5
Hence, the length of AC in the given figure is 5 units.
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Kathryn's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 adult tickets and 11 student tickets for a total of $118. The school took in $156 on the second day by selling 12 adult tickets and 12 student tickets. What is the price of each adult ticket? What is the price of each student ticket?
Answer:
Adult price $5
Student price 8$
Step-by-step explanation:
Hello!
The school sells tickets for the choral performance with different prices depending on the ticket is for an adult or for a student of the school.
If X represents the price of an adult ticket and Y represent the price of a student ticket using the given information you can determine a set of two equations with two unknown values:
Day 1: 6 adult tickets and 11 student tickets for a total of $118
Symbolically: 6X + 11Y= $118
Day 2: 12 adult tickets and 12 student tickets for a total of $156
Symbolically: 12X + 12Y= $156
Step 1
From one of the formulas, clear one of the unknown values:
[tex]12X + 12Y= 156\\12Y= 156- 12X\\Y= \frac{156-12X}{12} \\Y= 13 - X[/tex]
Step 2
Replace the value obtained in step one in the second formula:
[tex]6X + 11Y= 118\\6X + 11(13 - X)= 118\\6X + (11*13) - 11X = 118\\6X -11X + 143= 118\\-5X= 118 - 143\\-5X= -25\\X= 5[/tex]
The ticket price for an adult is $5
Step 3
Using the value of X obtained in step 2, replace in the formula for Y to obtain the ticket price for students:
Y= 13 - X= 13 - 5= $8
I hope this helps!
!!!! PLEASE HELP ME !!!!Find each measure. m<1 m<2 m< 3
Answer:
m angle 1= 45
m angle 2= 76
m angle 3= 80
Step-by-step explanation:
if one inch represents 14 feet how many inches would you use to make a scale drawing of a building that is 199 feet
Answer:
14.21 inches
Step-by-step explanation:
Given
1 inch = 14 feet
Required
Find the equivalent of 199 feet
Write out the given expression;
1 inch = 14 feet
Let x represent the equivalent of 199 feet in inches; Such that:
x = 199 feet
Write out both expressions
1 inch = 14 feet
x = 199 feet
Using cross multiplication; both expressions become
x * 14 feet = 199 feet * 1 inch
Divide both sides by 14 feet
[tex]\frac{x * 14 feet}{14 feet} = \frac{199 feet * 1 inch}{14 feet}[/tex]
[tex]\frac{x * 14}{14} = \frac{199* 1 inch}{14}[/tex]
[tex]\frac{14x}{14} = \frac{199* 1 inch}{14}[/tex]
[tex]x = \frac{199* 1 inch}{14}[/tex]
[tex]x = \frac{199inch}{14}[/tex]
[tex]x = 14.2142857143inch[/tex]
[tex]x = 14.21 inches[/tex] (Approximated)
QUICK 35 POINTS PLUS BRANLIEST. PLEASE ANSWER ALL THE QUESTIONS PROPERLY AND EXPLAIN HOW YOU GOT THEM. TRY TO ANSWER THEM BY TODAY.
THANKYOU
Hope it helps <3
(If it does, please give brainliest, only need one more for rank up :) )
Answer:
2. [tex]18\sqrt{5}[/tex]
3. [tex]52.303...[/tex]
4. [tex]11.608...[/tex]
Step-by-step explanation:
2. Using the Pythagorean Theorem, we can see that [tex]a^2+b^2=c^2[/tex]. Therefore, [tex]90^2+90^2=8100+8100=c^2[/tex]. We know that [tex]8100+8100[/tex] is [tex]16200[/tex]. The square root of [tex]16200[/tex] is [tex]90\sqrt{2}[/tex].
3. Same as before, we use the Pythagorean Theorem. This time, we're calculating [tex]b[/tex] instead of [tex]c[/tex]. This means we have to do [tex]60^2-29.4^2=b^2[/tex], which gives us [tex]3600-864.36[/tex], which equals [tex]2735.64[/tex]. We can put this in decimal form, which would give us [tex]52.303[/tex][tex]...[/tex]
4. This one, we do [tex]15^2-9.5^2[/tex], which would give us [tex]134.75[/tex]. Simplifying this would give us [tex]11.608...[/tex].
Hope this helped! Just remember the Pythagorean Theorem.
5. Points A, B and C are all
the circle.O represents the centre.
Angle AOB = 2x+28 Angle ADB = 3x-70
Calculate the value for x
Answer:
Step-by-step explanation:
angle acb=1/2angle aob=1/2(2x+28)------(anble subtended by an arc at centre is double the angle subtended by it at any other parts of the circle)
angle c+angle d=180....opp angles of a cyclic quad. are supplementry
hence,
x+14+3x-70=180
=>x=64
The value of x from the given figure is 59°.
Given that, points A, B and C are all the circle. O represents the center.
What is circle theorem to relate angle at circumference and central angle?
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Here, Reflection of ∠AOB= 360-(2x+28)
∠ADB=1/2 (Reflection of ∠AOB)
⇒ 3x-70=1/2 (360-(2x+28))
⇒ 3x-70=1/2 (360-2x-28)
⇒ 3x-70=180-x-14
⇒ 3x-70=166-x
⇒ 3x+x=236
⇒ 4x=236
⇒ x=59
Therefore, the value of x from the given figure is 59°.
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A garden hose supplies 36 gallons of water in 3 minutes.Use a table of equivalent ratios to show the garden hose's water flow in gallon per minute and minutes
Answer:
Garden hose water flow in gallons per minute(x:y) = 12:1
Minutes per gallon water flow(y:x) = 1:12
Step-by-step explanation:
Complete question below
A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallons per minute and minutes per gallon.
Let
the garden hose water flow=x
Time of glow=y
x:y=36 gallons : 3 minutes
x/y=36/3
x/y=12/1
x:y=12:1
Therefore, garden hose water flow in gallons per minute is given by
x:y = 12:1
Minutes per gallon water flow
y:x=3:36
y/x=3/36
y/x = 1/12
y:x = 1:12
Therefore, minutes per gallon water flow is given by
y:x = 1:12
Table of equivalent ratio for x:y
36:3
24:2
12:1
Table of equivalent ratio for y:x
3:36
2:24
1:12
Yash brought apples and bananas to a picnic The number of apples was three more than twice the number of beane Tach brought 11 apples to the pionie. How many bananas dd he bring?
Answer:
25 bananas
Step-by-step explanation:
11 apples doubled is 22 then plus 3 in 25 this he brought 25 bananas
The number of bananas that Yash brought is 4 bananas.
It is given that Yash brought apples and bananas to a picnic. The number of apples was three more than twice the number of bananas.
We have to find out that how many bananas did he bring , if number of apple were 11.
What do you mean by linear equation in one variable ?
Linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are integers and x is a variable.
As per the question ;
Tach brought 11 apples to picnic.
Let's assume the number of bananas = x
Number of apple = 11 = 2x + 3
⇒ 11 = 2 x + 3
⇒ 2x = 8
⇒ x = 8 ÷ 2
⇒ x = 4
Thus , the number of bananas that Yash brought is 4 bananas.
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f(x) = x2. What is g(x)?
Answer:
g (x-2) = x
Step-by-step explanation:
Set up the composite result function g (f(x))
Then Evaluate g (f(x)) by substituting in the value of F into G: g (x-2) = (x-2) + 2
finally Combine the opposite terms in (x-2) + 2: add -2 and 2: g(x-2) = x+0: add x and 0: g(x-2) = x
for each graph state whether it’s a function
Answer:
Graph 1, 4, 6 are functions.
Graph 2, 3, 5 are not functions.
Step-by-step explanation:
If graph of a relation pass the vertical line test, then we can say the relation is a function.
In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.
To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.
In graph 1, open circle means the value x=-1 is not include it that.
From the below figure it is clear that:
Graph 1, 4, 6 pass the vertical line test, so they represent functions.
Graph 2, 3, 5 does not pass the vertical line test, so they are not functions.
9. Annie works as a school tutor and a baker. As a tutor, she earns $18 per hour. Last
week she worked x hours as a tutor and her friend paid her $25 to bake a cake.
Write an expression to represent the total amount Annie earned last week.
Type your answer below:
The total amount Annie earned last week 18x+25.
What is work in math ?In conclusion, when a force acts on an object to induce a displacement, labor is done.To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.Annie earns $18 per hour. and she worked x hours .
So, total work = 18 * x = 18x
but she earned some extra cash = 25$
now Annie's total amount with extra cash = 18x + 25
Therefore, The total amount Annie earned last week 18x+25.
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Question 5 (1 point)
(06.02 LC)
Which statement best describes the expression 3y = 8? (1 point)
O 1) 8 divided by 3 times y
O2) 8 times y divided by 3
03) 3 divided by 8 times y
O4) 3 times y divided by 8
Answer:
Step-by-step explanation:
None of these choices is correct.
3y = 8 is an equation, not an expression. It states that "y is 8 divided by 3," which again is an equation.
Answer:
3 times y divided by 8
Step-by-step explanation:
Trying to find the missing segment to the triangle in the attached image. Any help would be appreciated. Thanks.
Answer:
24 unit
Step-by-step explanation:
This question can be solved using concept of basic proportionality theorem,
according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
let there be a triangle ABC
if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then
AD/DB = AE/EC (basic proportionality theorem)
_____________________________________
Similarly in this problem
15/5 = ?/8
3= ?/8
? = 8*3 = 24
Thus. missing segment value is 24 unit.
Need Help Please I'm Out Of Time ;(
Identify three temperatures that are colder than -5°C. Then, using complete sentences, explain how you know that they are colder.
Answer:
-7 , -9 and -10
Step-by-step explanation:
The main temperature is -5°C.
-5 is a negative number so a colder temperature will be a number that is less than -5
substracting this number from -5 will give us a positive number
-5-(-7)= 2-5-(-9)= 4 -5-(-10) = 5Please answer asap + brainly
Answer:
last one is the right answer
Answer:
d.5-eighths of a # plus negative 2 and 5-tenths.
Step-by-step explanation:
Hope i helped you.
Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?
(2, -5)
(6,-5)
(2,-11)
(6.-11)
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Answer:
B(6 , -11)
Step-by-step explanation:
(x-2 , y+3) = (4 , -8)
Compare the x & y co ordinates
x - 2 = 4 ; y + 3 = -8
x = 4 +2 ; y = -8 - 3
x = 6 ; y = -11
B(6 , -11)