factor x^3 +7x^2−5x−35
Answer:
(x^2-5)(x + 7)
Step-by-step explanation:
Here, we want to factorize the given expression
That would be;
x^2(x + 7) - 5(x + 7)
= (x^2-5)(x+ 7)
Answer:
(x+7) (x^2 - 5)
Step-by-step explanation:
x
3
+7x
2
−5x−35
=x
2
(x)+x
2
(7)−5(x)−5(7)
=x
2
(x+7)−5(x+7)
Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:
\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}
=x
2
(x+7)−5(x+7)
=(x+7)(x
2
−5)
please help me please will give brainliest to
Answer:
The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. polynomials with real coefficients are included in this since every real number is a complex number with its imaginary part equal to zero.
Can I please get brainliest?
Answer:
It is non-constant variable polynomial with in depth coefficients and an in depth root.
Step-by-step explanation:
Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
Write 0.721 as a fraction. Show your work.
Step-by-step explanation:
721/100
It is correct answer
Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all
Answer:
A.) x=-3
B.) I have no clue I'm sorry I haven't learned anything over square method
Step-by-step explanation:
Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges This was 1350 g more than the weight of bananas bridges what was the way of the bananas Antonio purchased in grams
Answer: 3600 grams
Step-by-step explanation:
A dekagram means 10 grams.
1 kilogram = 1000 grams
Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:
= (1.8 × 1000) + (315 × 10)
= 1800 + 3150
= 4950 grams
Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:
= 4950 - 1350
= 3600 grams
The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Answer:
[tex]P(x) = 3x - 10[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 5x[/tex]
[tex]C(x) = 10 + 2x[/tex]
Required
Determine [tex]P(x) = (R - C)(x)[/tex]
In functions;
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex]P(x) = (R - C)(x)[/tex]
[tex]P(x) = R(x) - C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 5x - (10 + 2x)[/tex]
Open bracket
[tex]P(x) = 5x - 10 - 2x[/tex]
Collect Like Terms
[tex]P(x) = 5x - 2x- 10[/tex]
[tex]P(x) = 3x - 10[/tex]
Find the selling price.
Cost to store: $140
Markup: 25%
The selling price is $
Find the selling price.
Cost to store: $80
Markup: 60%
The selling price is $
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is $
Answer:
1.$175
2.$128
3.$55
Step-by-step explanation:
1.
40×.25=35
140+35=175
2.
80×.6=48
80+48=128
3.
50×.1=5
50+5=55
Answer:
1 87.5
2 49.7
3 0.79
4 700
5 4.8825
6 24
7 10
explanation:
sana makatulong
A sweater that costs $32 is being marked down 30%. What is the new price of sweater?
Answer: try thease to see if they help !
Step-by-step explanation:
Take the pre-sale price.
Divide the original price by 100 and multiply it by 30.
Take this new number away from the original one.
The new number is your discounted value.
There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)
A) 35 B) 30 C) 16 D) 17
please show how
Answer:
Answer: 35
Step-by-step explanation:
five out of every eight are carrying suitcases, so muiltiply 5/8 times 56 to get 35
If f(x) = 3x-2, find f(8) - f(5)
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
Answer:
f(8) - f(5) = 9
Step-by-step explanation:
So our function is:
f(x) = 3x - 2
Therefore, f(8) becomes:
f(8) = 3(8) - 2 = 24 - 2 = 22
And f(5) is:
f(5) = 3(5) - 2 = 15 - 2 = 13
Finaly, f(8) - f(5) is therefore:
22 - 13 = 9
So f(8) - f(5) = 9
Hope this helps!
help Math 39 points Asap Probability image below
Answer:
1/10
Step-by-step explanation:
There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.
There are five marbles altogether.
First is 2/5
The second blue is 1/4
The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10
What is the Domain of the graph?, and What is the Range of the graph ?
Answer:
Domain is 0-12 and the range is 0-10
Step-by-step explanation:
The domain is the x values and the range is the y values
Answers:
Domain: [tex]0 \le x \le 12[/tex]
Range: [tex]0 \le y \le 10[/tex]
===============================================
Explanation:
The domain is the set of all possible x inputs. The x axis is along the horizontal, so x refers to the number of minutes. The smallest x can get is x = 0 and the largest is x = 12. To describe everything in between those endpoints, including both endpoints, we write [tex]0 \le x \le 12[/tex]
The range is the set of all possible y outputs. The y axis is vertical so y refers to the distance from home. The smallest distance is y = 0 and the largest distance is y = 10. So we say the range is [tex]0 \le y \le 10[/tex] to describe everything in between 0 and 10, including those endpoints.
Side note: 12 minutes = 12/60 = 0.2 hours. You travel 10 miles in 0.2 hours, so the speed is distance/time = 10/0.2 = 50 mph.
Someone pls help me solve this I’m having really bad anxiety!
At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85 each. If
Mary bought 16 fish for a total cost of $31.60, not including tax, how many of each
type of fish did she buy?
a) 8 zebra fish; 8 neon tetras
b)8 zebra fish; 9 neon tetras
c) 14 zebra fish; 2 neon tetras
d) 7 zebra fish: 9 neon tetras
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
.
.
...
.
. :-)))
Someone help I’m LAAAAZYYYY
Answer:
It is 8,7
Hope this helps!
Step-by-step explanation:
Find the value of f (-2)
Answer:
f(-2)=-5
Step-by-step explanation:
i think of the line -5
another one of these, god help me
Answer:
24x+48
Step-by-step explanation:
(3x+6)(8)
=8(3x+6)
=(8*3x)+(8*6)
=24x+48
Answer: 24x + 48
Step-by-step explanation:
The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).
First you must replace L and W, for their given values.
A= (L) (W)
A= (3x+6) (8)
Then, simply simplify by multiplying 3x+6 by 8
You would end up getting 24x + 48
Pls help due ASAP....
Pls show workings.
Answer:
We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
d = 8.06 milesStep-by-step explanation:
From the coordinate plane, we can clearly identify that:
Sandy's Hotel is located at the point (-8, 9)Trader Joes' Store is located at the point (-4, 2)The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:
[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
The distance between (-8, 9) and (-4, 2)
[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]
[tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]
[tex]=\sqrt{4^2+7^2}[/tex]
[tex]=\sqrt{16+49}[/tex]
[tex]=\sqrt{65}[/tex]
[tex]=8.06[/tex] miles
Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
d = 8.06 milesCarlos lives 5 3/8 blocks from a restaurant. The ball field is 7 1 /4 blocks away in the same direction. Carlos plans to go to the restaurant to eat, and then go to the ball field. After he eats, how much farther will he have to walk to get to the ball field?
Answer:
[tex]\dfrac{15}{8}=1\dfrac{7}{8}\ \text{blocks}[/tex]
Step-by-step explanation:
Distance to the restaurant from Carlos is [tex]5\dfrac{3}{8}=\dfrac{43}{8}\ \text{blocks}[/tex]
Distance of the ball field from Carlos' home is [tex]7\dfrac{1}{4}=\dfrac{29}{4}\ \text{blocks}[/tex]
He first goes to the restaurant so he covers a distance of [tex]\dfrac{43}{8}\ \text{blocks}[/tex].
Now the distance from the restaurant to the ball field is
[tex]\dfrac{29}{4}-\dfrac{43}{8}\\ =\dfrac{58-43}{8}\\ =\dfrac{15}{8}=1\dfrac{7}{8}\ \text{blocks}[/tex].
So, Carlos would have to walk [tex]1\dfrac{7}{8}\ \text{blocks}[/tex] farther to get to the ball field.
Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain
Answer: This is not a function
======================================================
Explanation:
If x = 1, then,
x = |y|
1 = |y|
|y| = 1
y = plus/minus 1
y = 1 or y = -1
The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.
Similar situations occur with x = 2 and x = 3.
This means we do not have a function. A function can only be possible if each input leads to exactly one output.
15.
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.
northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h
northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h
Answer:
In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h
So the answer is B. northbound bicyclist = 18 km/h
southbound bicyclist = 14 km/h
Step-by-step explanation:
the speed of the slower is x and the faster x+4 km/h
that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.
in 1h15m the slower goes 17.5 km and the faster 22.5 km
Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h
the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle
Answer:
The length of the other leg of the triangle is 30 inches.
Step-by-step explanation:
Pythagorean: a^2+b^2=c^2
50=hypotenuse
50^2-40^2=missing leg
50^2=2500
40^2=1600
50^2-40^2=900
[tex]\sqrt{900}[/tex]=30
30 is missing leg
The length of the other leg of the triangle is; 30 inches.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.
Using Pythagorean:
[tex]a^2+b^2=c^2[/tex]
50 = hypotenuse
Let the missing length is x.
x² = 50^2-40^2
x² = 2500 - 1600
x² = 900
x =30
Hence, the length in inches of the other leg of the triangle is 30.
Learn more about a right angle;
https://brainly.com/question/7116550
#SPJ2
If a+1=b then b>a create values for a and b
Answer:
One is a = 2, b = 3 AND another one is a = 11, b = 12
Step-by-step explanation:
They all fit this description. b = 1+a
You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged.
Answer:
2,100
Step-by-step explanation:
Calculation to Estimate the number of fish in the pond.
Estimated Number of fish=420 fish*140 fish/28
Estimated Number of fish=58,800/28
Estimated Number of fish=2,100
Therefore the Estimated number of fish in the pond will be 2,100
The total number of fish in the pond is 2100
Let y represent the total fish in the pond.
Data obtained from the question Tagged fish in pond = 140Captured fish = 420Captured tagged fish = 28Total fish = y =?The estimated fish in pond can be obtained as follow:
Tagged in pond / Total in pond = captured tagged fish / Captured fish
140 / y = 28 / 420
Cross multiply
y × 28 = 140 × 420
y × 28 = 58800
Divide both side by 28
y = 58800 / 28
y = 2100
Thus, the estimated fish in the pond is 2100
Learn more about estimation:
https://brainly.com/question/9583992
What is the Circumference of a circle with a radius of 15mm? There are no choices
Answer:
90
Step-by-step explanation:
Help pleasee!!!!!!!!
Answer:
5
Step-by-step explanation:
40/8 is 5 and that is my explanation
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
Answer:
The ratio of number of purple beads to the number of pink beads is: 15:31
Step-by-step explanation:
Number of pink beads = 31
Number of Purple beads = 15
We need to find ratio of number of purple beads to the number of pink beads
So, The ratio of number of purple beads to the number of pink beads is:
Number of purple beads : Number of pink beads
15 : 31
Since it cannot be simplified further, So
The ratio of number of purple beads to the number of pink beads is: 15:31
Myra reads 8 pages of her book. If this is 25% of her book. How many pages does she have left to read?
