Step-by-step explanation:
7x^×2-16x-15
14x^-16x-15
What is the solution and graph for the following inequality?
5x + 2 > -48
Answer:
x > -10
Step-by-step explanation:
First subtract the 2 from both sides. This gets you to 5x > -50. Last, you divide both sides by 5 and get an answer of x > -10.
(20,-8); 7x - 4y = -5
The question is incomplete.
However, from the given parameters, a likely question could be to:
1. Write an equation in slope intercept form through (20,-8) and is parallel to 7x - 4y = -5
or
2. Write an equation in slope intercept form through (20,-8) and is perpendicular to 7x - 4y = -5
Answer:
See Explanation
Step-by-step explanation:
First, we calculate the slope of [tex]7x - 4y = -5[/tex]
[tex]7x - 4y = -5[/tex]
Subtract 7x from both sides
[tex]7x-7x - 4y = -5-7x[/tex]
[tex]- 4y = -5-7x[/tex]
Make y the subject
[tex]\frac{- 4y}{-4} = \frac{-5-7x}{-4}[/tex]
[tex]y = \frac{-5-7x}{-4}[/tex]
[tex]y = \frac{5+7x}{4}[/tex]
[tex]y = \frac{5}{4}+\frac{7}{4}x[/tex]
[tex]y = \frac{7}{4}x+\frac{5}{4}[/tex]
The general format of an equation is:
[tex]y= mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = \frac{7}{4}[/tex]
Solving (1): Parallel
Here, we assume that the line is parallel to the given equation.
And as such, it means that they have the same slope
So, we have:
[tex](x_1,y_1) = (20,-8)[/tex]
and
[tex]m = \frac{7}{4}[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - (-8) = \frac{7}{4}(x - 20)[/tex]
[tex]y +8 = \frac{7}{4}(x - 20)[/tex]
Open bracket
[tex]y +8 = \frac{7}{4}x - \frac{7}{4}*20[/tex]
[tex]y +8 = \frac{7}{4}x - 7*5[/tex]
[tex]y +8 = \frac{7}{4}x - 35[/tex]
Make y the subject
[tex]y = \frac{7}{4}x - 35-8[/tex]
[tex]y = \frac{7}{4}x -43[/tex]
Solving (2): Perpendicular
Here, we assume that the line is perpendicular to the given equation.
And as such, it means that the following relationship exists between their slope:
[tex]m_2 = -\frac{1}{m_1}[/tex]
Where
[tex]m_1 =m =\frac{7}{4}[/tex] -- as calculated above
Substitute 7/4 for m1 in [tex]m_2 = -\frac{1}{m_1}[/tex]
[tex]m_2 = -\frac{1}{7/4}[/tex]
[tex]m_2 = -\frac{4}{7}[/tex]
So, we have:
[tex](x_1,y_1) = (20,-8)[/tex]
and
[tex]m_2 = -\frac{4}{7}[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - (-8) = -\frac{4}{7}(x - 20)[/tex]
[tex]y +8 = -\frac{4}{7}(x - 20)[/tex]
Open bracket
[tex]y +8 = -\frac{4}{7}x + \frac{4}{7}*20[/tex]
[tex]y +8 = -\frac{4}{7}x + \frac{80}{7}[/tex]
Make y the subject
[tex]y = -\frac{4}{7}x + \frac{80}{7}-8[/tex]
[tex]y = -\frac{4}{7}x + \frac{80-56}{7}[/tex]
[tex]y = -\frac{4}{7}x + \frac{24}{7}[/tex]
Take LCM
[tex]y = \frac{-4x + 24}{7}[/tex]
Samuel orders four DVDs from an online music store. Each DVD costs $9.32. He has a 25% discount code,
and sales tax is 6.5%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
The total cost of Samuel's order is $
Answer: $7.44
9.32(0.25) = 2.33
9.32-2.33=6.99
6.99(0.065)=0.45
6.99+0.45=7.44
Step-by-step explanation:
Answer: $34.13
Step-by-step explanation:
i added a picture of the steps.
Can someone help me please and thank you
Answer:
C right on A P E X
Step-by-step explanation:
I checked it and it’s right hope this helps!
Answer:
The answer is B.30
Step-by-step explanation:
sorry if i get this wrong, and was it multiple choice by any chance cuz it kinda looks like it. But i'll still go with B.
For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make the
inequality a true statement when substituted for "t"? (The integers for -10 through 10 are shown below.)
{-10,-9,-8, -7, -6, -5, -4,-3,-2,-1,0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
ILL MARK BRAINLIEST IF IT WORKS!!
30 points! HURRY PLEASE
Answer:
we have the same question but I have know clue what the answer is
с
7 km
24 km
What is the length of the hypotenuse?
h
kilometers
C =
Submit
Answer: 25
Step-by-step explanation:
The hypothenuse will be gotten by using Pythagoras formula. This will be:
Hypotenuse² = Opposite² + Adjacent²
Hypotenuse²= 7² + 24²
Hypotenuse² = 49 + 576
Hypotenuse² = 625
Hypotenuse = ✓625
Hypotenuse = 25kilometer
pllsss I needddd helpp
30% in simplest form
Answer:
I think it's 3/10
Step-by-step explanation:
What is an equation of the line that passes through the point (2,-3) and is perpendicular to the line 2x+5y=10?
===============================================
Explanation:
Consider the standard form Ax+By = C
Anything perpendicular to this is Bx-Ay = D. We swapped the positions of A and B, and changed the plus sign to a minus. This will ensure we get a negative reciprocal slope needed for the perpendicular line. The slope of the first line is -B/A, while the slope of the second line is A/B. The two slopes multiply to -1 assuming neither A nor B are zero.
Also, I've introduced the constant D. There may be cases when C = D, but that isn't always the case.
The given equation is 2x+5y = 10. This tells us A = 2, B = 5, C = 10.
The perpendicular line will be of the form 5x-2y = D, based on the template I mentioned above.
Plug the coordinates (2,-3) into 5x-2y = D to find the value of D
5x-2y = D
5(2)-2(-3) = D
10+6 = D
16 = D
D = 16
So 5x-2y = D updates to 5x-2y = 16
Therefore, 5x-2y = 16 is perpendicular to the original line, and this new line goes through (2,-3)
Is x^2 + 5x -3x^-2 polynomial
which decimal is greater 7.512 or 7.396
Answer:
7.512
Step-by-step explanation:
because 7.5 is greater than 7.3
what is 7(x+5) in distributive property
Answer:
7x+35
Step-by-step explanation:
7(x+5)
Distribute
7*x + 7*5
7x+35
Final Answer: [tex]7x + 35[/tex]
Steps/Reasons/Explanation:
Question: What is [tex]7(x + 5)[/tex] in distributive property?
Step 1: Expand by distributing terms.
[tex]7x + 7[/tex] × [tex]5[/tex]
Step 2: Simplify [tex]7[/tex] × [tex]5[/tex] to [tex]35[/tex].
[tex]7x + 35[/tex]
~I hope I helped you :)~
ANSWER PLEASE!!!
name the property of real numbers illustrated by the equation. -2(x+4) = -2x - 8
Answer:
distributive property
Step-by-step explanation:
Andrea had $43.50 to spend on groceries. After buying 4 boxes of cereal, she had $27.70 left. If each box of cereal costs the same amount, what is the price of one box of cereal?
Answer:
$3.95
Step-by-step explanation:
43.50-27.70=15.80
15.80÷4=3.95
There are 5 roses in a vase of 11 flowers,the rest are daisies
what is the ratio of roses to daisies
Principal, 2000$; Annual interest rate, 5.5%; time, 4 years
Answer:
$440
Step-by-step explanation:
Interest=Principal × Rate × Time/100(Formula)
We have to find the Interest.
Interest = $2000× 5.5 × 4/100
100 Interest = 44000
Interest = 44000/100
Interest = $440(Answer)
simple interest
formula = PRT/100
P = 2000$
rate = 5.5%
time = 4 years
= 2000 x 5.5 x 4 / 100
= 440$
amount = S.I. + P
= 2000 + 440
= 2440
compound interest
formula for amount = P( 1 + r/100 )^n
= 2000( 1 + 5.5/100 )^4
= 2000 (100/100 + 5.5/100)^4
= 2000 ( 105.5/100 )^4
2000 x 105.5/100 x 105.5/100 x 105.5/100 x 105.5/100
= 2 x 105.5 x 105.5/10 x 105.5/100 x 105.5/100
= 211 x 105.5/10 x 105.5/100 x 105.5/100
= 2215.5 x 105.5/100 x 105.5/100
= 2,454.22
compound interest = A - P
= 2454.22 - 2000
= 454.22
3n+2 What is the value of the 3rd term?
Answer:
11.
Step-by-step explanation:
Plug n = 3 into the expression:
3(3) + 2 = 11.
I need to solve the equation 6n + 21 = - 3 - 2n
Answer:
n= -3
Step-by-step explanation:
First, your're going to subtract from both sides
6n + 21 - 2 1= -3 - 2n - 21
Then simplify
6n = -2n - 24
Then add 2n on both sides
6n + 2n = -2n -24 + 2n
Simplify again
8n = -24
Then divide both sides by 8
8n/8 = -24/8
Then simplify and this is your answer
n= -3
Use the expression to complete the statements.
(0.5)10
(0.5)10 is the _____.
A. base
B. exponent
C. power
(0.5) is the ______ of (0.5)10.
A. base
B. exponent
C. power
10 is the ______ of (0.5)10.
A. base
B. exponent
C. power
A power is another way to write _________.
A. repeated addition
B. repeated division
C. repeated multiplication
D. repeated subtraction
Answer:
B
A
A
C
Step-by-step explanation:
I know the third answer is correct but the first two were a bit confusing for me do you have anymore context?? like is it supposed to be (0.5)^10
because then 10 would be the power and 0.5 is the exponent.
Answer:
C A B C
Step-by-step explanation:
Read the excerpt from Heart of a Samurai.
Goemon jumped up. “Agreed,” he said, jamming his “knife” into his sash and slashing at Manjiro’s “sword.” Their imaginary swords clashed and clattered as they lunged or leaped aside to avoid being hit.
Which words contribute most to the excerpt’s pace?
A. “imaginary” and “aside”
B. “sash” and “swords”
C. “slashing” and “lunged”
D. “Goeman” and “Manjiro”
Answer:
The anwsear is B, slashing and lunged :)
Have a great day!
Answer:
C. “slashing” and “lunged”
Step-by-step explanation:
someone pls answer my recent maths question ;-;
3. Melissa is making a piece for a stained glass window that has the shape and measures shown below. Point Cis the center of the partial circle that forms one corner of the stained glass piece. 6 in C 1 1 10 in. 1 11 12 in which area is the closest to the area of the stained glass piece in square inches? Use 3.14 form.
Answer:
184.26 i dont exacaly know but i think it is just let me know if im right or wrong
Step-by-step explanation:
Some simplify this plz 12x + 1.5x - 2-7
Answer:
13.5x + 5
Step-by-step explanation:
12x + 1.5x - 2 - 7 (you always want to work left to right)
13.5x - (2 - 7) (you are free to use the associative property here to isolate like terms)
13.5x - (-5) (remember a number less in value subtracted from a higher value will result in a negative value; giving you this value for instance.)
13.5x + 5 (now since it was basically subtracting a negative from 13.5x you can technically say the same thing by turning the negative value to a positive however you must do the opposite of subtraction as well.)
If 5 pipes of similar size can fill a tank in 1 hour with water.Find the time required to fill the tank by 10 pipes ?
More pipes less time.
5 pipes means 1h ergo 10 pipes means half, that is 30min.
Hope this helps.
Answer:
It will take 30 minutes to fill the tank with 10 pipes.
Step-by-step explanation:
5 x 2 = 10
It will be half the time because 5 is half of 10
30 minutes.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
20 Pour chacune des fonctions affines suivantes,
déterminer le coefficient directeur de leur
représentation graphique et en déduire le sens
de variation de la fonction.
1. f(x) = -2x + 1 2. g(x)=3-x
xſ-1
3. h(x) = 2 +
2
4.1(x) =
3
3
Answer:
2x+14-562-3838(789):
please help me will mark you brainliest
Some please help!! I will give brainliest
Answer:
[tex]f(x) = 3(x - 1)^{2}[/tex]
Step-by-step explanation:
This function should have a form similar to
[tex]f(x) = ax^{2} +bx+c[/tex]
The function that reminds me the most of the function that is drawn on the grid is the following function......
[tex]f(x) = 3(x - 1)^{2}[/tex]
There are 12 grams of sugar in 1⁄3 of a piece of candy. How much sugar is in 3⁄4 of a piece of candy?
Answer:
27 grams of sugar
Step-by-step explanation:
If 1/3 candy contains 12 grams of sugar
Then 3/4 candy contains C grams of sugar
C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar
-14 + b = -20
b=? ...
6. Solve the problem.
How close must a fireman place a 40-foot ladder to reach a cat stuck atop a 24-foot tree? (Find the distance from the base of the ladder to the tree.)
0 32 ft
0 16 f
64 ft
46.65 ft
Answer: 32
Step-by-step explanation:
we have in this case right triangle with a leg equal to 24 and a hypotenuse equal to 40
c^2=a^2+b^2
40^2=24^2+b^2
b^2=1600-576=1024
b=sqrt1024=32