Can anyone solve the problem on the picture?
Quotient:
[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]
Remainder:
[tex]f(x) = 9x^2+68x+35[/tex]
By the remainder theorem,
[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]
Which is the remainder when f(x) is divided by (x+7)
answer this question!.
Answer:
∠A = 44°
Step-by-step explanation:
Let b represent the measure of the exterior angle at B. Let c represent the measure of the exterior angle at C. The sum of angles in the lower triangle is ...
b/2 +c/2 +68° = 180°
b +c = 360° -136° . . . . . multiply by 2, subtract 136°
b +c = 224°
__
The exterior angle b is the supplement of the interior angle there, so the interior angle B is ...
B = 180° -b
The exterior angle c is the sum of the remote interior angles, so we have ...
c = B +A
c = (180° -b) +A
A = (b +c) -180° . . . . . . . . add b-180° to both sides
A = 224° -180° = 44° . . . . substitute for (b+c)
The measure of angle A is 44°.
_____
Additional comment
The angle naming is perhaps a little unconventional, but we wanted to use names that made the answer less cumbersome to write. We consider the angle A, B, C to be the interior angles of ΔABC, and we have named the exterior angles at B and C as 'b' and 'c'.
Conventionally, 'b' and 'c' would name the sides opposite angles B and C, respectively. We're not concerned with side lengths here, so we used those letters for an unconventional purpose.
The points (7,5) and (-5, 8) fall on a particular line. What is its slope
Answer:
-3/12
Step-by-step explanation:
To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex] to find the slope.
plug in the coordinates: 7,5
-5,8
[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]
Have a wonderful week!
here are 8 cardsthere is a number on each of these 6 cards
Answer:
I don't knowStep-by-step explanation:
sorry I apologize
Please help ASAP!! I am in desperate need and please don’t just do this for points
Answer:
[tex]106 yd^2[/tex]
Step-by-step explanation:
Answer is attached. Let me know if you would like another explanation that would yield the same solution.
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Calculate the upper bound for the area of the rectangle.
Answer:
error= 0.1/2, 0.05
4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35
4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
Step-by-step explanation:
Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + = 0
A. -6.7 + 6.8 B. -6.7 + ( - 6.6) C. 7.2 + ( -7.2) D. 7.2 + (-7.3)
we have -4.5 + 4.4 + x = 0
<=> -0.1 + x = 0
<=> x = 0.1 ( P/s: x is the answer to fill in the blank )
Now look in the answer below we have :
+) A. -6.7 + 6.8 = 0.1 (S)
+) B. -6.7 +(-6.6) = -13.3 (NS)
+) C. 7.2 + (-7.2) = 0 (NS)
+) D. 7.2 + (-7.3) = -0.1 (NS) ( P/s: NS : not selected , S : selected )
So A is the correct answer
Ok done. Thank to me :>
Answer:it is D
Step-by-step explanation:
What are the values of m and n
Answer:
[tex]m=20°; n=45°[/tex]
Step-by-step explanation:
Ok, let's first look at the right triangle. It's a right triangle, and it's isosceles. It means the two small angles are both 45°. So we've found n. Finding m is a simple matter of noticing that the larger triangle is also isosceles, so the two angles both measure 45+m, and the final angle is 50. But since the total has to be 180 we can write that [tex](45+m)+(45+m) +50 = 180.\\2m+50 = 90 \rightarrow 2m=40 \rightarrow m=20[/tex]
Find the value of X
PLEASE HELP ME!!!!!!!!
22 because the bottom corner is 68. 68 time 2= 138 then you do 160-138=22 meaning x=22
The graph of f(x) = 2x + 3 is shown above. Which graph represents f-'(x)?
Answer:
May we assume "f-'(x)" means the fiurst derivative of f(x)? I'm not sure what f-'(x) sign means, if not that. The answer assume this is the first derivative. No graphs are shown, so I'll add one.
Step-by-step explanation:
f(x) = 2x + 3
f'(x) = 2
The graph would be a staight vertical line through x=2. The slope of the line f(x) = 2x + 3 is 2
Write the slope- intercept form of the equation
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?
Answer:
105
Step-by-step explanation:
1,000 divided by 3.5% is 35
35 x 3 is 105
Since you are just asking for just the interest and not the total the answer is 105
The interest that Amy should pay is $105.
Given that,
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.Based on the above information, the calculation is as follows:
[tex]= 1000 \times 3.5\% \times 3[/tex]
= 105
Learn more: https://brainly.com/question/14279491?referrer=searchResults
The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo
Answer:
51 adults and 193 children
Step-by-step explanation:
Number of children = c
Cost for c children = c*4 = 4c
Number of adults = a
Cost for a adults = 6a
Total people = 244
a + c = 244 ---------------(I)
a = 244 - c ----------(II)
Cost for 244 people = $ 1078
6a + 4c = 1078 -------------(III)
Substitute a = 244 - c in equation (III)
6*(244 - c) + 4c = 1078
1464 - 6c + 4c = 1078
1464 - 2c = 1078
-2c = 1078 - 1464
-2c = -386
c = -386/-2
c = 193
a = 244 - 193
a = 51
PLEASE HELP IT’S DUE TMR!!
4856
1.07
12.9
7.00
0.00199 (199)
0.000660 (660)
:)
Please help me, I’m stuck on this question.
Solve
3h/7 − 11 =2 23/28
Solve for h, and provide your answer.
Please include explanation and all your steps toward the answer
Thank you!
3h/7-11=2×23/28
h=25/2
how to do the first question?
Answer:
DUDE MAYBE SHOW THE GRAPH ????
Explain why the square root of a number or variable can be either positive or negative.
Answer:
Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.
Step-by-step explanation:
a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.
Answer/Step-by-step explanation:
The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.
Solve the equation for y. Then find the value of y for each value of x.
2x - 5y = 11; x = -1,0, 1
Solve the equation for y.
y =
When x = -1, the value of y is
When x = 0, the value of y is
When x = 1, the value of y is
can somebody help like rn
Answer:
4
Step-by-step explanation:
(25-18+5)/4=4
(insert the variables)
10. The perimeter of a rectangular field is 100 ft and its width is 20 ft. Find
the length and the area of this rectangular field.
Answer:
Length is 30ft, area is 600ft squared
Step-by-step explanation:
Please help! I will give points <3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC
2. m2BDC=3(x-5) and m--BC=x+25,what is MZA
3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC
4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?
Answer:
[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]
Step-by-step explanation:
What is the length of the diagonal of the square shown below?
5
45°
5
5
90°
5
A. V5
B. 5
C. 55
D. /10
E. 52
F. 25
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the diagonal ( hypotenuse ) be d , then
d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )
d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E
Carswell has a spinner with three equal sections labeled Stop, Go, and Wait.
He spins the spinner three times. How many outcomes are in the sample space of the experiment?
The outcomes are
(Stop,Go,wait)(Stop,Stop,Stop)(Stop,Go,Stop)(Stop, wait,Stop)(Stop,Stop,Wait)(Wait,Stop,Stop)(Go,Stop,Stop)(Go,Go,Go)(Wait,Wait,Wait)Total Outcomes=3×3=9
Solve the equation for x.
x-8 = 2
Answer:
x=10
Step-by-step explanation:
Convert 9 km into cm
Answer:
900,000
Step-by-step explanation:
Ava has 98.2 ounces of tomatoes. Tomatoes cost $1.30 a pound. How much will she pay?
Answer:
$7.97
Step-by-step explanation:
98.2 Oz = 6.1375 Lbs
6.1375 Lbs times $1.30 = 7.97875
3 candidates run for president of the club and 5 candidates run for vice-president. How many different possibilities for
filling the two positions are there?
b. 5
c. 8
d. 3
a. 15
Help maths please eeeee
Answer: row 4 is “14441’’
Step-by-step explanation: so first square is 4 second is 4 and third is 1
Answer:
1 4 6 4 1
Step-by-step explanation:
By summing the 2 numbers above them, as instructed , then
1 + 3 = 4 and 3 + 3 = 6
The row is then
1 4 6 4 1
3
Choose the option(s) that will show the effect (x-2. y+3) has on the figure?
left 2 units
down 2 units
down 3 units
up 2 units
right 3 units
left 3 units
up 3 units
right 2 units
Hiii!!! Can some one please help meee!!! I will give you a lot of points!!!
Answer:
left 2 units, up 3 units
Step-by-step explanation:
(x-2, y+3)
-2 means 2 to the left
+3 means 3 up
So it would be left 2 units, up 3 units.
Answer:
left 2 units up 3 unitsStep-by-step explanation:
Rule:
If x+b right in b units
if x-b left in b untits
if y+b up in b units
if y-b down in b units
You don 't have to use this rule if you know that on the Ox axis the line goes horizontally (the abscissa axis); And on the Oy axis vertically (the ordinate axis)
Then :
x-2 left in 2 units
y+3 up in 3 units