Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
Hi, I need help answering 7x+5x+1=73 and I keep getting it wrong. HELP!!
Answer:
x = 6
Step-by-step explanation:
7x+5x+1=73
12x+1=73
12x=72
x= 6
Find the height of triangle whose are is 1500m2 and base 7.5 cm
Answer:
x = 400 m^2
Step-by-step explanation:
[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]
Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20
Answer:
0
Step-by-step explanation:
20 cancels itself out so
-4x = x
-4x - x = 0
-5x = 0
divide both sides by -5x
x= 0 but we don't write it out
For the equation -4x+20 to have infinite solution , it should be equal to
-4x+20 = -4x+20 , so the blank value is -4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be -4x+20 = blank x + 20
Now ,
If the lines are coincident and have the same y-intercept, an endless solution can be generated.
The two lines with the same y-intercept and slope are the same line.
If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.
So , Both the equations should be equal for it to have infinite solutions
Therefore , -4x+20 = -4x+20
Hence , the value of the blank is -4
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HELP I WILL GIVE BRANLIEST What is the slope of the line in the graph?
Answer:
the solpe is 1x or just x
Step-by-step explanation:
rise over run both are 1
Answer:
[tex]\boxed {\tt m=1}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line.
Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:
[tex]x_1=1\\y_1=2\\x_2=4 \\y_2=5[/tex]
Substitute the values into the formula.
[tex]m=\frac{5-2}{4-1}[/tex]
Solve the numerator. Subtract 2 from 5.
[tex]m=\frac{3}{4-1}[/tex]
Solve the denominator. Subtract 1 from 4.
[tex]m=\frac{3}{3}[/tex]
Divide 3 by 3.
[tex]m=1[/tex]
The slope of the line is 1.
- 3m + 6 (m - 2) = 9
Answer:
m=7
Step-by-step explanation:
step 1: -3m+6m-12=9
step 2: 3m-12=9
step 3: 3m=21
step 4: m=7
Answer:
m=7
Step-by-step explanation:
1. Simpilfy both sides of the equation & combine like terms
2. Add 12 to both sides
3. Divide 3 from both sides
21 divided by 3 equals 7.
How can parallel lines be used to compare figure E and F? Explain your reasoning.
please tell me what x is 3(x+6)=48
Answer
X=10
Step by step explanation
48÷3 = 16
16-6 = 10
does 3 times 9.99 give me 29.97?
Answer:
Yes it does.
Step-by-step explanation:
Answer:Simple and best practice solution for 9.99 is what percent of 29.97. Check how easy it is, ... 100=3*x - we divide both sides of the equation by (3) to get x 100/3=xno it does not
Step-by-step explanation:
-5x - 12 + 8x - 8
Your answer
Answer:
(3x)-20
Step-by-step explanation:
Answer:
3x-20
Step-by-step explanation:
You just collect like terms. you add -5x + 8x = 3x and -12+-8 =-20
This table displays the height of a balloon as it floats away.
A 2-column table with 6 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13, 14, 15. Column 2 is labeled Height (feet) with entries 64, 73.5, 83, 92.5, 102, 111.5.
What is the rate of change for the height as the time increases by 1 minute?
Rate of change =
Answer:
The rate of change is 9.5 ft/min
Step-by-step explanation:
every minute the balloon rises in 9.5 feet increments
Answer:
its 9.5
Step-by-step explanation:
solve this equation 3/10x-4=40-2x
I Am Pretty Sure The Answer Is x=440/23
Hope This Help's
hey how do you do this problem
10 times 1200000000000000
Answer:
1.2e+16
hope it helps :)
Find the coordinates of the midpoint of the segment with endpoints (-8,5) and (4, -3)
Answer:
[tex]MP= (-2,1 )[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]
Write -2.32 as a mixed number in simplest form.
Answer:
- 2 8/25
Step-by-step explanation:
Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)
Answer:
-2.32 as a mixed number is -2 32/100 = -2 8/25
The price to mail a letter at the post office is $0.49 for the first ounce
and $0.21 for each additional ounce. Amrit paid $1.96 to mail his letter.
How much did the letter weigh?
pleaseeeeeeee help me
Answer:
by my best guess, x = -5 (negative five)
Step-by-step explanation:
‼️Please help‼️
Find the value of x and RT if RS=24 cm
RS = RT + TS = 24 cm
Let's plug our values into the equation above
24cm = 6x - 4 + 10cm
Combine like terms
24 cm = 6x + 6 cm
Subtract 6 cm from both sides
18 cm = 6x
Divide both sides by 6
3 = x
Plug 3 into the expression for RT
RT = 6(3) - 4 = 18 - 4 = 14 cm
Similarly, we know that TS = 10 cm and RS = 24 cm
24 cm - 10 cm = 14 cm
RT = 14 cm
14 cm = 6x - 4
Add 4 to both sides
18 cm = 6x
Divide both sides by 6
3 = x
give the slope of the line (if it exists) and the y intercept (if it exists) and graph the line 5y=3. what is the slope?
Answer:
0
Step-by-step explanation:
what is
-4|5+m|
[tex]m = - 3[/tex]
Steps to solve:
-4|5 + m|
~Substitute
-4|5 - 3|
~Simplify
-4|2|
~Multiply
-8
Best of Luck!
3. There are 15 members in student council. Each member must pay a yearly due
of$22.50. During the first month of school 6 members paid their yearly dues. The
remaining members paid their dues in the second moth of school. How much
money was collected in dues during the second month of the school year?
Answer:
202.50 was collected in the second month of school
Step-by-step explanation:
thee are fifteen total members and 6 had already paid witch means that 9 still had to pay. 9 times 22.50 is 202.50
Please help me out people! Probability I guess!..........................................................................................................................................................there are 10 marbles. you get two out of the bag. how much percent of the marbles did you take out?
Answer:
20%
2 out of 10 marbles is 2/10.
Convert 2/10 to a percentage.
2/10 = 20%.
The answer is 20%. Hope it helps!
Answer:
20 percent
Step-by-step explanation:
I can't get the percentage sign . lol
find the 120th term of the following sequence
7, 14, 21, ...
a120 =
Answer:
840
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 14 - 7 = 21 - 14 = 7
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 7 , thus
[tex]a_{120}[/tex] = 7 + (119 × 7 ) = 7 + 833 = 840
Please help me with this!
if 18 more than twice a number is -10,what is the number?
Answer:
-14
Step-by-step explanation:
Let the number be x
[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]
Probability.
!!!!!!!!!!!!!!
will mark brainliest
Answer:
2/9ths hope this helps!
Please mark brainliest.
Step-by-step explanation:
PLEASE HELP ITS EASY suppose you are converting x kilograms to ounces. will the number of oz be less than or greater than x?
Answer:
greater
Step-by-step explanation:
greater beacause 1 kilo =35.274 ounce
At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?
Answer:
$5 and $3
Step-by-step explanation:
Cost of banana split = b
Cost of hot fudge sundae = s
b + 2s = 114b + 3s = 29From the first equation we get:
b = 11 - 2sReplacing in the second equation:
4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3Then
b = 11 - 2*3 = 11 - 6 = 5So banana split costs $5 and hot fudge sundae costs $3
-3 - 3x = -4(2x + 7)
Answer : x=−5
Step-by-step explanation: Step 1: Simplify both sides of the equation.
−3−3x=−4(2x+7)
−3+−3x=(−4)(2x)+(−4)(7)(Distribute)
−3+−3x=−8x+−28
−3x−3=−8x−28
Step 2: Add 8x to both sides.
−3x−3+8x=−8x−28+8x
5x−3=−28
Step 3: Add 3 to both sides.
5x−3+3=−28+3
5x=−25
Step 4: Divide both sides by 5.
5x /5 = −25 /5
x=−5
Answer:
x=−5
A small toy car costs $3 a large toy car costs 5 times as much as the small one Aaron want to buy 1 of each which equation can be used to find the cost a of the 2 cars
Answer:
$18
Step-by-step explanation:
small -$3
large - $15
3+15=18
Answer: The equation is $3 + ($3 x 5)
Step-by-step explanation:
You add $3 to 3 multiplied by 5 to get the cost of the second car which will then give you the cost of both cars. Then you simplify and get $3 + $15 which gives us the answer $18. So the cost of both the cars is $18.