Answer:
Step-by-step explanation:
D = 3,1
E = 1,-2
F= -4,2
The fraction 13/16 is closest to which benchmark?
zero
three-sixteenths
one-half
one
Answer:
♡ madeline here ♡
- 1 is your answer. ✿
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
A quadratic function has an axis of symmetry at x=4 and contains the points (2, -6) and (7, -11). Find the equation in standard form (y=ax2+bx+c). Then state the "a" value in the equation.
Answer:
The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.
Step-by-step explanation:
A quadratic function is the standard form of the parabola. We can take advantage of the symmetry property of the parabola by using the following formula from the Analytical Geometry:
[tex]y - k = C\cdot (x-h)^{2}[/tex] (1)
Where:
[tex]C[/tex] - Parabola constant, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Depedent variable, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex of the parabola, dimensionless.
If we know that [tex](x_{1},y_{1})=(2,-6)[/tex], [tex](x_{2},y_{2})=(7,-11)[/tex] and [tex]h = 4[/tex], then we have the following system of linear equations:
[tex](x_{1},y_{1})=(2,-6)[/tex]
[tex]-6-k = C\cdot (2-4)^{2}[/tex]
[tex]4\cdot C +k = -6[/tex] (2)
[tex](x_{2},y_{2})=(7,-11)[/tex]
[tex]-11-k =C\cdot (7-4)^{2}[/tex]
[tex]9\cdot C + k = -11[/tex] (3)
By clearing [tex]k[/tex] in (2) and (3) and equalizing each other, we get that:
[tex]-6-4\cdot C = -11-9\cdot C[/tex]
[tex]5\cdot C = -5[/tex]
[tex]C = -1[/tex]
And the remaining variable is calculated by substituting directly on (3):
[tex]k = -11-9\cdot C[/tex]
[tex]k = -11-9\cdot (-1)[/tex]
[tex]k = -2[/tex]
Then, the equation of the parabola is:
[tex]y+2 = -(x-4)^{2}[/tex]
And the standard form of the equation is obtained by algebraic handling:
[tex]y+2 = -(x^{2}-8\cdot x + 16)[/tex]
[tex]y + 2 = -x^{2}+8\cdot x -16[/tex]
[tex]y = -x^{2}+8\cdot x -18[/tex] (4)
The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.
How do you solve this? Please help!
Answer:
b
Step-by-step explanation:
u can use the ration method
15:15+36
20:6x-7
then cross multiply
and x =12.5
Answer:
x = 12.5
Step-by-step explanation:
The large outer triangle and the small inner triangle are similar, thus the ratio of their corresponding sides are equal, that is
[tex]\frac{20}{6x-7}[/tex] = [tex]\frac{15}{15+36}[/tex] = [tex]\frac{15}{51}[/tex] ( cross- multiply )
15(6x - 7) = 1020 ( divide both sides by 15 )
6x - 7 = 68 ( add 7 to both sides )
6x = 75 ( divide both sides by 6 )
x = 12.5
8(a+4)=___a+___ PLZ HELP IM STUCK ON THIS
Answer:
8(a+4)=8a+32
Step-by-step explanation:
Use the distributive property.
Please help! Drag the tiles to the correct boxes to complete the pairs...
I will give brainliest
4 = u/10
what is the value of u?
Can someone help me with this last one please
If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answer:
$22.75
Step-by-step explanation:
if you multiply $32.50 * 30% you get $9.75
32.50-9.75=$22.75
Answer:
$22.75
Step-by-step explanation:
Convert percent to decimal:
30%=30/100=0.3
Percent formula:
a(1-r)
a(1−r)
32.5(1-0.3)
32.5(1−0.3)
32.5(0.7)
32.5(0.7)
22.75
22.75
Price after discount:
$22.75
Which statement is true? the sum of 7/8 and 8/7 is zero. the sum of 7/8 and -8/7 is zero. the sum of 7/8 and 7/8 is zero the sum of 7/8 and -7/8 is zero.
Answer:
the sum of 7/8 and -7/8 is zero
Step-by-step explanation:
this is because they cancel each other out
Answer:
Step-by-step explanation:
Machine B covers 2/3 square feet in 1/5 hours
Answer:
He covers 10/3 or 3 1/3 square feet in 1 hour
Step-by-step explanation:
Seance he covers 2/3 feet in 1/5 hours 2*5 will give you 10 so you have 10/3
-2.5x - 10 = 40 what is the missing variable
Answer:
x = -20
Step-by-step explanation:
1) Isolate x
-2.5x - 10 = 40
+ 10 + 10
-2.5x = 50
------- ------
-2.5 -2.5
x = -20
Answer:
x=-20
Step-by-step explanation:
-2.5x -10=40
-2.5x -10+10=40+10
-2.5x=50
-2.5x/-2.5=50/-2.5
x=-20
There are 76 people signed up for a speedboat tour. Each speedboat can transfer 9 people. How many speedboats will be needed for the people who signed up?
Given:
Total number of people who signed up = 76
Each boat can transfer = 9 peoples
To find:
The number of boats required.
Solution:
We know that,
[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]
On substituting the values, we get
[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]
[tex]\text{Required number of boats}=8.44...[/tex]
Number of required boats must be a whole number. So, approximate the data to the next whole number.
[tex]\text{Required number of boats}=9[/tex]
Therefore, the required number of boats is 9.
Write and solve an equation for this problem.
Wakaba buys some granola bars at $0.50 each and energy drinks at $2 each for a group hike. She buys twice as many granola bars as energy drinks. If she spends $27 in total, how many granola bars and energy drinks does she buy?
Let x= the number of energy drinks
Answer:
Wakaba bought 18 granola bars and 9 energy drinks.
Step-by-step explanation:
From the information given, you can write the following equations:
0.50x+2y=27 (1)
x=2y (2),where:
x is the number of granola bars
y is the number of energy drinks
You can replace (2) in (1) and solve for y:
0.50(2y)+2y=27
y+2y=27
3y=27
y=27/3
y=9
Now, you can replace the value of y in (2) to find x:
x=2(9)
x=18
According to this, the answer is that Wakaba bought 18 granola bars and 9 energy drinks.
Guys I really need help pls!!
Answer:
No, yes, yes, no
Step-by-step explanation:
23.6/4.02=5.87
2.36/40.2=0.0587
2360/402=5.87
2.36/0.402=5.87
236/4020=0.0587
(y-7)(y+6)
Can someone show me how to do it it’s multiplying polynomials
hi
(y-7) (y+6) = y²+6y -7y -42
= y² -y -42
A recipe calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much grape juice would you need to mix with 15/4 of sparkling water?
Answer:
15/8 quartz of grape juice
Step-by-step explanation:
Given that:
Standard Recipe requirement :
1 1/2 quartz of sparkling water requires 3/4 quatz of grape juice
Number of grape juice required for 15/4 of sparkling water ;
Let quartz of grape juice required = x
1 1/2 sparkling water = 3/4 grape juice
15 /4 sparkling water = x grape juice
3/2 = 3/4
15/4 = x
Cross multiply ;
3/2 x = 15/4 * 3/4
3/2x = 45/ 16
x = 45/16 ÷ 3/2
x = 45/16 * 2/3
x = 90/48 = 15/8
x = 15/8 quartz of grape juice
Suppose you are interested in testing whether the mean earning of men in California differs significantly from the mean earning of men in New York. If the number of men from California in the sample is 123 and the number of men from New York in the sample is 88, how many degrees of freedom are there?
Answer:
(123+88)-2= 209
Step-by-step explanation:
Gabriel cycles 1,200 meters in 6 minutes. What is his speed?
What is the equation of the line that passes through the points (3,8) and (6,2)?
Answer:
y = −2x+14
plot the points on a graph, and find the slope :)
A rectangle is 3 times as long as it is wide. The perimeter is 120 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
What is the ratio of 120%
Answer:
5: 6
Step-by-step explanation:
becuase it was basically 100:120 but divide it by 20 and thats how you get 5;6
Without multiplying, is 4 × 0.36 less
than or greater than 4? Explain its for my little sis oof
Answer:
Less
Step-by-step explanation:
Think of it like this:
Four times of 0.36
0.36 + 0.36 + 0.36 + 0.36 = 1.44
So 4 × 0.36 is less than 4
Hope I helped your little sista :)
What is cos(37pi)?
A. 1
B. 0
C. -1
D. -2
I need help with this
Answer:
-6
Step-by-step explanation:
greater than -8
absolute value is even
absolute value is between 5 & 11
To convert 1880 kL to L, move the decimal point _____ places to the _____.
Answer:
4567
Step-by-step explanation:
sdjfgkh
Answer:
1880000
Step-by-step explanation:
1880 * 1000 = 1880000
A cheesecake recipe says to mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese will be needed for 45 oz of sugar?
Answer:
1.5
Step-by-step explanation:
it is one and one half, in other words.
Answer:
36 oz of cream cheese
sugar: 45 divided by 15 equals 3
12 times 3 equals 36
HELP ME OUT PLEASE IM BAD AT MATH
Answer:
it is -⅕ if youre asking for the slope
Answer:
I don't know what your looking for but the dots are at -3,-1 and 2,-2
Step-by-step explanation:
The function h is a quadratic function whose graph is a translation 3 units left and 4 units up of the parent
function f(x)=x. What is the equation of h in vertex form and in the form y = ax? +bx+c?
A. y=(x-3)^2 +4; x^2 -6x+9
B. y=(x-3)^2 +4; y=x^2 -6x +13
C. y=(x+3)^2 +4; y=x^2 +6x+9
D. y=(x+3)^2; y=x^2 +6x+13
Answer:
D ( if you add +4 to the (x + 3)^2)
Step-by-step explanation:
Parent function is f(x) = x^2
A translation 3 units left gives y = )x + 3)^2
- and 4 up gives y = (x + 3)^2 + 4 - vertex form.
Standard form :
y = x^2 + 6x + 9 + 4
= x^2 + 6x + 13.
Please help me on this question
Answer:
a=50
b=40
c=80?
Step-by-step explanation:
a=50 (180-130)
b: 50+90=140 180-140= 40 b=40
c= 40+60=100 180-100=80?
2. D-Vee-Ta Supermarket sells pears or $1.68 per kilogram. Estimate the prices for each
amount of pears. Explain how you made your estimation. Use may use the ratio table to
help in your explanation.
1
2
3
4
5
6
$1.68
3.36
5.04
6.72
2.a. 2.75kg
2.b. 0.19kg
Answer:
2.a. The price of 2.75 kg of pears is $4.62
2.b. The price of 0.19 kg of Pears is $ 0.3192
Step-by-step explanation:
The given parameters are;
The price of each kilogram of Pears = $1.68
Therefore, we have;
The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears
2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62
The price of 2.75 kg of pears = $4.62
2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192