Slope formula - y = mx + b
6x + 2y = 10
subtract x
2y = 10 - 6x
divide all by 2
y = 5 - 3x
y = -3x + 5
5 is the y-intercept, and -3x is the slope
hope this helps :)
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
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.
Help please ......
...
Answer:
2,4,3,1,5,3,2 is the answer
Step-by-step explanation:
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
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.
share £40 in the ratio 1:3:4
Answer:
hi
Step-by-step explanation:
1x+3x+4x= £40
1. 8x=£40
2. X=40/5
3. X=£5
1×£5= £5
3×£5= £15
4×£5= £20
each will get
£5
£15
£20
Hope It Helps You
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
-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
If BD and EG are parallel lines and m<DCF = 125°, what is m<DCA? help asap
Answer:
The answer would be 60 degrees
Step-by-step explanation:
I got the answer from the question after getting it wrong
I need help with this
Answer:
-6
Step-by-step explanation:
greater than -8
absolute value is even
absolute value is between 5 & 11
Jen and Brandy are studying soil. They each collected a sample of soil from the front yard of the school and then analyzed its components. Finally, they compared their results and found that they were very different. Their findings are recorded in the chart below.
How should Jen and Brandy proceed?
A.They should discuss their results and try to figure out why they are different.
B. They should ignore the differences in their results and complete their lab report.
C. They should argue about which student is right.
D. They should ask their teacher which set of results are more accurate.
Answer:
A. They should discuss their results and try to figure out why they are different.
May I have Brainliest once you confirm that it's correct?
Answer:
C
Step-by-step explanation:
Convert 22 yards into feet. Use the rate suggested by the equation 3 feet = 1 yard.
22 yards = ? feet
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:
The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above ground?
Answer:
1,050 feet
Step-by-step explanation:
All you have to do is take the total height 1,454 and subtract the distance from the top to the 86th floor. 1,454-404 which gives you 1,050.
Over the next 12 months you have to read more than 48 books you have to read x books per month the inequality 12x >48 solve this inequality to find the number of books you have to read per month
Answer:
4
Step-by-step explanation:
12x>48 so divide 48 by 12 to solve for x so x is 4
A logo is made of a square and a semicircle. The square has side lengths of 12 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the logo?
Answer:
The square has side lengths of 22 inches. One side of the square is also the diameter of the semicircle
Step-by-step explanation:
Hopefully its right!
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.
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.
pleaseeee helpppppp asapppp
Answer:
30
Step-by-step explanation:
Jerry left his house and walked l.5 miles directly west. Then he walked 1.5 miles directly east. At this point, how many miles was Jerry from his house?
Answer: he should be at home im sure
Step-by-step explanation:
I will give brainliest
4 = u/10
what is the value of u?
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
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
The ending balance on an investment is $1,620.24. If the principal was invested at 8% for nine years, what was the principal?
Mr.marquez had 123 eggs in a refrigerator in his restaurant he put 32 more cartons of eggs in the refrigerator each carton contained 18 egg which if these is the best estimate of the number of eggs mr Marquez now has in his refrigerator
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.
Factor 18p-36 to identify the equivalent expressions. Choose 2 answers:
Answer: 9(2p-4)
The greatest common factor of 18 and 36 is 9.
Divide 9 by 18, and 9 by 36.
36 ÷ 9 = 4
18 ÷ 9 = 2
We have to add p to the 2 as well, and a 4 in parentheses.
We get the answer 9(2p-4).
Answer:
It would be a and c
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
Ryan achieved an 89% on the same multiple choice test. He answered some questions correctly, left at least one blank and
got at least one wrong answer. He also got some possible points for extra credit. Give one possible answer combination of the
questions Ryan could have answered on the multiple-choice test.
Answer:
Ryan could have answered multiple choice answers and true or false answers rather than knowledge answer like written prompts
Step-by-step explanation:
Hope this helped:)
(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