His balance is $2,686.00
$2,000.00 + $1,000.00 = $3,000.00 + $450.00 = $3,450.00
$3,450.00 - (($275.00 + $40.00) + (($47.00 + $92.00) + ($101.00 + $209.00)) = $2,686.00
Gigi graphs the parabola (x+1)2=2(y−3).
How does she proceed?
Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.
After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:
Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].
Since Gigi's parabola has the x-term squared, then the parabola has the general formula
[tex](x-h)^2=4p(y-k)[/tex]
So,
[tex]x-h=x+1 \implies h=-1[/tex]
[tex]y-k=y-3\implies k=3[/tex]
The vertex is
[tex](h,k)=(-1,3)[/tex]
The focus is
[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]
The directrix is
[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]
The other values can be computed as follows;
Direction the parabola opens: Since the value of p is positive, the parabola opens up.
Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is
[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]
Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be
[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]
Learn more about conic sections here: https://brainly.com/question/12854078
Answer:
I took the quiz.
Step-by-step explanation:
Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?
Answer:
10 hours
Step-by-step explanation:
let x be the total number of hours
Amazing design total charge = 45x+250
super structures total charge = 60x+100
both companies charge the same amount when both equation equals
45x+250=60x+100
60x-45x=250-100
15x=150
x=10
therefore at 10 hours both companies will charge the same amount
What is the slope for this table?
Answer:
-1/2
Step-by-step explanation:
take two points and apply
(8-7)/(0-2)=1/-2=-1/2
There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items
190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x
Simplifying, we get that x=10x=10.
its 10
how can u calculate 23x4 if the 4 buton is broken?
Answer:
23x2x2
Step-by-step explanation:
can u answer this plz thanks
Answer: 3/4 of 8 just means 3/4 x 8, which is 6 miles. Do the same with 3/5 x 10, which is also 6 miles. Therefore both of them walked the same distance. Please mark me brainliest!
P: It's sunny.
Q: It's snowing. R: It's not raining.
Translate the following words into symbols: It's sunny and it's not snowing.
ΟΡΔΟ
O Q–> P
O PA~Q
O~P ^ Q
Answer: Choice C. [tex]P \wedge \sim Q[/tex]
Explanation:
Anywhere you see "it's sunny", replace it with "P".
We'll replace the "and" with the symbol [tex]\wedge[/tex] which is used for conjunctions.
The squiggly [tex]\sim[/tex] refers to "not" and it negates or flips whatever statement Q is. Q stands for "it's snowing" so [tex]\sim Q[/tex] is the complete opposite of "it's not snowing".
We don't use statement R at all.
train tickets cost $48 for adults and $32 for children there are 27 adults and 55 children on the train how much did the passengers pay to ride the train
x-4-2= -11
it’s a negative 11 btw!!
Hello there!
x-4-2=-11
x-6=-11
x=-11+6
x=-5
Hope it helps
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
x=-5
Step-by-step explanation:
x-4-2=-11
x-6=-11
x=-11+6
=-5
Please help with this math
Answer:
676
Step-by-step explanation:
You need to find out abcde and then find out what bd is after that you must divide them both by 3
Hope that helped
Find the value of x and y.
Answer:
x = 4
y = 12°
Step-by-step explanation:
Since each angles are equal ,
So each angle is 60°.
=> 5y = 60°
=> y = 60/5°
=> y = 12°
Again all sides will be equal ,
=> 5x - 6 = 3x + 2
=> 5x - 3x = 6+2
=> 2x = 8
=> x = 4
1/3(x-6)=16
Please help me out
Answer:
[tex] \frac{1}{3} (x - 6) = 16) \times 3 \\ x - 6 = 3 \times 16 \\ x = 48 + 6 \\ \color{yellow} \boxed{ x = 54}[/tex]
Answer:
x=54
Step-by-step explanation:
i used a app its great and best for these types of questions
y+7=2(x+5) in standard form
Answer:
[tex]2x-y=-3[/tex]
Step-by-step explanation:
[tex]\mathrm{The\: standard\: form\: of\: a \:linear \:equation \:is}:\mathrm{A}x+\mathrm{B}y=\mathrm{C.}[/tex]
[tex]\underline{\sf{Solve\:for\:}y}:[/tex]
[tex]y+7=2(x+5)[/tex]
[tex]=y+7=2x+2\cdot5[/tex]
[tex]= y+7=2x+10[/tex]
[tex]=(y+7)+(-7)=(2x+10)+(-7)[/tex]
[tex]=y+7-7=2x+10-7[/tex]
[tex]\underline{y=2x+3}[/tex]
Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..
Answer:
Each student get 3/4 cups.
Step-by-step explanation:
15÷20=0.75
turn into fraction
3/4
I answer this question before
The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?
Answer:
s(c)= 4.4c
Step-by-step explanation:
write the following fraction as decimals numbers 29/10 329/100 72/1000 2/1000
[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]
[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]
[tex] \frac{72}{1000} = \frac{9}{25} [/tex]
[tex] \frac{2}{1000} = \frac{1}{50} [/tex]
I DON'T KNOW IF CORRECT
Answer:
i) 2.9
ii) 3.29
iii) 0.072
iv) 0.002
Step-by-step explanation:
i) 29/10 = 2.9
ii) 329/100 = 3.29
iii) 72/1000 = 0.072
iv) 2/1000 = 0.002
It's Helpful For All
Mark me Brainliest
a/6-1/2=1/3 thats 7 grade math
Answer: a = 5
Step-by-step explanation:
a/6-1/2=1/3
a/6 = 1/3 + 1/2
a/6 = 2/6 + 3/6
a/6 = 5/6
a = 5
Check:
5/6-1/2 = 1/3 ?
5/6 - 3/6 = 1/3?
2/6 = 1/3 ?
1/3 = 1/3 YES
Answer:
a = 5
Step-by-step explanation:
a/6 - 1/2 = 1/3
=> a/6 = 5/6
=> a = 5
Hoped this helped.
What are the values of each variable?
Answer:
3x-10=x+15+25
3x-10=x+40
3x-x=40+10
2x=50
x=50/2
x=25
what would be 8/1 x 1/2
Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
[tex]8\times \dfrac 12 = 4[/tex]
Solve for b, c and d
Answer:
Answer to B:
4
Answer to C:
-4
Answer to D:
2
what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots
Answer:
2 imaginary roots
Step-by-step explanation:
The discriminate is the portion of the quadratic equation under the square root
D = b^2 - 4ac
D = 8^2 - 4(2)(16)
D = 64 - 128
D = -64
Since the discriminate is negative the square root will be imaginary
and there will be 2 of them
2 imaginary roots
9514 1404 393
Answer:
discriminant: -64two complex rootsStep-by-step explanation:
The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...
a=2, b=8, c=16
so, the discriminant is 8² -4(2)(16) = 64 -128 = -64
A negative discriminant indicates there are two conjugate complex roots.
Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?
2/3 subtracted from 1/2
Answer:
-1/6
Step-by-step explanation:
[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]
Pls help asap, whoever answers gets brainliest, 5 stars, and a thanks!
[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]
[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]
[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]
Done
help ? yes ? no ? maybe
Is (3, 8) a solution to the equation y = 2x - 1? Explain your answer.
Answer:
No, because 2x3 - 1 =5, which proves it is incorrect
Step-by-step explanation:
Solve the slope for the table.
Answer:
Slope = -3
Step-by-step explanation:
8-17/0+3=-9/3=-3 : Slope Formula
Ms. Adam drives 150% of Mr. Gilbert’s distance. How far does Ms. Adam drive?
Answer:
first tell how far does Mr. Gilbert drive???
Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.
Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12
I hope this helps! :)
Use the properties of operations to write an expression equivalent to 4x + 1/2 + 2x - 3
Hey there!
4x + 1/2 + 2x - 3
COMBINE the LIKE TERMS
= (4x + 2x) + (1/2 - 3)
TRYING to SIMPLIFY THEM
4x + 2x
= 6x
1/2 - 3
= -5/2
ANSWER
6x + (-5/2)
Therefore, your answer should be: 6x + -5/2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I just woke up i need help ;-;
Answer:
i think that the correct answer is 7/12
