All categories

2 years ago

Given the parent functions f(x)=3x+2 and g(x)=5^x-10,what is g(x)-f(x)?

Mathematics

1 answer:

Stels [109]2 years ago

4 0

-3x + 5^x - 8 is what it is simplified so thats your final answe :}

You might be interested in

spayn [35]

Answer:

1) y= -.5

2)y= 7

3)x= -2

4 0

2 years ago

Barbara has a rectangular shaped mouse pad the longest side of the mouse pad is 8 inches and the shortest side is 3 inches what

Fed [463]

The area is 24² because 8*3 is 24
The perimeter is 8+8+3+3 which is 16+6 and that equals 22
22 is the Perimeter and the Area is 24²

7 0

3 years ago

Factorize 2a^2+7a-15

loris [4]

$\huge\bf \pink {\underline{Solution :-}}$

$2 {a}^{2} + 7a - 15$

$= 2 {a}^{2} + 10a - 3a - 15$

$= 2a(a + 5) - 3(a + 5)$

$= (a + 5)(2a - 3)$

$\sf \red{Hence, Answer \: is \: (a + 5)(2a - 3).}$

$\\$

$\bf \purple{ \underline{ Important \: Formulas \: for \: Factorization :-}}$

$• \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2}$

$• \: (a + b)(a - b) = {a}^{2} - {b}^{2}$

$• \: {a}^{2} - 2 ab + {b}^{2} = {(a - b)}^{2}$

$• \: {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3}$

$• \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{3}$

$• \: {(a + b)}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2} )$

$• \: {(a + b)}^{2} - {(a - b)}^{2} = 4ab$

$• \: (a + b)( {a}^{2} -ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

$• \: (a - b)( {a}^{2} + ab + {b}^{2} ) = {a}^{3} - {b}^{3}$

$• \: {( \frac{a + b}{2} )}^{2} - ( {\frac{a - b}{2} } )^{2} = ab$

5 0

3 years ago

Read 2 more answers

If AD and BD are bisectors of CAB and CBA respectively. Find the sum of angles x and y.

olchik [2.2K]

The picture in the attached figure

step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2

step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35

hence

the answer is
x+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]

5 0

3 years ago

Ilk defa buraya giriş yapıyorum sırf deneme için bir soru paylaşıyorum. 23*11= yukarıdaki soruyu yaparsanız sevinirim

EleoNora [17]

Cevap:

253

Adım adım açıklama:

23 ve 11'in çarpımı;

_____2 ___ 3

___ * _ 1 ____1

_________

_____2____3

_ + _ 2_3

____________

__2__5____3

____________

Dolayısıyla 23 * 11'in çarpımı 253'tür.

Hesap makinesi problemi çözmekte zorlanırsa aynı sonuç.

7 0

2 years ago