Answer:
[tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]
Step-by-step explanation:
A quadratic in the form [tex]ax^2+bx+c=y[/tex] crosses the [tex]x[/tex]-axis when [tex]y=0[/tex].
The first step is replacing [tex]f(x)[/tex] with [tex]y[/tex].
So: [tex]y= -5x^2+9x-4[/tex]. With the information above, we can find the [tex]x[/tex] intercepts by setting [tex]y = 0[/tex].
Therefore [tex]0=-5x^2+9x-4[/tex].
Now we can use the quadratic formula because it is in the form [tex]ax^2+bx+c=0[/tex].
Note the quadratic formula: [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a } = x[/tex].
To find the values of [tex]a[/tex],[tex]b[/tex] and [tex]c[/tex] we can compare the equation to the general equation.
Therefore: [tex]a=-5[/tex], [tex]b=9[/tex] and [tex]c=-4[/tex].
Now put these values into the quadratic formula:
[tex]\frac{-9\frac{+}{-}\sqrt{(9)^2-4(-5)(-4)} }{2(-5) } = x[/tex]
And simplify:
[tex]\frac{-9\frac{+}{-}\sqrt{81-80} }{-10 }[/tex] , [tex]\frac{-9\frac{+}{-}\sqrt{1} }{-10 }[/tex].
[tex]\sqrt{1} =1[/tex], therefore [tex]x = \frac{-9\frac{+}{-}1 }{-10 }[/tex]
Now we can have two values for [tex]x[/tex]. One when we take away the discriminant ([tex]b^2-4ac[/tex]) and one when we add it.
So [tex]x = \frac{-10}{-10} = 1[/tex]
or
[tex]x = \frac{-8}{-10} = 0.8[/tex]
Therefore [tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]
Unit 6 similar triangles homework 5
Answer:
1) x = 12
2) x = 23.1
3) x = 19
4) x = 16
5) x = 8
6) x = 17
Step-by-step explanation:
Comparing the sides of each triangle, we have;
1) [tex]\frac{32}{32 + x}[/tex] = [tex]\frac{24}{33}[/tex]
Cross multiply to get,
(32 + x) * 24 = 32 * 33
768 + 24x =1056
24x = 1056 - 768
24x = 288
x = 12
2) [tex]\frac{14}{34}[/tex] = [tex]\frac{x}{33 + x}[/tex]
cross multiply to have;
34x = 14 (33 + x)
34x = 462 + 14x
20x = 462
x = 23.1
3) [tex]\frac{20}{36}[/tex] = [tex]\frac{30}{x + 35}[/tex]
cross multiply to have;
36 * 30 = 20(x + 35)
1080 = 20x + 700
1080 - 700 = 20x
380 = 20x
x = 19
4) [tex]\frac{22.5}{42.5}[/tex] = [tex]\frac{2x - 5}{3x + 3}[/tex]
cross multiply to have;
42.5(2x - 5) = 22.5(3x + 3)
85x - 212.5 = 67.5x + 67.5
collect like terms
85x - 67.5x = 67.5 + 212.5
17.5x = 280
x = 16
5) [tex]\frac{2x + 4}{2x + 8}[/tex] = [tex]\frac{x + 7}{x + 10}[/tex]
cross multiply to have;
(2x + 8)(x + 7) = (2x + 4)(x + 10)
2[tex]x^{2}[/tex] + 14x + 8x + 56 = 2[tex]x^{2}[/tex] + 20x + 4x + 40
2[tex]x^{2}[/tex] + 22x + 56 = 2[tex]x^{2}[/tex] + 24x + 40
collect like terms to have;
22x - 24x = 40 - 56
-2x = -16
x = 8
6) [tex]\frac{28}{82}[/tex] = [tex]\frac{2x + 8}{7x + 4}[/tex]
cross multiply to have;
82(2x + 8) = 28(7x + 4)
164x + 656 = 196x + 112
164x - 196x = 112 - 656
-32x = -544
x = 17
The value of x in all the options can be determined by using the arithmetic operations. The calculations are given below.
1)
Given :
Two side lengths of a triangle are (x + 32) and 33.
According to the similar triangles property:
[tex]\dfrac{32+x}{32}=\dfrac{33}{24}[/tex]
SImplify the above expression in order to determine the value of 'x'.
768 + 24x = 1056
24x = 288
x = 12
2)
Given :
Two side lengths of a triangle are 34 and (x + 33).
According to the similar triangles property:
[tex]\dfrac{14}{34}=\dfrac{x}{33+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
34x = 462 + 14x
20x = 462
x = 23.1
3)
Given :
Two side lengths of a triangle are 36 and (x + 35).
According to the similar triangles property:
[tex]\dfrac{20}{36}=\dfrac{30}{35+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
1080 = 20x + 700
20x = 380
x = 19
4)
Given :
Two side lengths of a triangle are (3x + 3) and 42.5.
According to the similar triangles property:
[tex]\dfrac{22.5}{42.5}=\dfrac{2x-5}{3x+3}[/tex]
SImplify the above expression in order to determine the value of 'x'.
85x - 212.5 = 67.5x + 67.5
17.5x = 280
x = 16
5)
Given :
Two side lengths of a triangle are (2x + 8) and (x + 10).
According to the similar triangles property:
[tex]\dfrac{2x + 4}{2x+8}=\dfrac{x+7}{x+10}[/tex]
SImplify the above expression in order to determine the value of 'x'.
(2x + 8)(x + 7) = (2x + 4)(x + 10)
[tex]2x^2+22x+56=2x^2+24x+40[/tex]
16 = 2x
x = 8
6)
Given :
Two side lengths of a triangle are 82 and (7x + 4).
According to the similar triangles property:
[tex]\dfrac{28}{82}=\dfrac{2x+8}{7x+4}[/tex]
SImplify the above expression in order to determine the value of 'x'.
28(7x + 4) = (2x + 8)82
32x = 544
x = 17
For more information, refer to the link given below:
https://brainly.com/question/25277954
In the right triangle shown,
m
∠
V
=
60
°
m∠V=60°m, angle, V, equals, 60, degree and
U
V
=
18
UV=18U, V, equals, 18.
60
°
60°
x
x
18
18
U
U
W
W
V
V
How long is
U
W
UWU, W?
Answer:
what
Step-by-step explanation:
i need help solving this
Answer:
y= - 2/3x + 3
Yolo I still need help with this math problem
Answer:
#25 x=80
#26 x=100
#27 x=75
#28 x=90
Step-by-step explanation:
20 minutes before 3 in the afternoon is written as _:__p.m.
Answer:
2:40 p.m.
Step-by-step explanation:
A rectangle has an area of 75.2m
One of the sides is 0.8m in length.
Work out the perimeter of the
rectangle.
Answer:
94.8
Step-by-step explanation:
Aera is : length *width
75.2 = 0.8 * x then x =94
Perimeter is : length + width =94 +0.8
8c^(2)+6c-2c^(2)-5c
Answer:
6c^2 + c
Step-by-step explanation:
8^2 - 2c^2= 6c^2
6c-5c = c
simplify 3a - 4b - 6a +b
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{3a - 4b - 6a + b}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\text{\underline{(3a - 6a)} + (\bf -4b + b)}[/tex]
[tex]\large\text{\underline{3a - 6a = \bf -3a}}[/tex]
[tex]\large\text{\bf -4b + b = \bf \underline{-3b}}[/tex]
[tex]\large\text{= \bf -3a - 3b}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -3a - 3b }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
–
7u–u+2u+11u=10
u=
what does u equal
A circle that has a center at the point (3, -2) with a radius of 6. Write an equation for the circle.
Answer:
(x – 3)^2+ (y +2)^2 = 36
Step-by-step explanation:
Given data
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,
where (h, k) represents the coordinates of the center of the circle
h=3
k=-2
r= 6
Substitute
(x – 3)^2+ (y – (-2))^2 = 6^2
(x – 3)^2+ (y +2)^2 = 36
Hence the expression for the equation of the circle is
(x – 3)^2+ (y +2)^2 = 36
Median of 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
Answer:
10.5
Step-by-step explanation:
Find the two middle numbers, add them together and divide them by two if it is an even number. For odd numbers, your median will be the middle number.
A cell phone company sold 4,000 cell phones in the month of November. In December, the company held its annual sale and sold 22% more cell phones than it did in November. In January, the company experienced its slowest month, managing to sell only 50% of the number of cell phones sold during the month of December. What is the total number of cell phones sold by the company during the three months combined?
Select one:
A. 10,450
B. 10,900
C. 11,320
D. 11,710
Answer:
None it is 10880 cell phones sold
Step-by-step explanation:
You calculate the all the percentages of 4000 to get to the answer like this ......
4,000 of 22%
=22×4,000
100
4000+880
4880
4,000 of 50%
50×4000
100
2000
4000+2000
6000
4880+6000
=10880
Which of the following expressions is equivalent to x · 65? *
A. (x · 60) + (x · 5)
B. (x · 6) + (x · 5)
C. x + (6 · 5)
D. (x · 6) + 5
Answer:
A. (x · 60) + (x · 5)
Step-by-step explanation:
Answer:
A. (x · 60) + (x ·5)
Step-by-step explanation:
Equation A is simplified to 65x, which is equivalent to x ·65.
Equation B is simplified to 11x.
Equation C is simplified to x + 30.
Equation D is simplified to 6x+5.
Consider the arithmetic sequence 10,12,14,16 if n is an integer, which of these functions generate the sequence?
Given:
The arithmetic sequence is:
10, 12, 14, 16, ...
To find:
The function that generates the given sequence if n is an integer.
Solution:
We have,
10, 12, 14, 16, ...
Here, the first term is 10 and the common difference is:
[tex]d=a_2-a_1[/tex]
[tex]d=12-10[/tex]
[tex]d=2[/tex]
The nth term of an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term, d is the common difference and [tex]n\geq 1[/tex].
Putting [tex]a=10,d=2[/tex] in the above formula, we get
[tex]a_n=10+(n-1)2[/tex]
[tex]a_n=10+2n-2[/tex]
[tex]a_n=8+2n[/tex]
Therefore, the function [tex]a_n=8+2n, n\geq 1[/tex] generates the sequence.
what is 6 divided by 1/4
Answer:
24
Step-by-step explanation:
6 / 1 / 4 =
6 x 4 =
24
Answer:
6 divided by 1/4 is 24
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form
Answer:
[tex]y=-\frac{3}{4} x+3[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+c[/tex]. where m is the slope of the line and c is where the line meets the y-axis.
From the graph:
[tex]c=3[/tex], we can clearly see that the line crosses the y-axis at (0,3)
Let's get two points from the graph to find m.
Point 1: (0,3)
Point 2: (4,0)
[tex]m = \frac{dy}{dx}[/tex], where dy is the difference in y and dx is the difference in x.
Therefore, we can put our points into that equation.
[tex]\frac{3-0}{0-4} = -\frac{3}{4}[/tex]
So, now we have m and c, we can rewrite the equation [tex]y=mx+c[/tex] with our values.
This gives us: [tex]y=-\frac{3}{4} x+3[/tex]
PLSSS HELP MEEE I WILL GIVE BRAINLIEST
Answer: A
Step-by-step explanation:
Marquel can eat 7 Oreos in 2 minutes. How many Oreos can he eat in 6 minutes?
Answer:
21 Oreos
Step-by-step explanation:
2 × 3 = 6
7 × 3 = 21
hope this helps
please help...which of the following is an arithmetic sequence?
Answer:
I would say its 0,2,4,6,....
Answer:
0,2,4,6....
Step-by-step explanation:
Since only they have the common difference between them, they are in the arithmetic sequence
Hope it helps you
Please mark as the brainliest
Thank You
Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot, and
enter the number only.
Answer:
roubd it to 20 and you will get 679.90
when asher looks at the data he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed rigjt. Do you agree ir disagree
Answer:
can you please give more info
Step-by-step explanation:
Agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.
On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.
As we can see in the histogram of Mrs. Jamisos class and Mr. Zimmermann's class, there is fewer data on the right side, hence it is right side skewed.
Thus, agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.
Learn more about the histogram here:
brainly.com/question/16819077
#SPJ2
Five boys namely, Abel, Ben, Carlo, Dave and Elmer made a race. They all started at 7:10 in the morning. Abel finished the race at 7:18 a.M., Ben at 7:32 a.M., Carlo at 7:38 a.M., Dave at 7:42 a.M. And Elmer at 7: 52 a.M. About how many minutes did Abel finished the race?
Answer:
8 minutes
Step-by-step explanation:
minutes Abel completed the race = time finished - time started
7:18 - 7:10 = 8 minutes
only need help on 38 please
Answer: D
Step-by-step explanation:
How do I solve this problem?
Answer:
504
6x84= 504
The picture is too big so you're not going to get the full explanation ok
PLEASE ANSWER EEEEEEEEEEEEEEEEEEE
Answer:
5 x 4 x 3 = 60
Step-by-step explanation:
Do - H x L x W
H is 5
L is 4
W is 3
Translate algebraic words to symbols.
Six times y divided by x squared
A. 6y - X2
B. 6y + 2x
C. (6 + y)/2x
D. 6y/x2
Answer:
D
Step-by-step explanation:
Answer:
D. 6y/x²
Step-by-step explanation:
6×y= 6y
x squared =x²
Q3. If a=b c, b= c a and c = a b then prove that abc=1.
Q4. If a= 5x, b= 5y and ay bx = 25, then prove that xy = 1
Step-by-step explanation:
Question 3 :
We have ,
a = bc . . . . . (i) b = ac . . . . . (ii)c = ab . . . . . (iii)Multiplying all three equations ,
=> a × b × c = bc * ac * ab
=> abc = a²b²c²
=> abc/a²b²c² = 1
=> 1/abc = 1
=> abc = 1
Hence Proved ![tex]\rule{200}2[/tex]
I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?
Answer:
Step-by-step explanation:
Solution:
Given dimensions of the rectangular sheet
Length = 28 cm
Breadth =22 cm
If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.
So Height of the cylinder (h)= 28 cm
Circumference of the base of a cylinder
Use the following sequence to complete the sentence below.
8, -1, -10, -19
The sequence is (a geometric/arithmetic sequence) and has a (common difference/common ratio) of ________
Answer:not sure what u talking about
Step-by-step explanation:
Answer:
Since the ratios are constant, the sequence is geometric. The common ratio is –1. Since the ratios are constant, the sequence is geometric.
Can someone please help me figure out this problem. Thanks
Answer:
.6
Step-by-step explanation:
-2.1-.6=-1.5 / -1 1/2