Answer:
[tex](f-g)(x)= x^2-4x-5[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2-3x-10\text{ and } g(x)=x-5[/tex]
And we want to find (f-g)(x).
(f-g)(x) is equivalent to f(x)-g(x).
Therefore:
[tex]\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}[/tex]
Simplify:
[tex]\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}[/tex]
Therefore:
[tex](f-g)(x)= x^2-4x-5[/tex]
Answer:
x^2 -3x+5 = 0
Step-by-step explanation:
work out the value of x
Answer:
117 degrees
Step-by-step explanation:
So we already know that one angle is 38 degrees, so we have that one. The angle, 101 is exterior, and we have to subtract 180 from that to get the interior angle. We get a difference of 79. Since the sum of a triangle's interior angles are 180, we have to add 38+79 to get 117. Then, we have to subtract it from 180 to get the value of the interior angle as 63 degrees. Because x is on the outside, we have to again subtract 63 from 180 to get the missing value of x as 117.
180° - 101° = 79°
180° - (38° + 79°)
180° - 117° = 63°
180° - 63° = 117°
x = 117°
Identifying Perfect Squares
Which are perfect squares? Check all that apply.
072
0 36
8
16
81
O 64
48
Answer:
72- no
36-yes
8- no
16- yes
81-yes
64-yes
48-no
Step-by-step explanation:
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.
Answer:
Width of rectangular piece = x = 8 inches
Step-by-step explanation:
Perimeter of rectangular piece = 62 inches
Let width of rectangular piece= x
and length of rectangular piece = x+15
We need to find width i.e value of x
The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Putting values in formula and finding Width:
[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]
After solving we get value of x = 8
So, Width of rectangular piece = x = 8 inches
Pls I need help !!!!!!
Answer:
c=2 k=11 n=14
Step-by-step explanation:
What type of number is "0.27820.27820," point, 2782?
Answer:
Decimal
Step-by-step explanation:
Im going to assume you double pasted, happens sometimes. so the answer would be decimal.
On a scale drawing , a tree is 6 3/4 inches tall.The scale factor is 1/20 . Find the height of the actual tree.
Answer:
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ratio pls help very easy
In January, Mr. Cooper started a new exercise plan weighing 200 pounds. In March, he found his weight had increased by 5% because the exercise had increased his muscle mass. He added some work on the treadmill to his exercise routine found in May that he had dropped 6% from his March weight.
Answer:
In March he weighed 210 pounds
Step-by-step explanation:
In May he weighs 197.4 pounds
A roller coaster car starts at the loading platform, rises 30.4 meters, and then takes a steep dive of 50.4 meters into a valley. Plott
value of the altitude of the car after taking the steep dive directly on the vertical number line. Assume the platform is at an altitude
O meters.
Answer: 2.5 meters long
Step-by-step explanation:
someone help what is the answer to all i will give brainliest to best answer
6th gradw math
Answer:
The first one
Step-by-step explanation:
1. 36/-3 = -12
2.-4-(-16) =12
3.(-3)(-4) = 12
4.21+ (-9) = 12
The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.
Let me know if you need further detail for them :)
Use the information to answer the following question.
The angle measures of a triangle are shown.
Angle A: (5x – 5) degrees
Angle B: (3x + 3) degrees
Angle C: (5x) degrees
The sum of the measures of the three angles is equal to
180
°. What is the measure of Angle B? Explain
Answer:
Angle A
Step-by-step explanation:
subtract 3x and 5x
you get 2x
-5-3=
you get -8
divide -8/2x
x=-4
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Sum of the measures is equal to 180° .
So :
[tex]Angle \: \: A + Angle \: \: B + Angle \: \: C = 180 \\ [/tex]
Thus :
[tex](5x - 5) + (3 x + 3) + (5x) = 180 \\ [/tex]
Collect like terms
[tex]13x - 2 = 180[/tex]
Add sides 2
[tex]13x - 2 + 2 = 180 + 2[/tex]
[tex]13x = 182[/tex]
Divide sides by 13
[tex] \frac{13x}{13} = \frac{182}{13} \\ [/tex]
[tex]x = 14[/tex]
_________________________________
[tex]Angle \: \: B = 3x + 3[/tex]
[tex]Angle \: \: B = 3(14) + 3[/tex]
[tex]Angle \: \: B = 42 + 3[/tex]
[tex] Angle \: \: B = 45°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
D is a point on AB, AC=7, AD=6, BC=18
What is the length of DB?
A. 5
B. 12
C. 19
D. 25
Answer:
Length of DB = 19 (Approx)
Step-by-step explanation:
Given:
AC=7
AD=6
BC=18
Find:
Length of DB
Computation:
AB = AD + DB
AB = 6 + DB
AC + BC ≥ AB
7 + 18 ≥ 6 + DB
19 ≥ DB
Length of DB = 19 (Approx)
A shop keeper buys a stove forma manufacturer for $860. Calculate
The selling price if he makes a profit of 15%
Answer: 129
Step-by-step explanation:
If ABCD was a kite, and P was the intersection of its diagonals, what must be true? (3 points)
There are two pairs of opposite congruent angles.
The diagonals each bisect the other diagonal.
The adjacent sides are equal.
The opposite sides are equal.
Answer:
The opposite sides are equal
Is 30.030 greater than, less than, or equal to 30.03
Answer:
equal
Step-by-step explanation:
Answer:
equal
Step-by-step explanation:
30.030 can be simplified to 30.03. the zero after the .03 is unnecessary. since 30.030 can be written as 30.03, 30.030 is equal to 30.03
how do you determine the quadratic equation having roots that are real numbers and equal
Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
ANSWER:
when the value of (b^2-4ac) is positive, then the roots are real and distinct.
when it is 0 the roots are equal and if it is negative than its root is not real.
Write an equation in slope-intercept form of the line that passes through the given points.
Answer: y= -3x + 2
Step-by-step explanation:
y=mx+b
m= y2-y1 / x2-x1 = -1 - 5 / 1 - (-1)= -6/2 = -3
y=-3x+b
pick a point and solve for b by plugging in the x and y values of that point.
y=-3x+2
Felicity writes −2 2/5 as a fraction using the same method she knows for positive mixed numbers. Her work is shown: Multiply the whole number by the denominator: −2⋅5=−10. Add the numerator: −10+2=−8. Write this number over the original denominator: −2 2/5=−8/5. Does this method work to correctly write −2 2/5 as a fraction? Complete the statements below to answer the question.
Answer:
Step-by-step explanation:
2 2/5 = 12/5
-2 2/5= -12/5
To change a mixed number to an improper fraction, take the bottom number or denominator and times by the whole number and then add the top or numerator. So 5*2=10+2=12 put that on top of the denominator you already have or 5
Which equation represents the line that passes through points (1,-5) and (3, -17)?
y=-6x+1
Oy - 6x + 1
y=-6x-1
O y=x-1
Need ASAP!!
Answer:
The equation y = -6x + 1 represents the line ⇒ A
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the line∵ The line passes through points (1, -5) and (3, -17)
∴ x1 = 1 and y1 = -5
∴ x2 = 3 and y2 = -17
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-17--5}{3-1}[/tex] = [tex]\frac{-17+5}{2}[/tex] = [tex]\frac{-12}{2}[/tex] = -6
∴ m = -6
→ Substitute it in the form of the equation above
∴ y = -6x + b
→ To find b substitute x by 1 and y by -5 in the equation
∵ -5 = -6(1) + b
∴ -5 = -6 + b
→ Add 6 to both sides
∴ 1 = b
→ Substitute it in the equation
∴ y = -6x + 1
∴ The equation y = -6x + 1 represents the line
Plz help me with the First one and the 3rd one it’s due in a few minutes!!!!! Plz help me and will make you a edit !!!
Answer: I think
#3- A
#4- C
4(x-2)+5x=7x-14 find x
Answer:
x = -3
Step-by-step explanation:
Answer:
x= -11
Step-by-step explanation:
you multiple 4 times the things in the parentheses and solve for x
PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:
y=22.1
Notice how 24.7 and 11.7 are 1.3 times larger than the corresponding sides in the smaller triangle. Therefore, 17 times 1.3 should give us our y value.
17 x 1.3=22.1
22.1=y
Step-by-step explanation:
Heyy can u help me ??
Kennedy goes to a store an buys an item that costs x dollars. She has a coupon for 35% off, and then a 7% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Kennedy paid at the register.
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to create a two-way table to analyze her results. Which describes the variables she can use in the first row and first column to create her table?
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
it is c i just got 100 percent
how may times can 24 go into 50
Answer:
Twice
Step-by-step explanation:
Because 24 x 24 would be 48
don’t be all up on me like that
Sucks </3
HSGYAUSHBJASKDUGAYHD
anyways
goodluck
Answer:
for you explanation just put i chose 6 to the third power because that is the only answer that does not equal 64
Step-by-step explanation:
Rewrite in simplest terms :
9(-8d - 7 ) +6(d+7)
Answer: -66d-21 I think.
Step-by-step explanation:
9(-8d-7)+6(d+7)
-72d-63+6d+42 Distributive Property
-72d+6d+-63+42 Combine Like Terms
-66d-21 Answer
What is the equation of the line that passes through the point (- 4, 4) and has a slope of 3/4
Answer:
y = 3/4x + 7Step-by-step explanation:
Slope-intercept form:
y = mx + bGiven
m = 3/4 and point (-4, 4)Substitute values to find b:
4 = 3/4(-4) + b4 = -3 + b7 = bThen the line is:
y = 3/4x + 7
Expand and simplify (x + 3)(x + 5)
Step-by-step explanation:
answer= X2+3X+5X+15
= x2 +8X+I5
Graph the function f(x) = 21(0.5)^x
Answer:
Brainliest if I am right? uwu