Answer:
Answer: -7
Step-by-step explanation:
The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.
What is Root of Equation?In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.
A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.
We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.
Now, if f(x) = 0
then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0
Now, calculating in separate the value of x as
x +4 =0 and x+ 7= 0
x = -4 and x = -7
Thus, the roots cross x axis at -4 and -7.
Learn more about Roots of Equation here:
https://brainly.com/question/12029673
#SPJ7
graph:
y=150x+50
y=200+150x
Answer:
y=150x+50
y=200+150x
Step-by-step explanation:
y=150x+50
y=200+150x
The angles in a triangle are
such that one angle is twice the
smallest angle, while the third
angle is three times as large as the
smallest angle. Find the measures
of all three angles.
Answer:
30, 60, and 90
Step-by-step explanation:
Let x be the Angle 1
2x is Angle 2
3x is Angle 3
x + 2x + 3x = 180
6x = 180
x = 30 degrees
2x = 60 degrees
3x = 90 degrees
2-(-4)/0-2
What is the answer?
Answer:
the would be m=4
Step-by-step explanation:
Write the equation of the line that passes through the points (9, 3) and (-7, -7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
a
line.
Answer:
y-3=5/8(x-9)
Step-by-step explanation:
First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8
Now we can just plug in a point into point slope form
y-3=5/8(x-9)
Help me please I’m stuck
Answer:
Step-by-step explanation:
If 3 is width and 2 is length 3 units right 1 unit up
If 2 is width and 3 is length 2 units right 3 units up
please i really need help
The perimeter of each shape is 3 units? True or False?
Brian says that the expression 8n + 2 is equal to 83 when n=1. Explain why Brian’s answer is incorrect?
Answer:
8n+2 first let’s plug in n which is 1
8(1)+2=10
The answer is 10 but Brian said the expression is equal to 83. He is incorrect because 8 times 1 is 8 and then plus 2 is 10.
I hope it helps.
the sum of three consecutive integers is forty -two. find the three numbers
Answer:
13, 14, 15 right?
Step-by-step explanation:
Type your number answer in decimal form. Do not round.
0.6 kilograms = _______ grams.
0.6 KL = 600 grams
you can always use the ladder method
Find your own values that prove that tan(u-v) does not equal tan u - tan v. Show your work and explain why you chose these values.
To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.
To do this, we assume the following values
[tex]\mathbf{u = 75}[/tex]
[tex]\mathbf{v = 45}[/tex]
So, we have:
[tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex]
Substitute the assumed values for u and v
[tex]\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}[/tex]
Subtract 45 from 75
[tex]\mathbf{tan(30) \ne tan(75) - tan(45)}[/tex]
Using a calculator, calculate the values of tan(30), tan(45) and tan(75)
So, we have:
[tex]\mathbf{0.5774 \ne 3.7321 - 1}[/tex]
Subtract 1 from 3.7321
[tex]\mathbf{0.5774 \ne 2.7321}[/tex]
Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.
Hence, [tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex] is true
Read more about proofs of trigonometry at:
https://brainly.com/question/22698523
The sum of the first 10 terms of a linear sequence is 5 and the sumof the next 10 terms is 215. Find the sequence.
Answer:
The first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Step-by-step explanation:
We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.
And we want to find the sequence.
Recall that the sum of an A.P. is given by:
S = k / 2 ( a + xk)
Where a is the first term, k is the number of terms, and x_k is the last term.
We can represent our term values with the direct formula:
Xn = a + d (n-1)
Where the first term, x₁ = a.
The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:
(5) = 10/2 (a+xk)
5 = 5(a+(a+9d))
2a + 9d = 1
The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:
(215) = (10)/2 (a + xk)
215 = 5((a+d(11-1))+(a+d(20-1)))
2a + 29d = 43
This yields a system of equations:
[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]
Solve:
(2a + 9d) + (-2a - 29d) = (1) + (-43)
-20d = -42
d = 2.1
Consequently:
a = 1/2(1-9d)
= 1/2(1-9(2.1))
= -8.95
In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy?
Answer: 25 rulers
Step-by-step explanation:
19.75/.79=25
Answer:
25
Step-by-step explanation:
Divide the total money, by the cost of each product:
$19.75/$0.79=25
help me please someone
Step-by-step explanation:
a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.
the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.
that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.
so, yes, therefore the area grows or shrinks with the square of the scale factor.
FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.
1. k=2
new area = k² × old area = 4 × 12 = 48 square units.
2. k=5
new area = k² × old area = 25 × 12 = 300 square units.
3. k=1
new area = k² × old area = 1 × 12 = 12 square units.
4. k=1/4
new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.
5. k=1.2
new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.
2.7z + 1.2z - 6.5 = 0.7
Answer:
= 1 . 8 4 6 1 5 3 8 4 6
Step-by-step explanation:
I took the test yesterday and I got a 100 on the math part
Answer/Step-by-step explanation:
Combine multiplied terms into a single fraction
2.7z+1.2z−6.5=0.7
2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7
Combine multiplied terms into a single fraction
2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7
2 7 /1 0 + 6 5 − 6 . 5= 0 . 7
Find common denominator
2 7 /1 0 + 6 5 − 6 . 5= 0 . 7
[tex]\frac{27z}{10} +\frac{2.6z}{10} +\frac{10(-6.5)}{10} =0.7[/tex]
Combine fractions with common denominator
[tex]\frac{27z+2*6z+10(-6.5)}{10} =0.7[/tex]
Multiply the numbers
[tex]\frac{27z+12z-65}{10} =0.7[/tex]
Combine like terms
[tex]\frac{39z-65}{10} =0.7[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]10*\frac{39z-65}{10} =10*0.7[/tex]
Cancel multiplied terms that are in the denominator
39z-65=10*0.7
Multiply the numbers
39z-65=7
Add 65 to both sides of the equation
39z-65+65=7+65
Simplify
39z=72
Divide both sides of the equation by the same term
[tex]\frac{39z}{39} =\frac{72}{39}[/tex]
Simplify
Z= 1.846153846
The height above the ground, h, in feet, of a bullet fired upward is given by the formula
h = −162 + 80 + 224. Find the number of seconds after being fired the bullet hits the ground.
Answer:
After 7 seconds it hits the ground.
h= -16^2 + 80x + 224
(I'm assuming this is what you meant, because these problems are generally quadratic)
Use quadratic formula to find when it hits the ground (get zeros)
x = -2, x = 7
After 7 seconds it hits the ground.
Gabriella drove to her friend's house and
back. The trip there took six hours and the
trip back took five hours. She averaged
60 km/h on the return trip. Find the
average speed of the trip there.
She drove 5 hours back at a rate of 60 km/h. Total distance on the way back was 5 x 60 = 300 km
The trip there would be 300 km and she drove for 6 hours
Average speed = 300 km / 6 hours = 50 km/h
Answer: 50 km/h
Would appreciate your help a lot!
Answer:
None of those answers are right. It should be
[tex] - \frac{23}{24} [/tex]
Step-by-step explanation:
You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.
[tex] - \frac{20}{24} = z + \frac{3}{24} [/tex]
Subtract 3/24 from both sides since it is being added.
[tex] - \frac{20}{24} = z + \frac{3}{24} \\ - \frac{3}{24} \: \: \: \: \: \: \: \: \: \: - \frac{3}{24} [/tex]
Since there are two negatives on the left, add the fractions together and keep the negative sign.
[tex] - \frac{23}{24} = z[/tex]
You cannot reduce this fraction.
( DISCUSSION TOPIC )
NEED WITHIN 10 MINUTES!!!!
Up to this point, the only types of numbers you've seen have been rational numbers.You can write any rational number as a fraction.
The prefix ir- means not.
What do you think it means for a number to be irrational?
Can you think of any numbers that are irrational?
Answer:
A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.
An example of an irration number is the square root of 10, or pie because it is a infinited number
I hope this helps!
Answer:
the irrational is kind of a part
of the math that includes rational and
irrational numbers
one third of the result of three times a number that is increased by 12
Answer:
Step-by-step explanation:
1/3 (3x+12)
1/3×3x+1/3×12
x+4
An angle that measures exactly 180° is known as a/an
angle.
Answer:
supplementary angle
Step-by-step explanation:
please Mark my answer in brainlist
Describe and correct the error in rewriting the expression.
6(y+8) = 6y+8
Describe the error:
Correct the error:
Answer:
error: forgot to distribute 6 to the 8
correction: 6(y+8) = 6y+48
Step-by-step explanation:
in distributive property: you must multiply the number on the outside to both of the numbers in the inside
Can someone help me with this question, please explain your answer. :D
Answer:
21/8 yards
Step-by-step explanation:
If Sarah wants to make her own costume she will need 21/8 yards of yarn.
To get this, you multiply 2 by 8 and get 16.
Next, you will add 5 onto 16 and get 21.
Keep your 21 and put is as your numerator.
Now take your 8 and put it as your denominator.
The rectangle PQRS is dilated by a scale factor of 34 first, and then reflected across the y-axis to form rectangle P'Q'R'S'.
What are the coordinates of the transformed rectangle P'Q'R'S'?
A.
P'(−1.25,−1.25), Q'(−5.25,−1.25), R'(−5.25,−3.25), S'(−1.25,−3.25)
B.
P'(−1.5,1.5), Q'(−4.5,1.5), R'(−4.5,3), S'(1.5,−3)
C.
P'(1.5,−1.5), Q'(4.5,−1.5), R'(4.5,−3), S'(1.5,−3)
D.
P'(−1.5,−1.5), Q'(−4.5,−1.5), R'(−4.5,−3), S'(−1.5,−3)
Answer:
The answer should be A.
Step-by-step explanation:
I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)
What is the equation of this line in slope-intercept form?
A: y = 4x + 1
B: y=−4x+1
C: y=4x−1
D: y=−14x+1
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
837+208+363=find the sum by suitable rearrangement
Answer:
1,408
Step-by-step explanation:
208 + 363 + 837=1408
What is the range of the function graphed below
4223422222222222222222222222
Answer:
-3<y<=3
Step-by-step explanation:
The function ranges from - 3 to 3,but 3 is included
Which set of ordered pairs represents a function?
A. {(0,5), (2,5),(4,5), (6,5), (8,5)}
B. {(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
C. {(2,3), (3, 4), (4,3), (3, 2), (2, 1)}
D. {(1, 4), (2, 4), (3, 4), (4, 3), (4, 2)}
HELPPPPPP!!!!!!!!!!!!!!!
Answer:
I might be wrong i think its C but double check and dont put it in until you are sure its right
Step-by-step explanation:
Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0
Answer:
a) answer is "a"
b) answer is "-2b"
c) answer is "-c"
d) answer is "3c"
Step-by-step explanation:
Absolute value is positive value of something.
a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.
b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.
c<0 same as a except sign is flipped so answer is negative instead of positive.
c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.
Sorry is explanation wasn't through i'm only in middle school
a. | a | > 0, a is greater than and less than zero.
b. | 2b | if b < 0, b is not less than zero not greater than zero.
c. | c | if c < 0, c is not less than zero not greater than zero.
d. | 3c | if c ≥ 0, c is greater than zero and less than zero.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given,
| a | > 0
∴ a is greater than and less than zero.
| 2b | if b < 0
b is not less than zero not greater than zero.
| c | if c < 0
c is not less than zero not greater than zero.
| 3c | if c ≥ 0.
c is greater than zero and less than zero.
learn more about modulus functions here :
https://brainly.com/question/13103168
#SPJ2
The product of −2 and a number x is greater than 30. Whats the solution of the inequality.
Answer: x < -15
Step-by-step explanation:
(-2)*(x) > 30
x < -15 The inequality reverses direction when a negative number is used in the manipulation (we divided by -2).
