what two numbers multiply to 1/4 and add to -1
Answer:
25
Step-by-step explanation:
just look it up
simplify (2x + 3) (3x^2 + x + 1)
Answer:
6x^3 + 8x + 9x^2 + 3
Step-by-step explanation:
(2x + 3) (3x^2 + x + 1)
6x^3 + 3x + 2x + 9x^2 + 3x +3
6x^3 + 5x + 3x + 9x^2 + 3
6x^3 + 8x + 9x^2 + 3
Mr. Boon went to the fair and bought 2 churros (x) and 3 sodas(y) for a total of $12.
The equation 2x + 3y = 12 demonstrates the situation.
If the sodas cost $2 each, how much do the churros cost? (Don't forget the units)
Answer:
$3
Step-by-step explanation:
Plug in 2 for y, so you get 2x + 3(2) = 12, and that simplified would be
2x + 6 = 12. Next, subtract 6 from both sides, so you get 2x = 6. Divide 2 by both sides to get 3!
Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).
Answer:
[tex]y=-\frac{7}{2}x+8[/tex]
Step-by-step explanation:
Given the equation
[tex]y\:=\:\frac{2}{7}x+9[/tex]
comparing the equation with the slope-intercept form
[tex]y =mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is 2/7
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: -7/2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]
[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]
[tex]y=-\frac{7}{2}x+8[/tex]
10 clothspins are strung on a line. Each is 8 cm from the previous clothspin. How many centimeters is it from the first clothspin to the last clothspin? ______ cm.
f (x) = 2x + 4
Solve for x when f (x) = 17
(IF YOU GET A DECIMAL, LEAVE IT AS A DECIMAL)
Lucia is 5.5 feet tall. She is standing on the roof of a building that is 80 feet tall. She spots a fountain at ground level that she knows to be 122 feet away from the base of the building. What is the measure of the angle of depression formed by Lucia's horizontal line of sight and her line of sight to the fountain? Round your answer to the nearest degree.
Answer:
125°
Step-by-step explanation:
So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following
tan(y) = opposite / adjacent
tan(y) = 122 / 85.5
tan(y) = 1.4269
y = [tex]tan^{-1}[/tex](1.4269)
y = 54.97
Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x
180 - 54.97 = 125.03
Answer:
about 35°
Step-by-step explanation:
tan^-1(85.5/122)
35.02352736°
=35°
Translate five times the sum of a number and three into a mathematical expression
Answer:
5(x-3)
Step-by-step explanation:
The word "SUM" means the answer to an "ADDITION".
"SUM" is always used with the word "AND" to indicate which numbers are being added.
The SUM of a number AND -3 is written as:
( x + ( − 3 ) ), or ( x -3 )
(where we have chosen the number to be x .)
But we want FIVE of those sums; this means:
5 ( x − 3 )
Mickey needs $80 to buy a fish tank for Nemo. So far he has been able to save $8. He is going to be cleaning up this weekend at the park where he makes $9 per hour. Which inequality shows the minimum number of hours h , that Mickey can work at the park to earn enough to buy the fish tank for Nemo?
a. 8 + 9n ≤ 80, so n ≤ 8
b. 8 + 9n ≥ 80, so n ≥ 8
c. 9n ≥ 80 + 8, so n ≥ 9.8
d. 9n ≤ 80 + 8, so n ≤ 9.8
Answer:b
Step-by-step explanation:
A rectangular garden has an area of 360 square feet. the length of the garden is 9 feet longer than the width. find the dimensions of the garden in feet
[tex]\huge\underline{\frak{ \: \: \: \: \: \: Solution : \: \: \: \: \: \: }} \\ \\ [/tex]
[tex]\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \: be \: x}}\\ \sf{\orange{The \: Length = x + 9}}\end{cases} \\ [/tex]
[tex]\bigstar \: \underline{\textsf{According to the given Question :} }\\ \\[/tex]
[tex]:\implies \sf Area = Length \times Breadth \\ \\ \\ [/tex]
[tex]:\implies \sf 360=(x + 9 ) x \\ \\ \\ [/tex]
[tex]:\implies \sf 360= {x}^{2} + 9x \\ \\ \\ [/tex]
[tex]:\implies \sf {x}^{2} + 9x - 360 = 0\\ \\ \\ [/tex]
[tex]:\implies \sf {x}^{2} + 24x - 15x - 360 = 0\\ \\ \\ [/tex]
[tex]:\implies \sf x(x + 24) - 15(x + 24) = 0\\ \\ \\ [/tex]
[tex]:\implies \sf (x + 24) \: (x - 15) = 0\\ \\ \\ [/tex]
[tex]:\implies \underline{ \boxed{ \sf x = - 24 \: or \: x = 15}}\\ \\ \\ [/tex]
[tex]\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\ \\ \\ [/tex]
_____________________...[tex]\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\ \\ [/tex]
[tex]\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\ \\ [/tex]
[tex]\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\ \\ [/tex]
I need help with this Question Will give Brainliest
Answer:
Ishaan is 44
Step-by-step explanation:
If a coffee bar sells on average 12 ounces of coffee every three minutes during the busy morning hours, how many gallons of coffee do they sell in 4 hours?
Answer:
7.5 gallons
Step-by-step explanation:
divide 12 by 3 to get oz per minute. 4
do 60 × 4 to get total minutes 240
4×240=960
put 960 oz into gallons and get 7.5
There are no results for The impedance Z in an AC (alternating current) circuit is a measure of how much the circuit impedes (hinders) the flow of current through it.The impedance is related to the voltage and the current by the formula V = IZ.If a circuit has a current of (0.4 + 3.0i) amps and an impedance of (0.3 – 2.0i) ohms, find the voltage. Options: A) 0.7+i B) .07+5i C) 0.1+5i D) 6.12+1i
Answer:
Step-by-step explanation:
If the impedance is related to the voltage and the current by the formula V = IZ where;
V is the voltage
I is the current
Z is the impedance
Given
I = 0.4+3i
V = 0.3-2i
Voltage V = (0.4+3i)(0.3-2i)
V = 0.4(0.3)-0.8i+0.9i-6i²
V = 0.12+0.1i -6i²
Since i² = -1
V = 0.12+0.1i-6(-1)
V = 0.12+0.1i+6
V = 6.12+0.1i.
Hence the impedance is 6.12+0.1i
anyone know this pleas help
Answer:
x [tex]\leq[/tex] 17/4
Step-by-step explanation:
help my sister grow on ig at: boop.butters
HELP ME PLS ILL MARK AS BRAINLESS
Answer:
A. 10:2, simplifies to 5:1
B. 2:6, simplifies to 1;3
C. 5 cars there are 3 trucks
D. Motorcycle
Step-by-step explanation:
Which of the following coordinate planes shows the graph of the function y-3=-2(x+2)?
Answer:
-5=x
Step-by-step explanation:
3=-2 (x+2)
-2 (x+2) = -2x-4
3=-2x-4
-4 from 3 and -4
= -7=-2x
do the opposite "-2 to +2 "
=-5=x
PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!
Answer:
-2
Step-by-step explanation:
its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2
Answer my questio down below plz and thank you!!
The temperature was 2.5°C below zero. After 4 hours, the temperature was now 5.6°C
above zero. What is the difference in temperature?
Show your work
Explain your answer
And THXS
A store sells a 10-pound bag of flour for $5.20. If Larry can buy a 2-pound bag of flour at the same rate, what would be the price of the 2-pound bag?
Answer:0.52
Step-by-step explanation:$5.20 divided 10
change subject of the formula to x
x (5b - 2) = 2b +3
Answer:
x = [tex]\frac{2b+3}{5b-2}[/tex]
Step-by-step explanation:
Given
x(5b - 2) = 2b + 3 ← isolate x by dividing both sides by (5b - 2)
x = [tex]\frac{2b+3}{5b-2}[/tex]
Ross is shopping for mulch that costs $1.29 per cubic foot. During his first trip to the store, he bought 16.5 cubic feet. He needs another 4.5 cubic feet to complete his landscaping project.
Answer:
$27.09 in all
Step-by-step explanation:
$1.29 × 16.5 = $21.285
$1.29 × 4.5 = $5.805
$21.285 + $5.805 = $27.09
HELPPPPPPPPPPPPPPPPPPP))))))))************
Answer:
The first option.
Step-by-step explanation:
5*6=30 and 9*6=54. We're just multiplying what we had originally by 6, meaning we'll have the same shade, but in a bigger quantity.
(BRAINLYEST TO RIGHT ANSWER) A group of 281 people is going on a boat tour. If each boat holds 8 people, how many people will be on the last boat?
Answer:
1
Step-by-step explanation:
use division.
281 divided by 8
which is in all 35, but there is a remainder
and that remainder is 1
so one person will be on that last boat
Find the measure of the indicated angle to the nearest degree.
A. 40
B. 57
C. 33
D. 50
Answer:
50(Option D)
Step-by-step explanation:
Trigonometry
Inverse trig for this
So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan
tan^-1(56/47)
We get 49.993744 and so on
So rounded to the nearest degree, that is 50.
Use the slope formula to find the slope of the line that goes through the points ( 6, -5) and (3, 4). 13 3 −1/3 -3
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{ - 5 - 4}{6 - 3} \\ [/tex]
[tex]slope = \frac{ - 9}{3} \\ [/tex]
[tex]slope = - 3 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
can someone help me please?
Answer:
y= 3x-1
Step-by-step explanation:
Use two points from the line to find slope. I'm using (1,2) and (2,5)
Put these values into slope formula and get 5-2/2-1 which simplifies to 3. So slope is 3.
Next, for the y-intercept. If you look closely, the line intercepts the y-axis at (0,-1), so our y-intercept is -1.
Put the equation together to get y=3x-1
Hope it helped.
What is the value of y in the equation 2(4y - 1) = 6? (4 points)
8y-2=6
8y=8
y=1
The value of the y is 1.
− 3 x + 12 = x , then x =
Answer:
x=3
Step-by-step explanation:
-3x+12=x
12=x+3x
12=4x
x=12
4
x=3 hope it helpu
Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)
Answer:
(5,4)Step-by-step explanation:
[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]
Answer:
(5,4)
Step-by-step explanation: