Evaluate the expression 3x^2+4x^3 when x=4.
Step-by-step explanation:
304
plug 4 in for x
3(4)^2 + 4(4)^3 = 304
48 + 256 = 304
Solve the inequality for x. –3x + 6 < 15 Question 1 options: x > –7 x < –7 x < –3 x > –3
Answer:
x < - 3
Step-by-step explanation:
Given the inequality :
-3x + 6 < 15
Collect like terms :
-3x < 15 - 6
-3x < 9
Divide both sides by - 3
-3x / 3 < 9/3
x < - 3 (sign changes as we have divides by a negative)
What are the solutions to this quadratic equation? 5x2-7x-18=0
Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]
Plug in the values and simplify:
[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]
Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ2
PLEASE HELP ASAP!!!!!!!
help plwase due soon
Trina has posted 6 less than 3 times as many pictures on her social media page than Ella Trina posted 96 pictures the equation below represents their relationship where e is the number of photos that Ella has posted 3e-6=96 how many photos has Ella posted
A.30
B.34
C.270
D.306
Answer:
the answer for this question is C.270
ILL BRAINLIEST YOU AND GIVE U TEN EXTRA POINT IF YOU GET IT RIGHT
PLEASE HELP SOLVE THIS WITH EXPLANATION PLEASE
Answer:
[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)
Step-by-step explanation:
Reference angle = θ
Opposite side = 16 (length of the side opposite the reference angle)
Hypotenuse = 44
Apply trigonometric function SOH:
[tex] sin(\theta) = \frac{Opp}{Hyp} [/tex]
Substitute
[tex] sin(\theta) = \frac{16}{44} [/tex]
[tex] \theta) = sin^{-1}(\frac{16}{44}) [/tex]
[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)
What is the coefficient of the second term in this expression?
4+5c
Answer:
The coefficient of the second tern in the expression , 4+ 5c, is 5
Step-by-step explanation:
Second term: 5c
C is a variable,therefore, making 5 the coeffiecient.
Graph the following features:
Slope - 1/2
Y-intercept = -1
Step-by-step explanation:
start at -1 as your starting point then go down one over 2
The population of Sanibel, Florida can be modeled by P= 6191 . 1.054, where t is the number of years since 2016.
A. What was the population in 2016?
B. What percent did the population increase by each year?
40 points if u answer
Answer:
A 5873.814042
B 90%
Step-by-step explanation:
Britney's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 2 single-shot espressos and 18 double-shot espressos. What percentage of the espressos sold were single-shot?
Answer:
10% of espressos sold are single shot espressos.
Step-by-step explanation:
Single shot espressos, as percentage of total espressos sold =
[ Single espressos / Total ( ie Single + Double shot) ] x 100
[ 2 / (2 + 18) ] x 100
(2 / 20) x 100
= 10%
y=x+1 and 2y=5-x find x and y
Answer:
x = 1
y = 2
Step-by-step explanation:
substitution method:
y = x+1
2(x+1) = 5 - x
2x + 2 = 5 - x
3x = 3
x = 1
find 'y':
y = 1+1
y = 2
——PLEASE HELP QUESTION IS IN THE PIC—
Answer:
d. 4/5
Step-by-step explanation:
40% of what number is 43
Answer:
107.50
Step-by-step explanation:
107.50 times 40 percent is 43
Answer: the answer is 107.5
Step-by-step explanation:
use
is/of = %/100 the / are fraction
7+6-9(-2)+(-3) simplify step by step plzzzx
=13+18-3
=31-3
=28
the answer is 28
Answer:
28
Step-by-step explanation:
According to Order of Operations rules, we must multiply here before adding or subtracting.
In 7 +6 - 9(-2) + (-3) the very first thing we must do is to evaluate the product -9(-2). This comes out to 18, so now we have:
7+6 + 18 +(-3).
Next, remove the remaining parentheses, obtaining:
7 + 6 + 18 - 3, or
13 + 15 = 28
200+5-4+e+9000+100-200
Answer:
9103.71828183
Step-by-step explanation:
9103.71828183=200+5-4+e+9000+100-200
In the equation: (16)^3=2^3/2x how could you solve for x?
Answer:
x = 8
Step-by-step explanation:
16 is the same as 2^4
(2^4)³ = 2^3/2x
2^12 = 2^3/2x
as long as bases are both the same then set exponents equal
12 = [tex]\frac{3}{2}[/tex]x
3x = 24
x = 8
50 Benson purchased a $1,800 certificate of deposit that earns s
of 1 year, the certificate was worth $1,857.60.
What is the annual interest rate on this certificate of deposit
Answer:
3.2%
Step-by-step explanation:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
2 1/2 + 2 1/3 + 3 2/3
Answer:
8 1/2
Step-by-step explanation:
2 1/2 + 2 1/3 + 3 2/3
= 2 3/6 + 2 2/6 + 3 4/6
= 7 9/6
= 8 3/6
= 8 1/2
Please Help. Question attached. (No Links Please!)
It's D, 15!/(15 - 5)! .
15! is the number of ways of permuting 15 objects. In other words, if you have 15 open positions,
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _
from the 15 total objects you can pick, there are 15 choices for the first position, 14 for the second, 13 for the third, and so on, so that there is a total of
15 * 14 * 13 * … * 2 * 1 = 15!
possible arrangements.
But you're taking 5 objects at a time, so we only have 5 positions to fill:
_ _ _ _ _
and there are 15 choices for the first position, 14 for the second, 13 for the third, 12 for the fourth, and 11 for the fifth, so the total number of arrangements is
15 * 14 * 13 * 12 * 11 = 15!/10! = 15!/(15 - 5)!
In a game, players roll a 6-sided dice. Each side has dots ranging from 1 dot to 6 dots. For the player to win the prize, a dice must show a side containing multiples of 3 dots. What is the probability of winning the prize?
1/6
1/2
5/6
1/3
Answer:
1/6 cause there is a 1 in 6 chance each time you roll the die
Step-by-step explanation:
Need help asap pleas and thank you .
Answer:
The answer that is not true when x = -4 is B.
Step-by-step explanation:
Since x = -4, that means all we have to do to eliminate answers is plug -4 in place of x.
A is incorrect because 2 × -4 = -8, which means that answer IS true and we're looking for the one that isn't true.
Same with C, -4 + -4 + -4 added together gives you -12 = -12, therefore isn't the right choice.
Finally D. -4/4 divided equals -1, so that would make it -1 = -1.
B is the only one that doesn't make sense, therefore you have your answer.
HELP ME!!!!!!!!Write the sentence as an equation.
253 is equal to the total of 203 and b
Answer:
203 + b = 253
Hope this helps!
Question 1
2 pts
(09.05)
At an intersection, the red light times are normally distributed
with a mean time of 3 minutes and a standard deviation of 0.25
minutes. Approximately what percent of red lights last between
2.5 and 3.5 minutes? (2 points)
32%
68%
Answer: The percent of red lights last between 2.5 and 3.5 minutes = 95.44% approx.
Step-by-step explanation:
Given: Mean time = 3 minutes
standard deviation = 0.25 minutes
The probability of red lights last between 2.5 and 3.5 minutes :-
[tex]P(2.5<x<3.5)\\\\=P(\dfrac{2.5-3}{0.25}<\dfrac{x-\mu}{\sigma}<\dfrac{3.5-3}{0.25})\\\\=P(-2<z<2)\\\\=2P(Z<2)-1\\\\=2(0.9772)-1\\\\=0.9544[/tex]
The percent of red lights last between 2.5 and 3.5 minutes = 95.44% approx.
Yes or no????????????
Answer:
Yes
Step-by-step explanation:
If a triangle follows the Pythagorean theorem, then it is right. The Pythagorean theorem states the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs or sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse, side opposite the right angle, the longest side.
Substitute in the given values and solve,
[tex](6)^2 + (8)^2 = (10)^2\\\\36 + 64 = 100\\\\100 = 100[/tex]
The given side lengths form a right triangle.
In the diagram below, AQRS is an equilateral triangle and RT I QS.
R
Q
S
7
Which statement must be true?
O A. QR = RT
B. RT = 2 · QT
O C. AQRT is a 45-45-90 triangle.
O D. AQRT is a 30-60-90 triangle.
Santiago is trying to earn experience points in his newest game. He knows that finding
gophers will get him the most points. His number of experience points after his first attempt
can be represented by the linear equation - 24x + 2y = 900, where y represents Santiago's
total number of experience points and x represents the number of gophers he finds.
What is the slope of the line? What does this represent?
F The slope is 12; he earns 1 point for every 12 gophers he finds.
G The slope is 450; he earns 1 point for every 450 gophers he finds..
# The slope is 12; he earns 12 points for each gopher he finds.
J The slope is 450; he earns 450 points for each Igopher he finds.
Correct Answer is on the attached image
Underwood Grocery Store had seven bunches of bananas, and each bunch had six bananas. A customer buys four bananas. Complete and solve the number sentence below to find how many bananas the grocery store has left
PLEASE HURRRRRRY! My life depends on it!!
Step-by-step explanation:
c²=a²+b²
b²=c²-a²
b²=10²-9²
b²=100-81
b²=19
b=✓19
b=4,35
The initial balance in a savings account is $1,285. After which transactions will the final balance be the same as the initial balance?
pls help
Answer:
A deposit of 215$ and a withdraw of 215$
Step-by-step explanation:
The deposit amount is equalized and removed by the withdraw value.
