Answer:
The y-intercept is 4.
Step-by-step explanation:
Our equation: y = mx + b
m = slope
b = y-intercept
=> Now, let's compare:
=> y = mx + b = y = -7x + 4
We can tell that b = 4
Hoped this helped.
[tex]y =-7x +4 \\\\\text{ The above equation is in a form of y=mx+b, where b is the y-intercept}\\\\\\\text{Hence the y-intercept of the given equation is}~ 4.[/tex]
given f(x)=2x^3+kx-9 and x-1is a factor of f(x), then what is the value of k?
When it says the "x - 1 " is the factor of that function means when you find the root of the phrase x - 1 which is x = 1 , put it in the function then you have to get zero for the answer :
thus :
[tex]f(1) = 0[/tex]
Thus :
[tex]2 \times {1}^{3} + k(1) - 9 = 0[/tex]
So :
[tex]2 + k - 9 = 0[/tex]
[tex]k - 7 = 0[/tex]
Add both sides 7
[tex]k - 7 + 7 = 0 + 7[/tex]
[tex]k = 7[/tex]
There you go...
Have a great day ❤
8.
Write the equation of the parabola in vertex form.
A. y = –x^2 + 4
B. y = –x^2 + 3
C. y = –(x – 1)^2 + 3
D. y = –x^2 – 4
Answer:
A. y = –x^2 + 4
Step-by-step explanation:
Find the vertex form.
y = − ( x + 0 ) 2 + 4
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
( 0 , 4 )
Focus:
( 0 , 15 /4 )
Axis of Symmetry:
x = 0
Directrix:
y
=
17
4
x
y
−
2
0
−
1
3
0
4
1
3
2
0
solve for x in the triangle!!!
Answer:
13
Step-by-step explanation:
Combine all like terms:
14x-2
Since there are 180 degrees in a triangle, all three angles are going to equal 180.
14x-2=180
Add 2
14x=182
Divide by 14
x=13
if a diagram shows a square with perimeter 40cm whats the percentage of the area inside the square that is shaded
Answer:
5
Step-by-step explanation:
Eacl side of the square has a length of 5 cm.
Answer:
55%
Step-by-step explanation:
i assume your question is from mathswatch
And this is the answer for it!
Assume that lines which appear to be tangent are tangent.
Find the value of the?
Answer:
12
Step-by-step explanation:
Assume that lines which appear to be tangent are tangent.
Therefor this is a right triangle.
Use the pythagorean theorem
c^2 = a^2 + b^2
15^2 = ?^2 + 9^2
225 = ?^2 + 81
subtract 81 from both sides
144 = ?^2
Take the square root of both sides
12 = ?
9514 1404 393
Answer:
? = 12
Step-by-step explanation:
The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.
?² +9² = 12²
?² = 225 -81 = 144
? = √144 = 12
The value of ? is 12.
__
Additional comment
When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.
pls help 3 x 2 + 6 (4+1) = ???
Answer:
17 IS THE ANSWER......................
Answer:
Your answer should be 36.
How to get slope from standard form.
Answer:
Solve the equation for y. See example.
Step-by-step explanation:
I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.
[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]
[tex]5y = - 3x + 15[/tex]
Now solve for y by dividing each term by 5.
[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]
Now simplify.
[tex]y = \frac{ - 3}{5} x + 3[/tex]
The slope is
[tex] - \frac{3}{5} [/tex]
What is the distance between the points (3,7) and (15,6) on a coordinate plane ?
Answer:
12.04
Step-by-step explanation:
the distance between two points in the x-axis
15-3 = 12
the distance between two points in the y-axis
7-6=1
using Pythagorean theory
a²+b²=c²
12²+1²=c²
144+1=c²
145=c²
√145=√c²
12.04=c
A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts. What is the equation and slope.
The equation is y = 0.5x and the slope is 0.5.
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x[/tex]
Therefore the equation is y = 0.5x and the slope is 0.5.
Find out more at: https://brainly.com/question/21835898
The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c
The slope = m
The duration after which the farmer measures the average height of her tomato = x weeks
The average height of the tomato plant after x weeks = y
For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear
This means that the average height of the tomato will be represented by a linear equation as shown below
y = mx + c
The slope of the equation is m
Learn more here: https://brainly.com/question/25759076
#1 Twenty five members of a travel club are planning their next club trip. Each member
has ranked their choices according to the following preference schedules. Is the plurality
winner the same as the majority winner?
Answer: France
Step-by-step explanation:
lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees
Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.
Since the amount of chocolate decreases as the number of attendees increase;
We use inverse variation to model the scenario :
y = k/x ; k = constant of proportionalityTaking any pair of points :
3000 = k/8
k = 3000 × 8
k = 24000
Hence, the constant of variation is 24000The variation expression is y = 24000/x This means that the total cost of organising the gettogether is to be shared equally among the attendeesTherefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.
Learn more :https://brainly.com/question/25480062
If the 10 musical acts for the winter show are randomly selected, what is the probability that
all of the electric acts get to play in the show?
Answer:1001
Step-by-step explanation:
A candle is 14 inches tall. Once the candle is lit, it burns at a rate of 0.8 inches per hour. How many hours will the candle last?
Answer:
about 14 to 15 hours if it burns at that speed while it is burning
Answer:
17.5
Step-by-step explanation:
If Susan can type 72 words per minute, how long will it take her to type her 360 word essay?
Answer:
5 minutes
Step-by-step explanation:
72/1 = 360/5
A television was originally priced at $1250.00 It is now on sale. If the TV is 30% off what is the sale price of the television?
Answer:
$875.00
Step-by-step explanation:
You multiply 1250 by .3 to get 375. Then you subtract that from your total to get your sale price. Hope this helps :))
Carey creates the table below to help him determine 75% of 36.
75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9
He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?
Answer:
27 is the answer
Step-by-step explanation:
36/.75=27
Jasmine is reading a book. She has finished 23 of the book and has 56 pages left to read. How many pages has she read
Answer:
She would have 33 more pages left.
Step-by-step explanation:
You would want to subtract 23 from 56.
A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?
Ms. Neville has 75 papers. she graded 60 papers, and she had a student teacher grade the rest. What percent of the papers did each person grade?
Answer:
Ms. Neville graded 80% of the papers and the student teacher graded 20% of them.
Step-by-step explanation:
Given a total of 75 papers, and Ms. Neville graded 60 of them, 15 remain for the student teacher. 75 - 60 = 15
Ms. Neville graded 60/75 = 0.8 = 80% of papers.
The student teacher graded 15/75 = 0.2 = 20% of papers.
Sanity check: 80% + 20% = 100%
Here’s a table that represents the situation. Find the cost of 1 gigabyte
Answer:
.25 dollars or 25 cents
Step-by-step explanation:
128/2=64 32/2=16
64/2=32 16/2=8
32/2=16 8/2=4
16/2=8 4/2=2
8/2=4 2/2=1
4/2=2 1/2=(1/2)
2/2=1 (1/2)/2=(1/4)
1/4 of 1 dollar is 25 cents
How to calculate the surface area of a football.
Answer:
A football is a sphere, so the formula for calculating its surface area is 4πr²
Hope it helps:)
10 x 9= what is it help
Answer:
10
[tex]10 \times 9 \\ 90[/tex]
Answer:
90 :)
Step-by-step explanation:
10 x 9 = 90
= 90 is correct answer
(Hope this helps can I pls have brainlist (crown)☺️)
Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2
28% of what number is 21.
Answer:
i think it´s 75..
Step-by-step explanation:
- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?
(a) One possibility is 8.45
Rounded to the nearest integer = 8
Rounded to the nearest tenth = 8.5
And rounding this to the nearest integer = 9
(b) The possible numbers are 8.45 to 8.49, inclusively
Answer:
Table is below in explantation
Not proportional
yes, linear
Step-by-step explanation:
We substitute and solve:
TABLE:
X --> Y
0 --> -2 (0-2 = -2)
1 --> -1
2 --> 0
Yes, it is linear, the slope is 1 and is written in slope - intercept form
No, not proportional, the y - intercept is (0, -2) not (0,0)
PLEASE HELP ME I REALLY NEED HELP
Answer:
no
Step-by-step explanation:
We expect you're supposed to answer, NO. This is because an angle and two sides are specified, where the angle is not between the two sides. There is no SSA theorem for congruence, so this specification is generally considered to be insufficient.
_____
Additional comment
The given information is enough to completely specify the given triangle. The reason this is true is that the given angle is opposite the longest of the given sides. A general SSA theorem cannot guarantee that will be the case, so there is no general SSA congruence theorem.
Provided that you have corresponding side and angle information for the other triangle, congruence can be determined (yes). A single triangle by itself cannot be shown congruent to anything.
Find all of the rational zeros of the function. f(x)=x 4 −3x 3 −6x 2 +6x+8
Answer:
The "possible" rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
The actual zeros are:
−
1
,
4
,
±
√
2
Explanation:
f
(
x
)
=
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
By the rational root theorem, any rational zeros of
f
(
x
)
are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
8
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
We find:
f
(
−
1
)
=
1
+
3
−
6
−
6
+
8
=
0
So
x
=
−
1
is a zero and
(
x
+
1
)
a factor:
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
=
(
x
+
1
)
(
x
3
−
4
x
2
−
2
x
+
8
)
Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:
x
3
−
4
x
2
−
2
x
+
8
=
(
x
3
−
4
x
2
)
−
(
2
x
−
8
)
x
3
−
4
x
2
−
2
x
+
8
=
x
2
(
x
−
4
)
−
2
(
x
−
4
)
x
3
−
4
x
2
−
2
x
+
8
=
(
x
2
−
2
)
(
x
−
4
)
Finally we can factor the quadratic as a difference of squares:
x
2
−
2
=
x
2
−
(
√
2
)
2
=
(
x
−
√
2
)
(
x
+
√
2
)
So the zeros are:
−
1
,
4
,
±
√
2
¿Cuál es la probabilidad de que una mujer que ha sido vacunada en este lapso de cuatro
meses haya recibido su segunda dosis en octubre ?
Answer: buddy if you put it in English i can do it I’m a teacher
Step-by-step explanation:
BA is congruent to BC and DA is congruent to EC. Prove BD is congruent to BE.
Answer:
See below for answer.
Step-by-step explanation:
BA ≅ BC Given
DA ≅ EC Given
BA + DA ≅ BC + EC Congruent parts are congruent
BD ≅ BE Addition
How does the equation change when the radius changes? Unlike h and k, why is r always positive?
Answer:
When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.
Step-by-step explanation: