Answer:
x=-2 solves the equation h(x)=10.
Step-by-step explanation:
Given the function
[tex]h\left(x\right)\:=\:2x^2\:-\:7x-12[/tex]
Putting [tex]h(x)=10[/tex] in the function
[tex]10=2x^2-7x-12[/tex]
switch both sides
[tex]2x^2-7x-12=10[/tex]
add 12 to both sides
[tex]2x^2-7x-12+12=10+12[/tex]
[tex]2x^2-7x=22[/tex]
Divide both sides by 2
[tex]\frac{2x^2-7x}{2}=\frac{22}{2}[/tex]
[tex]x^2-\frac{7x}{2}=11[/tex]
Rewriting in the form x²+2ax+a²
[tex]\mathrm{Add\:}\left(-\frac{7}{4}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=11+\left(-\frac{7}{4}\right)^2[/tex]
[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]
[tex]\left(x-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
slove
[tex]x-\frac{7}{4}=\sqrt{\frac{225}{16}}[/tex]
[tex]x-\frac{7}{4}=\frac{\sqrt{225}}{\sqrt{16}}[/tex]
[tex]x-\frac{7}{4}=\frac{15}{4}[/tex]
[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]x-\frac{7}{4}+\frac{7}{4}=\frac{15}{4}+\frac{7}{4}[/tex]
[tex]x=\frac{11}{2}[/tex]
solving
[tex]x-\frac{7}{4}=-\sqrt{\frac{225}{16}}[/tex]
[tex]x-\frac{7}{4}=-\frac{15}{4}[/tex]
[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]x-\frac{7}{4}+\frac{7}{4}=-\frac{15}{4}+\frac{7}{4}[/tex]
[tex]x=-2[/tex]
The solutions to the quadratic equation are:
[tex]x=\frac{11}{2},\:x=-2[/tex]
Therefore, x=-2 solves the equation h(x)=10.
can someone pls help me with this answer!
Answer:
3.5<2
2>3.5
Step-by-step explanation:
Can someone give me the answers?
Answer:
Step-by-step explanation:
3 1
9 3
15 5
21 7
Find the value of x in each case:
Answer: How’s that 2021 going for u?
Step-by-step explanation:
Determine the domain and the range for this relationship
Drag the tiles to the correct locations on the image. Not all tiles will be used
domain:
range:
Answer:
domain: range: {0, 12, 24, 36, 48, 60, 72}
Step-by-step explanation:
The range & domain {0, 12, 24, 36, 48, 60, 72}.
What are range and domain?To discover the area and variety, we without doubt solve the equation y = f(x) to decide the values of the unbiased variable x and achieve the area. To calculate the variety of the feature, we actually express x as x=g(y) after which find the domain of g(y).
Range, the distinction between the very best and the bottom values in a set. c programming language (mathematics), additionally referred to as range, is a set of real numbers that consists of all numbers between any two numbers inside the set.
The input values. given that there may be an even root, exclude any actual numbers that result in a terrible wide variety inside the radicand. Set the radicand greater than or equal to zero and remedy for x. the solution(s) is the area of the feature.
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HELP
What is the equation for this situation?
The table shows a representation of the number of miles
a car drives over time.
Hours, x
Miles, y
Which could NOT be a point on this table?
3
195
4
260
5
325
6
390
Pattern: Each x value is multiplied by 65
to get each y value.
Answer:
Equation: y = 65x
Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.
Step-by-step explanation:
Pick any two points to find slope, let's got with (3, 195) and (4, 260):
slope m = (y₂- y₁) / (x₂ - x₁)
= (260 - 195) / (4 - 3)
= 65 / 1
m = 65
Find y-intercept by using m from above and another point from your table, let's go with (5, 325):
y = mx + b
325 = 65(5) + b
325 = 325 + b
b = 0
Use m and b to form equation of line:
y = mx + b
y = 65x + 0
y = 65x
Check:
point (3, 195): 195 = 65(3) ====> 195 = 195
point (4, 260): 260 = 65(4) ====> 260 = 260
point (5, 325): 325 = 65(5) ====> 325 = 325
point (6, 390): 390 = 65(6) ====> 390 = 390
Example of a point that doesn't belong on table:
point (8, 500): 500 = 65(8) ====> 500 ≠ 520
The equation of the line is y = 95x option (D) and the point (8, 445) is not on the line option (B) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The table shows a representation of the number of miles a car drives over time. Hours, x
The equation of the line:
y - 195 = (260-195)/(4-3)[x - 3]
y - 195 = 65(x - 3)
y = 65x - 195 + 195
y = 65x
Plug x = 8
y = 195(8) = 1560
Thus, the equation of the line is y = 95x option (D) and the point (8, 445) is not on the line option (B) is correct.
The missing options are:
What is the equation for this situation?
y = 195x +3y = 195xy = 65x +3y = 65xWhich could NOT be a point on this table?
(2, 130)(8, 445)(1, 65)(11, 715)Learn more about the linear equation here:
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what are the zeros of f(x)=(x-1)(x+6)
Answer:
x = - 6, x = 1
Step-by-step explanation:
To find the zeros, let f(x) = 0, that is
(x - 1)(x + 6) = 0
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 1 = 0 ⇒ x = 1
Please answer this im doing this big test idk a single thing :(
Answer:
part a-store x:15
part b-store y
part c-im not sure abt tht one,im sorry
Step-by-step explanation:
Solve 2x + 6 > 20.
O A. x> 13
O B. x>7
O c. x< 13
O D. x<7
Answer:
the answer is x>7
Step-by-step explanation:
The solution of the inequality 2x + 6 > 20 is x<7.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have the inequality 2x + 6 > 20.
Now, Subtract 6 from both side we get
2x+ 6 - 6< 20 - 6
2x < 14
Divide both side by 2 we get
2x/2 < 14/2
x< 7
Learn more about Inequality here:
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c=40squared+35squared minus 2 times40 times 35cos(50)?
the answer to this is then square rooted but i cant figure it out
Step-by-step explanation:
c² = 40² + 35² − 2(40)(35)cos(50)
c² = 1600 + 1225 − 2800 cos(50)
c² = 1025.195
c = 32.019
What is the sum of the first 100 odd numbers? Start with adding the first 2, 3, 4 odd numbers.
Answer:
The sum of the first 100 odd numbers is 10,000
Step-by-step explanation:
Here, we want to find the sum of the first 100 odd numbers
Mathematically, we can use the formula for the sum of term in a sequence which is;
Sn = n/2(a + L)
where n is the number of terms
L is he last term
a is the first term
The difference between two consecutive odd numbers is 2
So:
T100 = 1 + (100-1)2
T100 = 1 + 198
T100 = 199
So;
sn = 100/2(1 + 199)
Sn = 50(200)
Sn = 10,000
Step-by-step explanation:
the sum of the first 100 odd numbers 10000
In a class full of men and women,
4
7
of the class are women. What is the ratio of men to women in its simplest form?
Answer:
3/7
Step-by-step explanation:
7/7 - 4/7 = 3/7
3/7 is in its simplest form!
Answer:
pppppp lo hehehe
Step-by-step explanation:
hehehe
Ashton says that the zeros of the equation y=6x^2−5x−25 are at x=52 and x=−53. Which statement correctly describes Ashton's claim?
Answer:
Ashton is correct. The quadratic expression has the factors (2x−5) and (3x+5), so the zeros are at x=5/2 and x=−5/3.
Step-by-step explanation:
The answer itself has the step-by-step explanation.
Step-by-step explanation:
What is the binary number for 3
Answer:
11
Step-by-step explanation:
hope this helps
0011 hope it helped
Have a nice day! <3
HELPPP ASAP PLSSS
Which is the best estimate of the product of the fractions
When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the line y=x
B. The graph flips over the x-axis
C. The graph flips over the y-axis
Will give brainliest! TYSM! <3
9514 1404 393
Answer:
B. The graph flips over the x-axis
Step-by-step explanation:
When you plot the coordinate pair (x, y), you plot the point 'y' units above the x-axis. If you change the sign of that (multiply the function by -1), then the point becomes (x, -y), and is plotted 'y' units below the x-axis.
The graph flips over the x-axis.
__
Attached is an example of a function with its original graph (red) and the graph after being multiplied by -1 (blue). The blue graph is a reflection of the red graph across the x-axis.
find the slope of japan to the philippines
Answer:
y = 2/1x - 7
y = 2x -7
y= mx + b is the formula
rise over run
Label the endpoints to round 21.897 to the nearest hundredth
Answer:
21.897 to the nearest hundredth is 2.19
What is the remainder when x3+4x2−7x−10 is divided by x+4?
Enter your answer as an integer, like this: 42
Answer:
18
Step-by-step explanation:
If a polynomial f(x) is divided by (x + h) then the remainder is equal to f(- h)
Given
f(x) = x³ + 4x² - 7x - 10 and divided by (x + 4), then the remainder is
f(- 4) = (- 4)³ +4(- 4)² - 7(- 4) - 10 = - 64 + 64 + 28 - 10 = 18
Thus the remainder is 18
Please help me out!
Answer:
50
Step-by-step explanation:
Need help asap thank u !!! Finding the measure of angle N
Answer:
Its 20
Step-by-step explanation:
A restaurant has two appetizer specials. Tomato bread costs $5.50, and stuffed mushrooms cost $6.75. The total amount in sales from the two appetizers on a Friday night was $186.75. Which equation can be used to represent x, the number of stuffed mushroom orders and y, the number of tomato bread orders?
5.5x + 6.75y = 186.75
6.5x + 5.75y = 186.75
6.5x + 5.5y = 186.75
6.75x + 5.5y = 186.75
Answer:
d
Step-by-step explanation:
Answer:
D) 6.75x+5.5y=186.75
Step-by-step explanation:
Took the quiz.
on a number line, 2.2 would be located. Choose all answers that make a true statement.
A. between 2.1 and 2.3
B. to the left of 2.54
C.to the right of 2.6
D. to the right of 2.19
50 pointsssss!!!!
Donny used a ruler to measure the distance across the face of a dime.
Which answer is a reasonable measurement for the width of the dime?
17.9 mm
0.705 in.
1.79 cm
7.05 in.
17.99mm and ).705 in
Step-by-step explanation:
Answer:
0.705 inches and 1.79 centimeters are both reasonable answers (they're the same)
Step-by-step explanation:
18 milimeters is too small
7 inches is too big
what is the slope of the line that contains these points?
Please help ASAP!!!!!!
Answer:
D: 2/3x - 13/12 = -5/12x
Step-by-step explanation:
2/3x - 5/6 = -5/12x + 1/4
To simplify, the denominator must be the same. So,
5/6 = 10/12
and 1/4 = 3/12
Then, you move the values to the same side via addition or subtraction.
2/3x (- 10/12 - 3/12) = -5/12x
2/3x - 13/12 = -5/12x
What are the domain and range of f(x) = -377
Answer:
Domain:(−∞,∞),{x|x∈R}(-∞,∞),{x|x∈ℝ}
Range:{−377}
Step-by-step explanation:
Pls help
11% of 57 =
39% of 28 =
8% of 97 =
6% of 24.4 =
77% of 9.2 =
Answer:
1, 6.27, 2, 10.92, 3, 7.76, 4, 1.464, 5, 7.084
Step-by-step explanation:
Answer:
11% of 57= 56.89
39% of 28= 27.61
8% of 97= 96.92
6% of 24.4= 24.34
77% of 9.2= 8.43
Please help me out!
Answer:
it is x3=0.4
Step-by-step explanation:
If you want to find the decimal form of a fraction, all you need to divide the numerator by the denominator by using a calculator or long division method. Right after, all you need to add the decimal number to the whole number. What is 5/8 as a decimal? 5/8 expressed in a decimal form expressed as 0.625.
translate to an algebraic expression:
12 less than the square of a number
Answer:
12-x²
Step-by-step explanation:
I hope this helps you, please give me brainliest
Which equation has a slope of -34 and goes through the point (-3,4)?
y-4=-34(x-3)
y-4=-34(x+3)
y-3=-34(x+4)
y+3=-34(x-4)