Step-by-step explanation:
-8x + 9 = 73
-8x = 73 -9
-8x = 64
x= - 64/8
x= -8
Violet bought snacks for her team's practice. She bought a bag of popcorn for $3.29 and a 15-pack of juice bottles. The total cost before tax was $27.14. Write and solve an equation which can be used to determine j, how much each bottle of juice costs.
How do you write an equation for this?
Answer:
popcorn 3.29$
popcorn + 15 pack juice = 27.14$
Step-by-step explanation:
15 pack juice= 27.14-3.29
15 pack juice=23.85
pack of juice=23.85/15
pack of juice=1.59$
The equation that shows the cost of each bottle of juice is 15j + 3.29 = 27.14 and the cost of each juice is $1.59
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let j represent the cost of each bottle of juice. The total cost before tax was $27.14, hence:
15j + 3.29 = 27.14
j = 1.59
The equation that shows the cost of each bottle of juice is 15j + 3.29 = 27.14 and the cost of each juice is $1.59
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How many x-intercepts would the function shown below have?
f(x) = x²(x + 4)(x + 4)
Answer: 2
(-4, 0) and (0, 0)
Step-by-step explanation:
does anyone know how to do this?
Answer:
100
Step-by-step explanation:
I thinks it 100 cuz 15x20= 300 and ⅓ of 300 is 100
15×20 = 300
1/3 × 300 =100
Step-by-step explanation:
15 rows multiplied by 20 seats to find out total number of seats and then you multiply by a third to find one third of the total seats
The map shows a linear section of Highway 35. Today, the Ybarras plan to drive the 360 miles from
Springfield to Junction City. They will stop for lunch in Roseburg, which is at the midpoint of the trip. If they
have already traveled 55 miles this morning, how much farther must they travel before they stop for lunch?
a. 125 mi
b. 145 mi
c. 180 mi
d. 305
They must travel 125 miles farther before they stop for lunch and option A is the correct answer.
We have,
The total distance of the trip is 360 miles.
They plan to stop for lunch at the midpoint of the trip, which is
360 / 2 = 180 miles.
Now,
They have already travelled 55 miles this morning.
To find out how much farther they must travel before stopping for lunch, we subtract the distance travelled from the midpoint:
180 - 55
= 125 miles.
Thus,
They must travel A. 125 miles farther before they stop for lunch.
Learn more about midpoints of line segments here:
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If x= -2, and y=3, then what is the value of
x^3y+ xy3?
Answer:
4
Step-by-step explanation:
lol
Answer:
-42
Step-by-step explanation:
Hope it helps!
y = f(x) has the derivative f'(x) = (x + 1)²(x + 3)(x² + 2mx + 5) with ∀x∈i.
find m so that g(x) = f(|x|) has exactly 1 extreme point
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Answer:
m ≥ -√5
Step-by-step explanation:
If g(x) = f(|x|) for x∈i, then g(x) = f(x) for x∈ℝ: x ≥ 0.
f'(x) is 5th-degree, so f(x) is 6th-degree, meaning it is generally U-shaped. Since we're only concerned with x ≥ 0, we want to make sure f'(x) has no real zeros of odd multiplicity such that x > 0. The given factors of f'(x) make it have real zeros at x = -3 and x = -1.
For the last factor, (x² +2mx +5) to have no positive real zeros of odd multiplicity, we must have m ≥ 0 or the discriminant ≤ 0. The discriminant is ...
d = b² -4ac = (2m)² -4(1)(5) = 4m² -20 . . . . . discriminant of the last factor
d ≤ 0 . . . . . . . . . . the condition for no real zeros
4m² -20 ≤ 0
m² -5 ≤ 0 . . . . . . divide by 4
m² ≤ 5 . . . . . . . . .add 5
|m| ≤ √5 . . . . . . . take the square root
This tells us there will be a positive real zero of multiplicity 2 in f'(x) when m = -√5, and there will be no positive real zeros for -√5 < m < 0
There will be no odd-multiplicity positive real zeros in the derivative function f'(x) as long as m ≥ -√5. This means the slope of f(x) is non-negative for x ≥ 0, hence f(|x|) has its only minimum at x=0.
_____
Additional comment
The multiplicity of the zeros of f'(x) is important because the derivative will only change sign where the multiplicity is odd. When the discriminant of (x²+2mx+5) is zero, the associated positive real zero will have multiplicity 2, hence f'(x) will not change sign there.
Can you help work question number 4 please?
Step-by-step explanation:
if 2 sides are equal which means it is an Isosceles triangle
so,
→ 52 + 52 + c = 180
→ 104 + c = 180
→ c = 180 - 104
→ c = 76°
d = 52°
hope this answer helps you dear! take care and may u have a great day!
A package of 8 hot dogs is on sale for $4.00. What is the price per hot dog?
each hot dog is 50 cents. Because .50+.50+.50+.50+.50+.50+.50.50=4 We know each hot dog is worth .50 cents because a pack of 8 HD cost $4 so each HD would need to cost less that a dollar. hope this helps!
Charlotte bought 25 cookies to share with her class, and 5 of them are oatmeal raisin. What percent of the cookies are oatmeal raisin?
Answer:
20%
Step-by-step explanation:
25 divided by 5 = 5
Convert to decimal
0.20
Convert to percentage
20%
Answer:
20%
Step-by-step explanation:
25 divided by 5=5
convert to decimal
0.20
convert to percentage
20%
Find the surface area of a cylinder with a base radius of 4 cm and a height of 7 cm.
Use the value 3.14 for a, and do not do any rounding.
Be sure to include the correct unit.
Answer: 276.32cm³
Step-by-step explanation:
Surface area, A, of a cylinder is given by the formula:
A = 2*pi*r*h + 2*pi*r²
r = radius
h = height
Substituting pi for 3.14 gives:
A = (2 * 3.14 * 4 * 7) + (2 * 3.14 * 4²)
A = 276.32cm³
I've put them in brackets, but this is not necessary.
which asymptotes are determined by looking at the denominator
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Answer:
vertical
Step-by-step explanation:
A rational function often tends to infinity when its denominator tends to zero. Thus the zeros of the denominator correspond to vertical asymptotes.
What are the values of w and x?
Answer:
10x = 60. Given: 10x = 60. X = 60/10. X = 6. Therefore, the value of x is 6.
Step-by-step explanation:
the value of x is 6 and the value of w is 14
Please help answer a-d
Answer:
a) 4 to the 14th power
b) 12 to the 9th power
c) 5 to the 7th power
d) 7 to the 3rd power
Step-by-step explanation:
a) [tex]4^{6}[/tex] · [tex]4^{8}[/tex] equals 4 to the 14th power.
Using the Product Rule of Exponents:
[tex]a^{m} a^{n} = a^{m+n}[/tex]
You could add the exponents since they have the same base.
b) [tex]12^{6}[/tex] · [tex]12^{3}[/tex] equals 12 to the 9th power.
Same Product Rule applies as we did in problem a).
c) [tex]\frac{5^{10} }{5^{3} }[/tex] equals 5 to the 7th power.
Using the Quotient Rule of Exponents:
[tex]\frac{a^{m} }{a^{n} } = a^{m - n}[/tex]
You'll have to subtract the exponents since they have the same base.
[tex]\frac{5^{10} }{5^{3} } = 5^{10 - 3} = 5^{7}[/tex]
d) [tex]\frac{7^{6} }{7^{3} }[/tex] equals 7 to the 3rd power.
Same Quotient Rule applies as we did in problem c).
[tex]\frac{7^{6} }{7^{3} } = 7^{6 - 3} = 7^{3}[/tex]
How many geometry teachers does it take to change a light bulb
Answer:
Im not sure I think 1 because it's not that hard
Jennifer pays $12.50 a month for Amazon Prime and pays extra every time she rents a movie. One month she rented 1 movie and paid $17.75. Another month she paid $49.25 and rented 7 movies.
Answer: y=5.25x+12.50
Step-by-step explanation:
The original 12.50 is how much she pays each month regardless of rented movies, it is the 0 value and doesn't change. Each rented movie costs 5.25 (17.75-12.50=5.25) and that value would be multiplied by the amount of movies she rents that month, and then added onto the original base value.
please help ill mark brilliant
Answer:
2Step-by-step explanation:
Look at the picture.
I will give you 10 points
Which one is the larger average rate, -3.142 or -0.5?
Answer:
The answer to this question is -3.142
expres in simplest form:
Answer:
5x2+8x-6
the 2 is little
Answer:
5[tex]x^{2}[/tex] - 10
Step-by-step explanation:
(3[tex]x^{2}[/tex] + 4x - 8) - (-2[tex]x^{2}[/tex] + 4x + 2) = 3[tex]x^{2}[/tex] + 4x - 8 + 2[tex]x^{2}[/tex] - 4x - 2
= 5[tex]x^{2}[/tex] - 10
Hope this helps :)
NEED THIS ASAP
If RS = 6.6, find RT:
Answer:
12.12
Step-by-step explanation:
multiplye them by 2
Which equation gives the line shown on the graph? 9 y = 2x + 4 10 9 ON y = 2x – 4 y y= 4x + 4 5 1 NEN 3 Y= - 12 - 4 2 1 012 3 4 5 6 7 8 9 10
Answer:
A
Step-by-step explanation:
I think though im not sure
write the equation of a line that is perpendicular to the line y=-6 and passes through the point (3,7)
Step-by-step explanation:
when two lines are perpendicular to each other( the product of their slope; m1m2 = -1)
m1 = -1/m2
m1 = -1/-6= 1/6
using the formula m= y-y1 / x - x1
1/6 = y -7 /x - 3
6(y -7) = x -3
6y -42 = x - 3
6y - x -39 =0
Divide both sides by 6
y - 1/6 x - 13/2= 0
y = 1/6 x + 13/2
Divide -2 1/9 ÷ 7 3/5. Explain each step you used to find the quotient
Answer:I am not sure.
Step-by-step explanation:
You are making a window frame in shop class. Two pieces of wood are cut to form complementary angles so they fit together properly. One angle needs to be (2x + 14)° and the other angle needs to be (3x +11)° . What is the measure of the larger angle? *
Answer:
90 degress
Step-by-step explanation:
2x+14+3x+11=90
5x+25=90
5x=65
x=13
2(13)+14+3(13)+11+ X = 180
26+14 + 39 + 11 + X = 180
40+50+x=180
90+x=180
x=90
Your other angle is 90 degrees.
Please please help please please help me please please help please please help me please please help please please AND SHOW YOUR STEPS PLEASE HELP ME PLEASE PLEASE
Answer:
Step-by-step explanation:
a) Sum = - 6
Product = - 16
Factors = (-8) ; (2 {-8 + 2 = -6 ; (-8) * 2 = -16}
y = x² - 6x - 16
= x² + 2x - 8x - 16
= x(x + 2) - 8(x + 2)
= (x +2)(x -8)
b) y = 0
(x +2 )(x -8) = 0
x + 2 = 0 ; x - 8 = 0
x = -2 ; x = 8
(-2) ; 8 are the zeros.
Math need help I’m tired
i'm thinking infinitely.
i'm not 100% sure maybe someone else may correct me .
construct equation
i think of a number multiplied by 5 added by 6 the answer is 41
can any show me working
Step-by-step explanation:
(x × 5) +6=41
5x + 6=41
5x =41-6
5x=35
x=(35/5)
x=7
Expand and simplify 2(3x - 4) - 2(x - 5)
Answer:
(6x-8)-(-2x-10)
4x-18
Write the equation of the line in fully simplified slope intercept form
Answer:
y = -x + 8
Step-by-step explanation:
In writing an equation of a line, keep in mind that you ALWAYS need the following information in order to establish a linear equation:
1. 2 ordered pairs (x,y) on the line
2. Slope
We'll use points (1, 7) and (0, 8).
Let (x1, y1) = (1, 7)
(x2, y2) = (0, 8)
Now that we have the two ordered pairs, substitute their values into the following slope formula:
m = (y2 - y1)/(x2 - x1)
m = (8 - 7) / (0 - 1)
m = 1 / -1 = -1
Therefore, the slope of the line, m = -1.
Next, we need to determine the y-intercept, (b). The y-intercept is the y-coordinate of the point (0, b ) where the graph crosses the y-axis. The y-intercept is also the value of y when x = 0. Looking at the graph, we can see that it crosses the y-axis at point (0, 8). We used this point earlier to solve for the slope. The y-intercept, b = 8.
Therefore, the linear equation in slope-intercept form is: y = -x + 8.
Please mark my answers as the Brainliest if you find this helpful :)
Answer:
y = –x + 8
Step-by-step explanation:
the line is negative and decreasing by –1/1 (rise over run is the slope). a slope of 1 can be represented by writing "x". in this case the slope is –x. the b in mx+b represents the y-value that the graph starts at. in this it starts at 8.
What is 2,967 by 21 estimate
Answer:
60,000
Step-by-step explanation:
2,967 can be rounded to 3,000
21 can be rounded to 20
3,000 x 20 = 60,000