Step-by-step explanation:
12x - 17x = 8 + 4 - 42
-5x = -30
x = 6
Callie has $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, what is the price of one potato?
Answer:
0.95 or .95
Step-by-step explanation:
2(x+11)=3x=42simplify
Answer:
2x+22=42
Step-by-step explanation:
2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10
Divide 32x3 + 48x2 − 40x by 8x.
4x2 − 6x + 5
4x2 + 6x − 5
4x3 − 6x2 + 5
4x3 + 6x2 − 5
Answer:
4x^2 + 6x - 5.
Step-by-step explanation:
Dividing term by term:
= 4x^2 + 6x - 5.
By Dividing 32x^3 + 48x^2 − 40x by 8x, we get 4x^2 + 6x - 5. Thus, option B is correct.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We have to Divide 32x^3 + 48x^2 − 40x by 8x.
32x^3 + 48x^2 − 40x
Take 8x common from each term
8x(4x^2 + 6x − 5)
Dividing term by 8x term:
8x(4x^2 + 6x − 5) / 8x
= 4x^2 + 6x - 5.
Thus, option B is correct.
Learn more about quadratic equations;
brainly.com/question/13197897
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Which of the following are written in point-slope
form?
a) y + 2 = -9(x + 3)
b) y - 7 = 5(x + 1)
c) x - y = -3
d) y = -x +6
Answer:
y + 2 = -9(x + 3) and y - 7 = 5(x + 1)
Step-by-step explanation:
[tex]\text{Point-Slope form is:}\\\\y-y_1=m(x-x_1)\\\\\text{m - slope}\\\\(x_1,y_1) \text{ - a point}[/tex]
----------------------------------------
[tex]\text{Options A and B are written in point-slope form.}\\\\\\y+2 =-9(x+3)\\\\\text{The slope is -9 and the point used is (-3, -2).}\\\\\\y-7=5(x+1)\\\\\text{The slope is 5 and the point used is (-1, 7).}[/tex]
-----------------------------------------
[tex]\text{Option C is written in Standard Form.}\\\\Ax+By=C\\\\\\\text{Option D is written in Slope-Intercept Form.}\\\\y=mx+b\\\\\text {m - slope}\\\\\text{b - y-intercept}[/tex]
Hope this helps.
Consider the equation shown.
x – 3 = 2x + 14
What is the solution to the equation?
A. -17
B. -11
C. 11
D. 17
Answer:
A
Step-by-step explanation:
Given
x - 3 = 2x + 14 ( subtract x from both sides )
- 3 = x + 14 ( subtract 14 from both sides )
- 17 = x → A
Answer:
D
Step-by-step explanation:
we collect like terms to remain with
x-2x =14+3
-x =17
divide both sides by -1 to remain with
X = 17
answer for both and explain B
20+ points
Answer:
Given function:
g(x) = x² - 6x + ca)
c = 2Th x-intercept found when g(x) = 0
x² - 6x + 2 = 0Solve the equation to find the values of x:
x² - 6x + 2 = 0x² - 6x + 9 = 7(x - 3)² = 7x - 3 = ±√7x = 3 ± √7The x-intercepts are (3 + √7, 0) and (3 - √7, 0)
b)
c = 10Solve as above:
x² - 6x + 10 = 0x² - 6x + 9 + 1 = 0(x - 3)² = -1The left side is a square of a number which is always positive, the right side is negative.
It means there is no solution, so no-x-intercepts.
The graph of the function lies above the x-axis.
please help me and explain to me how you got the answer, pls don’t just say the answer explain how. will mark brainliest if you get it right!
Given:
The height of the swipe card in feet after t seconds is
[tex]h(t)=-3t^2+15t+18[/tex]
To find:
The maximum height of the swipe card and the time at which it reaches this height.
Solution:
We have,
[tex]h(t)=-3t^2+15t+18[/tex]
Here, leading coefficient is -3, which is negative. It means it is a downward parabola and the vertex of the downward parabola is the point of maximum.
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex is
[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]
In the given function, we get
[tex]a=-3,b=15,c=18[/tex]
Now,
[tex]-\dfrac{b}{2a}=-\dfrac{15}{2(-3)}[/tex]
[tex]-\dfrac{b}{2a}=2.5[/tex]
Putting t=2.5 in the given function, we get
[tex]h(2.5)=-3(2.5)^2+15(2.5)+18[/tex]
[tex]h(2.5)=36.75[/tex]
So, the vertex of the given parabola is at (2.5,36.75).
Therefore, the maximum height of the swipe card is 36.75 feet and it reaches this height after 2.5 seconds.
Please please help me before it's to late
Answer:
it is the 3rd one to the bottem
o.7 - 0.31 = 0.39
Step-by-step explanation:
Mrs. Diaz graded 24 tests in 0.5 hours. How many tests per hour did she grade?
Express as a trinomial.
(3x + 7)(3x – 9)
Answer:
9x² - 6x - 63
Step-by-step explanation:
Use the FOIL method. FOIL stands for First, Outside, Inside, Last.
Multiply following the FOIL:
3x * 3x = 9x²
3x * -9 = -27x
7 * 3x = 21x
7 * -9 = -63
9x² - 27x + 21x - 63
Combine like terms.
9x² (-27x + 21x) - 63
9x² - 6x - 63
9x² - 6x - 63 is your answer.
~
what is an equation of the line that passes through the points (-6, -2) and (-3,2)
Answer:
y = 4/3x + 6
Step-by-step explanation:
The ratio of the length to the width of a 5:4. The length of the cereal box is 60 centimeters. How wide is the box
Answer:
48
Step-by-step explanation:
60 = 5x
x = 12
12x4 = 48
5.
Write the slope-intercept form of the equation for the line.
A. y = – 2x – 1
B. y= (1)/(2)x + 1
C. y= (1)/(2)x - 1
D. y = 2x – 1
HELP DUE IN 60 MINS!
21. What should go in Reason 1?
22. What should go in Reason 2?
23. What should go in Reason 3?
These are the choices for the 3 reasons: Given, Alternate Interior Angles Theorem, AA Postulate, SAS Postulate, Reflexive Property of Congruence, SSS Postulate, Vertical Angles Theorem, Substitution Property.
Answer:
corresponding angle , Reflexive Property of CongruenceAA APostulate,A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answer:
The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet
Step-by-step explanation:
hope it helps !
Answer: 75 feet
Step-by-step explanation:
i just need the equation!
Answer:
let the no. of students in art class be x
then
9+4x=101
now u can solve it! u will get x = 23
how do i calculate the answer please help.
Which equation matches the graph?
Answer:
c
Step-by-step explanation:
please help me! im confused
Answer:
Mean:54
Step-by-step explanation:
Mean is the average number (total number of emails divided by how many days she sent them in)
Monday:28
Tuesday:46
Wednesday:52
Thursday:50
Friday:64
(28+46+52+50+64)/5
=270/5
=54
Answer:
48
Step-by-step explanation:
Monday- 28 emails
Tuesday-46 emails
Wednesday- 52 emails
Thursday-50 emails
Friday-64 emails
add them together- 240
240/5
The mean number of emails is 48
The lottery randomly draws 4 numbers out of 48 for a game and order doesn’t matter. A women selects 4 numbers, what is the probability the she wins the lottery?
Answer:
4/48 simplified by 4 = 1/12
The probability is 1/12
.............
Mr. Fisherman spent his weekend working in his yard. He had 1/6 of a bag of soil that he spread evenly among his 2 garden beds. How much soil did he put in each garden bed?
Answer:
1/12 per bag
Step-by-step explanation:
A Fisherman spent his weekend working on his farmland
He had 1/6 of a bag of soil
He spreads it evenly among his 2 garden beds
Therefore the soil in each garden bed can be calculated as follows
= 1/6 ÷ 2
= 1/6 × 1/2
= 1/12 per bag
Elsa earns 52 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let a be the amount (in dollars) that Elsa earns in a week if she sells b books. Write an equation relating a to b . Then use this equation to find the amount of money Elsa earns if she sells 17 books.
PLEASE HELP ASAP!
:(
Answer:
hit the square
Step-by-step explanation:
I'm pretty sure you have to hit the square and then that would be number two
Solve the following system of equations graphically on the set of axes below.
y = 3x - 3
y = -2+1
area of plane and composite figures
please help me ill mark you brainly and please show your work
Step-by-step explanation:
[tex] \frac{5}{8} (4x - 16) = 20[/tex]
[tex] \frac{5}{2} x - 10 = 20[/tex]
[tex] \frac{5}{2}x = 20 - 10[/tex]
[tex]x = 4[/tex]
I need help with this question
b divided 2 = 4.4
Answer: B= 8.8
Step-by-step explanation:
B/2 = 4.4
B/2 (2) = 4.4 (2)
B = 8.8
Mr. Choe solved the inequality and his work is shown below. 3x+5≤−1 −5 −5 3x≤−6 ÷3 ÷3 x≥−2 Identify and explain Mr. Choe's error.
Answer:
x ≤ - 2
Step-by-step explanation:
Given the inequality :
3x+5≤−1
Subtract 5 from both sides
3x + 5 - 5 ≤ - 1 - 5
3x ≤ - 6
Divide both sides by 3
3x/3 ≤ - 6/3
x ≤ - 2
Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.
hnhhhhhhhhhhhhhhhhhhh
Answer:
Step-by-step explanation:
First let's find the circle without the gray area. We would have:
[tex]\pi r^2=\pi 36^2=\pi1296[/tex]
Next let's find the area of the circle with the gray area. We would have:
[tex]\pi r^2=\pi50^2=\pi2500[/tex]
Now we subtract and get:
[tex](2500-1296)\pi=\boxed{1204\pi}[/tex]
HOPE THIS HELPS
Please <33333333333333333333333333333
Answer:
9e^5f^6
Step-by-step explanation: