Answer:
A closed circle on the number line indicates that the boundary point is included in the solution set
Step-by-step explanation:
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determine the vertex of y=4(x-25)2+ 91
Answer:
(25, 91)Step-by-step explanation:
y = a(x - h)² + k ← vertex form of the equation of the parabola with vertex (h, k)
So y = 4(x - 25)² + 91 means:
a = 4
x - 25 = x - h ⇒ - 25 = - h ⇒ h = 25
+ 91 = + k ⇒ k = 91
Therefore vertex is:
(25, 91)
what is the vertex of y=x^2 +x-6?
y =(x+ 1/2 ²- 25/4 . explanation. y=x²+x=6 . complete the square.
y=x²+x+(1/2)² -6 - 1/4 . simplify
y=(x+1/2²)- 25/4 in the vertex form
hope this will help u
-2x + y = 0
x - y = -3
Answer:
The value of x is 3 and y is 6.
Step-by-step explanation:
You can solve this simultaneous equation by elimination method :
[tex] - 2x + y = 0 - - - (1)[/tex]
[tex]x - y = - 3 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex] - 2x + y + x + (- y) = 0 + ( - 3)[/tex]
[tex] - x = - 3[/tex]
[tex]x = 3[/tex]
[tex]substitute \: x = 3 \: into \: (2)[/tex]
[tex](2)⇒[/tex]
[tex]3 - y = - 3[/tex]
[tex] - y = - 6[/tex]
[tex]y = 6[/tex]
4(2.5)^2x = 4
The value of x?
Answer:
x=0
Step-by-step explanation:
If x is 0, then 2x becomes 0. (2.5)^0 would then be 1. 4*1 would give 0 so x=0.
Write the equation y = (4/5 x) - 7/10 in standard form. (Standard form is Ax+By = C, where A is positive, and A, B, and C are integers with greatest common divisor 1.)
Answer:
8x-10y=7
Step-by-step explanation:
A 27- inch long ribbon was cut into 4 equal lengths. How long was each piece of ribbon?
Answer:
6.75 I think
Step-by-step explanation:
Just do 27 divided by 4
The property tax on a $60,000 home is $1,500. At this rate what will the property tax be on a home worth $75,000?
Answer:
The answer is $1,875
Step-by-step explanation:
1. I just divided $60,000 by 2 and $1,500 by 2 and got $30,000:$750
2. I realized I needed to do more so I divided again and got $15,000:$375. Next I added it to the question $60,000 + $15,000 = $75,000
3. So then $1,500 + $375 = $1,875
4. $75,000:$1,875
4. Hope this helps :)
6x^2 – 13x + 6 = 2x^2 solve using quadratic formula
Answer:
[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define equation
6x² - 13x + 6 = 2x²
Step 2: Rewrite in Standard Form
Subtract 2x² on both sides: 4x² - 13x + 6 = 0Step 3: Define
a = 4
b = -13
c = 6
Step 4: Solve for x/roots
Substitute: [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent: [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply: [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract: [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]And we have our final answer!
Dalia earns $108.75 for working 15 hours a day as a holiday helper wrapping presents. At this rate, how much money will she make if she works 19 hours a day next week?
rewrite 5\11 and 3\7 so that they have a common denominator.
Then, use to order 5\11 and 3\7.
Answer:
35/77>33/77
Step-by-step explanation:
A farm lets you pick 3 pints of raspberries for $12.00. Use decimal notation if necessary.
a. What is the cost per pint? $
b. How many pints do you get per dollar?
pint(s)
c. At this rate, how many pints can you afford for $20.00?
pints
d. At this rate, how much will 8 pints of raspberries cost? $
Answer:
a=$4.00, B=1/4 a pint per dollar, c= 5
Step-by-step explanation:
Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?
Answer:
You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.
What form is the equation below written in?
y= (x - 2)2 – 9
-Factored Form
-Standard Form
-Slope-Intercept Form
-Vertex Form
Answer:
Vertex FormStep-by-step explanation:
Vertex form of quadratic function with vertex (h, k) is y=a(x-h)²+k,
So y= (x - 2)² - 9 is vertex form with vertex (2, -9)
Can someone put this into vertex form?
y=x2+24x-15
Answer:
The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointh = [tex]\frac{-b}{2a}[/tex] , where b is the coefficient of xk = y at x = hLet us use the facts above to solve the question
∵ y = x² + 24x - 15
∵ a is the coefficient of x² and b is the coefficient of x
∴ a = 1 and b = 24
∵ h is the x-coordinate of the vertex point
∵ h = [tex]\frac{-b}{2a}[/tex]
→ Substitute the values of a and b to find h
∴ h = [tex]\frac{-24}{2(1)}=\frac{-24}{2}[/tex]
∴ h = -12
→ To find k substitute y by k and x by h
∵ y = k and x = h
∴ k = (-12)² + 24(-12) - 15 = 144 - 288 - 15
∴ k = -159
∴ The coordinates of the vertex point are (-12, -159)
→ Substitute the values of a, h, and k in the vertex form above
∵ y = 1(x - -12)² + (-159)
→ Remember (-)(-) = (+) and (+)(-) = (-)
∴ y = (x + 12)² - 159
∴ The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Answer:
sure.
Step-by-step explanation:
4. John is packing books into boxes. Each box can hold either 15 small books or 8
large books. He needs to pack at least 35 boxes and at least 350 books, Write a
system of linear inequalities to represent the situation
Answer:
Your system of inequalities is:
x + y ≥ 35
15x + 8y ≥ 350
Step-by-step explanation:
Let x = number of boxes of small books and let y = number of boxes of large books.
Since John needs to pack at least 35 boxes:
(number of boxes of small books) + (number of boxes of large books) (is at least) 35
x + y ≥ 35
Since John needs to pack at least 350 books:
(number of small books packed) + (number of large books packed) (is at least) 350
(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350
15x + 8y ≥ 350
.
HELPPP
The equation of the line in slope Intercept form is
Answer:
y = 60x + 40
Step-by-step explanation:
It is in the form of
y = mx + b
m is the slope
b is the y intercept.
The y intercept is 40, so it will be y = mx + 40.
The slope is 60, so y = 60x + 40!
ANSWER ASAP!! THIS IS GEOMETRY SCALE FACTORS. ONLY ANSWER IF YOU KNOW FOR SURE!
Answer:
45
Step-by-step explanation:
The scale is 3:1 so multiply 15 by 3 just like 12 to 36.
Answer:
30
Step-by-step explanation:
A ruby ring which normally sells for $310 is on sale for $217. Find the percent markdown for each ring.
Answer:
My awnser isss
Step-by-step explanation:
32% my homie
Answer:30%
Step-by-step explanation:
Discount = Original Price (X) discount (X) %/100
Discount = 310 × (30)/100
Discount = 310 x 0.3
You save = $93.00
A medical center is planning to hire a total of 54 nurses and CNAs (Certified Nursing
Assistants). If the center needs twice as many CNAs as nurses, how many of each should they hire?
Answer:
18 Nurses and 36 CNAs
Step-by-step explanation:
they are hired in the ratio 1:2
so do 1+2=3
then divide 54 by 3 to get 18
do 18 multiplied by 2 to get the number of CNAs
and 18 multiplied by 1 to get the number of nurses
Hope this helps
PLZZZZZZ HELP ME!!!!!!!
15 x 5x
Answer: x=0
Step-by-step explanation:
x in (-oo:+oo)
((15*x)/5)*x = 0
3*x^2 = 0 // : 3
x^2 = 0
x = 0
x = 0
5a+4=-11 please show work and solve for 5
Answer:
-3
Step-by-step explanation:
5a=-11-4
5a = -15
a = -3
Answer:
5a= -11 - 4
5a = - 15
a = -15/5
a= -3
Is (1, -1) a solution to y = 3x - 4?
Explain.
Answer:
yes
Step-by-step explanation:
just plug in the point into the equation then simplify
I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282
Answer:
8.6395761e+25
Step-by-step explanation:
no
Sean said that if an item is on sale for 50% off plus an additional 20% off, that is the same as a 70% discount. Megan disagrees. Who is correct? Justify your reasoning.
Answer:
Megan is correct because when you take 20% off, you're taking it off the 50%.
Step-by-step explanation:
The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers. Question 1 options: 13,67 14,66 17,63 12,68
Answer:
17,63................
Bob the builder has 3 feet of rope. He cut off 18 inches of the rope to tie a gate together. What percent of the rope did he use? (
Answer:
1.5
I am not 100% sure.. but you should double-check
need rn! worth 13 ~ what is the equation of the parabola? 謝謝
Answer:
Its B.
Step-by-step explanation:
Emath.com- Parabola calculator
answer pleaseeeeeeeeeeeeeeeee
What is the measure of angle 1?
Write the answer without the degree.
Answer: 70
90+20=110
180-110=70
I hope this is good enough:
Answer:
70
Step-by-step explanation:
Everything needs to add up to 180. So you have 90 and 20 you will add them and you’ll get 110. Since you want to find the missing measurement you will subtract 180-110 and you’ll get 70. The missing angle is 70. To check: 90+20+70=180
Jin bought 4 markers for $7. How many markers can he buy
for $21? Show your work.
Answer:
12
Step-by-step explanation:
7 times 3 is 21
and 4 times 3 is 12
Answer:
12
Step-by-step explanation:
first do 7 divided by 4 to find what 1 is worth. this answer is 1.75
now divide 21 by 1.75 to get 12
12 is your answer
hope this helped :)
