Answer:
y = - 4(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
From the graph (h, k ) = (- 3, 7 ), thus
y = a(x + 3)² + 7
To find a we require a point on the graph other than the vertex
Using (- 2, 3) , substitute into the equation
3 = a(- 2 + 3)² + 7
3 = a + 7 ( subtract 7 from both sides )
a = - 4
Thus
y = - 4(x + 3)² + 7 ← in vertex form
whats 700 divided by 178
Answer:
3.93258426966
Step-by-step explanation:
To 1 d.p = 3.9
Answer:
≈3.9 (3.932584269662921...)
OR
3 R 166
OR
[tex]3\frac{83}{350}[/tex]
Step-by-step explanation:
700÷178=3.932584269662921
700÷178=3 R 166
700÷178=
[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]
If you wanted it in decimal form, the decimal would be infinite.
If you wanted it with a remainder, it's 3 R 166
If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]
4(x + 2) = 2x + 10
explain each step plz
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]4(x + 2) = 2x + 10[/tex]
Distribute 4(x+2).
[tex]4x+8 = 2x + 10[/tex]
Subtract 2x and 8 from both sides.
[tex]4x-2x=10-8[/tex]
[tex]2x=2[/tex]
Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{2}{2}[/tex]
[tex]x=1[/tex]
Answer:
x = 1
Step-by-step explanation:
4(x + 2) = 2x + 10
You start by expanding 4(x +2)
i.e. 4x + 8 = 2x + 10
Then, subtract 2x from both sides of the equation
4x + 8 - 2x = 2x + 10 - 2x
4x - 2x + 8 = 2x - 2x + 10
2x + 8 = 10
Subtract 8 from both sides of the equation
i.e. 2x +8 - 8 = 10 - 8
2x = 2
Divide both sides of the equation by the coefficient of x above(which is 2)
[tex]\frac{2x}{2} = \frac{2}{2}[/tex]
x = 1
Hope this helps :))
Which of the following fractions is not equivalent to 2?
3
6
0 10
IN
4.
Answer they are all equivalent
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha[/tex]
In order to participate in the end of the year filed trip, the students at Francis Scott Key need
to fundraise $1200. They plan to have a fajita dinner. They have enough food to serve 240
people. They are charging adults $6 per plate, and students only have to pay $2 per plate.
How many adults and children need to buy a plate in order for them to exactly meet their
goal?
Answer: 60 kids, 180 adults
Step-by-step explanation:
Let x be the number of children and y be the number of adults eating.
If they have 240 people eating then x+y=240.
If they have to fundraise 1200 then 2x+6y=1200.
Solving the system of equations, we can multiply the first equation by 2 to get 2x+2y=480. Then subtract the two equations and get -4y=-720, so y=180. Substitute y=180 back in to get x=60.
Hope that helped,
-sirswagger21
Find the slope of the line that passes through (2, 16) and (10, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-9/8
Hope this helps
The right answer is - 9/8
please see the attached picture for full solution
Hope it helps..
find the measure of angle 3
please help !!
Answer:
∠3 = 140°
Step-by-step explanation:
∠4 = 40°
∠4 = ∠1 (vertical angles)
∠1 = ∠2 (alternate angles)
∠2 = 40°
So,
∠2+∠3 = 180 [Angles on a straight line add up to 180°]
40 + ∠3 = 180
∠3 = 180-40
∠3 = 140°
Answer:
Angle 3 = 140°
Step-by-step explanation:
Angle 4 is equal to 40° and on a flat surface of 180°, that is, the first horizontal line, angle A is equal to 140° because 180° - 40° = 140°. Angle A is congruent to angle 3, therefore, angle 3 is also 140°.
Write a rational expression that simplifies to x-3,x≠1
Aswer:
[tex]\frac{(x-1)(x-3)}{x-1}[/tex]
Step-by-step explanation:
Answer:
x-3:m=1
Step-by-step explanation:
Find the area of the figure. Use 3.14 for Pi, and round your answer to the nearest tenth. Rectangle capped by a right triangle on one end and a semicircle on the other A rectangle topped by a semicircle and triangle. The rectangle has length 38 feet and width 24 feet. The triangle has side lengths 18 feet and 24 feet. The semicircle has diameter 24 feet. a. 1570.1 sq. ft b. 1354.1 sq. ft c. 1580.2 sq. ft d. None of these
Brian, Krutika and Peter share £77 in a ratio 2:2:3. How much money does each person get?
_______________________________
Hey!!!
Solution,
2x+2x+3x=77
or,7x=77
or,X=77/7
X=11
Replacing value,
2x=2*11
=22
3x=3*11
=33
So, Brian gets £ 22.
Kritika gets £ 22
Peter gets £ 33
Hope it helps...
Good luck on your assignment
_____________________________
Select the graph for the solution of the open sentence. Click until the correct graph appears.
4|x| - 1 < -4
Answer:
No solution!
Just turned it in <3
Answer:
tis indeed no solution your honor
Step-by-step explanation:
Brad is practicing the piano. He spends 14 hour practicing scales and 16 hour practicing the song for his recital. Find TWO possible common denominators for 14 and 16.
Answer:
1 and 2
Step-by-step explanation:
A denominator divides a number
to find the two common denominators of 14 and 16,
first we find the factors of 14 and 16.
Factors of 14 are: 1, 2, 7, 14.
Factors of 16 are: 1, 2, 4, 8, 16.
The two common factors between this numbers that will be able to divide these numbers without remainder are 1 and 2, therefore,
the two common denominators of 14 and 16 are 1 and 2
HELP. THIS IS ABOUT DILATION EXPLANATION NEEDED
Answer:
(16,14)
Step-by-step explanation:
Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.
This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)
Answer:
To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.
Find the surface area of polyhedra
Pls!! show how you got the surface area
Answer:
52.48
Step-by-step explanation:
find the cross sectional area which is the triangle
triangle = 1/2 x 8.2 x 6.4 = 26.24
then, use the area to multiply by the extended length of 2
26.24 x 2 = 52.48
What’s the answer to this question?
Answer:
The answer is
The first one, the second one and the last one.
Hope this helps.
PLEASE HELP!
Solve by completing the square
x^2+8x = -20
Answer: x= -4+/- 2i
Step-by-step explanation: Used the formula (b/2)^2 to create a new term. I solved for x.
FYI
+/- means plus or minus sign I couldn't find the symbol on my key board. Hope this helps!
x
Which of these points are on a line that has a slope of -3?.
(9, 2), (4,3)
(2,9), (4,3)
(9, 2), (3, 4)
(2,9), (3, 4)
Answer: (2, 9), (4, 3)
Step-by-step explanation:
[tex]\text{The slope formula is: }m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{2-3}{9-4}\quad =-\dfrac{1}{5}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{9-3}{2-4}\quad =\dfrac{6}{-2}\quad =\large\boxed{-3}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{2-4}{9-3}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{9-4}{2-3}\quad =\dfrac{-5}{1}\quad =-5[/tex]
i need help, please..
Answer:
£1.31
Step-by-step explanation:
5:7:12
5x+7x+12x= 21624x= 216x= 9small : medim : large = 45 : 63 : 108
45y+63*2y+108*3y= 648.45y(45+126+324)= 648.45495y= 648.45y= 648.45/495y= £1.31 profit for small cakeAnswer:
£1.31
Step-by-step explanation:
The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )
sum the parts of the ratio, 5x + 7x + 12x = 24x
Equate 24x to the number of cakes sold, that is
24x = 216 ( divide both sides by 24 )
x = 9
Thus cakes sold are
5x = 5 × 9 = 45 small cakes
7x = 7 × 9 = 63 medium cakes
12x = 12 × 9 = 108 large cakes
let p represent the profit on a small cake, then
45p + 63(2p) + 108(3p) = 648.45 , that is
45p + 126p + 324p = 648.45
495p = 648.45 ( divide both sides by 495 )
p = 1.31
That is the profit on one small cake is £1.31
5x – 7y= 16 2 + 7y = 8.
what is x?
Answer:
x=45/6
Step-by-step explanation:
2+7y=8. 7y=8-2. 7y=6
7=7. y=6\7
insert the value of y in the second equation. 5x-7y=16
5x-7(6/7)=16
5x-49\6=16
collect the liketerms together
5x=16+49/6
5x=145/6(divide both sides by 5)
x=29/6
x=45/6
further.
confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y
Find the value of x.
Answer:
x = -7
Step-by-step explanation:
Make an equation:
3x + 33 = 12
3x = -21
x = -7
Answer:
x = -7
Step-by-step explanation:
form an equation.
14 + x + 2x + 19 = 12
like terms together;
x + 2x = 12 - 14 - 19
simplify;
3x = -21
divide both sides by 3;
x = -7
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
B. x + 0.2x
Step-by-step explanation:
0.2 is equal to 20%
x represents the amount of dollars, and 20% of x would be written as 0.2x.
The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.
point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be
point M is the midpoint off point A and point B
Answer: B = (1,-9)
Step-by-step explanation:
[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]
Answer:
the answer is b
Step-by-step explanation:
Which of the following does not come from domesticated animals?
a. milk from cows, sheep, and goats
c. fertilizer to help crops grow better
b. labor to pull the plows
d. furs for shelter and warmth
Which graph represents a function? answerr FASTTTT PLZZZ
Answer:
graph 1 is the function.
The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.
Answer:
Neither
Step-by-step explanation:
When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.
Plz sub to Rebel_IOSツ on yt!
Answer:
AB and CD are parallel
Step-by-step explanation:
AB has the slope of -2/5let's see what slope the line CD has:
points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5as we see AB and CD have same slope, therefore they are parallel
Compare taking a cube root to taking a square root
The cube root of a number is the number which when multiplied by itself three times give you the original number. ... The square root of a number is the number which when multiplied by itself twice give you the original number. As an example, the square root of 9 is 3 because 3×3 = 9
Please help. Sooooo confused. GOAL is a quadrilateral in which GO is parallel to AL. If the measures of angle G=angle O = 40 degrees. What are the measures of angle A send L. It is not mentioned that A is equal to L,so?
Answer:
Angle A and L are 140 degrees each.
Step-by-step explanation:
Since GO and AL are parallel to each other, we can use the same side interior theorem to figure out angle A and L. Let's focus on GA first. We know that same side interior angles are supplementary (sum is 180 degrees). We know angle G is 40 degrees, so to figure out angle A, you do 180-40 which equals 140. So angle A is 140 degrees. You repeat this process for OL and you should also get 140 degrees for L.
Cecilia makes travel plans for her trip home from Atlantic City to Williamsburg. She plans to make a 2 hour stop in Baltimore. To predict the time of her trip (t) at an average driving speed (s), she uses the equation below: T=2+ 350/s Find the trip times for the average driving speed of 45,55, and 65 miles per hour.
Answer:
9.778 h
8.364 h
7.385 h
Step-by-step explanation:
In the given expression, "s" is Cecilia's average driving speed in miles per hour, 350 is the distance, in miles, between Atlantic City and Williamsburg, therefore:
For s = 45 mph
[tex]T = 2+\frac{350}{45}\\T=9.778\ h[/tex]
For s = 55 mph
[tex]T = 2+\frac{350}{55}\\T=8.364\ h[/tex]
For s = 65 mph
[tex]T = 2+\frac{350}{65}\\T=7.385\ h[/tex]
153 is the product of Matt’s age and 9 use the variable m to represent Matt’s age
Answer:
m = 153/9
Step-by-step explanation:
since it is the product, you need to divide it to be able to get his age/
hope this helps! :)
_____ is a gas giant, an "ice giant," and orbits the Sun like a rolling ball (since its axis is greatly tilted). A. Saturn B. Jupiter C. Uranus D. Neptune
Complete the recursive formula of the geometric sequence-0.56,-5.6,-56,-560
The full recursive formula can be defined by these two parts
[tex]\begin{cases}a_1 = -0.56\\ a_n = 10*a_{n-1}\end{cases}[/tex]
The top part tells us the first term is -0.56, while the second part says to get each new term we multiply the prior term by 10
second term = 10*(first term) = 10*(-0.56) = -5.6
third term = 10*(second term) = 10*(-5.6) = -56
etc etc