Answer:
[tex] {y}^{2} - 9 = 0[/tex]
Step-by-step explanation:
as both 3 and - 3 are possible values of y;
[tex]y = 3 \: or \: y = - 3[/tex]
[tex]y - 3 = 0 \: or \: y + 3 = 0[/tex]
therefore;
[tex](y - 3)(y + 3) = 0[/tex]
by expanding;
[tex] {y}^{2} - {3}^{2} = 0[/tex]
[tex] {y }^{2} - 9 = 0[/tex]
Jenny earns a 77 on her most recent test. Jenny's score is no less than 5 points greater than 4/5 of Terrance's score. If t represents Terrance's score, which inequality represents the situation?
Answer:
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80 points
Question 1(Multiple Choice Worth 4 points)
(07.01)
Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?
{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
Question 2(Multiple Choice Worth 5 points)
(07.04)
Fraction 3 over 4x = Fraction 1 over 5. x = ___?
3Fraction 3 over 4
Fraction 11 over 20
Fraction 4 over 15
Fraction 3 over 20
Question 3(Multiple Choice Worth 5 points)
(07.03)
Jen bought a cinnamon bun for $3.42 and a giant candy cane for $5.76. She then used the rest of her money to buy a notebook. She spent a total of $12.83. How much money did Jen spend on the notebook?
$9.41
$7.07
$3.65
$2.34
Question 4(Multiple Choice Worth 4 points)
(07.03)
Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game. Bobbi earned 6 points and Kate earned 3 points. Which of the following equations can be used to determine how many points Rebecca earned?
6 + 3 + n = 12
3x + 6 = 12
6 + 3 = 12 + n
6x + 3 = 12
Question 5 (Essay Worth 6 points)
(07.04)
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Question 6 (Essay Worth 6 points)
(07.02)
Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Larry has earned Saturday and Sunday.
Part B: Larry was able to walk 4 more than twice as many dogs as his friend Kyle. Write an algebraic expression to represent the number of dogs Larry walked compared with Kyle.
I already answered 3 and 4
Answer step-by-step explanation:
solution set is { 3,4 }
4/15
3.65
n=9
5x + 4 < 29
5x < 29 - 4
5x < 25
x < 25/5
x < 5
solution set is { 3,4 }
Simple math
1. 3.42 + 5.76 = 9.18
2. 12.83 - 9.18 = 3.65
3.65 would be the cost of the notebook Jen bought
Given that Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game.
If n is the unknown point made by Rebecca then we get
total = 12
Bobbi earned = 6 points
Kate earned = 3 points
Total = 6+3+n =12
So answer is
6+3+n=12
n=9
I guess that this would work for these Part A.....let x be the amount he earned on Sunday.....so
Amount earned on Saturday + amount earned Sunday =
11 + x =
Represents the total amount he earned
Part B
Let N be the number of dogs that Kyle walked
Then, Larry walked 2N + 4 dogs
Then you can also do.....
Anything given that is not a definite number and has phrases like "does not know", "is looking for" will most likely indicate that it is the variable. We can represent the no. of desserts with the variable x like most equations do.
An expression representing how many strawberries will be needed in x desserts: 4x The variable "x" represents the number of desserts Heather will make.
In part B, we are given the ounces of strawberries Heather will be using. With the expression above, we can make an equation out of it. 4x = 24 With "x" of desserts, Heather is making, all we have to do is solve for the value of "x" to find the no. of desserts she will make with 24 ounces of strawberries. Divide both sides by 4. x = 6 She can make 6 desserts with 24 ounces of strawberries.
1/4 of 6 feet is how many inches
Answer:
18 inches
Step-by-step explanation:
1 ft = 12 in
6 ft = ? in
Set up an equation to convert 6 feet into inches
Variable x = number of inches
1 ft/12 in = 6ft/x in
Cross multiply (feel free to ignore units for now so it doesn't get in the way of your calculations)
1 × x = 12 × 6
1x = 72
x = 72 inches
6 feet = 72 inches so replace 6 feet with 72 inches
Now let's find 1/4 of 72 inches
Set up another equation to solve
Variable y = a fourth of seventy two inches
1/4 = y/72
Cross multiply
1 × 72 = 4 × y
72 = 4y
Divide both sides by 4 to isolate variable y
72 ÷ 4 = 4y ÷ 4
18 = 1y
18 = y
Answer:
I know I already said this but
18 inches
Step-by-step explanation:
:)) have a great day!
I NEED HELP ASP. IT IS SO HARD
Answer:
b
Step-by-step explanation:
What are the coordinate pairs of this??
Answer:
A is (-4,-3) and B is (6,-5)
Step-by-step explanation:
a piece of wire 17m long stretched from the top a flagpole to point p on the ground if p is8m from the pole how tall is the pole
Answer:
Step-by-step explanation:
By the Pythagorean Theorem
17^2=8^2+h^2
h^2=17^2-8^2
h^2=289-64
h^2=225
h=15 meters
3. What are the intersection points of the line whose equation is y=3x +3 and the
circle whose equation is (x - 2)² + y2 = 25?
Answer:
(-2 , -3) and (0.6 , 4.8)
Step-by-step explanation:
y=3x +3
(x - 2)² + y² = 25
(x - 2)² + (3x +3)² = 25
x²-4x+4+9x²+18x+9-25=0
10x²+14x-12=0
5x²+7x-6=0
(x+2)(5x-3)=0
x = -2 or x = 3/5 (-0.6)
y = -3 or y = 4 4/5 (4.8)
can someone help find x, y, and z
Answer:
Step-by-step explanation:
x^2=13^2-12^2
x^2=25
x=5
(sin90)/13=(sin(90-A))/5
sin(90-A)=5/13
90-A=arcsin(5/13)
A=90-arcsin(5/13)
tan(90-arcsin(5/13))=5/y
y=5/(tan(90-arcsin(5/13))
y=25/12
z^2=(25/12)^2+5^2
z=65/12
(x,y,z)=(5, 25/12, 65/12)
During a sprint, a basketball player is traveling at +3 m/s. Four seconds later, the player is traveling at –5 m/s. The average acceleration of the basketball player over the last 4 seconds is:
Answer:
the average acceleration of the basketball player over the last 4 seconds is 0.5 m/sec^2
Step-by-step explanation:
The computation of the average acceleration is shown below:
= Change in velocity ÷ change in time
= 5 - 3 ÷ 4
= 2 ÷ 4
= 0.5 m/sec ^2
Hence, the average acceleration of the basketball player over the last 4 seconds is 0.5 m/sec^2
Type the missing number in this sequence: 1, 2, 4, 8,
Answer:
16
Explanation:
what comes next is 16
for the function: y=2^x
q/19 < 4
pls be correct if you type it !!!!
Answer:
q<76
Step-by-step explanation:
hope this is the answer you were looking for!
Work out the volume of the cone, giving your answer
to 3 significant figures.
Answer:
V = 1010 sq cm. to 3 significant figures
Step-by-step explanation:
V = [tex]\frac{1}{3} pi 8^{2} (15)[/tex]
= [tex]\frac{\pi 64(15)}{3}[/tex]
= 1005.309649,,,
V = 1010 sq cm. to 3 significant figures
Find the smallest number by which 1250 must be multiplied to obtain perfect square
Answer:
2
Step-by-step explanation:
2 x 1250 = 2500
the perfect square for 2500 is 50:
[tex]\sqrt{2500} = 50[/tex]
What are the solutions of this quadratic equation? -3x2 + 1 = 3x - 2
The answer is B.............,..,,.....
The solutions of the quadratic equation[tex]-3x^2 + 1 = 3x - 2[/tex] are -1/3 and 1.
To solve this equation, we can use the quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
In this case, the coefficients are a = -3, b = 3, and c = -2. Substituting these values into the quadratic formula, we get:
[tex]x = \dfrac{(-3 \pm \sqrt{3^2 - 4 \cdot -3 \cdot -2})}{2 \cdot -3}[/tex]
[tex]x = \dfrac{(-3 \pm \sqrt{27 + 24})}{-6}[/tex]
[tex]x &= \dfrac{(-3 \pm \sqrt{51})}{-6} \\x&= \dfrac{(-3 \pm 3\sqrt{7})}{-6}[/tex]
[tex]x = -1/3 or 1[/tex]
Therefore, the solutions of the quadratic equation are -1/3 and 1.
Here is a breakdown of the steps involved in solving for the solutions of the quadratic equation:
We are given the quadratic equation [tex]-3x^2 + 1 = 3x - 2[/tex]
We can identify the coefficients a, b, and c.
We can substitute these values into the quadratic formula.
We can simplify the expression in the quadratic formula.
We can solve for x.
The solutions are -1/3 and 1.
To know more about quadratic equation:
https://brainly.com/question/30098550
#SPJ2
Robert got his hair cut for $21. He gave his barber a 15% tip. What was the
TOTAL Robert paid? *
Answer:
24.15
Step-by-step explanation:
I think
Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem
Do whatever is easiest for you, thanks !!!!
Answer:
there is going to be a girl that says she has answers in a pdf don't go into it
it will gib=ve you a virus
Step-by-step explanation:
Point E (-2, -5) is dilated from the origin by scale factor of r = 3/2. What are the coordinates of point E.
Answer:
The new coordinates of E are (-3,-15/2).
Step-by-step explanation:
Here we just need to multiply each element of this point by r.
So we have:
[tex]E_{new}(-2*(\frac{3}{2}),-5*(\frac{3}{2}))[/tex]
[tex]E_{new}(-3,-\frac{15}{2})[/tex]
Therefore, the new coordinates of E are (-3,-15/2).
I hope it helps you!
And how u got it :)))
Answer:
122.5 i solved it on paper
Step-by-step explanation:
Select all of the points that are on the graph of the function y
- 3x – 4
A
(0, – 4)
B
(7, – 25)
C
( - 5, 11)
D
(3, 13)
E
( -5, – 19)
Answer:
its A
Step-by-step explanation:
Answer:
I think it is (-5,11)
Step-by-step explanation:
I put it into Desmos and that was one of the points.
The two numbers that multiply to 36 and add to -20 are
Answer:
-2 and -18
Step-by-step explanation:
I need help please someone who is very smart in math this algebra 2
Which transformations map the strip pattern onto itself?
Ь Ь Ь Ь Ь
Р Р Р Р Р
A. a horizontal translation only
B. a horizontal translation and a glide reflection
C. a reflection across a vertical line
D. a horizontal translation and a 180° rotation
Answer:
C
Step-by-step explanation:
The strip patterns new image and pre image orientation are vertical so anything that has horizontal translation in it is wrong
C is right becuase we can reflect the b across a vertical line to get to PA golf team's 6 members had the scores below in their most recent tournament:
70,\,72,\,74,\,76,\,80,\,114
PROBLEM A
Calculate the mean score.
mean =
Answer:
81
Step-by-step explanation:
To get the mean score, we have to add all their scores and divide the result by the number of members in the team.
(70+72+74+76+80+114) ÷ 6 = 486 ÷ 6 = 81
So, the answer is 81.
QUICK HELP!! If two linear equations have one solution, then the...
A Slopes are the same but the y-intercepts are different
B Slopes are different
C Slopes are the same and the y-intercepts are the same
Answer:
A
Step-by-step explanation:
1. A model lighthouse has a diameter of 10 inches and a height of 24
inches. If the actual diameter of the lighthouse is 24 feet, find the
actual height.
Answer:
Step-by-step explanation:
Solve each of these equations.
1. 2(x+5)=3x+1
2. 3y−4=6−2y
3. 3(n+2)=9(6−n)
Answer:
1. x=9
2. y=2
3. n=4
hello just helping out!
how to find surface area of trapezoid.
Answer: To find the area of a trapezoid, start by adding together the length of the bases, which are the 2 sides of the trapezoid that are parallel with each other. Then, multiply that number by the height of the trapezoid. Finish by dividing the product by 2 to find the area. Or check this image it can help u
Step-by-step explanation:
PLEASE HELP ASAP!!
The diameter of each of the three circular lights in a traffic signal is 7 inches. In this activity, you will find the total area of the three lights.
Part A
Each circular light has a diameter of 7 inches. What is the radius of each light?
Answer:
The radius of the circle is 3.5 inches.
Step-by-step explanation:
The radius is half the diameter:R= 1/2 d
Substitute the value of d (7 inches) in the formula to find r:
r= 1/2 x 7 in
r= 3.5 in
Answer:
3.5 inches should be the answer.
Find the area of a triangular garden if the sides are approximately 6 feet, 14 feet, and 13 feet (to the nearest square foot).
546 ft2
39 ft2
10 ft2
578 ft2
