Answer:
i) h(x) = 0 when x = 1, and when x = 5
ii) The graph of h intercepts the x-axis at x = 1 and x = 5
iii) The zeros of h are 1 and 5
Step-by-step explanation:
Question;
From a similar question on the website, we have;
i) h(x) = 0 when x = _, and when x = _
ii) The graph of h intercepts the x-axis at x = _ and x = _
iii) The zeros of h are _ and _
Explanation;
The given function is h(x) = (2·x - 2)·(x - 5)
When h(x) = 0, we have;
h(x) = (2·x - 2)·(x - 5) = 0
Therefore, we have;
(2·x - 2) = 0/(x - 5) = 0
(2·x - 2) = 0
x = 2/2 = 1
x = 1
Where we proceed with (x - 5) = 0/(2·x - 2) = 0, we get;
(x - 5) = 0/(2·x - 2) = 0
(x - 5) = 0
x = 5
Therefore, when h(x) = 0, x = 1, and x = 5
ii) The graph of h intercepts the x-axis at h(x) = 0, at x = 1, and x = 5
Therefore, the graph of h intercepts the x-axis at (1, 0), and (5, 0)
iii) The zeros of h are the values of x for which h(x) = 0, which are x = 1, and x = 5
[tex]\sqrt{x - 5} - \sqrt{3 - 2.x} = 0[/tex]
Answer:
x = 8/3
Step-by-step explanation:
Copy the right side of the given to the right side of the equation.
sqrt(x - 5) = sqrt(3 - 2x) Square both sides.
x - 5 = 3 - 2x Add 2x to both sides
2x + x - 5 = 3 Combine
3x - 5 = 3 Add 5 to both sides.
3x = 3 + 5 Combine
3x = 8 Divide by 3
x = 8/3
How many times is the value of the digit 5 in 65.1748 lesser than the value of
the digit 5 in 3526.987?
100
1/100
1000
10
Answer:
3 times
Step-by-step explanation:
The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.
please help me i'm being timed
Answer:
B. A linear, partial variation
Step-by-step explanation:
We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.
find the exact value of the indicated trigonometric functions for the acute angle a:
Given: cot a= 3 3/7, find: cos a and tan a?
Answer:
cot a = 3 3/7
or, cot a = 24/7
or, tan a = 7/24
So,
cos a = 24/25
tan a = 7/24
Answered by GAUTHMATH
Please help explanation if possible
[tex] \Large \colorbox{red}{ \sf\color{white}{Aиswεr : }}[/tex]
Sudden uncontrollable fear or anxiety, often causing wildly unthinking behaviour.
Answer:
y = 0.45x
Step-by-step explanation:
After 2 secs can ring 2 × 0.45
After 3 secs can ring 3 × 0.45
After 4 secs can ring 4 × 0.45 , then
After x secs can ring y = x × 0.45 = 0.45x , that is
y = 0.45x
What is the value of x in the equation -5/4x=-160
[tex] \\ \sf \longmapsto \: - \frac{ 5}{4} x = - 160 \\ \\ \sf \longmapsto \: \frac{5}{4} x = 160 \\ \\ \sf \longmapsto \: x = 160 \times \frac{4}{5} \\ \\ \sf \longmapsto \: x = 32 \times 4 \\ \\ \sf \longmapsto \: x = 128[/tex]
Step-by-step explanation:
-5/4x=-160
5/4x=160
x=160×4/5
x=640/5
x=128
How do you express a gain of 4 yards in a football game as a rational number?
OA 4.5 yards
OB. 4 yards
OC. yards
OD. - yards
OE-4 yards
PLEASE HELP
Answer:
B- 4 yards
4 is a rational number along with the number of yards gained.
A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost F(m) is a function of the number of miles M that the car is driven.
Plan A: f(m) = 0.12 + 75
Plan B: f(m) = 0.35m
I. In complete sentences, translate each function into a verbal model describing the total cost of the rental in terms of the number of miles that the car is driven.
II. For each function, determine how the rate of change will affect the total cost of a car rental.
III. For a car rental that will include a maximum of 250 miles for the duration of the rental, which plan is the most cost effective?
Answer:
Plan B
Step-by-step explanation:
Problems 5-9, Find the value of the variable to the nearest tenth of each triangle.
Answer:
35
Step-by-step explanation:
If the mortgage interest rates increase, this would be an example of changing your external environment.
Answer:
Economic conditions
Step-by-step explanation:
If the mortgage interest rates increase, this would be an example of changing Economic conditions in a company's your external environment
Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.
once the debtor repays the mortgage he retains the full ownership of his property.
5. PLEASE HELP ME
Write the equation in standard form. Then factor the left side of the equation.
2x2 + 7x = 15
A. (2x – 3)(x + 5) = 0
B. (2x + 3)(x + 5) = 0
C. (2x + 5)(x – 3) = 0
D. (2x – 5)(x + 3) = 0
Answer:
7x=11
Step-by-step explanation:
do it
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
21. C, 24.B
Step-by-step explanation:
Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.
Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:
[tex]55^2=40^2+24^2-2(40)(24)\cos(C)[/tex]
We can subtract 40 squared plus 24 squared from both sides to get
[tex]849=-2(40)(24)\cos(C)[/tex]
Negative two times 40 times 24 equals -1920. Dividing -1920 from both sides gets us
[tex]\frac{849}{-1920}=\cos(C)[/tex]
Plugging this equation into a calculator and solving for C, we get the answer as approximately
C = 116.24353.
This rounds to 116.2
translate into an algebraic expression, find the number if 10% of it is m
Answer:
m/0.1
Step-by-step explanation:
--
we want to find it
-----
10%*x=m
OF means multiply
IT is any variable
IS is equal
10%*x=m
0.1*x=m
x=m/0.1 IN THE ANSWER DO NOT INCLUDE x
Find the length of the segment indicated. Round to the nearest tenth
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
Mr. Pearce wanted to write a check for $85. He noticed that he had only $80 in his checking account. What integer shows what Mr. Pearce's checking account balance would have been if he had written the check?
Answer:
-5 since he only had 80 in his checking
Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)
Answer:
y = 11/5x - 32/5
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 9 / 2 - 7
-11 / -5
= 11/5
y = 11/5x + b
-2 = 11/5(2) + b
-2 = 22/5 + b
-32/5 = b
given that the line a is parallel to line b and that line c is parallel to line d, if m∠13 = (12x-22)° and m∠14 = (9x-29)°, find m∠2
Answer:
70°
Step-by-step explanation:
m<13 + m<14 = 180
So, 12x-22+9x-29=180
or, 21x=180+29+22
or, 21x=231
or, x=11
now m<2=<m14=9x-29
or, m<2=9×11-29=70°
Answered by GAUTHMATH
How to do this question
Answer:
Step-by-step explanation:
Answered by G a u t h m a t h
Please mark it as brainliest & thank it if it helped you
Which line is parallel to the line given below?
x - 3y = 24
a. y = -x + 3
b. y = -3x - 1
c. y = 3x + 8
d. y=-x-4
Answer:
x - 3y = 24
B. y = -3x - 1
Step-by-step explanation:
Hope it helped.
° ° °
A trapezoid has two basses that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid? A) 95 cm2. B) 64 cm2. C) 47.5 cm2. D) 24 cm2
Answer:
C.47,5cm²
Step-by-step explanation:
Can somebody help me please!!!!!
Answer:
0
Step-by-step explanation:
g[f(x)] = x^2 - 3
= 3x^2
if gf(0) = 3(0)^2
= 0
A seat’s position on a Ferris wheel can be modelled by the function y = 18 cos 2.8(x + 1.2) + 21, where y represents the height in feet and x represents the time in minutes. Determine the diameter of the Ferris wheel.
Step-by-step explanation:
A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+320
Given AB= CD, and mAB = 134 find mCD
Answer:
arc CD = 134°
Step-by-step explanation:
Given 2 equal chords in a circle then the minor arcs are equal, that is
arc CD = arc AB = 134°
The value of mCD is 134°.
What is an arc?The arc is a portion of the circumference of a circle.
Given data as :
chord AB = chord CD, and
mAB = 134°
The minor arcs are equal if there are two similar chords in a circle.
So, arc CD = arc AB
Substitute the value of mAB = 134° in the above equation,
⇒ mCD = 134°
Hence, the value of mCD is 134°.
Learn more about arc of circle here:
brainly.com/question/1577784
#SPJ2
Intuitively, does it make sense that all circles are similar? Why or why not?
Answer with explanation:
Yes, each point on a circle is a fixed distance from the center of the circle. This is called the radius of the circle. By definition, all radii of a circle are equal.
Similar polygons have corresponding sides in similar proportion. Regardless of how large a circle is, each point on the circle will still be a fixed distance away from center of the circle. Therefore, the radii are in a constant proportional and all circles are similar.
x^2-4x^2y^2+y^2+2*x*y
Answer:
(x + y - 2xy)*(x + y + 2xy)
Step-by-step explanation:
x^2-4x^2y^2+y^2+2*x*y
=x^2 + 2xy + y^2 - (2xy)^2
=(x + y)^2 - (2xy)^2
=(x + y - 2xy)*(x + y + 2xy)
Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.
Answer:
-11, 3
Step-by-step explanation:
We know one of the roots are
[tex](x+ 4) {}^{2} = 49[/tex]
[tex]x + 4 = - 7[/tex]
[tex]x + 4 = 7[/tex]
[tex]x = - 11[/tex]
or
[tex]x = 3[/tex]
A right triangle has a 12in base and an 8in height. What is the area of the triangle, in in??
Answer:
48
Step-by-step explanation:
using the formula 1/2 b*h
8*12=96
96/2=48
Solve the compound inequality. Graph your solution. 2x – 2 < –12 or 2x + 3 > 7
Answer:
09
Step-by-step explanation:
A group of random people were polled about whether they prefer to communicate using text messages or by phone calls. The results are shown in the conditional relative frequency table by row.
A 4-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled text with entries 0.57, 0.46, 0.50. The third column is labeled call with entries 0.43, 0.54, 0.50. The fourth column is labeled total with entries 1.00, 1.00, 1.00.
What is the probability of someone preferring phone calls, given the person is a female?
43%
46%
54%
57%
Answer:
C. 54%
Step-by-step explanation:
Answer:
C. 54%
Step-by-step explanation:
Set up the ratio for cos(A)
Answer:
21/35
Step-by-step explanation:
Recall that Cos = Adjacent/Hypotenuse
We want to find Cos A
The adjacent of A is 21 and the hypotenuse is 35
So cos A would equal 21/35
