Answer:
a = -2 or a = -5
Step-by-step explanation:
We want [tex]f(a) = a^2 + 7a + 12 = 2[/tex]. We can subtract 2 from both sides of this equation to get [tex]a^2+7a+10=0[/tex]. We can factor this to get that [tex](a+2)(a+5)=0[/tex]. When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.
Find the value of x in the
following parallelogram:
2x
х
х
2x
Answer:
60°
Step-by-step explanation:
The sum of the angles in any quadrilateral is 360°. In a parallelogram the sum of neighboring angles is 180°. Therefore:
2x + x = 180°
3x = 180°
x = 60°
The value of x is 60.
What is properties of parallelogram?Parallel sides define an object.Congruent opposites are present.Angles at opposites are congruent.Consecutive angles on the same side called supplementary angles.A parallelogram is divided into two congruent triangles by each of its diagonals.A parallelogram's diagonals cut each other in half.Given:
Angles x, x, 2x, 2x.
Using the property of parallelogram, the adjacent angles of parallelogram sum to 180.
x+ 2x= 180
3x= 180
x= 180/3
x= 60
Hence, the value of x is 60.
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**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?
A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.
C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.
D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
During the summer, 1.3% of the water in the kiddie pool evaporates every day. If the kiddie pool holds 8,000 gallons of water and is not
refilled for 10 days, how many gallons of water will be in the pool? Round your answer to the nearest gallon enter the amount
Answer:
7019 gallonsStep-by-step explanation:
Initial volume of water = 8000 galDaily reduction = 1.3% Time = 10 daysRequired equation:
8000*(1- 0.013)^10 =8000*0.987^10 =7018.7781 ≈ 7019 rounded to the nearest gallonEnter the slope of the line through the points (4, 15) and (4, 12). *
Answer:
-3/0 is the slope....or just -3.
Step-by-step explanation:
slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.
a sixth grade football team has 3 quarterbacks, 4 running backs and 5 wide receivers what is the ratio of wide receivers to the total
Answer: 5.5
Step-by-step explanation:
Ratio
noun
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
please help ASAP [IMAGE]
Answer:
y is equal to negative 2 x plus five
An adult ticket for hypnotist's show cost $15. A children's ticket for the hypnotist's show cost $9. The number of adult tickets sold 5 more times the number of children's ticket sold. A total of $1512 is taken in for ticket sales. How many of each type of ticket is sold.
1. 21 adult tickets and 110 children's tickets
2. 110 adult tickets and 22 children's tickets
3. 10 adult tickets and 90 children's tickets
4. 10 adult tickets and 18 children's tickets
Answer:
The answer is B, or the second one.
90 Adult tickets and 18 Children's tickets
Step-by-step explanation:
(90 x 15) + (18 x 9)
what is 42/18 written as a mixed number?
Step-by-step explanation: 2 1/3
Find the mean, median, mode, and range of the following data.
10, 20, 30, 15, 90, 80, 35, 30, 25, 15, 60, 75, 80, 30, 45, 35, 95, 80, 80, 25, 15
Mean (average) - add all numbers up and divided by the number of addends
Mean = 46.19047619 (50)
Median - arrange numbers in numerical order, and find the one in the middle
Median = 35
Mode - number that appears the mode
Mode = 80
Range - difference between biggest and smallest number
Range = 80
~theLocoCoco
Graph a line through (2,-5) and have a slope of -4
im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?
Fill in the blank with the correct constant of proportionality. Pounds of Bananas Cost ($) 2, 2.50, 3, 3.75, 5, 6.25, 7, 8.75 The constant of proportionality is
Answer:
it will go up 1 dollar now i had to do it in my head
Step-by-step explanation:
mabey if im wrong sorry
First consider the system of equations y= -1/2x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x + 1 and y < x - 5. When comparing the number of solutions in each of these systems, which statement is true?
A. Both systems have an infinite number of solutions
B. The system of equations has more solutions
C. The system of inequalities has more solutions
D. Both systems have only one solution
Answer:
the answer is C, NOT B
Step-by-step explanation:
The system of inequalities will have more solutions than the system of equations , Option C is the corrrect answer.
What are Inequalities ?Inequality is the relation between two unequal numbers or algebraic expression.
The inequality symbols are less than , greater than , less than equal to, greater than equal to.
It is given in the question that
the system of equations y= -1/2x + 1 and y = x - 5.
the system of inequalities y > -1/2x + 1 and y < x - 5.
x-5 = -1/2 x +1
2x+x=6*2
3x = 12
x = 4
x-5 >-1/2 x +1
x>4
The system of inequalities generally have more solutions and in this case definitely have more solutions than the system of equations.
To know more about inequalities
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I GIVE BRAINLIEST!!
helpp >.< and your explain steps please !
Answer:
112p^2 -224p + 4
Step-by-step explanation:
16(p-2)(7p) + 4
Distributive property.
Use Foil
Multiply the: First, outside, inside, last
112p^2 -224p + 4
Answer:
112p^2 - 160p -128
Step-by-step explanation:
1) Look at the equation as a multiplication of 3 parts:
16 * ( p -2) * (7p + 4)
2) Multiply 16 with (p-2) = 16p - 32
3) Multiply 16p - 32 with (7p + 4) = 112p^2 + 64p - 224p - 128
4) Simplify: 112p^2 - 160p -128
select the equation that represents the problem. Let × represent the unknown number.
Ms. Weaver bought 216 pencils for her class. The pencils came in packs of 24. How many packs did she buy?
A. 216× = 24
B. 216 - × = 24
C. × + 24 = 216
D. 24× = 216
Answer:
the is option d cause big number is divided by small ones.
Step-by-step explanation:
hope it's right
Find the slope of the line? (0,0) (1,-3)
Answer:
1/-3
Step-by-step explanation: hope this helps
btw can have brainliest?
Answer:
-3/1
Step-by-step explanation:
y2-y1 -3 - 0 -3
x2-x1 1 - 0 1
What is the difference between heat and temperature?
How does a thermometer measure temperature?
When, if at all, does heat transfer stop?
Exit Ticket
What type of heat transfer occurs when eggs fry in a pan?
What type of heat transfer occurs when you roast a marshmallow by holding it over a campfire?
What type of food in which convection helps the cooking process? Explain your answer
When you touch a picnic table, your hand gets warmer. Explain how energy conservation applies to this situation
please answer these i give brainliest
Answer:
heat is hot and tempture is all
2x
+1 = 7
-Z | -1
= [?]
=
2x
3
Answer: nop
Step-by-step explanation:
Please help me answer!
Answer:
B
..................
Find mzC.
B
(2x – 12)
(9x – 26)
(4x + 43)
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°
f(x) = 2(x – 1)– 5 and g(x) = – 2x + 1 , determine the x-values of the points of intersection.
Answer:
x = 2Step-by-step explanation:
These are equations of lines with different slopes, so there is only one point of their intersect.
The point of intersect is where f(x) = g(x).
2(x - 1) - 5 = - 2x + 1
+2x +2x
2x - 2 - 5 + 2x = 1
+7 +7
4x = 8
÷4 ÷4
x = 2
Answer: x = 2
Explanation:
From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!
Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.
for algebra 2 please help <3
Answer:
A. 1
Step-by-step explanation:
✔️To find f(g(1)), first find g(1).
From the mapping given for g(x), the corresponding value of x = 1, is 0.
That is,
g(1) = 0
✔️Next is to find f(g(1)) by replacing x with 0 in f(x) = 3√x + 1
Thus:
f(g(1)) = 3√0 + 1
f(g(1)) = 0 + 1
f(g(1)) = 1
Could someone help me with this question?
Answer: thats correct
Step-by-step explanation:
In which quadrant does the point S(-3, -4) lie?
quadrant I
quadrant II
quadrant III
quadrant IV
It would be quadrant III
Answer:
Quadrant 3
Step-by-step explanation:
Quadrant 3: (-, -)
I REALLY NEED HELp!!!!!!!!
Retail Price Quantity Total Price
Twister Pen .35 * 2 = $0.70
Mini Fish Eraser .50 * 1 = $0.50
Happy Cap Eraser .05 * 5 = $0.25
Erasing Grip .35 * 3 = $1.05
---------
Subtotal .7 + .5 + .25 + 1.05 = $2.50
Sales Tax Amount (unknown because we aren't given a tax value)
Total (also unknown for the same reason)
Retail Price Quantity Total Price
Twister Eraser .35 * 3 = $1.05
Astral Wonders Pencils .20 * 4 = $0.80
Criss Cross Critters .15 * 2 = $0.30
Traction Mechanical
Pencil .35 * 2 = $0.70
Muchin Mike Sharpener .50 * 2 = $1.00
----------
Subtotal 1.05 + .8 + .3 + 0.7 + 1 = $3.85
Sales Tax Amount (unknown because we aren't given a tax value)
Total (also unknown for the same reason)
Best of Luck!
Jay has spent 3/8 of his life working for his current company. If Jay has been 8 3working for his current company for 15 years, how old is he?
Answer:
40 years old
Step-by-step explanation:
If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.
15 / 3 = 5 years
5 years = 1/8
Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.
5 years * 8 = 40 years old
PLEASE HELP ME 20 POINTS
Answer:
500
Step-by-step explanation:
$899 computer; 20% discount
Answer:
it knocks off $179.80 or the final cost which is $719.20.
Step-by-step explanation:
Answer:
$719.20
Step-by-step explanation:
899*0.2=179.8
899-179.8=719.2
What is the solution to the system of equations graphed below?
y=-4x + 33
y=5/3x-1
Answer:
x = 6
y = 9
This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.
Expert Verified Answer (of this same question but with a step-by-step explanation):
This is the link to rocioo's answer. https://brainly.com/question/13675950
what number is 386 more than the sum of 345 and 425
What is the slope of the line that passes through the points (a, b) and (c, b)?
