Answer:
I imagine you aren't using calculus, so:
A: the leading term is [tex]1>0[/tex], so it opens upwards.
B. First coordinate of the vertex is [tex]-\frac b{2a}=-\frac42=-2[/tex], the second coordinate we'll find by replacing the value: [tex]f(-2)=(-2)^2+4(-2)-12 = 4-8-12=-16[/tex]
C. Quadratic formula or if you stare at the equation long enough you can rewrite the equation as [tex]f(x) = (x+6)\times(x-2)[/tex]. At this point the x intercepts are the zeroes of the function, or -6 and 2.
D. The y-intercept is the value of the function at 0, or the constant term: -12
E. The graph has a minimum since the curve opens upwards.
Find the circumference of a circle with a radius of 8 mm.
Answer:
C=50.27mm
Step-by-step explanation:
C=2πr=2·π·8≈50.26548mm
A sum of $1290 is to be divided between two people in the ratio of 7 to 8. How much does each person receive?
we know that $1290 is to be divided on a 7:8 ratio, so we'll start off by dividing 1290 by (7+8) and give each person accordingly
[tex]1290~~ at~~ 7:8\implies 7\cdot \cfrac{1290}{7+8}~~ :~~8\cdot \cfrac{1290}{7+8} \\\\\\ 7\cdot 86~~:~~8\cdot 86\implies 602~~ :~~688[/tex]
Given a conditional statement p → q, find the inverse of its inverse, the inverse of its converse, and the inverse of its contrapositive.
The inverse of an implication p ⇒ q is ¬p ⇒ ¬q.
The converse of p ⇒ q is q ⇒ p.
The contrapositive of p ⇒ q is ¬q ⇒ ¬p.
Then
• the inverse of the inverse of p ⇒ q is p ⇒ q
• the inverse of the the converse of p ⇒ q is ¬q ⇒ ¬p
• the inverse of the contrapositive of p ⇒ q is q ⇒ p
The formula below represents the standard form of a quadratic equation,
ax2 + b + c = 0
Solve for b.
Answer:
[tex]b=-a^2-c[/tex]
Step-by-step explanation:
Check all that apply. If csc=13/12 then:
A. sec =12/13
B. COS =12/13
C. tan =12/5
D. sin =12/13
Answer:
A. sec =12/13×
B. COS =12/13×
C. tan =12/5✓
D. sin =12/13 ✓
Step-by-step explanation:
we know,
using Pythagoras formula,
p=12,h=13 ,b=?
h^2 =p^2 +b^2
b=5
so tan = p/b
=12/5
sin=p/h and cosec= h/p
D. sin =12/13
factor the given expression. 64x^3-343
Answer:
( 4 x − 7 ) ( 16 x 2 + 28 x + 49 )
Step-by-step explanation:
Answer:
(4x - 7) (16x^2 + 28x + 49)
Step-by-step explanation:
Since both terms are perfect cubes, factor using the difference of cubes formula, a^3 - b^3 = (a - b) (a^ 2 + a b + b^ 2 ) where a = 4 x and b = 7 .
It is your birthday and you are going to get a new cellphone. The day you buy the phone, you will have to pay the $49 interest fee and a $200 down payment. The remaining balance of the phone will be paid off in 24 equal payments. The total bill is $980, including the interest fee and down payment. Write an equation to solve for p, the required monthly payments
Answer:
$30.46
Step-by-step explanation:
Total payment = down payment + interest fee + 24 equal payments
980 = 200 + 49 + 24 equal payments
24 equal payments = 24 * p, as we add p 24 times
980 = 249 + 24p
subtract 249 from both sides to isolate p and its coefficient
731 = 24p
divide both sides by 24 to isolate p
p = 30.46
You can walk 1/34 miles in 1/2 hour. What is your average speed?
Billy invests $5,000 in an account at 4.2% for 15 years, compounded monthly. Assuming no other deposits or withdrawals are made, how much will Billy have at the end of 15 years?
The amount Billy has at the end of the 15 years is $9,377.73.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P[tex](1 + r/n)^{nt}[/tex]
P = principal
r = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $5000
r = 4.2%
t = 15 years
n = 12
A = P[tex](1 + r/n)^{nt}[/tex]
A = 5000 [tex](1 + 0.0035)^{180}[/tex]
A = 5000 x [tex]1.0035^{180}[/tex]
A = $9,377.73
Thus,
Billy has $9,377.73 at the end of the 15 years.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ2
Solve 5 - 2x < 7.
A) x < -1
B) x > -1
0x<
-12
D) x>-12
Answer:
x < - 1
Step-by-step explanation:
You have to treat it is a linear equation.
First, - 5 from both sides, resulting in -2x < 2.
Lastly, you need to find x on it's own so you have to divide by - 2.
Therefore, the answer would be x < -1.
Hope this helps :)
4. The function y=-0.12x + 0.4 represents the percent y in decimal form of
battery power remaining x hours after turning on the laptop.
The slope is BLANK. This means the power is BLANK
by BLANK % per hour.
Please fill in blanks tysm
Answer:
Slope=0.12 power is down by 28%
Step-by-step explanation:
:)
Owen and Arianna are helping their friend Benjamin move. Owen can move one box for every two boxes that Arianna can move. If Owen moves twelve boxes, how many boxes can Arianna move?
Answer:
Ariana can move 24 boxes. Hope this helps.
Pls give brainliest. :D
Find the value of x need help
2^8 - (4+6)
can you please give me the answer
Solve for x: 5x + 15 = 28
A: 43/5
B: 13/5
C: 13
D: 43
[tex]\mathfrak{5x + 15 = 28} [/tex]
[tex]\mathfrak{5x = 28-15} [/tex]
[tex]\mathfrak{5x = 13} [/tex]
[tex]\boxed{\mathfrak{x = \dfrac{13}{5}}} [/tex] → option B.
[tex]\mathbb{MIREU} [/tex]
Answer:
B
Step-by-step explanation:
The first thing you need to do is,
28 - 15
which is 13.
Now look at the answer choices and multiply them by 5.
It cannot be C or D because it would not fit the equation.
If anyone of them equal 13 then it is the answer.
Now lets try it.
43/5 = 8.6
13/5 = 2.6
8.6 times 5 is way to big so A is not it.
2.6 times 5 is 13.
So it is B.
what is the answer i need done by midnight -15x+60<105
Answer:
[tex]x > -3[/tex]
Step-by-step explanation:
Isolate the variable. Treat the < sign like an equal sign, in that what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 60 from both sides of the equation:
-15x + 60 (-60) < 105 (-60)
-15x < 45
Next, divide -15 from both sides of the equation. Note that when you multiply or divide a negative number, you must flip the sign:
(-15x)/-15 < (45)/-15
x < 45/(-15)
x > -3
[tex]x > -3[/tex] is your answer.
~
6a(2 squared)b + 36ab
Answer:
try for an answer: 6ab • (18ab + a - 6b)
Hey , can you help me with this math equation ?
negative eight i multiplied by five i
The next two systems do NOT have opposite like terms.
Answer:
x = 0
y = -1
Step-by-step explanation:
Multiply second equation with -1
(-1) * (-3x - 8y) = 8
3x + 8y = -8 now find its sum with the first equation
2x - 8y + 3x + 8y = 8 - 8 add like terms (note that minus 8y will eliminate +8y)
x = 0 to find the value of y replace the x with 0 in the first equation
2*0 - 8y = 8
-8y = 8 divide both sides by -8
y = -1
What is the measurement of ADB?
A. 90
B. 95
C. 105
D. 145
Answer:
C)105
Step-by-step explanation:
sizde benim sorduğum soruları cevaplarsanız sevinirim doğru ve hızlı bir şekilde
How much pizza will each person get if 4 people share
of a pizza equally?
A)1/3
B)1/4
C)1/6
D)3/16
Answer: B)1/4
Step-by-step explanation: If you divide a pizza into 4 pieces, each person will get a fourth of the pizza.
A family bought a house for $386,230 and a car for $59,250. Estimate the family's combined expenses by rounding to the nearest thousand first and then add the rounded numbers.
Answer:
ok first we round them both
386230 is rounded to 386k
59250 is rounded to 59 k
386+59=445
445,000
Hope This Helps!!!
I need help. I have to find X to solve the equation.
Answer:
x=17.333
Step-by-step explanation:
3x+8=60
3x=60-8
3x=52
x=52\3
x=17.333
A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
7=4m +c( y intercept)
Step-by-step explanation:
use the formula y= mx +c
What is the slope
A) 1/3
B) 3
C) 2
Answer:
3 (B)
Step-by-step explanation:
rise/run
rise=3
run=1
3/1=3
2 3/7 + (-1 3/4) i need help please
Answer:
1/28
Step-by-step explanation:
2/7 divided by 3/4
Amanda
Answer:
2/7÷3/4=2/7×4/3=8/21
[tex] \rm \ \blue{ \overbrace{ \underbrace{ \tt \color{hotpink} \: \: \: \: \: \: \: \: \: \: answer \: \: \: \: \: \: \: \: \: }}}[/tex]
[tex]\large \color{pink} \frac{8}{21} [/tex]
Step-by-step explanation:
[tex] \huge \color{brown} \frac{2}{7} \div \frac{3}{4} [/tex]
divide by a fraction, multiply by the reciprocal of that fraction[tex] \large \color{hotpink} \frac{2}{7} \div \frac{4}{3} [/tex]
multiply the fraction[tex] \huge \color{darkblue} \frac{8}{21} [/tex]
hope it helpsif x+1/x=7,find x^2+1/x^2
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
How to find the derivative???
Answer:
[tex]y'= \dfrac{2}{3}e^{2x + e^{2x}/3}[/tex]
Step-by-step explanation:
We have [tex]e^{2x} = \ln(y^3)[/tex] and we want the implicit differentiation [tex]\dfrac{dy}{dx}f(x) = y'[/tex]
Therefore, we want to separate the [tex]y[/tex] from the equation.
[tex]\ln(y^3) =e^{2x} \implies 3 \ln(y) = e^{2x} \implies \ln(y) = \dfrac{e^{2x} }{3}[/tex]
[tex]\implies e^{\ln(y)} = e^{e^{2x}/3} \implies \boxed{y = e^{e^{2x}/3}}[/tex]
Now we can calculate the derivative. By the chain rule,
[tex]y' = \dfrac{d}{dx}\left(e^{e^{2x}/3}\right) = e^{e^{2x}/3}\dfrac{d}{dx}\left(\dfrac{e^{2x}}{3}\right)[/tex]
Now
[tex]\dfrac{d}{dx}\left(\dfrac{e^{2x}}{3}\right) =\dfrac{1}{3}\dfrac{d}{dx}\left(e^{2x}\right) = \dfrac{2}{3}e^{2x}[/tex]
Therefore
[tex]y' = e^{e^{2x}/3}\cdot \dfrac{2}{3}e^{2x} = \dfrac{2}{3}e^{2x + e^{2x}/3}[/tex]