Explanation:
If x+2 is a factor of the other polynomial mentioned, then x = -2 is a root of that polynomial.
This means plugging x = -2 into the cubic expression will have it result in zero.
x^3- kx^2 +3x+7k = y
(-2)^3- k*(-2)^2 +3*(-2)+7k = 0
-8 - 4k - 6 + 7k = 0
3k - 14 = 0
3k = 14
k = 14/3
Can someone check if this is right or did I solve it wrong?
The function y = f (x) is linear. Given f-¹ (0) = 3 and f (1) = - 4, find the formula f (x) and f-¹ (x).
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
3 and 0.75x = 10 and 0.25x what is x
Answer:
14
Step-by-step explanation:
with "and" you mean "+" ?
if so, then
3 + 0.75x = 10 + 0.25x
you know that it is perfectly OK to add or subtract the same number to/from both sides of the equation ?
the same for multiplication and division.
the important thing is to do always the same thing to both sides.
1. subtracting 3 from both sides
0.75x = 7 + 0.25x
2. subtracting 0.25x from both sides
0.5x = 7
3. dividing both sides by 0.5
x = 7/0.5 = 7 / 1/2 = 7 × 2/1 = 14
the scale of a map is 1cm : 17km. find the actual distance corresponding to the map distance. the distance on the map is 2.5cm
Step-by-step explanation:
1cm:17km so
2.5cm=17*2.5=42.5
please help!! show work needed
Answer:
the answer is 46 hope it helps
Find the coordinates of point D in each diagram:
Answer:
Thank you for these points
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yeah thanks.
Have a great day!
Please solve question 6 with steps i’m having so much trouble
If you still need help just respond, I'll type it out
How do you use bodams
Answer:
Step-by-step explanation:
The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43). Children can get the wrong answer of 35 by working from left to right.
please help me. I will give a lot of points!!!
Answer:
The value of this expression is A: 3Step-by-step explanation:
the area of a trapezoid is 42 square feet and its height is 4 feet. the length of one base of the trapezoid is 9 feet. what is the lenght of its other base
Answer:
12
Step-by-step explanation:
area of a trapezoid :
[tex]A = \frac{a+b}{2} h[/tex]
where a and b = length of bases and h = height
here, we are given the area, the length of one base and the height
we want to find the other base length
we can do this by plugging in what we are given and then solving for the unknown variable
first lets define our known variables
Area (A) = 42 , height (h) = 4 and length of one of the bases (a) = 9
we then plug this into the formula and solve for b, the other base length
recall formula : [tex]A = \frac{a+b}{2} h[/tex]
A = 42 , h = 4 , a = 9
[tex]42 = \frac{9+b}{2} 4[/tex]
now solve for b
divide both sides by 4
[tex]10.5=\frac{9+b}{2}[/tex]
multiply both sides by 2
21 = 9 + b
subtract 9 from both sides
12 = b
the other base length is 12
help please! i will give brainliest
Answer:
x=6
Step-by-step explanation:
[tex]4(x+5)=9x+4x-34[/tex]
Step 1 :[tex]4x+20=9x+4x -34[/tex]
At step one, you have distributive property.
Step 2:[tex]4x+20=13x-34[/tex]
Step two you have to combine like terms.
Step 3:[tex]4x-4x+20=13x-4x-34[/tex]
Now is subtraction property
Step 4:[tex]20+34=9x-34+34[/tex]
additon
Step 5:[tex]\frac{54}{9}=\frac{9x}{9}[/tex]
division
x=6
Need help with these two questions.
Answer:
Answer is below :)
Step-by-step explanation:
Hope this helps you!
Rationalise the denominator
Answer:
30+12(square root of 5)
Step-by-step explanation:
Answer:
30 + 12[tex]\sqrt{5}[/tex]
Step-by-step explanation:
To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.
The conjugate of 2[tex]\sqrt{5}[/tex] - 4 is 2[tex]\sqrt{5}[/tex] + 4 , then
[tex]\frac{12\sqrt{5}(2\sqrt{5}+4) }{(2\sqrt{5}-4)(2\sqrt{5}+4) }[/tex] ← expand denominator using FOIL
= [tex]\frac{120+48\sqrt{5} }{20-16}[/tex]
= [tex]\frac{120+48\sqrt{5} }{4}[/tex] ( divide each term on numerator by 4 )
= 30 + 12[tex]\sqrt{5}[/tex]
Please help me math and Thanks
Answer:
(- 7, - 4 ) and (4, 7 )
Step-by-step explanation:
under a clockwise rotation about the origin of 180°
a point (x, y ) → (- y, - x ) , then
(- 7, - 4 ) → (4, 7 )
Solve and reduce to lowest terms: 8/11 x 1/2
Hii!
8/11×1/2 is 8/22
Simplified to
8/22->4/11
Hope dis helps:]]
Brainliest?
help me with geometry please
Answer:
140 = aangle 1
In rectangle ABCD, the diagonals AC and BD intersect at E. If AE = 2x+4 and BD = 8x - 32, then the length of AC is
The length of the diagonal AC is equal to the length of the diagonal BD,
which is 8×10 - 32 = 48.
Response:
The length of AC is 48Which properties of a rectangle is used to find the length the diagonal AC?The given parameters are;
The diagonals of the rectangle are AC and BD
The point of intersection of the rectangle = Point E
AE = 2·x + 4
BD = 8·x - 32
Required:
The length of AC
Solution:
The diagonals of a rectangle bisect each other and have equal length.
Therefore;
AE = [tex]\mathbf{\frac{1}{2}}[/tex] × BD
Which gives;
[tex]2 \cdot x + 4 = \mathbf{\dfrac{1}{2} \times \left(8 \cdot x - 32\right)}[/tex]
2·x + 4 = 4·x - 16
4·x - 2·x = 4 + 16 = 20
2·x = 20
[tex]x = \dfrac{20}{2} = 10[/tex]
x = 10
AC = 2 × AE
Which gives;
AC = 2 × (2·x + 4) = 4·x + 8
The length of AC = 4 × 10 + 8 = 48
Learn more about the properties of a rectangle here:
https://brainly.com/question/13000024
TBH, i am not sure what im doing. Here is a pic of the question.
Answer:
7
Step-by-step explanation:
The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.
Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.
Now, the problem becomes evaluating g(2).
You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.
Now, you know ...
g(h(-3)) = g(2) = 7
Select ALL the true statements.
Answer:
A.
C.
Step-by-step explanation:
A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.
B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8
C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.
D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.
E. Two negative signs make a positive, so 72 + 100 is positive, not negative.
To make a specific hair dye, a hair stylist uses a ratio of 1 oz of red tone, oz of gray
tone, andoz of brown tone.
1. If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
2. If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
Answer:
5.9 oz red tone,
1.7 oz gray tone,
2.9 OZ of brown tone
Warren bought cupcakes for his sister's birthday party. 40% of the 35 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
Answer:
14 cupcakes
Step-by-step explanation:
40 percent of 35 is 14
Answer:
14 cupcakes had sprinkles.
Step-by-step explanation:
Write 40% as 40/100. Since finding the fraction of a number is the same as multiplying the fraction with the number, we have 40/100 of 35 = 40/100 × 35.
This is End behavior. I’m not sure how to do it. 50 Points
Answer:
The 2nd option
Step-by-step explanation:
As x approaches postive and negative infinity, y approches negavite infinity
Write an explicit equation for the sequence based on the graph at right.
Answer:
[tex]t(n)=12 \cdot 3^{n-1}[/tex]
Step-by-step explanation:
From inspection, the points on the graph are:
(1, 12)(2, 36)(3, 108)Therefore, as terms of a sequence:
[tex]t_1=12\\\\t_2=36\\\\t_3=108[/tex]
The difference between the y-coordinates is not equal, therefore the sequence is geometric.
Geometric sequence formula: [tex]t_n=t_1r^{n-1}[/tex]
As [tex]t_1=12 \implies t_n=12r^{n-1}[/tex]
To find r, divide one term by the previous term:
[tex]r=\dfrac{t_3}{t_2}=\dfrac{108}{36}=3[/tex]
Therefore, geometric sequence formula: [tex]t_n=12 \cdot 3^{n-1}[/tex]
Maysoun drove 1116 kilometers in 12 hours. At the same rate, how long would it take her to drive 651 kilometers?
Answer:
7
Step-by-step explanation:
At a sale this week, a sofa is being sold for $731. This is a 15% discount from the original price.
What is the original price?
Desiree buys two bracelets for a little more than $40 before tax. When she gets home, her mother asks her how much each bracelet costs. Desiree cannot remember the individual prices. Use indirect reasoning to show that at least one of the bracelets cost more than $20.
Answer:
#FOR MY OPINION
hes have some $40 dollars before doing the tax
and she buy the bracelet bracelet prise is $5
AND HER MOTHER ASK THE BRACELET AND HER MOTHER GET SOME $20 DOLLARS THE TOTALY IS- $15.4
Step-by-step explanation:
What is the product of 2,871
326?
Answer:
The product would be 935,946
Step-by-step explanation:
When you are asked the product of something you have to multiply it so 2,871 x 326= 935,946
Hope this helps:)
Answer: Product of 2 x 871326 will be 1742652
Step-by-step explanation:
2×8 7 1 3 2 6
1 2
4 0
6 0 0
2 0 0 0
1 4 0 0 0 0
1 6 0 0 0 0 0
1 7 4 2 6 5 2
please help!!! does anyone know what the numbers would be to x and y? i’ll give brainlest!!!
Answer:
x=-1 y=-4
x=0 y=-5
x=1 y=-6
x=2 y=-7
Step-by-step explanation:
Rewrite the equation 3x – 5y=30 in slope-intercept form.
a. y= -3/5x +30
b. y= -5/3x -6
C. x= 5/3y -6
d. y = 3/5x - 6
Answer: D) y = 3/5x - 6
The correct answer is D. The equation in slope-intercept form is y = 3/5x - 6.
Step-by-step explanation:
Hope this helps =)
find the side of the cubical box whose volume is 262144 cm3.
Answer:
64 cm
Step-by-step explanation:
take the
cube root of 262144
what is f(g(x)) when f(x)=3x+1 and g(x)=4x^2-4
Answer:
f(x)=3x+1 = (-1/3, 0)
g(x)=4x^2-4 = (1, 0), (-1, 0)
Step-by-step explanation:
Hope this helped!
Answer:
f(g(x)) = 12x² - 11Step-by-step explanation:
Given:
f(x) = 3x + 1g(x) = 4x² - 4Find f(g(x)):
f(g(x)) = f(4x² - 4) = 3(4x² - 4) + 1 = 12x² - 12 + 1 = 12x² - 11