Answer:
The remainder is -7; option D
Step-by-step explanation:
To find the remainder, simply substitute 2 into the polynomial
We have;
-3(2)^2 + 7(2) -9
= -12 + 14-9
= 14-21 = -7
find x and y
2x+4y=8
x=3y-
Answer:
If the "-" after "3y" is a typo, then y = 8/7, x = 24/7
Step-by-step explanation:
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 3 - x2 on the interval the closed interval from 0 to the square root of 3 . If so, find the x-coordinates of the point(s) guaranteed by the theorem
Answer: Yes, Mean Value Theorem for Integrals applies for the function [tex]f(x)=3-x^{2}[/tex] and values of x are 1 and -1
Step-by-step explanation: Mean Value Theorem for Integrals states that if a function is continuous on a closed interval, there is a value c on the interval such that
[tex]f(c)=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex]
where a and b are the closed interval given
As the graph of [tex]f(x)=3-x^{2}[/tex] shown below, the function is continuous on the interval [0,[tex]\sqrt{3}[/tex]], so the theorem applies.
To find the x-coordinates, first determine value of f(c) at [0,[tex]\sqrt{3}[/tex]]:
[tex]f(c)=\frac{1}{\sqrt{3} -0} \int\limits {3-\sqrt{x^{2}} } \, dx[/tex]
[tex]f(c)=\frac{1}{\sqrt{3}}[3x-\frac{x^{3}}{3} ][/tex]
[tex]f(c)=\frac{1}{\sqrt{3}}[ 3\sqrt{3}-\frac{(\sqrt{3})^{3}}{3} ][/tex]
[tex]f(c)=\frac{1}{\sqrt{3} } [2\sqrt{3} ][/tex]
f(c) = 2
The x-coordinates will be:
[tex]f(x)=3-x^{2}[/tex]
[tex]2=3-x^{2}[/tex]
[tex]x^{2}=1[/tex]
[tex]x=\sqrt{1}[/tex]
x = ±1
The values for x guaranteed by the Mean Value Theorem are +1 and -1.
What is the equation in slope-intercept form of the line that crosses the x-axis at (36, 0) and is perpendicular to the line represented by y=−49x+5
Answer:
y = 1/49x
Step-by-step explanation:
perpendicular lines have slopes that are opposite reciprocals. the y intercept is the second number in the point given (x,y). so the y intercept is 0
Answer:
b
Step-by-step explanation:
What is this answer plz help
Answer:
y=-3/4
i think
i dont know how to answer this question can anyone help plzz?
whats (14-7) multiplied by (40-32) plz gib right answer!
Answer:
56
Step-by-step explanation:
(14-7) x (40-32) = 7 x 8
= 56
Hope you understood :)
The value of 7 in 7.825 is 10 times 1 time or 1/10 times the value of 7 in 3.7
Answer:
It is ten times the value of the seven in 7.835
Step-by-step explanation:
7.825 x 1/10 = .7825
3.7 x 10 = 37
The seven shifted to the right in place value.
I hope this helps.
Answer:
10 times
Step-by-step explanation:
7 divided 0.7=10
Find the value of x.
I tried 40 but it told me it was incorrect.
Answer:
44
Step-by-step explanation:
90 - 43 = 47
x + 3 = 47
x = 47 - 3
= 44
I think the answer is 44. Pls check and correct me if I'm wrong.
. Solve the equation. -3/4 (x - 3) - 5 = 1/8 (x - 1) *
[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]
[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]
[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]
[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]
[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]
[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]
[tex] - 7x = 21[/tex]
[tex]x = \frac{21}{ - 7} [/tex]
[tex]x = - 3[/tex]
Carli can walk 40 dogs in 8 hours. How many dogs can she walk in 12 hours?
Answer:
60 dogs
Step-by-step explanation:
40/8 = 5 dogs per hour
12 x 5 = 60 dogs in 12 hours
What is the number in standard form?
Answer:
D-87,100,000
Step-by-step explanation:
Move the decimal point from its position to the right 7 times because of the 7 indicated as the power.
Please mark as brainliest
these two polygons are similar
Answer:
w=9
Step-by-step explanation:
Write the equation of the line that has the indicated slope and y-intercept.
Slope = 5; y-intercept = 9
Answer:
slope intercept form: y=5x+9
standard form: x-5/y =-9/5
Step-by-step explanation:
slope intercept form: y=mx+b, m=slope, b=y-intercept
m= 5, b=9 therefore,
y=5x+9
The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape soda: A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 2, 4, 6, 8, 10. Points are shown on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6 and 4, 8. These points are connected by a line. The label on the x-axis is Lemon lime Soda in cups. The title on the y-axis is Grape Juice in cups. What is the ratio of the number of cups of grape juice to the number of cups of lemon-lime soda? (1 point) a 2:1 b 1:2 c 8:1 d 1:8
Answer:
2:1
Step-by-step explanation:
I took the test
Answer:
I would say 2:1 too because for the grape, 2 is the first number which is alligned with 1 on lemon-lime
hope this helps!
Step-by-step explanation:
State if the given functions are inverses. *
Answer:
i beleive its a yes
Step-by-step explanation:
what’s the slope of (6,6) and (1,9)
Answer:
-3/5
Step-by-step explanation:
always remember rise by run. subtract the second y value from the first (9 minus 6) and the same with the x values (1-6). rise is y axis and run is x axis. therefore, you get 3/-5 or -3/5. (because 9-6 is 3 for the numerator and 1-6 is -5 for the denominator)
Graph the intercept.
What are points?
Answer:
start at 0 and go up 3 and put a point (your x)
start at 0 and also go up 5 and put a point (your y)
draw LINE HORIZONALY ACROSS THE (LEFT TO RIGHT ) on each line
you should have two horizonal lines parallel
Step-by-step explanation:
(2) 6(3n-3)=9 What is n?
Answer:
its 3/2
Step-by-step explanation:
6(3n-3)=9
18n -18=9
+18 +18
18n=27
------ ------
18 18
27/18=3/2
n=3/2
Please help the best you can!!
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. How many inches are there in 12 meters
Answer:
1200 centimeters
Step-by-step explanation:
if you have 100 centimeters in 1 meter and there are 12 meters you can just multiply the number of centimeters by 12 or whatever number is needed in this case 12 so when you multiply 12 x 100 you get 1200
Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £77.40.
They share the tips in the ratio 2:3:4.
How much more does Brian get over Paul?
=====================================================
Explanation:
x is some positive number such that the earnings of Paul, Collin, and Brian are 2x, 3x and 4x in that order
The ratio 2x:3x:4x reduces to 2:3:4 when we divide all parts by x
The total amount of tips was 77.40 pounds
This means,
(Paul's Share)+(Collin's Share)+(Brian's Share) = Total Tips
(2x)+(3x)+(4x) = 77.40
9x = 77.40
x = 77.40/9
x = 8.6
Use that x value to find each of their share of tips
Paul's Share = 2x = 2*8.6 = 17.20 poundsCollin's Share = 3x = 3*8.6 = 25.80 poundsBrian's Share = 4x = 4*8.6 = 34.40 poundsAs a check, note how 17.20+25.80+34.40 = 77.40
The last step is to subtract the values for Brian and Paul
34.40 - 17.20 = 17.20
Brian earned £17.20 more in tips compared to Paul.
find the missing exponent 7^(?)*(7^(5))^(4)=7^(34) place only the missing exponents value in the answer box
9514 1404 393
Answer:
14
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
__
(7^?)(7^5)^4 = 7^34
(7^?)(7^20) = 7^34 . . . . simplify power of power
7^(?+20) = 7^34 . . . . . . simplify product
? +20 = 34 . . . . . . . . . . equate exponents of the same base
? = 14
Answer: 14
Step-by-step explanation:
The regular price of a dress is $80. The price
has been marked up by 23%. What is the
amount of markup?
[A] $18.40
[B] $57.00
[C] $23.00
[D] $61.60
Answer:
A
Step-by-step explanation:
easy question... if someone starts with 100$ and adds 50 each week, how much will they have after 1 year
Answer:
They would have about $2500 after one year
Step-by-step explanation:
katie has 4 grapes candies and 3 cherries candies. The ratio of the number of grapes candies to the total number of candie is
Answer: 7 I think its adding but if its multiplying it is 12
Step-by-step explanation:
Answer:
4:3
Step-by-step explanation:
Hope this helps
The points (80, 20) and (120, 30) form a proportional relationship. What is the slope of the line that
passes through these points?
1
N
4
3
ООО
10
40
4
Previous
5
Answer:
The slope is 1/4.
Step-by-step explanation:
m = y2-y1 / x2-x1
Hope this helps. Pls give brainliest.
Answer:
The slop is 1/4
Step-by-step explanation:
m = y2-y1 / x2-x1
Gerald inherited $35,000 from his uncle. He spends $1400 a month. After how many months
will Gerald have less than $2,000?
Answer:
18 months
Step-by-step explanation:
35,000÷18=1944
First, we need to figure out the amounts of months that Gerald has total, with all of the money. So, we divide 35000 by 1400, this leaves us with 25. So, if he keeps spending 1400 per month, it will last him 25 months, but this is not what the question asks, is it? In 25 months, his inheritance will be fully depleted, in 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left (35000 - (24 * 1400))and in 23 months, he will have spent 32,200 dollars, meaning that he will have 2800 dollars.
"In 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left 35000 - (24 * 1400)"
35000 - (24 * 1400)
24 months
I don’t understand please help!!!
Answer:
The answer
Step-by-step explanation:
Explanation
Whats the slope of the equation 6x + 8y = 16?
Answer:
-3/4
Step-by-step explanation:
6x+8y=16
(subtract 6x from both sides)
8y=-6x+16
(divide everything by 8)
y=-6/8x+16
(simplify)
y= -3/4x+16
this is now in y=mx+b form. m=slope
Use the provided information to write the standard form equation of the parabola.
Opens up or down, and passes through (4,-5), (0,3), and (-1,10)
Answer:
f(x) = x² - 6x + 3Step-by-step explanation:
Parabola f(x) = ax² + bx + c passing through point (x₁, y₁) means if x=x₁ then f(x)=f(x₁)=y₁
(0, 3) ⇒ 3=a·0²+b·0+c ⇒ c=3
f(x) = ax² + bx + 3
(4, -5) ⇒ -5 = a·4² + b·4 + 3
-5 = 16a + 4b + 3
-4b = 16a + 8
b = - 4a - 2
(-1, 10) ⇒ 10 = a·(-1)² + b·(-1) + 3
10 = a - b + 3
b = a - 7
a - 7 = - 4a - 2
5a = 5
a = 1
b = 1 - 7 = - 6
So the equation:
f(x) = x² - 6x + 3