Which function's graph has x-intercepts at x=−1 and x=3, and a vertex at point (1,−4)?
Answers
Answer:
Top right option: g(x) = (x+1)(x-3)
Step-by-step explanation:
x=-1 is the solution to x+1=0
x=3 is the solution to x-3=0
Therefore, your expression so far is (x+1)(x-3) or x²-2x-3.
Since the vertex must be (1,-4) we must check if x=1 satisfies the equation x=-b/2a:
x=-b/2a
1=-(-2)/2(1)
1=2/2
1=1
Both sides are equal to each other, so the final function is g(x) = (x+1)(x-3)
Related Questions
the sum of two numbers is 65 and their difference is 7. What is the greater of the two numbers?
Answers
Answer:
The numbers are 35 and 28
35+28=65
35-28=7
Step-by-step explanation:
Brainliest?..
Answer:
X+y =65 x-y=7 y=65-x (plug in 65-x) for y. X-(65-x)=7 so x-65+x=7
2x=72 so x =36 65-36=29 The bigger number is 36.
Step-by-step explanation:
Helppppppp what's the answer??????
Answers
x= 1/2
Complete the square for the expression
Answers
Answer:
x^2 + 14x + 49 = 0
Step-by-step explanation:
Which set of ordered pairs represents y as a function of x? {(2,2), (3,3), (2,4), (5,5)} A. {(2,2), (3,3), (2,4), (5,5)} A. , 2, 2... 3, 3.... 2, 4... 5, 5... , {(−1,−2), (−2,−1), (−2,7), (−4,8)} B. {(−1,−2), (−2,−1), (−2,7), (−4,8)} B. Negative 1, negative 2... Negative 2, negative 1... Negative 2, 7.... Negative 4, 8... , {(−1,6), (4,3), (1,1), (−3,4)} C. {(−1,6), (4,3), (1,1), (−3,4)} C. Negative 1, 6... 4, 3... 1, 1... Negative 3, 4... , {(0,1), (2,1), (3,1), (0,2)} D. {(0,1), (2,1), (3,1), (0,2)}
Answers
Answer:
The correct answer is C
Step-by-step explanation:
In a function, no two ordered pair has the same first element. if you check all the Rest, they have one or more two ordered pairs having the same first element. But C has unique first ordered elements, -1, 4, 1 and -3
If f(x)= x2 + 5, and g(x) = 3x - 11, find (g(f(-3)).
Answers
Answer:
31
Step-by-step explanation:
first find f(-3)
f(-3) = (-3)^2 +5
= 9+5 = 14
The find g(f(-3) = g(14)
= 3*14-11
= 42-11
=31
Please help!! I'll give brainlist
Answers
Answer:
60°
Step-by-step explanation:
just in case if line AC and BD are straight lines,
angle EGD will be 180-90-30=60
and EGD will equal to x°becoz they are just in opposite
Answer:
The Answer is 60
Step-by-step explanation:
If you look at E B and F those make up a 180-degree angle if you look across from B then you will see that it is a 90-degree angle so you can assume that B is also a 90-Degree angle so if you add up 30 + 90 = 120
You then can subtract 180 - 120 to get the answer 60
So therefor the answer is 60
which expression represents the difference of (5x-3y) and (8x+8y)?
Answers
Given:
The expressions are:
[tex](5x-3y)[/tex] and [tex](8x+8y)[/tex]
To find:
The difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex].
Solution:
Difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex] is written as:
[tex]Difference=(5x-3y)-(8x+8y)[/tex]
On simplification, we get
[tex]Difference=5x-3y-8x-8y[/tex]
[tex]Difference=(5x-8x)+(-3y-8y)[/tex]
[tex]Difference=-3x-11y[/tex]
Therefore, the difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex] is [tex]-3x-11y[/tex].
Can someone please help me with this, btw don’t mind the white-out
Answers
Answer:
x< 10
Step-by-step explanation:
To start the absolute difference between 20 and 5 is 15. Next, write out an equation for the problem:
x * 1.5 < 15,
Then divide by 1.5 on both sides...
Boom! x < 10.
I need help plsss help
Answers
Answer:
Triangle: True
Parallelogram: False, area is 63cm^2
Trapezoid: True
Step-by-step explanation:
Use area calculators on the internet to find the area of shapes.
what was her overall quiz average of a 90 for the quarter ? pls answer
Answers
Answer:
She needs at least a 105 to get a 90 :/
Step-by-step explanation:
If you add all those up and divide it by 5 (the mean) you get an 86.5, then if you add 105 and divide up all those numbers by 6 you get a 90.166667
Geometry
Find the value of x. The diagram is not to scale.
Answers
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
Since lines [tex]\overrightarrow{f}[/tex] and [tex]\overrightarrow{g}[/tex] are parallel, the angles labelled in the diagram must be supplementary (add up to [tex]180^{\circ}[/tex]). Therefore, we have the following equation:
[tex]4x+(7x+26)=180,\\11x+26=180,\\11x=154,\\x=\boxed{14}[/tex]
Find center and radius of a circle with a diameter that has endpoints of (3,-2) and (-5,-4)
Answers
Answer:
Center: (-1,-3)
Radius: 4.12 units
Step-by-step explanation:
Hi there!
1) Find the center of the circle
When given two diameter endpoints, we can find the center of the circle by calculating for the midpoint since the center lies in the middle of the points:
Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the diameter endpoints (3,-2) and (-5,-4)
[tex](\frac{3+(-5)}{2} ,\frac{-2+(-4)}{2})\\(\frac{3-5}{2} ,\frac{-2-4}{2})\\(\frac{-2}{2} ,\frac{-6}{2})\\(-1,-3)[/tex]
Therefore, the circle is centered at (-1,-3).
2) Find the radius of the circle
The radius of a circle is the distance between the outside edge and the center. We can find the radius by calculating for the distance between the center of the circle and one of the diameter endpoints.
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the center (-1,-3) and a diameter endpoint (3,-2)
[tex]d=\sqrt{(3-(-1))^2+(-2-(-3))^2}\\d=\sqrt{(3+1)^2+(-2+3)^2}\\d=\sqrt{(4)^2+(1)^2}\\d=\sqrt{16+1}\\d=\sqrt{17} \\d=4.12[/tex]
Therefore, the radius of the circle is approximately 4.12 units when rounded to the nearest hundredth.
I hope this helps!
Help with math homework
Answers
Please help me I need help
Answers
d = 16.76 inches
Step-by-step explanation:
We can extend the definition of the Pythagorean theorem to 3-dimensions:
[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]
Let x = 10 in
y = 10 in
z = 9 in
[tex]d = \sqrt{ {(10)}^{2} + {(10)}^{2} + {(9)}^{2} } [/tex]
[tex]d = \sqrt{281} = 16.76 \: in[/tex]
this is exact and approximate pi
SOMEONE PLS HELP BEFORE I FAIL
Answers
That was the 100 digits of pi, your welcome
Salvador has a rug in his bedroom with perimeter of 36 feet, the length of the rug is 8 feet what is the width of the rug?
Answers
Answer:
10 feet
Step-by-step explanation:
Salvador has a rug in his bedroom with perimeter of 36 feet, the length of the rug is 8 feet what is the width of the rug?
The rug is shaped as a rectangle
The formula for the Perimeter of a rectangle = 2L + 2W
Perimeter = 36 feet
Length = 8 feet
Hence
36 = 2(8) + 2W
36 = 16 + 2W
2W = 36 - 16
2W = 20
W = 20/2
W = 10 feet
Therefore, the Width of the rug is 10 feet
Write three different expressions in any form equivalent to each given expressions below.
Answers
Answer:
3^-3 for the first answer. The second answer is 3^7.
Step-by-step explanation:
If you multiply two numbers with the same base and exponents, the exponents are added up.
If you divide two numbers with the same base and exponents, the numerator would subtract the denominator.
So the answer to the first question is 3^-3. The second answer would be 3^7.
c.) The tires of an automobile have a diameter of 22 in. If the wheels revolve 18 times, how many feet does the automobile move? Evaluate for �� and round to the nearest hundredth. (Hint: use Circumference)
Distance: ___________________
Answers
22 x 18 = 396 inches
396 inches in feet is 33
Hope this helps :D
volume of a pyramid with a square base of length 5m is 75m³. Find it's hieght
Answers
Answer:
The height of the pyramid is 3 m.
Step-by-step explanation:
Given;
volume of pyramid, V = 75 m³
length of the square, L = 5 m
The volume of a pyramid is given as;
V = area of the square base x height
V = Ah
where;
A = L² = 5 x 5 = 25 m²
h = V/A
h = (75) / (25)
h = 3 m
Therefore, the height of the pyramid is 3 m.
Clair is running a 10K race. So far, she has run 4 kilometers.
What fraction of the race does she have to go?
Answers
Answer:
3/5
Step-by-step explanation:
10k - 4k = 6k
= 6/10 = 3/5
Hope u understand.
Please mark as the brainliest
Keith has 7 yards of string. He needs ⅓ yard of string for each of his puppets. How many puppets can Keith make with his string?
Answers
Answer:
the no of puppets that could be made with his string is 21
Step-by-step explanation:
Given that
There is 7 yards
And, it needs one -third of string for each of his puppets
= 7 × 3
= 21 puppets
We simply multiply the 7 yards with the 3 so that the no of puppets could come
hence, the no of puppets that could be made with his string is 21
hey guys its my first time using this app, i need help with this question!
b) 3/x + 4/x+2
Answers
Answer:
7/x+2
Step-by-step explanation:
2x +7/x
hope this helps
IT IS OVER ALL NOT ONLY 7!!!!!!!
Evaluate the expression when a = -4 and x=4.
4x-a
Answers
Answer: 20
Step-by-step explanation: Substitute -4 in for a and 4 in for x. Then, simplify.
4(4) - (-4)
16 + 4
20
Hope this helped. Please mark brainliest if correct!
Answer:
4(4)-(-4)
16+4
20
Step-by-step explanation:
When you put x is 4 in the first term u will get 16 and when you add two negatives u will get a positive, hence positive 4, that is 16+4
20
Determine the equation of the circle graphed below
Answers
help miii plzzzz pretty please wit a cheer on top
Answers
Answer:
14 + 5[tex]\sqrt{3}[/tex]
a = 14, b = 5, c = 3
Step-by-step explanation:
Multiply the brackets out:
[tex](2\sqrt{3} )(3\sqrt{3} ) = (2)(3)(\sqrt{3})(\sqrt{3}) = (6)(3) = 18[/tex]
[tex](2\sqrt{3} -1)(4+3\sqrt{3} ) = 8\sqrt{3} +18 - 4 - 3\sqrt{3}[/tex]
[tex]= 14 + 5\sqrt{3}[/tex]
What is the measure of x?
Answers
Answer:
105+54=x
Step-by-step explanation:
Is the discriminant of g positive, zero, or negative?
Answers
Answer:
Negative
Step-by-step explanation:
Positive discriminant: graph cuts x axis twice
Zero discriminant: graph touches x axis once
Negative discriminant: graph does not cut or touch x axis
Which expression could be used to find the distance between points (-2,8) and (7,13) on a coordinate plane?
Choose all that apply.
Answers
Answer:
A and E.
Step-by-step explanation:
Its square root of [(13-8 and 7 - - 2 ( = 7 + 2)both squared)]
OH I see there are 2 answers.
The other one is A.
Write the point-slope form of an equation of the line through the points (-7, 7) and (4, 1).
A. y−4=−611(x−1)
B. y+1=−611(x+4)
C. y+7=−611(x−7)
D. y−7=−611(x+7)
Answers
Answer:
D) y-7=-6/11(x+7)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-7)/(4-(-7))
m=-6/(4+7)
m=-6/11
y-y1=m(x-x1)
y-7=-6/11(x-(-7))
y-7=-6/11(x+7)
y=-6/11x-42/11+7
y=-6/11x-42/11+77/11
y=-6/11x+35/11
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left after she chooses the color? Tahari has 60 options left because Tahari has 12 options left because she has options left. Tahari has 12 options left because . Tahari has 7 options left because she has options left.
Answers
Answer:After choosing the color she still has the choices of brands and style so:
Tahari has 4*3=12 options left.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
right on edge